磨削工艺系统的动态特性及应用研究
|
摘要
磨床的稳定磨削是保证磨削加工顺利进行和获得高加工质量的前提条件和关键技术之一。磨削工艺系统是磨床、刀具、夹具和工件的统一体，其动态性能的优劣对稳定磨削起到了至关重要的作用。本文基于非线性理论，通过对磨削加工过程的分析，研究了非线性振动与各种因素之间的关系，提出抑制磨削振动的措施；将有限元法和实验模态分析法结合，分析了磨床的砂轮架主轴与砂轮轴连接状态时自由模态和工况模态下的动态特性；基于不平衡量系统分析了砂轮轴的振动特性；对砂轮轴系统进行了动平衡分析，设计了动平衡补偿装置；基于动态子结构法，采用理论分析、试验测试和数值计算相结合的方法，系统地分析了高精密磨床的动态特性，并对薄弱的部件提出了改进方案。
主要的研究工作包括以下几个方面：
（1）针对外圆磨削加工领域的非线性理论进行了研究，建立了磨削过程中非线性振动模型，研究了砂轮与工件界面间的角频率、非线性阻尼和非线性刚度等参数对系统振动的影响，提出了保证磨削加工质量增加阻尼和增大刚度的方法。基于多尺度法，对磨削加工过程的共振区、非振区等的非线性振动性进行了定量分析，得到主共振和非主共振下的幅频率特性方程，有效地揭示了磨削过程的非线性规律，为磨削过程中提高加工质量的途径提供了理论依据。
（2）基于弹性理论，采用有限元分析和实验模态分析相结合的方法，构建了主轴/砂轮轴系统在自由状态、工况约束条件下的动力学模型，计算出系统的各阶固有频率和振型，通过实验模态分析方法验证了有限元模型的合理性，进一步分析了该磨床主轴转速对刀柄与主轴接触应力的影响，轴向拉紧力对主轴/刀柄连接刚度、固有频率和阻尼比的影响及工具系统结构的薄弱位置等。
（3）建立了不平衡量砂轮轴系统的有限元模型，并在此模型基础上研究了砂轮轴系统的不平衡质量引起的砂轮、刀柄端面和刀柄锥面等各个部分的振动情况；研究了转速对砂轮轴系统振动量的影响；研究了砂轮系统的不平衡量值对工件质量的影响。
（4）从控制工程和计算力学的角度出发，设计了砂轮轴系统动平衡补偿装置。将动平衡校正前后砂轮轴系统的动平衡精度等级、振动值及加工工件表面粗糙度值进行了比较，得出了在不同的转速下，经过动平衡装置补偿后，砂轮轴系统振幅值大幅减小，砂轮轴的平衡精度等级高于补偿前；基于影响系数法对采用所设计的动平衡补偿装置的砂轮轴系统进行了单面和双面动快速动平衡，使得动平衡过程中配重补偿次数少于动平衡补偿前的次数，缩短了平衡时间，提高了生产效率，证明了设计的动平衡补偿装置对提高加工工件的表面粗糙度值及提高加工效率是有效、可行的。
（5）建立了高效精密磨床各子结构结合部等效动力学模型。通过频响函数试验识别了某高效精密磨床各子结构结合面间刚度、阻尼动力学参数值，并对各子结构之间连接方式为固定锥度接合部、滚动轴承结合部、滑动导轨结合部和螺栓结合部的各子结构进行数值计算，得出低阶固有频率和振型，并进一步通过试验测试结果修正模型边界条件，获得的结构动态特性数值计算结果与真实工况接近，为结构动态优化提供了依据。
（6）基于动态子结构法，将高效精密磨床结构及其连接方式按各部件功能及其不同的组合方式，划分为砂轮—主轴系统、头架—工件主轴系统、砂轮架、立柱、工作台、床身、砂轮架拖板和工作台拖板等子结构；通过试验模态方法识别的各子结构结合部间的刚度、阻尼等参数值，应用ANSYS有限元分析软件对精密磨床各子结构进行了动态特性分析；对整机进行了动态特性分析，进一步证明了各子结构仿真结果的准确性；对其结构设计的不足之处提出了改进方案。
The stab le grind ing is one of the precond itio n and the key techno logies ofsmoothly mac hining and getting high qua lity on grind ing mac hine. Grind ingprocess syste m is the unity o f grind ing mac hine, tool, c la mp a nd workp iece. Itsdyna mic property is fata l to steady grind ing. In this paper, based on the no nlineartheory, the no nlinear vibratio n on re latio ns hip a mong the vario us factors isstud ied.And so me meas ures are p ut forward to restra in the grind ing vibrationthro ugh the ana lys is o f the grind ing process. Dyna mic characteristics are stud ied ongrind ing wheel sp ind le a nd grind ing whee l in both free mode and working mode,thro ugh connecting the finite e le me nt method and experime nta l modal a na lys is.Based on unba la nce syste m, the vibratio n characteristic o f the spind le isana lyzed.A co mpensatio n device is des igned for the d yna mic ba la nc ing o f grind ingwhee l.Dyna mic characteristics of grind ing process syste m are ana lyzed sys te matic,based on dyna mic substructure technique. Thro ugh the theoretical a na lys is,experimenta l test a nd nume rica l co mputa tion method, so me impro ving projects areput forward.
Main research’s work inc ludes the fo llowing aspects:
(1) Nonlinear theory is stud ied on externa l cylindrica l grind ing, and thenonlinear vibratio n model o f grind ing process are establis hes. The influe nce ofparameters o f the angular freque nc y, the no nlinear damp ing a nd no nlinear stiffnessof interface between grind ing whee l a nd workpiece are stud ied, to put forwardmothods on the grind ing q ua lity o f increas ing damp ing and stiffness. Based onmulti-sca le method, quantitative ana lys is is researched on the ma in resonance, andthe nonlinear resona nce regio n o f grind ing process.It get c haracteristic equatio n onamp litude freque ncy o f the primary resona nce and no n-resona nce. It effective lyrevea ls the rule o f the nonlinearity of the grind ing process, to provide a theoreticalbasis for impro ving the processing qua lity.
(2) Based on the e lastic theory, us ing finite ele me nt a na lys is and e xperime nta lmoda l ana lys is method, the dyna mica l mode ls are constructed on thespind le/sp ind le s yste m in free state, and the working condition. The natura lfreq uenc y and vibra tion mode of the syste m are ca lcula ted. Ratio na lity o f the finiteele me nt mode l is vethrified b y experime nta l moda l a na lys is method, and furtherana lyzes the influence o f the grinder spind le speed to contact stress, axia l te ns ionforce, connectio n stiffness, natura l freque nc y and damp ing ratio o f the syste m structure, and weak pos itio n of structure tools, etc.
(3)The finite e le me nt model o f unba la nce spind le sys te m is established.Andthe vibratio n of each part on grind ing whee l spind le, the ha ndle end face and ha nd lecone are stud ied. The influe nce of vibratio n ma gnitude of the rotationa l speed inspind le syste m and the unba la nce va lue o f grind ing whee l syste m to the qua lity ofthe workpiece are stud ied.
(4) From the perspective o f contro l e ngineering a nd comp utationa l mec ha nics,the device o f adjus tive co mpensatio n of dyna mic ba lanc ing is designed on thespind le syste m. The precis io n grade of the dyna mic bala nc ing, vibratio n va lue andthe processing workp iece surface roughness are co mpared before and after dyna miccorrection sys te m, and get a co nc lus io n about the va lue of vibratory a mp litude isdecreased significa ntly a fter d yna mic bala nce.The ba lance o f sp ind le accuracygrade is higher tha n be fore the co mpensatio n. Based on the method of influe ncecoeffic ie nt, methods of fast dyna mic ba lanc ing of the s ingle a nd doub le side areapp lied on the grind ing whee l s yste m. Not only it s hortens the eq uilibrium times,but also imp roves the product ing effic ienc y. It proves that the design ofcompensatio n device of dyna mic bala nc ing for impro ving the va lue of workpiecesurface is e ffective and feasib le.
(5)Equiva le nt dyna mics model o f each substructure is set up on an effic ientinte gratio n of a prec is ion grind ing machine. By tests of freq uenc y responsefunction, va lues of stiffness and damp ing parameter are ide ntified. Numerica lcalc ulation is done to each substructure for joints of fixed taper, the rolling bearing,slid ing ra il, and bo lt, etc.There force, natura l freq uenc y and vibratio n model areobtained.
(6) Based on the method of d yna mic s ubstructure, a high precis io n grind ingmac hine structure is d ivided into d ifferent s ubstructures of grind ing whee l---spind le syste m, headstock---the workp iece spindle s yste m, grind ing whee l fra me,column, operating p latform, bed, dragging p late o f grind ing whee l a nd draggingplate o f operating p latform. The parameters s uc h as stiffness, da mp ing va luesbetween each substructure are ide ntified through experime nta l modal method.Dyna mic c haracteristics o f prec is ion grind ing machine o f each s ubstructure areana lyzed in the software of finite e le ment ana lys is. Thro ugh ana lys is o f dyna miccharacteristics o n who le the mac hine, the acc uracy o f the s imulatio n and res ults ofthe substructure are further proved.
