锆合金管校直工艺机理及其成套设备研究
|
摘要
金属锆具有优异的加工性能和很小的热中子捕获截面,在核能领域广泛应用,其中核反应堆中的核燃料包壳管和压力管等都要大量用到锆合金薄壁管件。锆合金薄壁管的制造精度要求很高,需要进行精密校直。由于薄壁管易于发生截面扁化,同时锆合金材料成本昂贵,手工校直不能满足制造精度和成品率高的要求,因此必须大力发展锆合金薄壁管的自动精密校直技术。
本论文在分析管件变形特征的基础上,根据反弯校直原理,指出管件校直工艺理论中两个根本问题,即压点、支点组合问题和校直量计算问题,依据弹塑性力学理论建立了管件行程控制型单步校直计算方法。对薄壁管件校直过程中产生截面扁化的现象、特征、机理,以及截面应力应变变化进行了深入研究,分析了管件的材料特征、几何形状和弯矩等对截面扁化率的影响,建立了截面扁化率的计算公式。在此基础上,提出了薄壁管“跬积校直法”校直工艺方法,综合考虑壁厚、材料特性、几何尺寸等因素,将一次大行程压弯校直过程细分为多步小行程校直过程,实现薄壁管的充分校直,同时有效地避免校直中出现截面扁化变形。
采用最小二乘法原理分析了杠杆检测系统的原理,依据键合图法研究了复位弹簧的优化问题,应用最小二次判别法探讨了管件圆度检测最小点数问题,结合拟合函数法分析了杠杆式接触检测系统中管件半径对误差的影响,探讨了检测杠杆的长度优化问题。
结合液压机的工艺动作要求,研究了比例伺服液压控制系统,采用传递函数法计算了校直机液压系统的动态性能,并进行了相关仿真计算,并借助模糊控制PID理论对系统动态特性进行实时控制,从而实现了锆合金校直成套设备液压压头的精密控制。
本论文最后在前面理论研究和工艺设计的基础上,结合企业实际需求,提出了锆合金管校直液压成套设备的总体设计方案。设计了成套设备的主机控制系统、液压系统、检测系统、校直工作台、移动工作台、以及管件自动上下料系统。现场试验表明,所设计的锆合金管件校直成套设备能很好满足锆合金薄壁管的自动精密校直需求。
Zirconium alloys pipe is used to be nuclear fuel cladding tube in nuclear reactor, and the thin-wall zirconium pipe manufacture precision is so high that manual straightening technology can not meet the requirements, and automatic precise straightening technology must be developed.
Two basic problems about the straightening stroke calculation and the combination of press and support points in the pipe straightening technology were put forward according to the anti-bend leveling principle and analysis of pipe deformation characteristics. The pipe single step straightening calculation controlled by stroke had been built up from the elastic plastic theory. The pipe stress and strain in straightening deformation had been analyzed based on elastic-plastic theory, and the flatten rate computation formula was built from the plane displacement triangle series assumption. The simulation result expressed the flatten factor was hard effected by the load exerted on the pipe.
The least square method was applied in level measuring system errors analysis. The reset spring rigidity optimization was performed by the bond graph. And the minimum measuring points around the pipe wall was decided in the quadratic discriminate analysis, and the level touch measuring system errors from the pipe radius was researched by the fitting function methods, and the level length optimization was performed.
The hydraulic proportion serve system had been designed to meet the straightening press function. The system dynamic characteristics were calculated through the transfer function methods, and simulation experiments performed. Fuzzy logical PID control was presented to realize the press precise movement, and the positioning precision was less than0.02mm.
The overall design scheme of the zirconium pipe straightening press was put forward based on the theory research and process design, some key main machine body such as main control system, hydraulic system, detecting system, straightening work bench, traverse table and the automatic feeding and unloading system were designed. And the experimental results expressed the Zirconium alloys pipe straightening whole set equipment well meet the actual requirements of the manufacture precision.
本论文在分析管件变形特征的基础上,根据反弯校直原理,指出管件校直工艺理论中两个根本问题,即压点、支点组合问题和校直量计算问题,依据弹塑性力学理论建立了管件行程控制型单步校直计算方法。对薄壁管件校直过程中产生截面扁化的现象、特征、机理,以及截面应力应变变化进行了深入研究,分析了管件的材料特征、几何形状和弯矩等对截面扁化率的影响,建立了截面扁化率的计算公式。在此基础上,提出了薄壁管“跬积校直法”校直工艺方法,综合考虑壁厚、材料特性、几何尺寸等因素,将一次大行程压弯校直过程细分为多步小行程校直过程,实现薄壁管的充分校直,同时有效地避免校直中出现截面扁化变形。
采用最小二乘法原理分析了杠杆检测系统的原理,依据键合图法研究了复位弹簧的优化问题,应用最小二次判别法探讨了管件圆度检测最小点数问题,结合拟合函数法分析了杠杆式接触检测系统中管件半径对误差的影响,探讨了检测杠杆的长度优化问题。
结合液压机的工艺动作要求,研究了比例伺服液压控制系统,采用传递函数法计算了校直机液压系统的动态性能,并进行了相关仿真计算,并借助模糊控制PID理论对系统动态特性进行实时控制,从而实现了锆合金校直成套设备液压压头的精密控制。
本论文最后在前面理论研究和工艺设计的基础上,结合企业实际需求,提出了锆合金管校直液压成套设备的总体设计方案。设计了成套设备的主机控制系统、液压系统、检测系统、校直工作台、移动工作台、以及管件自动上下料系统。现场试验表明,所设计的锆合金管件校直成套设备能很好满足锆合金薄壁管的自动精密校直需求。
Zirconium alloys pipe is used to be nuclear fuel cladding tube in nuclear reactor, and the thin-wall zirconium pipe manufacture precision is so high that manual straightening technology can not meet the requirements, and automatic precise straightening technology must be developed.
Two basic problems about the straightening stroke calculation and the combination of press and support points in the pipe straightening technology were put forward according to the anti-bend leveling principle and analysis of pipe deformation characteristics. The pipe single step straightening calculation controlled by stroke had been built up from the elastic plastic theory. The pipe stress and strain in straightening deformation had been analyzed based on elastic-plastic theory, and the flatten rate computation formula was built from the plane displacement triangle series assumption. The simulation result expressed the flatten factor was hard effected by the load exerted on the pipe.
The least square method was applied in level measuring system errors analysis. The reset spring rigidity optimization was performed by the bond graph. And the minimum measuring points around the pipe wall was decided in the quadratic discriminate analysis, and the level touch measuring system errors from the pipe radius was researched by the fitting function methods, and the level length optimization was performed.
The hydraulic proportion serve system had been designed to meet the straightening press function. The system dynamic characteristics were calculated through the transfer function methods, and simulation experiments performed. Fuzzy logical PID control was presented to realize the press precise movement, and the positioning precision was less than0.02mm.
The overall design scheme of the zirconium pipe straightening press was put forward based on the theory research and process design, some key main machine body such as main control system, hydraulic system, detecting system, straightening work bench, traverse table and the automatic feeding and unloading system were designed. And the experimental results expressed the Zirconium alloys pipe straightening whole set equipment well meet the actual requirements of the manufacture precision.
引文
[1]喻杰.锆的核应用与我国锆材加工技术[J].机械制造.2009(5).48-50
[2]林振汉.锆及其化合物的应用.世界有色金属[J].2011(7).68-69
[3]袁改焕,李恒羽,王德华.锆材在核电站的应用及前景[J].稀有金属快报.2007(1)：14-16
[4]李恒羽,袁改焕,王德华.尺寸连续测量技术在核用锆管生产中的应用[J].钛工业进展.VoL.25,No.2：37-41
[5]熊炳昆.锆在核电应用中的工业现状[J].稀有金属快报.2005(4)：45-47
[6]李恒羽,王德华,陈莉.核用锆合金管材的涡流检测技术[J].无损探伤.2007(2),Vol.31 No.1：20-22
[7]崔甫.矫直理论与参数计算[J].北京.机械工业出版社.1994