主要的研究工作包括以下几个方面：
（1）针对外圆磨削加工领域的非线性理论进行了研究，建立了磨削过程中非线性振动模型，研究了砂轮与工件界面间的角频率、非线性阻尼和非线性刚度等参数对系统振动的影响，提出了保证磨削加工质量增加阻尼和增大刚度的方法。基于多尺度法，对磨削加工过程的共振区、非振区等的非线性振动性进行了定量分析，得到主共振和非主共振下的幅频率特性方程，有效地揭示了磨削过程的非线性规律，为磨削过程中提高加工质量的途径提供了理论依据。
（2）基于弹性理论，采用有限元分析和实验模态分析相结合的方法，构建了主轴/砂轮轴系统在自由状态、工况约束条件下的动力学模型，计算出系统的各阶固有频率和振型，通过实验模态分析方法验证了有限元模型的合理性，进一步分析了该磨床主轴转速对刀柄与主轴接触应力的影响，轴向拉紧力对主轴/刀柄连接刚度、固有频率和阻尼比的影响及工具系统结构的薄弱位置等。
（3）建立了不平衡量砂轮轴系统的有限元模型，并在此模型基础上研究了砂轮轴系统的不平衡质量引起的砂轮、刀柄端面和刀柄锥面等各个部分的振动情况；研究了转速对砂轮轴系统振动量的影响；研究了砂轮系统的不平衡量值对工件质量的影响。
（4）从控制工程和计算力学的角度出发，设计了砂轮轴系统动平衡补偿装置。将动平衡校正前后砂轮轴系统的动平衡精度等级、振动值及加工工件表面粗糙度值进行了比较，得出了在不同的转速下，经过动平衡装置补偿后，砂轮轴系统振幅值大幅减小，砂轮轴的平衡精度等级高于补偿前；基于影响系数法对采用所设计的动平衡补偿装置的砂轮轴系统进行了单面和双面动快速动平衡，使得动平衡过程中配重补偿次数少于动平衡补偿前的次数，缩短了平衡时间，提高了生产效率，证明了设计的动平衡补偿装置对提高加工工件的表面粗糙度值及提高加工效率是有效、可行的。
（5）建立了高效精密磨床各子结构结合部等效动力学模型。通过频响函数试验识别了某高效精密磨床各子结构结合面间刚度、阻尼动力学参数值，并对各子结构之间连接方式为固定锥度接合部、滚动轴承结合部、滑动导轨结合部和螺栓结合部的各子结构进行数值计算，得出低阶固有频率和振型，并进一步通过试验测试结果修正模型边界条件，获得的结构动态特性数值计算结果与真实工况接近，为结构动态优化提供了依据。
（6）基于动态子结构法，将高效精密磨床结构及其连接方式按各部件功能及其不同的组合方式，划分为砂轮—主轴系统、头架—工件主轴系统、砂轮架、立柱、工作台、床身、砂轮架拖板和工作台拖板等子结构；通过试验模态方法识别的各子结构结合部间的刚度、阻尼等参数值，应用ANSYS有限元分析软件对精密磨床各子结构进行了动态特性分析；对整机进行了动态特性分析，进一步证明了各子结构仿真结果的准确性；对其结构设计的不足之处提出了改进方案。
The stab le grind ing is one of the precond itio n and the key techno logies ofsmoothly mac hining and getting high qua lity on grind ing mac hine. Grind ingprocess syste m is the unity o f grind ing mac hine, tool, c la mp a nd workp iece. Itsdyna mic property is fata l to steady grind ing. In this paper, based on the no nlineartheory, the no nlinear vibratio n on re latio ns hip a mong the vario us factors isstud ied.And so me meas ures are p ut forward to restra in the grind ing vibrationthro ugh the ana lys is o f the grind ing process. Dyna mic characteristics are stud ied ongrind ing wheel sp ind le a nd grind ing whee l in both free mode and working mode,thro ugh connecting the finite e le me nt method and experime nta l modal a na lys is.Based on unba la nce syste m, the vibratio n characteristic o f the spind le isana lyzed.A co mpensatio n device is des igned for the d yna mic ba la nc ing o f grind ingwhee l.Dyna mic characteristics of grind ing process syste m are ana lyzed sys te matic,based on dyna mic substructure technique. Thro ugh the theoretical a na lys is,experimenta l test a nd nume rica l co mputa tion method, so me impro ving projects areput forward.
Main research’s work inc ludes the fo llowing aspects:
(1) Nonlinear theory is stud ied on externa l cylindrica l grind ing, and thenonlinear vibratio n model o f grind ing process are establis hes. The influe nce ofparameters o f the angular freque nc y, the no nlinear damp ing a nd no nlinear stiffnessof interface between grind ing whee l a nd workpiece are stud ied, to put forwardmothods on the grind ing q ua lity o f increas ing damp ing and stiffness. Based onmulti-sca le method, quantitative ana lys is is researched on the ma in resonance, andthe nonlinear resona nce regio n o f grind ing process.It get c haracteristic equatio n onamp litude freque ncy o f the primary resona nce and no n-resona nce. It effective lyrevea ls the rule o f the nonlinearity of the grind ing process, to provide a theoreticalbasis for impro ving the processing qua lity.
(2) Based on the e lastic theory, us ing finite ele me nt a na lys is and e xperime nta lmoda l ana lys is method, the dyna mica l mode ls are constructed on thespind le/sp ind le s yste m in free state, and the working condition. The natura lfreq uenc y and vibra tion mode of the syste m are ca lcula ted. Ratio na lity o f the finiteele me nt mode l is vethrified b y experime nta l moda l a na lys is method, and furtherana lyzes the influence o f the grinder spind le speed to contact stress, axia l te ns ionforce, connectio n stiffness, natura l freque nc y and damp ing ratio o f the syste m structure, and weak pos itio n of structure tools, etc.
(3)The finite e le me nt model o f unba la nce spind le sys te m is established.Andthe vibratio n of each part on grind ing whee l spind le, the ha ndle end face and ha nd lecone are stud ied. The influe nce of vibratio n ma gnitude of the rotationa l speed inspind le syste m and the unba la nce va lue o f grind ing whee l syste m to the qua lity ofthe workpiece are stud ied.
(4) From the perspective o f contro l e ngineering a nd comp utationa l mec ha nics,the device o f adjus tive co mpensatio n of dyna mic ba lanc ing is designed on thespind le syste m. The precis io n grade of the dyna mic bala nc ing, vibratio n va lue andthe processing workp iece surface roughness are co mpared before and after dyna miccorrection sys te m, and get a co nc lus io n about the va lue of vibratory a mp litude isdecreased significa ntly a fter d yna mic bala nce.The ba lance o f sp ind le accuracygrade is higher tha n be fore the co mpensatio n. Based on the method of influe ncecoeffic ie nt, methods of fast dyna mic ba lanc ing of the s ingle a nd doub le side areapp lied on the grind ing whee l s yste m. Not only it s hortens the eq uilibrium times,but also imp roves the product ing effic ienc y. It proves that the design ofcompensatio n device of dyna mic bala nc ing for impro ving the va lue of workpiecesurface is e ffective and feasib le.
(5)Equiva le nt dyna mics model o f each substructure is set up on an effic ientinte gratio n of a prec is ion grind ing machine. By tests of freq uenc y responsefunction, va lues of stiffness and damp ing parameter are ide ntified. Numerica lcalc ulation is done to each substructure for joints of fixed taper, the rolling bearing,slid ing ra il, and bo lt, etc.There force, natura l freq uenc y and vibratio n model areobtained.
(6) Based on the method of d yna mic s ubstructure, a high precis io n grind ingmac hine structure is d ivided into d ifferent s ubstructures of grind ing whee l---spind le syste m, headstock---the workp iece spindle s yste m, grind ing whee l fra me,column, operating p latform, bed, dragging p late o f grind ing whee l a nd draggingplate o f operating p latform. The parameters s uc h as stiffness, da mp ing va luesbetween each substructure are ide ntified through experime nta l modal method.Dyna mic c haracteristics o f prec is ion grind ing machine o f each s ubstructure areana lyzed in the software of finite e le ment ana lys is. Thro ugh ana lys is o f dyna miccharacteristics o n who le the mac hine, the acc uracy o f the s imulatio n and res ults ofthe substructure are further proved.
引文
[1]李伯民,赵波.现代磨削技术.北京:机械工业出版社,2003,1-70
[2] Malk in S著,蔡光起,巩亚东,宋贵亮译.磨削技术理论与应用.沈阳:东北大学出版社,2002,1-137
[3]周志雄,孙宗禹.2020年制造业挑战的展望.长沙:内部资料,1998,9-41
[4]王先逵.机械制造工艺学.北京:机械工业出版社,2000,1-9
[5]任敬心,华定安.磨削原理.西安:西北工业大学出版社,1988,1-91
[6]傅杰才.磨削原理与工艺.长沙:湖南大学出版社,1986,179-180
[7]师汉民.机械振动系统—分析、测试、建模、对策.武汉:华中科技大学出版,2004
[8] Alex E Z.Application of Jacobian elliptic functions to the analys is of thesteady-state solution o f the damped Duffing equation with driving force ofelliptic type. Nonlinear Dyna mics.2005(42):175-184
[9]王立刚.机床切削颤振的非线性振动研究.[天津大学硕士学位论文].天津:天津大学,2003.12
[10]闻邦椿,顾家柳,夏松波等主编.高等转子动力学—理论、技术与应用.北京,机械工业出版社,2000
[11]杨棣,唐恒龄,廖伯瑜.机床动力学.北京:机械工业出版社,1983:20-22
[12]周志雄,周秦源,任莹晖.复杂曲面加工技术的研究现状与发展趋势.机械工程学报.2010,46(17):105-113
[13]于思远.国内外先进陶瓷材料加工技术的进展.金刚石与磨料磨具工程,2001,(4):36-40
[14]吴云锋,陈洁.精密超精密加工技术综述.新技术新工艺,2007(6):38-40
[15]李立军,张飞虎,董申.非球面磨削加工设备现状与发展趋势.机床与液压,2007(7):229-236
[16]冯薇.精密与超精密磨削的发展现状.精密制造与自动化,2009(2):7-9
[17]康仁科,田业冰,郭东明等.大直径硅片超精密磨削技术的研究与应用现状.金刚石与磨料磨具工程,2003(8):13-18
[18]蔡光起,冯宝富,赵恒华.磨削技术的最新进展.世界制造技术与装备市场,2003(1):16-19
[19]袁哲俊,王选逵.精密和超精密加工技术.北京:机械工业出版社.2007:180-200
[20]杨福兴.非球面光学零件的超精密技术.机械工程师,1998,(6)
[21]秦树国.2007年中国机床市场.数控机床市场,2007(2):44-47
[22]宋淑梅.大口径轻质非球面反射镜制造技术研究.光学技术,2005,31(2):246-248
[23] H.Ohmori,T.Nakagawa. Mirror surface grinding o f silicon wa fers withelectrolytic in process dressing.CIRP Anna ls,1990,39(1):329-332
[24]袁哲俊.精密和超精密加工技术的新进展.工具技术,2006(3):3-9
[25]毛志敏,李蓓智.工程陶瓷材料的超精加工试验研究.金刚石与磨料磨具工程,2001,4(124):40-42
[26]韩正铜.磨削颤振与磨削表面形貌误差的研究.中国矿业大学出版社.2005.7-9
[27]闻邦春.工程非线性振动.北京:科学出版社,2007
[28]韩茂安,顾圣士.非线性系统的理论和方法.北京:科学出版社,2004
[29] Grey H, Fenwick D, Paden B. Stability of learning control with disturbancesand uncertain initia l conditions. IEEE Trans on Robotics and Automation,1995,11(3):432-441
[30] Amann N,Owens O H,Rogers E,Iterative learn ing control for dicrete-time systemwith exponentia l rate of convergence.IEEE Proc.Control Theory Appl.1996,143(2):217-221
[31] Wang Danwe i.A simple iterative learning control for ma nipulators with flexib lejoints.Auto matica,1995,31(9):1341-1344
[32] Francis zek Orynski,Wito ld Pawlowski.The influence of grind ing process onforced vibration damp ing in headstock of grinding wheel of cylindrica lgrinder.Internationa l Journa l of Machine Tools&Manufacture1999,(39):229-235
[33] P.Krajinik, J.Kopac, A.Sluga. Design of grind ing factors based on responsesurface methodology. Journa l of Materials Processing Techno logy2005,(21):629-636
[34]李鸿光,闻邦椿.一类具有可动边界的机械振动系统的混沌行为.东北大学学报(自然科学版),1999,20(4):376-378
[35]鲍文博,闻邦椿.一类强非线性振动系统的改进能量解析法.工程力学,2006,23(6):1-5
[36]李以农,郑玲,闻邦椿.一类具有参数慢变的非线性振动系统.重庆大学学报(自然科学版),2000,23(6):16-18
[37]罗跃纲,曾海泉,李振平等.具有高次项非线性振动系统的分岔与混沌分析.沈阳工业大学学报,2001,23(6):515-518
[38]罗跃纲,鲍文博,金志浩等.非线性刚度不平衡转子动力学行为研究.振动与冲击,2002,21(3):84-86
[39]黄涛,樊建平等.非线性弹簧汽车悬架系统的非线性振动机理研究和运动稳定性分析.中国机械工程,2007,18(15):1182-1185
[40]夏新涛.四自由度无心磨削振动系统的动态特性研究.精密制造与自动化,1995,1:54-57
[41]资嘉磊,黄红武,盛晓敏.超高速平面磨削振动特性试验研究.机械与电子,2006,11:10-12
[42]王汉英,张再实,徐锡林.转子平衡技术与平衡机.北京:机械工业出版社,1988.04
[43] Shimizu, Shill. Lee, Hwa Soo. Basic study on the development o f an auto maticbalancer for high-speed spindles used in machine tools.Nippon Kikai GakkaiRonbunshth C Hen/Transactions of the Japan Society of Mechanical Engineers.1990,7(56):1592-1596
[44] Vafaei,S.Rahnejat, H.Aini.R.Vibration monitoring of high speed spindles usingspectral ana lys is techniques.Internationa l Journal of Machine Tools andManufacture.2002,9(42):1223-1234
[45] M.I.Friswe ll, J.E.T.Penny. Damp ing ratio and natura l frequency bifurcations inrotating syste ms.Journa l of Sound and Vibration,2001,245(5):960-967
[46] Zhou S, Dyer S W, Shin K K. Exte nded influence coeffic ient method for rotoractive balanc ing during acceleratio n. Journal of Dyna mic Systems, Measurementand Control,2004,126(1):219-223
[47]王西彬,解丽静.超高速切削技术及其新进展.中国机械工程,2000,11(2):190-194
[48]魏志强,王先逵,杨志刚.高速加工机床及其关键技术.制造技术与机床,1998,(01):5-7
[49]张伯霖,黄晓明,李志英.高速加工中心及其应用.机电工程技术,2001,30(05):11-14,20
[50] Michael Va lenti, Strik ing the Proper Bala nce, Mechanical Engineering,1999,121(12):54-56
[51]管迪华.模态分析技术.北京:清华大学出版社,1996
[52]苏跃军.柔性转子动平衡及转子动力特性的研究.[东北大学硕士学位论文].沈阳:东北大学,2007.12
[53] E.L.Thearle. Dynamic balanc ing of rotating machinery in the fie ld.ASME Journa lof Applied Mechanics,1934,56:745-753
[54] J.G. Baker,Methods of rotor-unbalance determination,ASME Journa l ofAppliedMechanics,1939,61:A1-A6
[55] T.P.Goodman,A least-squares method for computing balance co rrections, ASMEJourna lof Engineering for Industry,1964,86:273-279
[56] J.M.Tessarzik,R.H.Badgley,and W.J.Anderson,Fle xible rotor balanc ing bytheexact point-speed influence coefficient method,ASME Journa l of Engineeringfor Industry,1972,Feb:148-158
[57] J.M.Tessarzik,R.H.Badgley,and D.P.Fle ming,Experime ntal evaluation ofmultiplane-multispeed rotor bala ncing through multip le criyical speed,ASMEJourna l ofEngineering for Industry,1976,Aug:988-998
[58] W.D.Pilkey and J.T.Bailey,Constrained balanc ing techniques for flex iblerotors,ASME Journa l of Mechanical Des ign,1979,101(2):304-308