[8]钦明浩,柯尊忠,张向军等.精密矫直机中轴类零件矫直工艺理论研究[J].北京：机械工业学报.Vo133.No.2,1997.4,P48-P53
[9]钦明浩,张向军,蒋守仁等.轴类零件校直理论分析[J].合肥工工大学学报.Vol.19.No.4,1996.12,P22-P28
[10]钦明浩,吴焱明,蒋守仁等.轴类零件校直的有限元解法[J].合肥工业大学学报.Vol.19.No.2,1996.6,P24-P29
[11]张向军,桂长林,蒋守仁.轴类零件校直设计理论和计算修正研究[J].机械设计,1997,11：P9-P11
[12]翟华,韩春明,柯尊忠等.轴类零件精密校直行程算法[J].重型机械.Vol 30.No3,2001.10.P23-P26
[13]Zhai Hua. Research on Straightening Technology CAM system. Chinese Journal of Mechanical Engineering[J]. Vol16. No.2,2003, P65-P68
[14]翟华.台阶轴校直工艺计算方法及实验研究[J].机械强度.Vol.24.No.3.2002.388-390
[15]翟华,柯尊忠等.含单边径向裂纹轴校直行程可行域研究[J].农业机械学报.Vol.31No.2.2003.123-126
[16]翟华.J积分移动理论的单边径向裂纹轴校直行程算法[J].翟华.农业机械学报.2008.Vol.36 No.8.123-126
[17]翟华.轴类零件校直工艺广义预测多步算法研究[J].塑性工程学报.Vol.18No.5.2004.50-53
[18]翟华,韩春明等.罗拉轴校直工艺理论及实验研究[J].纺织学报.Vol.23.No.4.2002.68-69
[19]翟华等.异型薄壁管件截面校正工艺理论与实验研究[J].农业机械学报.Vol.34.No.5.2003.113-115
[20]李玉宝,翟华,柯尊忠.薄壁圆筒零件变形的有限元法研究[J].合肥工业大学学报：自然科学版.2005,28(2).121-124
[21]柯尊忠,翟华.基于滚动优化的校直工艺理论及实验研究[J].合肥工业大学学报.Vol.25.No.5.2002.663-666
[22]李骏,邹慧君,熊国良,陈慧.压力矫直过程模型的有限元分析及应用[J].重型机械.Vol.33.No.1.2004.28-30
[23]李骏,熊国良,邹慧君.轴类零件压力矫直过程的数学模型与行程计算[J].重型机械.Vol.33.No.6.2004.41-44
[24]李骏,邹慧君,熊国良.压力校直过程的理论模型研究及其实验验证[J].机械强度.Vol.27.No.5.2005.636-639
[25]徐桂兰,焦小明.从导轨校直中分析研究细长杆件校直精度的影响因素[J].机械研究与应用.Vol.17.No.2.2004.17-18
[26]范永海,郑树清.齿轮轴校直理论及实验研究[J].机械设计与制造.No.4.2006.99-101
[27]彭秋生,李明,赵晓银,李伟.基于人工神经网络控制的自适应电机轴出轴端校直机的研制[J].机械制造.Vol.44.No.8.2006.29-3 1
[28]张永奇,辛镝等.轴类零件校直的预留量计算[J].试验技术与试验机.No.2.2006.18-21
[29]余同希,章亮炽著.塑性弯曲理论及其应用[M].北京：科学出版社.1992.395-406
[30]虞跃生,刘光宇.管材压扁的回弹分析[J].金属成形工艺,Vol.18 No.52000
[31]高展,刘春旭,朱世忠.钢管压力矫直行程计算公式的理论研究[J].宝钢技术.2009(1)：52-55
[32]朱美珍,王春香,刘玉瑛.对向六斜辊管材校直机压扁力研究[J].包头钢铁学院学报,Vol16.No.1,Mar 1997
[33]朱美珍,王雨华,王春香.对向六斜辊管材校直机压扁压下量的研究[J].包头钢铁学院学报,Vo117.No.1,1998,P33-P35
[34]程先华,吴炬,徐勇.钢管压扁矫正过程的计算机模拟[J].上海交通大学学报.2004年09期
[35]徐勇,程先华.钢管压扁矫正残余应力分析[J].上海交通大学学报.2003年10期
[36]李连进,胡广大.无缝钢管定径过程中的压下量和温度对残余应力分布的影响[J].塑性工程学报.2007(5)
[37]林桥,杨英丽,郭荻子。薄壁钛管的矫直[J].稀有金属快报.Vol25(4).2006.pp25-28
[38]臧勇.斜辊矫直大口径薄壁铜管断面畸变的仿真分析[J].塑性工程学报Vol16(4).2006.pp116-120
[39]TX Yu and W Johnson. The large elastic-plastic deflection with springback of a circular plate subjected to circum-ferential moments[J].ASME J Appl Mech,1982,49,507-515
[40]朱革.圆管弯曲的失效分析及其截面扁化、轴线伸长规律的研究[D].重庆大学硕士学位论文,2000
[41]熊淑元.圆管弯曲的弯曲变形规律和弯曲回弹的研究[D].重庆大学硕士学位论文,2001
[42]杨合,李落星,王渠东,郭良刚.轻合金成形领域科学技术发展研究[J].机械工程学报.Vol.46No.12.2010.31-42
[43]刘芷丽,詹梅,杨合等.圆管压扁压弯连续变形过程有限元模型的建立及截面畸变研究[J].塑性工程学报.Vol.15,No.5,2008.101-107
[44]张津,刘郁丽,赵刚要,杨合.材料参数对矩形管绕弯截面变形的影响[J].热加工工艺.Vol.38,No.13,2009.1-5
[45]闫晶,杨合,詹梅,李恒.基于多成形指标的大直径铝合金薄壁管数控弯曲成形极限[J].中国科学：技术科学Vol.40,No.6,2010.601-618
[46]Jin-Ichiro Apaki and Hiromu Suzuki, "Study on Change in Diameter of Round in Straightening", Journal of Japan Society for Technology of Plasticity[J]. Vol.13.No.1.1972. 3-13
[47]Hiromu Suzuki, Jin-Ichiro Apaki and Naomichi Yamamoto.A Study on Deforming Mechanism in Three -Dimensional Straightening of Curved Bars[J], Journal of Japan Society for Technology of Plasticity. Vol.15.No.1.1974.35-42
[48]L.G Brazier. On the flexure of thin cylindrical shells and other "thin" structures[J], Proc.R.Soc. Londo n,116A,1927,pp.104-114
[49]C.R.Calladine. Plastic bucking of tubes in pure bending, in collapse:The buckling of Structures in Theory and Practice[J], IUTAM Sym, eds. J.M.T. Thompson and GW. Hunt, Cambridge University Press, Cambridge,1983.