[59] W.D.Pilkey,J.T.Bailey,and P.D.Smith,Acomputationa l technique foroptimizingcorrection weights and axial location of balance planes of rotatingshafts,ASME Journal ofVibration,Acoustics,Stress,and Reliability in Design,1983,105,Jan:90-93
[60] M.S.Darlow,Balanc ing of High-Speed Machinery,Springer-Verla g,New York
[61]顾晃,杨建明.减少转子动平衡启机次数的优化方法.电力技术,1985,(4):38-47
[62]朱闯,朱继海.转子动平衡识别中的数据处理方法.全国首届转子动力学学术会议,1986,10
[63]邓理博,程礼,李全通等.转子动平衡影响系数法改进.机械科学与技术,2007,26(5):631-634
[64]刘荣强,夏松波.大型机组柔性转子的影响系数余量平衡法.全国第三届转子动力学会议,青岛,1992:23-32
[65]张耀荣.用逐步迫近修正影响系数法进行挠性转子的转子平衡.山东机械,1984(2)
[66] Xu Bingang,Qu Lia ngs heng,Sun Ruixia ng,Ba lanc ing of flexib le rotors withouttestweights,Journal of Xi’an Jiaotong University,2000,34(7):63-67
[67] Xu B,Qu L,Sun R.The optimization technique-based balanc ing of flexiblerotors withouttest runs,AIAA Journal,2000,238(5):877-892
[68]邓旺群.航空发动机柔性转子动力特性及高速动平衡试验研究.[南京航空航天大学博士学位论文].南京:南京航空航天大学,2006.11
[69]廖伯瑜,周新民,尹志宏.现代机械动力学及其工程应用.北京:机械工业出版社,2004:278-300
[70]杨棣,唐恒玲,廖伯瑜.机床动力学.北京:机械工业出版社,1983
[71]王文亮,杜作润.结构振动与动态子结构方法.上海:复旦大学出版社,1985
[72]熊万里,钟国富,纪宗辉.高速精密机床系统动力学的研究进展.制造技术与机床,2009,9:35-39
[73]廖伯瑜.现代机械动力学及其工程应用.北京:机械工业出版社,2003:65-68
[74]张广鹏,史文浩,黄玉美等.机床整机动态特性的预测解析建模方法.上海交通大学学报,2001,35(12):1834-1837
[75]赵宏林,张文河,盛伯浩等.机床整机综合特性的预测.制造技术与机床,1998,47(3):12-14
[76] Jiang T and Chirehdast M. A System approach to structural topologyoptimizatio n: designing optima l connections.Journal of Mechanical Design,1997,(119):40-46
[77]周德廉,陈新.高精度内圆磨床整机动力学建模及优化设计.东南大学学报,2001,31(2):35-38
[78] Zatarain M,lejardi E,Eganna F.Modular sysnthesis of machine tools.Annals ofthe CIRP,1998,47(1):333-336
[79] Yeh T P and Vance J.M. Applying virtual reality technique to sensitivity-basedstructural shape design. Journa l of Mechanica l Design,1998,120:612-619
[80]陈卫福,孙建光,范晋伟等.模态力法用于机床结构系统动态分析的研究.北京工业大学学报,2000,26(1):53-57
[81] Elbestawi M A.Development of a novel modular and agile face machiningtechno logy.Anna ls of the CIRP,2002,51(1):307-314
[82]田延蛉,张大卫,陈华伟等.基于微定位工作台的精密磨削过程动力学建模与误差补偿技术.机械工程学报,2005,36(4):1648-1652
[83]吴剑锋,张钢,杨新洲.机床磁悬浮导轨的动态特性分析.机械科学与技术,2004,(9):111-113
[84]赵永生,郑魁敬,施毅.5-UPS/PRPU五自由度并联机床动力学建模.机械设计与研究,2004,(3):69-94
[85]徐礼钜,范守文,李辉.基于并行计算的新型并联机床动力学解析模型.机械工程学报,2004,(4):890-894
[86]郭祖华,陈五一,陈鼎昌.基于全局动力学性能的并联机床结构参数优化.中国机械工程,2003,14(1):861-864
[87]赵兴玉,黄田,赵学满.一类并联机床整机结构动力学建模方法研究.振动工程学报,2003,16(3):295-301
[88]毛海军.新一代数控内圆磨床的动力学建模与优化.[东南大学博士学位论文],南京:东南大学,2001.8
[89]盂祥志,蔡光起,胡明等.三杆混联数控机床的动力学.机械工程学报,2006,(6):1456-1462
[90]付铁,丁洪生,荣辉,庞思勤. BKX-I型变轴数控机床的有限元模态分析.机械设计与研究,2005,(4):65-70
[91]李鹭扬,吴洪涛,朱剑英. Gough-Stewart平台高效动力学建模研究.机械科学与技术,2005,16(17):901-905
[92]曹定胜,王学林,张宏志.高速加工中心有限元计算模型与试验验证.振动与冲击,2006,(3):352-356
[93] Yoshimura M.Computer Aided design improve ment of machine tool structureincorporating jo int dyna mics data.anna ls of the CIRP,1979,28:241-246
[94]毛海军,孙庆鸿,陈南.基于子结构阻抗匹配与优化拟合的高精度磨床整机动力学建模研究.中国机械工程,2002,13(5):376-378
[95]星铁太郎.机械加工振动分析.师汉民译.武汉:华中理工大学出版社,1993
[96]张广鹏,史文浩,黄玉美等.机床整机动态特性的预测解析建模方法.上海交通大学学报,2001,35(12):1834-1837
[97]张建润,卢熹,孙庆鸿等.五坐标数控龙门加工中心动态优化设计.中国机械工程,2005,(21):1356-1360
[98]吴筱坚.机床固定结合面的一种建模方法.机械科学与技术,2002,(3):12-14
[99]廖伯瑜,周新民,尹志宏.现代机械动力学及其工程应用—建模、分析、仿真、修改、控制、优化.北京:机械工业出版社,2004:278-300
[100]毛海军,孙庆鸿,陈南.基于子结构阻抗匹配与优化拟合的高精度磨床整机动力学建模研究.中国机械工程,2002,13(5):376-378
[101]陈新,孙庆鸿,海军等.基于接触单元的磨床螺栓连接面有限元建模与模型修正.中国机械工程,2001,12(5):524-526
[102]杨棣,唐恒龄,廖伯瑜.机床动力学(130,周新民,尹志宏.现代机械动力学及其工程应用—建模、分析、仿真、修改、控制、优化.北京:机械工业出版社,2004:278-300
[103]毛海军,孙庆鸿,陈南.基于子结构阻抗匹配与优化拟合的高精度磨床整机动力学建模研究.中国机械工程,2002,13(5):376-378
[104]陈新,孙庆鸿,海军等.基于接触单元的磨床螺栓连接面有限元建模与模型修正.中国机械工程,2001,12(5):524-526
[105]杨棣,唐恒龄,廖伯瑜.机床动力学(130).北京:机械工业出版社,1983:381-389
[106]陈新,孙庆鸿,毛海军等.基于接触单元的磨床螺栓连接面有限元建模与模型修正.中国机械工程,2001,13(5):1898-1904
[107]张广鹏,史文浩,黄玉美.机床导轨结合部的动态特性解析方法及其应用.机械工程学报,2002,(10):1686-1690
[108]张琪昌,任爱娣,刘海英.多尺度法的设解形式之探讨.非线性动力学学报,2004,11(1):66-73
[109]王世军,黄玉美,赵金娟等.机床导轨结合部的有限元模型.中国机械工程,2004,15(18):1634-1636
[110] Dwivedy S K,Kar R C.Nonlinear response of a parametrically exc ited systemusing higher-order method of multiple scales.Nonlinear Dyna mics,1999,20:115-130
[111] P.F.Rogers,G.Boothroyd. Damp ing at metallic interfaces subjected to oscillatingtangentia l loads.Journa l of Engineerning for Industry, Trans. ASME,1975(6):1087-1093
[112]吉村允孝著,陶志范译.采用接合面动态数据的计算机辅助设计来改善机床的结构刚性.机床.1979(1)
[113]贺兵.超高速平面磨床结构动态特性的研究与结构优化.[湖南大学硕士学位论文].长沙:湖南大学.2004:12-13
[114]童忠钫,张杰.加工中心立柱床身结合面动态特性研究及参数识别.振动与冲击,1992(3):66-69
[115] Lakrad F,Belhaq M.Periodic solutions of strongly nonlinear oscillators by themultiple sca les method.Joural of Sound and Vibration,2002,258(4):677-700
[116]毛宽民、叶俊、李斌.基于PATRAN的机床结构快速动力学建模系统的开发.中国机械工程,2008,19(5):1144-1148
[117]韩正铜.磨削颤振与磨削表面形貌误差的研究.[中国矿业大学博士学位论文].北京:中国矿业大学.2002.6
[118]刘延柱,陈立群.非线性振动.北京:高等教育出版社,2001
[119]杨高伟. M1432A型万能外圆磨床磨削振动及机构动力学研究.[郑州大学硕士学位论文].郑州:郑州大学,2011.6
[120]李月,杨宝俊.混沌振子检测引论.北京:电子工业出版社,2004
[121]陈章燕.磨削力的试验研究.北京工业大学学报,1990,12:98-105
[122] Amo ld V I. Geometrica l methods in the theory of ordinary diferentia l equations.New York: Springer—Verlag, Berlin: Heidelberg Tokyo,1983.
[123] Bar A. Parametric excite ment vibration in tandem mills mathe matica l model andits analys is. Journa l of Materia lsProcessing Technolo gy,2002.129(1):148-151
[124]朱才朝,王鸿恩.4200厚板轧机机座垂直方向振动的研究.重庆大学学报,1993, l6(6):51-57
[125]陈勇辉,史铁林,杨叔子.四辊冷带轧机非线性振动的探究.机械工程学报.2003,39(4):56-60
[126] Nayfeh A H and Mook D T.Nonlinear Oscillations.John Wile y&Sons,1979
[127]李月,杨宝俊.混沌振子检测引论.北京:电子工业出版,2004
[128] Younes M A, Shahtout M, Damir M N. A parameters design approach to improveproduct quality and equip ment perform—a lice in hot rolling. Journa l of MaterialsProcessing Techno logy,2006,171:83-92
[129] Swiatoniowski A, Bar A. Parametrical exc iteme nt vibration in tandemmills—mathematical model and its ana lys is. Journal o f Materials ProcessingTechnology,2003,134:214-224
[130] Tamiya T, Fund K, Iida H, et al. Ana lys is of chattering phenome non in coldmHing. Proceedings o f the Internationa l Conference on stee l Rolling, Tokyo,Japan,1980,2:1191-1202
[131]郝柏林.从抛物线谈起:混沌动力学引论.上海:上海科技教育出版社,1993
[132]闻邦春.工程非线性振动.北京:科学出版社,2007
[133]曹树谦.振动结构模态分析一理论、实验与应用.天津:天津大学出版社,2001
[134]屈维德,唐恒龄.机械振动手册.北京:机械工业出版社,2000
[135]李沪曾, GSPur,郭大津.机床振动学研究的历史回顾与展望.同济大学学报,1994,22(3):378-384
[136]傅志方,华宏星.模态分析理论与应用.上海:上海交通大学出版社,2002
[137]沃德.海伦斯蒂芬,拉门兹波尔.萨斯著,白化同、郭继忠译.模态分析理论与试验.北京:北京理工大学出版社,2001
[138]张文志.机械结构有限元分析.哈尔滨工业大学出版社,2006
[139]廖伯瑜,周新民,尹志宏.现代机械动力学及其工程应用.北京:机械工业出版社,2004,232-300
[140]温熙森.机械系统建模与动态分析.北京:科学出版社,2004
[141]张新玉,张文平,李全等.圆柱形薄壳结构的试验模态分析方法研究.哈尔滨工程大学学报,2006,27(1):20-25
[142]陈锋,陈小安,孟杰.高速电主轴的工作模态试验分析.现代制造工程.2008,(8):1-3
[143]郑金兴,张铭钧,孟庆鑫.试验模态技术在机床结构动态特性研究中的应用.测控技术,2007,26(12):28-31
[144] Yuzhong,Cao,Y.Altintas.Modeling o f spindle-bearing and machine tool syste msfor virtual simulation of milling operations.Internatio nal Journa l of MachineTools&Manufacture,2007,47:1342-1350
[145] Adam G.Reho m,Jin jiang,Peter E.Orban,Evgueni Bordatchev.Modeling andexperime ntal investigation of spind le and cutter dynamics for a high-precisio nmachining ceter.Internationa l Journa l Manufacturing Technology,2004,24:806-815
[146] Matti Rantatalo,Jan Olo v Aidanpaa,Bo Goransson,Peter Norman.Millingmachine spind le analys is us ing FEM and non-contact spind le exc itation andresponse measureme nt.Internatio nal Journa l of Machine Tools&Manufacture,2007,47:1034-1045
[147] Chi-Wei Lin,Jay F.Tu.Model-Based Design of Motorized Spind le Systems toImprove Dynamic Performa nce at High Speeds.Journa l of ManufacturingProccesses.2007,9(2):94-108
[148] M.I.Friswe ll,J.E.Penny. Da mping ratio and natura l frequency bifurcations inrotationing syste ms.Journa l of sound and Vibration,2001,245(5):379-382
[149] Vafaei,S.Rahne igat.Vibration monitoring o f high speed spindles us ing spectralanalys is techniques.Internationa l Journa l of Machine Tools and Manufacture.V42,N11,Sepember2002,Elseviser Science Ltd.
[150] J.S.Wu,D.W.Chen, Dyna mic analys is of a uniform cantilever beam carrying anumber of elastically mounted point masses with da mper. J.Sound Vib.2000,229(3):549-578
[151] Ueno,Shiqeru, Trend of machine tool performa nce eva lution.transatio ns of theJapan Society of Mechanica l Engineers,Part C,2005:1416-1420
[152] Simo n S.park,Yusuf Altintas,Movahhedy M.Receptance coupling for endmills.International Journal o f Mahchine Tools and Manufacture,2003,43(9):889-896
[153] Park S S.Indenfification of spindle integrated force sensor’s transfer function formodular end mills.Journal o f Manufacturing Scie nce and Engineering,Transactions of the ASME,2006,128(1):146-153
[154]李光辉,冯平法. HSK刀柄与主轴联结性能的有限元分析.工具技术,2005,39(9):27-30
[155]张松,艾兴,赵军.高速主轴/刀具联结的参数化有限元法优化设计.机械工程学报.2004,40(2):83-86
[156]张松,艾兴. HSK主轴/刀具联结的有限元分析.机械科学与技术,2004,23(6):631-633
[157] Kushnir,Emmanuil.Optimization of Machine Tool Structures Based on Static andDyna mic Criteria.Amercian Society of Mechanical Enginee rs,Recent Advancesin Soilds and Structures,2002:201-206
[158] Shih.C.J,Yu.K.C.Weighting obiectives strategy in multicriterion fuzzymechanical and structura l optimization.Structura l Engineering and Mechanics.1995,3(4):373-382
[159] T.Ren.Using genetic algorithms and fuzzy control for spind le of CNC machinetool.Internationa l Conference on Intelligent Mechatronics and Auto mation,2004
[160] Jia-Jang Wu.Free vibratio n analysis of beams carrying a number of two-degree-of-freedom spring-damper-mass systems,Finite Elements in Ana lys is andDesign,2004,40:363-381
[161] M.Alberti,J.Ciurana,M.Casadesus.A system for optimizing cutting parameterswhen planning milling operations in high-speed machining.Journa l of Materia lsProcessing Technolo gy,168(2005):25-35
[162] Y.I.Friswe ll,J.E.Penny.Damp ing ratio and natural frequency bifurcations inrotating syste ms.Journa l of Sound and Vibration,2001,245(5):379-382
[163] B.R.Jorensen,Y.C.Shin.Dyna mic of spind le-bearing syste ms at high speedsincluding cutting load effects.Journal of Manufacturing Science andengineering,1998,120:551-556
[164] Y.kang,Y.P.Chang,J.W.Tsai,S.C.Chen,L.K.Yang.Integrated”CAE”strategies ofthe design of machine tool spindle-bearing systems.Finite Ele ments in Analys isand Design,2001,37:485-511
[165] Y.Zhang,B.McCla in,X.D.Fang.Design of interference fits via finite eleme ntmethod.Internationa l Journa l of Mechanical Sciences,2000,42:1835-1850
[166] Bahattin Kanber.Boundary Eleme nt Ana lys is of Interference Fits.Turkish J.Eng.Env.Sci.2006(30):323-330
[167] Adna Oze l,Semsettin Te miz.Stress analys is of shrink-fitted joints for vario us fitforms via finite eleme nt method.Ava ilable online at www.sciencedirct.com,Materia ls and Design,2005(26):281-289
[168] Euge ne I,Rivin.Tooling Structure: Interface between Cutting Edge and MachineTool. Anna ls of the CIRP. Vol.49/2(2000):591-632
[169] Zeilinger,James. Balanced toolhold ing for high-speed machining. ModernMachine Shop.1989,10(62):80-86