[50]B.D.Reddy. The elastic and plastic buckling of circular cylinder in pure bending, Ph.D. Thesis, Cambridge University. UK,1977.
[51]B.D.Reddy. An experimental study of the plastic buckling of circular cylinders in pure bending[J], Int. J. Solids Structure.,15,1979, pp669-683.
[52]L.C. Zhang and T.X. Yu. An inverstigation of the Brazier effect of a cylinder tube under pure elastic-plastic bending[J], Int. J. Press. Ves & Piping,30,1987, pp77-86.
[53]D. Redekop Ram Bending of a Curved Pipe in the Elastic Range[J]. Int. J. Pres. Ves. & Piping 44(1990)191-206
[54]T.Katoh, E.Urata. Measurement and control of straightening process for seamless pipes[J]. Journal of Engineering for Industry. Vol.115.No.8.1993.347-351
[55]Giovanni Tani, Luca Tomesani. Adaptive control in the straightening process of case hardened parts[J]. International Manufacturing Engineering Conference,1996:356-358
[56]Hoon Huh, Jin Hyuck Heo, Hyoung Wook Lee. Optimization of a roller levelling process for A17001T9 pipes with finite element analysis and Taguchi method[J]. International Journal of Machine Tools & Manufacture. Vol.43 2003.345-350
[57]M.Aron. Stability conditions for straightened non-linearly elastic annular cylindrical sectors. International Journal of Non-Linear Mechanics[J]. Vol.41 2006.672-677
[58]E.M.M. Fonseca, F.J.M.Q. de Melo, C.A.M. Oliveira. Determination of flexibility factors in curved pipes with end restraints using a semi-analytic formulation[J]. International Journal of Pressure Vessels and Piping.79 (2002) 829-840
[59]E.M.M. Fonseca, F.J.M.Q. de Melo. Numerical solution of curved pipes submitted to in-plane loading conditions[J]. Thin-Walled Structures.48(2010)103-109
[60]S.V. Levyakov, V.N. Pavshok Buckling analysis of flanged curvilinear pipes in pure bending[J]. International Journal of Pressure Vessels and Piping.85 (2008) 306-312
[61]T.Katoh, E.Urata. Measurement and control of straightening process for seamless pipes[J]. Journal of Engineering for Industry. Vol.115.No.8.1993.347-351
[62]Giovanni Tani, Luca Tomesani. Adaptive control in the straightening process of case hardened parts[J]. International Manufacturing Engineering Conference,1996:356-358
[63]J. Reissner and M.Meier. Computer-aided three bending of multiple-bend profiles[J]. Annals of the CIRP. Vol.34.1985.259-262
[64]K.A.Stelson and D.C.Gosard. An adaptive pressbrake control using an elastic-plastic material model[J]. Journal of Engineering for industry. Vol.104.1982.11.389-393
[65]Seung-Cheol Kim, Sung-Chong Chung. Synthesis of the multi-step straightening control system for shaft straightening processes[J]. Mechatronics.Vol.12.2002.139-156
[66]M.Nastran, K.Kuzman. Stabilisation of mechanical properties of the wire by roll straightening[J]. Journal of Material Prcoessing Technology. Vol.133.2003 166-173
[67]M.Nastran, K.Kuzman. Some comments on cold forming process stability analysis[J]. Journal of Material Prcoessing Technology. Vol.133.2003 166-173
[68]J.Balic, M.Nastran. An on-line predictive system for steel wire straightening using genetic programming[J]. Artificial Intelligence. Vol.15.2002.559-565
[69]M.Murata, T.Kuboki, K.Takahashi, M.Goodarzi, YJin. Effect of hardening exponent on tube bending[J].Journal of materials processing technology.201(2008).189-192
[70]A. Megharbel, GA. Nasser, Aly Domiaty. Bending of tube and section made of strain-hardening materials[J]. Journal of materials processing technology.203 (2008).372-380
[71]ZHAO Gang-yao, LIU Yu-li, YANG He, LU Cai-hong. Cross-sectional distortion behaviors of thin-walled rectangular tube in rotary-draw bending process[J]. Trans. Nonferrous Met. Soc. China.20(2010) 484-489