[170] Schulz,H.Balanc ing requireme nts for fast rotating tools and spind le system.CIRP.Annals,Manufacturing Techno logy.1998,47(1):321-324
[171]沈春根.高速加工工具系统的动力学特性及应用基础研究.[江苏大学博士学位论文].镇江:江苏大学,2011.6
[172]缪红燕,高金吉,徐鸿.转子系统瞬态不平衡响应的有限元分析.振动与冲击.2004,23(3):1-4
[173]张鹏鹰,陈兵,曹跃云等.模拟转子不平衡响应数值分析及实验研究.海军工程大学学报.2008,20(l):12-15
[174]阮金彪,刘树春,刘荣强等.柔性转子不平衡响应与传递力的分析.哈尔滨工业大学学报,1995,27(6):117-120
[175]杨建刚.旋转机械振动分析与工程应用.北京:中国电力出版社,2007:38-42
[176]沈伟.旋转机械主动平衡技术及工程应用研究.[北京化工大学博士学位论文].北京:北京化工大学,2006,(11):55-60
[177] C.F.Beads.Damping in struetural joints.The Shoek and Vibration Digest,1985,52(6):21-23
[178] M.Burdekin, N.Baek, A.Cowle y.Analys is of the local deformation in machinejoints.Mech.Eng.Sci,1979,34(3):15-17
[179]赵经文,王宏饪.结构有限元分析.哈尔滨:哈尔滨工业大学出版社,1998
[180] Beads C F. Damp ing in structural joints.The Shock and Vibration Digest.1982(6):563-570
[181]陈新,刘泽民,罗鸿等.基于试验模态参数的结构多层结合部特征特征参数识别.试验力学,1995,(2):172-180
[182]刘晓平,徐燕申,宋健伟等.机械结构结合部阻尼特征参数识别的研究.振动与冲击,1995,(3):61-65
[183]洪钟瑜,周谦.复杂结构连接刚度的优化识别技术.振动与冲击,1994,(l):54-59
[184]廖伯瑜,周新民,尹志宏.现代机械动力学及其工程应用.机械工业出版社,2004:266-267
[185] Agaplou J S.A methodolo gy to measure joint stiffness parameters fortoolholder-spind le interfaces.Journal o f Manufacturing Systems,2005,24:244-250
[186] Grobel.I.P.Balanc ing turbine-generator rotors.General Electric Review,1953,56(4):22
[187] Bis hop R E D.The vibration of rotating sha fts.Journa l of Mechanical EngineeringScience,1959,1(1):50
[188] Goodman T P.A Least-squares method of computing balance corrections.Journa lof Engineering for Industry,1964,(8):273-277
[189]王文亮,杜作润.结构振动与动态子结构方法.上海:复旦大学出版社,1985
[2] Malk in S著,蔡光起,巩亚东,宋贵亮译.磨削技术理论与应用.沈阳:东北大学出版社,2002,1-137
[3]周志雄,孙宗禹.2020年制造业挑战的展望.长沙:内部资料,1998,9-41
[4]王先逵.机械制造工艺学.北京:机械工业出版社,2000,1-9
[5]任敬心,华定安.磨削原理.西安:西北工业大学出版社,1988,1-91
[6]傅杰才.磨削原理与工艺.长沙:湖南大学出版社,1986,179-180
[7]师汉民.机械振动系统—分析、测试、建模、对策.武汉:华中科技大学出版,2004
[8] Alex E Z.Application of Jacobian elliptic functions to the analys is of thesteady-state solution o f the damped Duffing equation with driving force ofelliptic type. Nonlinear Dyna mics.2005(42):175-184
[9]王立刚.机床切削颤振的非线性振动研究.[天津大学硕士学位论文].天津:天津大学,2003.12
[10]闻邦椿,顾家柳,夏松波等主编.高等转子动力学—理论、技术与应用.北京,机械工业出版社,2000
[11]杨棣,唐恒龄,廖伯瑜.机床动力学.北京:机械工业出版社,1983:20-22
[12]周志雄,周秦源,任莹晖.复杂曲面加工技术的研究现状与发展趋势.机械工程学报.2010,46(17):105-113
[13]于思远.国内外先进陶瓷材料加工技术的进展.金刚石与磨料磨具工程,2001,(4):36-40
[14]吴云锋,陈洁.精密超精密加工技术综述.新技术新工艺,2007(6):38-40
[15]李立军,张飞虎,董申.非球面磨削加工设备现状与发展趋势.机床与液压,2007(7):229-236
[16]冯薇.精密与超精密磨削的发展现状.精密制造与自动化,2009(2):7-9
[17]康仁科,田业冰,郭东明等.大直径硅片超精密磨削技术的研究与应用现状.金刚石与磨料磨具工程,2003(8):13-18
[18]蔡光起,冯宝富,赵恒华.磨削技术的最新进展.世界制造技术与装备市场,2003(1):16-19
[19]袁哲俊,王选逵.精密和超精密加工技术.北京:机械工业出版社.2007:180-200
[20]杨福兴.非球面光学零件的超精密技术.机械工程师,1998,(6)
[21]秦树国.2007年中国机床市场.数控机床市场,2007(2):44-47
[22]宋淑梅.大口径轻质非球面反射镜制造技术研究.光学技术,2005,31(2):246-248
[23] H.Ohmori,T.Nakagawa. Mirror surface grinding o f silicon wa fers withelectrolytic in process dressing.CIRP Anna ls,1990,39(1):329-332
[24]袁哲俊.精密和超精密加工技术的新进展.工具技术,2006(3):3-9
[25]毛志敏,李蓓智.工程陶瓷材料的超精加工试验研究.金刚石与磨料磨具工程,2001,4(124):40-42
[26]韩正铜.磨削颤振与磨削表面形貌误差的研究.中国矿业大学出版社.2005.7-9
[27]闻邦春.工程非线性振动.北京:科学出版社,2007
[28]韩茂安,顾圣士.非线性系统的理论和方法.北京:科学出版社,2004
[29] Grey H, Fenwick D, Paden B. Stability of learning control with disturbancesand uncertain initia l conditions. IEEE Trans on Robotics and Automation,1995,11(3):432-441
[30] Amann N,Owens O H,Rogers E,Iterative learn ing control for dicrete-time systemwith exponentia l rate of convergence.IEEE Proc.Control Theory Appl.1996,143(2):217-221
[31] Wang Danwe i.A simple iterative learning control for ma nipulators with flexib lejoints.Auto matica,1995,31(9):1341-1344
[32] Francis zek Orynski,Wito ld Pawlowski.The influence of grind ing process onforced vibration damp ing in headstock of grinding wheel of cylindrica lgrinder.Internationa l Journa l of Machine Tools&Manufacture1999,(39):229-235
[33] P.Krajinik, J.Kopac, A.Sluga. Design of grind ing factors based on responsesurface methodology. Journa l of Materials Processing Techno logy2005,(21):629-636
[34]李鸿光,闻邦椿.一类具有可动边界的机械振动系统的混沌行为.东北大学学报(自然科学版),1999,20(4):376-378
[35]鲍文博,闻邦椿.一类强非线性振动系统的改进能量解析法.工程力学,2006,23(6):1-5
[36]李以农,郑玲,闻邦椿.一类具有参数慢变的非线性振动系统.重庆大学学报(自然科学版),2000,23(6):16-18
[37]罗跃纲,曾海泉,李振平等.具有高次项非线性振动系统的分岔与混沌分析.沈阳工业大学学报,2001,23(6):515-518
[38]罗跃纲,鲍文博,金志浩等.非线性刚度不平衡转子动力学行为研究.振动与冲击,2002,21(3):84-86
[39]黄涛,樊建平等.非线性弹簧汽车悬架系统的非线性振动机理研究和运动稳定性分析.中国机械工程,2007,18(15):1182-1185
[40]夏新涛.四自由度无心磨削振动系统的动态特性研究.精密制造与自动化,1995,1:54-57
[41]资嘉磊,黄红武,盛晓敏.超高速平面磨削振动特性试验研究.机械与电子,2006,11:10-12
[42]王汉英,张再实,徐锡林.转子平衡技术与平衡机.北京:机械工业出版社,1988.04
[43] Shimizu, Shill. Lee, Hwa Soo. Basic study on the development o f an auto maticbalancer for high-speed spindles used in machine tools.Nippon Kikai GakkaiRonbunshth C Hen/Transactions of the Japan Society of Mechanical Engineers.1990,7(56):1592-1596
[44] Vafaei,S.Rahnejat, H.Aini.R.Vibration monitoring of high speed spindles usingspectral ana lys is techniques.Internationa l Journal of Machine Tools andManufacture.2002,9(42):1223-1234
[45] M.I.Friswe ll, J.E.T.Penny. Damp ing ratio and natura l frequency bifurcations inrotating syste ms.Journa l of Sound and Vibration,2001,245(5):960-967
[46] Zhou S, Dyer S W, Shin K K. Exte nded influence coeffic ient method for rotoractive balanc ing during acceleratio n. Journal of Dyna mic Systems, Measurementand Control,2004,126(1):219-223
[47]王西彬,解丽静.超高速切削技术及其新进展.中国机械工程,2000,11(2):190-194
[48]魏志强,王先逵,杨志刚.高速加工机床及其关键技术.制造技术与机床,1998,(01):5-7
[49]张伯霖,黄晓明,李志英.高速加工中心及其应用.机电工程技术,2001,30(05):11-14,20
[50] Michael Va lenti, Strik ing the Proper Bala nce, Mechanical Engineering,1999,121(12):54-56
[51]管迪华.模态分析技术.北京:清华大学出版社,1996
[52]苏跃军.柔性转子动平衡及转子动力特性的研究.[东北大学硕士学位论文].沈阳:东北大学,2007.12
[53] E.L.Thearle. Dynamic balanc ing of rotating machinery in the fie ld.ASME Journa lof Applied Mechanics,1934,56:745-753
[54] J.G. Baker,Methods of rotor-unbalance determination,ASME Journa l ofAppliedMechanics,1939,61:A1-A6
[55] T.P.Goodman,A least-squares method for computing balance co rrections, ASMEJourna lof Engineering for Industry,1964,86:273-279
[56] J.M.Tessarzik,R.H.Badgley,and W.J.Anderson,Fle xible rotor balanc ing bytheexact point-speed influence coefficient method,ASME Journa l of Engineeringfor Industry,1972,Feb:148-158
[57] J.M.Tessarzik,R.H.Badgley,and D.P.Fle ming,Experime ntal evaluation ofmultiplane-multispeed rotor bala ncing through multip le criyical speed,ASMEJourna l ofEngineering for Industry,1976,Aug:988-998
[58] W.D.Pilkey and J.T.Bailey,Constrained balanc ing techniques for flex iblerotors,ASME Journa l of Mechanical Des ign,1979,101(2):304-308
[59] W.D.Pilkey,J.T.Bailey,and P.D.Smith,Acomputationa l technique foroptimizingcorrection weights and axial location of balance planes of rotatingshafts,ASME Journal ofVibration,Acoustics,Stress,and Reliability in Design,1983,105,Jan:90-93
[60] M.S.Darlow,Balanc ing of High-Speed Machinery,Springer-Verla g,New York
[61]顾晃,杨建明.减少转子动平衡启机次数的优化方法.电力技术,1985,(4):38-47
[62]朱闯,朱继海.转子动平衡识别中的数据处理方法.全国首届转子动力学学术会议,1986,10
[63]邓理博,程礼,李全通等.转子动平衡影响系数法改进.机械科学与技术,2007,26(5):631-634
[64]刘荣强,夏松波.大型机组柔性转子的影响系数余量平衡法.全国第三届转子动力学会议,青岛,1992:23-32
[65]张耀荣.用逐步迫近修正影响系数法进行挠性转子的转子平衡.山东机械,1984(2)
[66] Xu Bingang,Qu Lia ngs heng,Sun Ruixia ng,Ba lanc ing of flexib le rotors withouttestweights,Journal of Xi’an Jiaotong University,2000,34(7):63-67
[67] Xu B,Qu L,Sun R.The optimization technique-based balanc ing of flexiblerotors withouttest runs,AIAA Journal,2000,238(5):877-892
[68]邓旺群.航空发动机柔性转子动力特性及高速动平衡试验研究.[南京航空航天大学博士学位论文].南京:南京航空航天大学,2006.11
[69]廖伯瑜,周新民,尹志宏.现代机械动力学及其工程应用.北京:机械工业出版社,2004:278-300
[70]杨棣,唐恒玲,廖伯瑜.机床动力学.北京:机械工业出版社,1983
[71]王文亮,杜作润.结构振动与动态子结构方法.上海:复旦大学出版社,1985
[72]熊万里,钟国富,纪宗辉.高速精密机床系统动力学的研究进展.制造技术与机床,2009,9:35-39
[73]廖伯瑜.现代机械动力学及其工程应用.北京:机械工业出版社,2003:65-68
[74]张广鹏,史文浩,黄玉美等.机床整机动态特性的预测解析建模方法.上海交通大学学报,2001,35(12):1834-1837
[75]赵宏林,张文河,盛伯浩等.机床整机综合特性的预测.制造技术与机床,1998,47(3):12-14
[76] Jiang T and Chirehdast M. A System approach to structural topologyoptimizatio n: designing optima l connections.Journal of Mechanical Design,1997,(119):40-46
[77]周德廉,陈新.高精度内圆磨床整机动力学建模及优化设计.东南大学学报,2001,31(2):35-38
[78] Zatarain M,lejardi E,Eganna F.Modular sysnthesis of machine tools.Annals ofthe CIRP,1998,47(1):333-336
[79] Yeh T P and Vance J.M. Applying virtual reality technique to sensitivity-basedstructural shape design. Journa l of Mechanica l Design,1998,120:612-619
[80]陈卫福,孙建光,范晋伟等.模态力法用于机床结构系统动态分析的研究.北京工业大学学报,2000,26(1):53-57
[81] Elbestawi M A.Development of a novel modular and agile face machiningtechno logy.Anna ls of the CIRP,2002,51(1):307-314
[82]田延蛉,张大卫,陈华伟等.基于微定位工作台的精密磨削过程动力学建模与误差补偿技术.机械工程学报,2005,36(4):1648-1652
[83]吴剑锋,张钢,杨新洲.机床磁悬浮导轨的动态特性分析.机械科学与技术,2004,(9):111-113
[84]赵永生,郑魁敬,施毅.5-UPS/PRPU五自由度并联机床动力学建模.机械设计与研究,2004,(3):69-94
[85]徐礼钜,范守文,李辉.基于并行计算的新型并联机床动力学解析模型.机械工程学报,2004,(4):890-894
[86]郭祖华,陈五一,陈鼎昌.基于全局动力学性能的并联机床结构参数优化.中国机械工程,2003,14(1):861-864
[87]赵兴玉,黄田,赵学满.一类并联机床整机结构动力学建模方法研究.振动工程学报,2003,16(3):295-301
[88]毛海军.新一代数控内圆磨床的动力学建模与优化.[东南大学博士学位论文],南京:东南大学,2001.8
[89]盂祥志,蔡光起,胡明等.三杆混联数控机床的动力学.机械工程学报,2006,(6):1456-1462
[90]付铁,丁洪生,荣辉,庞思勤. BKX-I型变轴数控机床的有限元模态分析.机械设计与研究,2005,(4):65-70
[91]李鹭扬,吴洪涛,朱剑英. Gough-Stewart平台高效动力学建模研究.机械科学与技术,2005,16(17):901-905
[92]曹定胜,王学林,张宏志.高速加工中心有限元计算模型与试验验证.振动与冲击,2006,(3):352-356
[93] Yoshimura M.Computer Aided design improve ment of machine tool structureincorporating jo int dyna mics data.anna ls of the CIRP,1979,28:241-246
[94]毛海军,孙庆鸿,陈南.基于子结构阻抗匹配与优化拟合的高精度磨床整机动力学建模研究.中国机械工程,2002,13(5):376-378
[95]星铁太郎.机械加工振动分析.师汉民译.武汉:华中理工大学出版社,1993
[96]张广鹏,史文浩,黄玉美等.机床整机动态特性的预测解析建模方法.上海交通大学学报,2001,35(12):1834-1837
[97]张建润,卢熹,孙庆鸿等.五坐标数控龙门加工中心动态优化设计.中国机械工程,2005,(21):1356-1360
[98]吴筱坚.机床固定结合面的一种建模方法.机械科学与技术,2002,(3):12-14
[99]廖伯瑜,周新民,尹志宏.现代机械动力学及其工程应用—建模、分析、仿真、修改、控制、优化.北京:机械工业出版社,2004:278-300
[100]毛海军,孙庆鸿,陈南.基于子结构阻抗匹配与优化拟合的高精度磨床整机动力学建模研究.中国机械工程,2002,13(5):376-378
[101]陈新,孙庆鸿,海军等.基于接触单元的磨床螺栓连接面有限元建模与模型修正.中国机械工程,2001,12(5):524-526
[102]杨棣,唐恒龄,廖伯瑜.机床动力学(130,周新民,尹志宏.现代机械动力学及其工程应用—建模、分析、仿真、修改、控制、优化.北京:机械工业出版社,2004:278-300
[103]毛海军,孙庆鸿,陈南.基于子结构阻抗匹配与优化拟合的高精度磨床整机动力学建模研究.中国机械工程,2002,13(5):376-378
[104]陈新,孙庆鸿,海军等.基于接触单元的磨床螺栓连接面有限元建模与模型修正.中国机械工程,2001,12(5):524-526
[105]杨棣,唐恒龄,廖伯瑜.机床动力学(130).北京:机械工业出版社,1983:381-389
[106]陈新,孙庆鸿,毛海军等.基于接触单元的磨床螺栓连接面有限元建模与模型修正.中国机械工程,2001,13(5):1898-1904
[107]张广鹏,史文浩,黄玉美.机床导轨结合部的动态特性解析方法及其应用.机械工程学报,2002,(10):1686-1690
[108]张琪昌,任爱娣,刘海英.多尺度法的设解形式之探讨.非线性动力学学报,2004,11(1):66-73
[109]王世军,黄玉美,赵金娟等.机床导轨结合部的有限元模型.中国机械工程,2004,15(18):1634-1636
[110] Dwivedy S K,Kar R C.Nonlinear response of a parametrically exc ited systemusing higher-order method of multiple scales.Nonlinear Dyna mics,1999,20:115-130
[111] P.F.Rogers,G.Boothroyd. Damp ing at metallic interfaces subjected to oscillatingtangentia l loads.Journa l of Engineerning for Industry, Trans. ASME,1975(6):1087-1093
[112]吉村允孝著,陶志范译.采用接合面动态数据的计算机辅助设计来改善机床的结构刚性.机床.1979(1)
[113]贺兵.超高速平面磨床结构动态特性的研究与结构优化.[湖南大学硕士学位论文].长沙:湖南大学.2004:12-13
[114]童忠钫,张杰.加工中心立柱床身结合面动态特性研究及参数识别.振动与冲击,1992(3):66-69
[115] Lakrad F,Belhaq M.Periodic solutions of strongly nonlinear oscillators by themultiple sca les method.Joural of Sound and Vibration,2002,258(4):677-700
[116]毛宽民、叶俊、李斌.基于PATRAN的机床结构快速动力学建模系统的开发.中国机械工程,2008,19(5):1144-1148
[117]韩正铜.磨削颤振与磨削表面形貌误差的研究.[中国矿业大学博士学位论文].北京:中国矿业大学.2002.6
[118]刘延柱,陈立群.非线性振动.北京:高等教育出版社,2001
[119]杨高伟. M1432A型万能外圆磨床磨削振动及机构动力学研究.[郑州大学硕士学位论文].郑州:郑州大学,2011.6
[120]李月,杨宝俊.混沌振子检测引论.北京:电子工业出版社,2004
[121]陈章燕.磨削力的试验研究.北京工业大学学报,1990,12:98-105
[122] Amo ld V I. Geometrica l methods in the theory of ordinary diferentia l equations.New York: Springer—Verlag, Berlin: Heidelberg Tokyo,1983.