[72]ZHANG Da-wei, YANG He, SUN Zhi-chao. Finite element simulation of aluminum alloy cross valve forming by multi-way loading[J]. Trans. Nonferrous Met. Soc. China 20(2010) 1059-1066
[73]A. El Megharbel, G.A. El Nasser, Aly El Domiaty. Bending of tube and section made of strain-hardening materials[J]. Journal of materials processing technology 203 (2008) 372-380
[74]Al-Qureshi, H.A.,. Elastic-plastic analysis of tube bending[J]. Int. J. Mach. Tools Manuf.39, 1999.87-104
[75]R. Bihamta, Q.H. Bui, M. Guillot, G. D Amours, A. Rahem, M. Fafard. A new method for production of variable thickness aluminium tubes:Numerical and experimental studies[J]. Journal of Materials Processing Technology.211 (2011) 578-589
[76]M. Elchalakani, X.L. Zhao, R.H. Grzebieta. Concrete-filled circular steel tubes subjected to pure bending[J]. Journal of Constructional Steel Research 57 (2001) 1141-1168
[77]Yang He, Yan Jing, Zhan Mei, Li Heng, Kou Yongle.3D numerical study on wrinkling characteristics in NC bending of aluminum alloy thin-walled tubes with large diameters under multi-die constraints[J] Computational Materials Science.45 (2009) 1052-1067
[78]H. Li, H. Yang, M. Zhan, Y.L. Kou. Deformation behaviors of thin-walled tube in rotary draw bending under push assistant loading conditions[J]. Journal of Materials Processing Technology.210 (2010) 143-158
[79]A.M.马斯基列逊.管材矫直机[M].机械工业出版社.1979.p2
[80]合肥锻压机床有限公司网站.http://www.hfpress.com/display.asp?id=113
[81]合肥锻压机床有限公司网站.http://www.hfpress.com/display.asp?id=112
[82]安徽凯斯基自动化装备有限公司网站.http://www.kxgauto.com/product.asp base_id=13
[83]galdabini公司网站.www.galdabini.it
[84]长春试验机研究所有限公司网站.
[85]http://www.wjw.cn/product/mbr080227093823261993
[86]MAE公司网站.http://www.mae-goetzen.de/cn/straightening.php/
[87]Schuler公司网站.http://www.schulergroup.com/
[88]EITEL公司网站.http://www.eitelpresses.com/
[89]倪骁骅,邓善熙,吕国强,黄其圣等.阶梯轴多参数在线测量系统.工具技术[J],2000,34(7)：37-39
[90]倪骁骅,朱洪海,陈树祥.轴线测量中的曲线拟合方法比较研究[J].机械设计与制造工程.2001 Vo1.30 No.4 P.56-58,60
[91]Cappello E, Semeraro Q. The effect of sampling in circular substitute geometries evaluation[J]. Machine tools & manufacture,1999,39:55-85
[92]Cappello E, Semeraro Q. The Harmonic fitting method for the assessment of the substitute geometry estimation error. Part Ⅰ:2D and 3D theory [J]. Machine tools & manufacture,2001, 41:1071-1102
[93]Cappello E, Semeraro Q. The harmonic fitting method for the assessment substitute geometry estimation error. Part Ⅱ:Statistical approach, machine analysis and inspection plan optimization[J]. Machine Tools & Manufacture,41:1103-1129
[94]Henke R P, Summerhays K D, Baldwin J M, etal. Methods for evaluation of geometsic deviaunions in machined parts and their relationships to process variables[J]. Precision Engineering,1999,23:273-292
[95]N,Cho, J.F.Tu, Roundness modeling of machined parts for tolerance analysis[J], Precision engineering,2001,25:35-38
[96]N.Cho, J.F.Tu, Quantitative circularity tolerance analysis and design for 2D precision assemblies[J], Machine tools & manufacture,2002,42:1391-140
[97]Xuzheng David Zhang, A unified functional tolerancing approach for integrated design, manutacturing, and inspection[D], Dissertation for the Degree of Doctor of Philosophy, The Florida State University,2001
[98]Hocken RJ, Raja J, Babu U. Sampling issues in coordinate metrology[J]. Manufacture review, 1993,6:282-294
[99]Huaiqing Wu, Optimal exact design on a circle or a circular arc[J]. The annals ofstatistics 1997, 25(5):2027-2043
[100]G.Lee, J.Mou, and Y.Shen, Sampling strategy design for dimensional measurement of geometric features using coordinate measuring machine[J]. Machine tools & manufacture, 1997,37(7):917-934
[101]F.M.M.chan, T.G.King, K.J.Stout. The influence of feature in coordinate measurement. Measurement[J],1996 sampling strategy on a circular 19(2):73-81.
[102]S.D.Philips, B.Borchardt, etc.The estimation of measurement uncertainty of small circular features measured by coordinate measuring machines.Precision Engineering[J].1998,Vol.22: 87-97
[103]赵前程,邓善熙,张勇.圆柱形状误差的LF模型及其离散辨识方法[J].仪器仪表学报.Vol.27 No.72006(7).P706-710
[104]洪占勇,邓善熙,吕国强.轴类工件的校直参数在线检测方法的研究[J].机械设计与制造.2002(2)：68-70
[105]赵前程；杨天龙；郭迎福.一种高精度在线测量大外径的方法和装置[J].中国机械工程.2010年18期：23-27
[106]赵前程,邓善熙,刘善林.轮廓形状特征建模辨识及其应用[J].计量学报.2005年04期：304-308
[107]赵前程,罗晓莉,邓善熙.基于特征模型的形状误差估计新方法[J].仪器仪表学报,.2007年09期：19-22
[108]翟华.超高精罗拉轴毛坯件的自动综合检测系统[J].纺织学报.2007年12期：35-37
[109]翟华；孙运东；刘燕飞；杠杆式直接测量系统动态特性分析[J].机床与液压,2009年03 期：40-42
[110]翟华,张宏梅,钟华勇,赵韩.自重挠度对大型曲轴校直机在线检测系统的影响[J].中国机械工程.2011年19期：2278-2282
[111]陈永新,柯尊忠,翟华.具有变刚度弹性负载的电液位置伺服系统[J].农业机械学报.200435(4)12-16
[112]陈永新,柯尊忠,陈剑.四通阀控单出杆液压缸动态特性研究[J].机床与液压.200735(7)：77-79
[113]陈永新,柯尊忠,陈剑.精密校直液压机离散电液位置伺服系统的研究[J].中国机械工程.2007年18期：1-6
[114]卢检兵.基于Fuzzy-PID控制算法的校直机电液伺服系统的仿真与应用研究[D].合肥工业大学硕士论文.22-33
[115]丁曙光,吴卫平,桂贵生.基于神经网络PID的液压位置伺服系统控制的研究[J].组合机床与自动化加工技术.2009(3)：21-23
[116]丁曙光,葛治亮桂贵生.基于遗传算法的精密校直机电液伺服系统的仿真研究[J].重型机械.2010(2)：43-45
[117]吴振顺,姚建均,岳东海.模糊自整定PID控制器的设计及其应用[J].哈尔滨工业大学学报.2004 36(11)：1578-1580
[118]邹俊,傅新,杨华勇.免疫PID在液压位置伺服系统中的应用研究[J].机械工程学报.Vol.41.No.1.1-5
[119]翟华.轴类零件校直工艺及其数据库研究[D].合肥工业大学硕士学位论文.1998
[120]刘鸿文编.材料力学[M].北京：高等教育出版社.1985.P136-P176
[121]Zhai H, Zhong Huayong. Research on Roller Straightening Technology System with Multiple Arcs Deformation Based on Weighted Evaluation Function [J], ICEEE2010
[122]Zhai H, Zhong Huayong. Research on crankshaft straightening NP-hard problem based on weighted evaluation function [J], ICIECS 2010
[123]徐芝纶编.弹性力学[M].北京：高等教育出版社.1981.P121-P126
[124]贾乃文.塑性力学.[M]重庆：重庆大学出版社,1992.7 P24-P34
[125]王仁著.塑性变形力学[M].北京：高等教育出版社
[126]J.Margetson. Tensile Stress/Strain Characterization of Non-Linear Materials[J]. Journal of strain analysis, Vol16, No2,1981
[127]L.M.卡恰诺夫著,周承倜译.塑性理论基础[M].北京：高等教育出版社
[128]沃诺克F.V.,本哈姆PP著.固体力学和材料强度[M].第一版.北京：人民教育出版社,1983.P429-P450
[129]J.B.Martin. Plasticity:Fundamentals and General Results. Boston[M]:The MIT Press,1975. P123-145
[130]刘鸿文编.高等材料力学[M].北京：高等教育出版社.1985.P136-P176
[131]黄克智,陆明万,薛明德.弹性薄壳理论[M].北京：高度教育出版社,1998,P39-P80
[132]韩强,黄小清,宁建国等编著.高等板壳理论[M].北京：科学出版社,2002,P52-P85
[133]熊祝华编.塑性力学基础知识[M].北京：高等教育出版社,1986,P1-P42
[134]钟华勇,翟华,李玉宝.锆合金薄壁管三点弯校直中的截面扁化[J].塑性工程学报.2011(4)：19-22
[135]马凤刚.薄壁构件弯曲时横截面的变形[J].新疆工学院学报.VoL.18 No.2,1997(6)
[136]D.C.卡诺普等著.系统动力学[M].北京：机械工业出版社.1985
[137]潘亚东.键合图概论[M].重庆：重庆大学出版社.1990