[123] Bar A. Parametric excite ment vibration in tandem mills mathe matica l model andits analys is. Journa l of Materia lsProcessing Technolo gy,2002.129(1):148-151
[124]朱才朝,王鸿恩.4200厚板轧机机座垂直方向振动的研究.重庆大学学报,1993, l6(6):51-57
[125]陈勇辉,史铁林,杨叔子.四辊冷带轧机非线性振动的探究.机械工程学报.2003,39(4):56-60
[126] Nayfeh A H and Mook D T.Nonlinear Oscillations.John Wile y&Sons,1979
[127]李月,杨宝俊.混沌振子检测引论.北京:电子工业出版,2004
[128] Younes M A, Shahtout M, Damir M N. A parameters design approach to improveproduct quality and equip ment perform—a lice in hot rolling. Journa l of MaterialsProcessing Techno logy,2006,171:83-92
[129] Swiatoniowski A, Bar A. Parametrical exc iteme nt vibration in tandemmills—mathematical model and its ana lys is. Journal o f Materials ProcessingTechnology,2003,134:214-224
[130] Tamiya T, Fund K, Iida H, et al. Ana lys is of chattering phenome non in coldmHing. Proceedings o f the Internationa l Conference on stee l Rolling, Tokyo,Japan,1980,2:1191-1202
[131]郝柏林.从抛物线谈起:混沌动力学引论.上海:上海科技教育出版社,1993
[132]闻邦春.工程非线性振动.北京:科学出版社,2007
[133]曹树谦.振动结构模态分析一理论、实验与应用.天津:天津大学出版社,2001
[134]屈维德,唐恒龄.机械振动手册.北京:机械工业出版社,2000
[135]李沪曾, GSPur,郭大津.机床振动学研究的历史回顾与展望.同济大学学报,1994,22(3):378-384
[136]傅志方,华宏星.模态分析理论与应用.上海:上海交通大学出版社,2002
[137]沃德.海伦斯蒂芬,拉门兹波尔.萨斯著,白化同、郭继忠译.模态分析理论与试验.北京:北京理工大学出版社,2001
[138]张文志.机械结构有限元分析.哈尔滨工业大学出版社,2006
[139]廖伯瑜,周新民,尹志宏.现代机械动力学及其工程应用.北京:机械工业出版社,2004,232-300
[140]温熙森.机械系统建模与动态分析.北京:科学出版社,2004
[141]张新玉,张文平,李全等.圆柱形薄壳结构的试验模态分析方法研究.哈尔滨工程大学学报,2006,27(1):20-25
[142]陈锋,陈小安,孟杰.高速电主轴的工作模态试验分析.现代制造工程.2008,(8):1-3
[143]郑金兴,张铭钧,孟庆鑫.试验模态技术在机床结构动态特性研究中的应用.测控技术,2007,26(12):28-31
[144] Yuzhong,Cao,Y.Altintas.Modeling o f spindle-bearing and machine tool syste msfor virtual simulation of milling operations.Internatio nal Journa l of MachineTools&Manufacture,2007,47:1342-1350
[145] Adam G.Reho m,Jin jiang,Peter E.Orban,Evgueni Bordatchev.Modeling andexperime ntal investigation of spind le and cutter dynamics for a high-precisio nmachining ceter.Internationa l Journa l Manufacturing Technology,2004,24:806-815
[146] Matti Rantatalo,Jan Olo v Aidanpaa,Bo Goransson,Peter Norman.Millingmachine spind le analys is us ing FEM and non-contact spind le exc itation andresponse measureme nt.Internatio nal Journa l of Machine Tools&Manufacture,2007,47:1034-1045
[147] Chi-Wei Lin,Jay F.Tu.Model-Based Design of Motorized Spind le Systems toImprove Dynamic Performa nce at High Speeds.Journa l of ManufacturingProccesses.2007,9(2):94-108
[148] M.I.Friswe ll,J.E.Penny. Da mping ratio and natura l frequency bifurcations inrotationing syste ms.Journa l of sound and Vibration,2001,245(5):379-382
[149] Vafaei,S.Rahne igat.Vibration monitoring o f high speed spindles us ing spectralanalys is techniques.Internationa l Journa l of Machine Tools and Manufacture.V42,N11,Sepember2002,Elseviser Science Ltd.
[150] J.S.Wu,D.W.Chen, Dyna mic analys is of a uniform cantilever beam carrying anumber of elastically mounted point masses with da mper. J.Sound Vib.2000,229(3):549-578
[151] Ueno,Shiqeru, Trend of machine tool performa nce eva lution.transatio ns of theJapan Society of Mechanica l Engineers,Part C,2005:1416-1420
[152] Simo n S.park,Yusuf Altintas,Movahhedy M.Receptance coupling for endmills.International Journal o f Mahchine Tools and Manufacture,2003,43(9):889-896
[153] Park S S.Indenfification of spindle integrated force sensor’s transfer function formodular end mills.Journal o f Manufacturing Scie nce and Engineering,Transactions of the ASME,2006,128(1):146-153
[154]李光辉,冯平法. HSK刀柄与主轴联结性能的有限元分析.工具技术,2005,39(9):27-30
[155]张松,艾兴,赵军.高速主轴/刀具联结的参数化有限元法优化设计.机械工程学报.2004,40(2):83-86
[156]张松,艾兴. HSK主轴/刀具联结的有限元分析.机械科学与技术,2004,23(6):631-633
[157] Kushnir,Emmanuil.Optimization of Machine Tool Structures Based on Static andDyna mic Criteria.Amercian Society of Mechanical Enginee rs,Recent Advancesin Soilds and Structures,2002:201-206
[158] Shih.C.J,Yu.K.C.Weighting obiectives strategy in multicriterion fuzzymechanical and structura l optimization.Structura l Engineering and Mechanics.1995,3(4):373-382
[159] T.Ren.Using genetic algorithms and fuzzy control for spind le of CNC machinetool.Internationa l Conference on Intelligent Mechatronics and Auto mation,2004
[160] Jia-Jang Wu.Free vibratio n analysis of beams carrying a number of two-degree-of-freedom spring-damper-mass systems,Finite Elements in Ana lys is andDesign,2004,40:363-381
[161] M.Alberti,J.Ciurana,M.Casadesus.A system for optimizing cutting parameterswhen planning milling operations in high-speed machining.Journa l of Materia lsProcessing Technolo gy,168(2005):25-35
[162] Y.I.Friswe ll,J.E.Penny.Damp ing ratio and natural frequency bifurcations inrotating syste ms.Journa l of Sound and Vibration,2001,245(5):379-382
[163] B.R.Jorensen,Y.C.Shin.Dyna mic of spind le-bearing syste ms at high speedsincluding cutting load effects.Journal of Manufacturing Science andengineering,1998,120:551-556
[164] Y.kang,Y.P.Chang,J.W.Tsai,S.C.Chen,L.K.Yang.Integrated”CAE”strategies ofthe design of machine tool spindle-bearing systems.Finite Ele ments in Analys isand Design,2001,37:485-511
[165] Y.Zhang,B.McCla in,X.D.Fang.Design of interference fits via finite eleme ntmethod.Internationa l Journa l of Mechanical Sciences,2000,42:1835-1850
[166] Bahattin Kanber.Boundary Eleme nt Ana lys is of Interference Fits.Turkish J.Eng.Env.Sci.2006(30):323-330
[167] Adna Oze l,Semsettin Te miz.Stress analys is of shrink-fitted joints for vario us fitforms via finite eleme nt method.Ava ilable online at www.sciencedirct.com,Materia ls and Design,2005(26):281-289
[168] Euge ne I,Rivin.Tooling Structure: Interface between Cutting Edge and MachineTool. Anna ls of the CIRP. Vol.49/2(2000):591-632
[169] Zeilinger,James. Balanced toolhold ing for high-speed machining. ModernMachine Shop.1989,10(62):80-86
[170] Schulz,H.Balanc ing requireme nts for fast rotating tools and spind le system.CIRP.Annals,Manufacturing Techno logy.1998,47(1):321-324
[171]沈春根.高速加工工具系统的动力学特性及应用基础研究.[江苏大学博士学位论文].镇江:江苏大学,2011.6
[172]缪红燕,高金吉,徐鸿.转子系统瞬态不平衡响应的有限元分析.振动与冲击.2004,23(3):1-4
[173]张鹏鹰,陈兵,曹跃云等.模拟转子不平衡响应数值分析及实验研究.海军工程大学学报.2008,20(l):12-15
[174]阮金彪,刘树春,刘荣强等.柔性转子不平衡响应与传递力的分析.哈尔滨工业大学学报,1995,27(6):117-120
[175]杨建刚.旋转机械振动分析与工程应用.北京:中国电力出版社,2007:38-42
[176]沈伟.旋转机械主动平衡技术及工程应用研究.[北京化工大学博士学位论文].北京:北京化工大学,2006,(11):55-60
[177] C.F.Beads.Damping in struetural joints.The Shoek and Vibration Digest,1985,52(6):21-23
[178] M.Burdekin, N.Baek, A.Cowle y.Analys is of the local deformation in machinejoints.Mech.Eng.Sci,1979,34(3):15-17
[179]赵经文,王宏饪.结构有限元分析.哈尔滨:哈尔滨工业大学出版社,1998
[180] Beads C F. Damp ing in structural joints.The Shock and Vibration Digest.1982(6):563-570
[181]陈新,刘泽民,罗鸿等.基于试验模态参数的结构多层结合部特征特征参数识别.试验力学,1995,(2):172-180
[182]刘晓平,徐燕申,宋健伟等.机械结构结合部阻尼特征参数识别的研究.振动与冲击,1995,(3):61-65
[183]洪钟瑜,周谦.复杂结构连接刚度的优化识别技术.振动与冲击,1994,(l):54-59
[184]廖伯瑜,周新民,尹志宏.现代机械动力学及其工程应用.机械工业出版社,2004:266-267
[185] Agaplou J S.A methodolo gy to measure joint stiffness parameters fortoolholder-spind le interfaces.Journal o f Manufacturing Systems,2005,24:244-250
[186] Grobel.I.P.Balanc ing turbine-generator rotors.General Electric Review,1953,56(4):22
[187] Bis hop R E D.The vibration of rotating sha fts.Journa l of Mechanical EngineeringScience,1959,1(1):50
[188] Goodman T P.A Least-squares method of computing balance corrections.Journa lof Engineering for Industry,1964,(8):273-277
[189]王文亮,杜作润.结构振动与动态子结构方法.上海:复旦大学出版社,1985
© 2004-2018 中国地质图书馆版权所有 京ICP备05064691号 京公网安备11010802017129号 地址：北京市海淀区学院路29号 邮编：100083 电话：办公室：(+86 10)66554848；文献借阅、咨询服务、科技查新：66554700 |