[138]王运赣,王紫薇著.系统动力学[M].武汉：华中理工大学出版社.1991.7
[139]翟华,高洪编.机械系统仿真原理与应用[M].合肥：合肥工业大学出版社.2008
[140]唐宇慧.圆度误差检测的现状与展望[J].机床与液压.2004(11)：6-8
[141]吴新杰,张丹,李媛,陶崇娥.基于粒子群优化算法处理圆度误差[J].传感技术学报.2007,20(4)：832-834
[142]吴新杰,陈跃宁,许超.基于线性神经网络处理圆度误差[J].电子质量.2007(5)：38-40
[143]LI Zifang, CUI Changcai, CHE Rensheng, HUANG Qingcheng, YE Dong. Comparison of genetic algorithm based evaluation of roundness with evaluation of roundness based on least squared method[J]. Optics and Precision Engineering.2003,11(3):256-261
[144]田树耀.圆度误差的最小二乘法、最小包容区域法和最优函数法评定精度之比较[J].计量技术.2008(7)：63-65
[145]田社平,邵旼.圆度误差的全局评价方法[J].仪器仪表学报.2003,24(8)：10-11
[146]田社平.基于均匀分布的圆度误差评价[J].计量技术.2004(5)：53-55
[147]李敏通,杨青,赵友亮,朱俊平.最小区域法评定圆度误差的一种实现方法[J].西北农林科技大学学报(自然科学版).2003,31(2)：158-160
[148]黄建龙,秦建华,吕汝金,于霞.圆度误差最小区域法数学模型的建立及其测量方法[J]. 兰州理工大学学报.2005,31(2)：40-42
[149]卢巧明.按最小区域法评定圆度误差的优化算法[J].工业计量.2003
[150]李洪人.液压控制系统[J].哈尔滨：哈尔滨工业大学出版社.1981
[151]冯斌.液压油有效体积弹性模量及测量装置的研究[J].浙江大学博士学位论文.2009.P5
[152]诸静等.模糊控制理论与系统原理[M].北京：机械工业出版社.2005.08
[153]陈永新.精校机电液位置伺服系统的研究[D].合肥工业大学博士学位论文.2004.5
[154]佟绍成等.模糊控制系统的设计及稳定性分析[M].北京：科学出版社2004.01
[155]王芳；翟华；钟华勇；江擒虎；自动精密校直机两种机身的比较[J].装备制造技术.2010(6)：19-21
[2]林振汉.锆及其化合物的应用.世界有色金属[J].2011(7).68-69
[3]袁改焕,李恒羽,王德华.锆材在核电站的应用及前景[J].稀有金属快报.2007(1)：14-16
[4]李恒羽,袁改焕,王德华.尺寸连续测量技术在核用锆管生产中的应用[J].钛工业进展.VoL.25,No.2：37-41
[5]熊炳昆.锆在核电应用中的工业现状[J].稀有金属快报.2005(4)：45-47
[6]李恒羽,王德华,陈莉.核用锆合金管材的涡流检测技术[J].无损探伤.2007(2),Vol.31 No.1：20-22
[7]崔甫.矫直理论与参数计算[J].北京.机械工业出版社.1994
[8]钦明浩,柯尊忠,张向军等.精密矫直机中轴类零件矫直工艺理论研究[J].北京：机械工业学报.Vo133.No.2,1997.4,P48-P53
[9]钦明浩,张向军,蒋守仁等.轴类零件校直理论分析[J].合肥工工大学学报.Vol.19.No.4,1996.12,P22-P28
[10]钦明浩,吴焱明,蒋守仁等.轴类零件校直的有限元解法[J].合肥工业大学学报.Vol.19.No.2,1996.6,P24-P29
[11]张向军,桂长林,蒋守仁.轴类零件校直设计理论和计算修正研究[J].机械设计,1997,11：P9-P11
[12]翟华,韩春明,柯尊忠等.轴类零件精密校直行程算法[J].重型机械.Vol 30.No3,2001.10.P23-P26
[13]Zhai Hua. Research on Straightening Technology CAM system. Chinese Journal of Mechanical Engineering[J]. Vol16. No.2,2003, P65-P68
[14]翟华.台阶轴校直工艺计算方法及实验研究[J].机械强度.Vol.24.No.3.2002.388-390
[15]翟华,柯尊忠等.含单边径向裂纹轴校直行程可行域研究[J].农业机械学报.Vol.31No.2.2003.123-126
[16]翟华.J积分移动理论的单边径向裂纹轴校直行程算法[J].翟华.农业机械学报.2008.Vol.36 No.8.123-126
[17]翟华.轴类零件校直工艺广义预测多步算法研究[J].塑性工程学报.Vol.18No.5.2004.50-53
[18]翟华,韩春明等.罗拉轴校直工艺理论及实验研究[J].纺织学报.Vol.23.No.4.2002.68-69
[19]翟华等.异型薄壁管件截面校正工艺理论与实验研究[J].农业机械学报.Vol.34.No.5.2003.113-115
[20]李玉宝,翟华,柯尊忠.薄壁圆筒零件变形的有限元法研究[J].合肥工业大学学报：自然科学版.2005,28(2).121-124
[21]柯尊忠,翟华.基于滚动优化的校直工艺理论及实验研究[J].合肥工业大学学报.Vol.25.No.5.2002.663-666
[22]李骏,邹慧君,熊国良,陈慧.压力矫直过程模型的有限元分析及应用[J].重型机械.Vol.33.No.1.2004.28-30
[23]李骏,熊国良,邹慧君.轴类零件压力矫直过程的数学模型与行程计算[J].重型机械.Vol.33.No.6.2004.41-44
[24]李骏,邹慧君,熊国良.压力校直过程的理论模型研究及其实验验证[J].机械强度.Vol.27.No.5.2005.636-639
[25]徐桂兰,焦小明.从导轨校直中分析研究细长杆件校直精度的影响因素[J].机械研究与应用.Vol.17.No.2.2004.17-18
[26]范永海,郑树清.齿轮轴校直理论及实验研究[J].机械设计与制造.No.4.2006.99-101
[27]彭秋生,李明,赵晓银,李伟.基于人工神经网络控制的自适应电机轴出轴端校直机的研制[J].机械制造.Vol.44.No.8.2006.29-3 1
[28]张永奇,辛镝等.轴类零件校直的预留量计算[J].试验技术与试验机.No.2.2006.18-21
[29]余同希,章亮炽著.塑性弯曲理论及其应用[M].北京：科学出版社.1992.395-406
[30]虞跃生,刘光宇.管材压扁的回弹分析[J].金属成形工艺,Vol.18 No.52000
[31]高展,刘春旭,朱世忠.钢管压力矫直行程计算公式的理论研究[J].宝钢技术.2009(1)：52-55
[32]朱美珍,王春香,刘玉瑛.对向六斜辊管材校直机压扁力研究[J].包头钢铁学院学报,Vol16.No.1,Mar 1997
[33]朱美珍,王雨华,王春香.对向六斜辊管材校直机压扁压下量的研究[J].包头钢铁学院学报,Vo117.No.1,1998,P33-P35
[34]程先华,吴炬,徐勇.钢管压扁矫正过程的计算机模拟[J].上海交通大学学报.2004年09期
[35]徐勇,程先华.钢管压扁矫正残余应力分析[J].上海交通大学学报.2003年10期
[36]李连进,胡广大.无缝钢管定径过程中的压下量和温度对残余应力分布的影响[J].塑性工程学报.2007(5)
[37]林桥,杨英丽,郭荻子。薄壁钛管的矫直[J].稀有金属快报.Vol25(4).2006.pp25-28
[38]臧勇.斜辊矫直大口径薄壁铜管断面畸变的仿真分析[J].塑性工程学报Vol16(4).2006.pp116-120
[39]TX Yu and W Johnson. The large elastic-plastic deflection with springback of a circular plate subjected to circum-ferential moments[J].ASME J Appl Mech,1982,49,507-515
[40]朱革.圆管弯曲的失效分析及其截面扁化、轴线伸长规律的研究[D].重庆大学硕士学位论文,2000
[41]熊淑元.圆管弯曲的弯曲变形规律和弯曲回弹的研究[D].重庆大学硕士学位论文,2001
[42]杨合,李落星,王渠东,郭良刚.轻合金成形领域科学技术发展研究[J].机械工程学报.Vol.46No.12.2010.31-42
[43]刘芷丽,詹梅,杨合等.圆管压扁压弯连续变形过程有限元模型的建立及截面畸变研究[J].塑性工程学报.Vol.15,No.5,2008.101-107
[44]张津,刘郁丽,赵刚要,杨合.材料参数对矩形管绕弯截面变形的影响[J].热加工工艺.Vol.38,No.13,2009.1-5
[45]闫晶,杨合,詹梅,李恒.基于多成形指标的大直径铝合金薄壁管数控弯曲成形极限[J].中国科学：技术科学Vol.40,No.6,2010.601-618
[46]Jin-Ichiro Apaki and Hiromu Suzuki, "Study on Change in Diameter of Round in Straightening", Journal of Japan Society for Technology of Plasticity[J]. Vol.13.No.1.1972. 3-13
[47]Hiromu Suzuki, Jin-Ichiro Apaki and Naomichi Yamamoto.A Study on Deforming Mechanism in Three -Dimensional Straightening of Curved Bars[J], Journal of Japan Society for Technology of Plasticity. Vol.15.No.1.1974.35-42
[48]L.G Brazier. On the flexure of thin cylindrical shells and other "thin" structures[J], Proc.R.Soc. Londo n,116A,1927,pp.104-114
[49]C.R.Calladine. Plastic bucking of tubes in pure bending, in collapse:The buckling of Structures in Theory and Practice[J], IUTAM Sym, eds. J.M.T. Thompson and GW. Hunt, Cambridge University Press, Cambridge,1983.
[50]B.D.Reddy. The elastic and plastic buckling of circular cylinder in pure bending, Ph.D. Thesis, Cambridge University. UK,1977.
[51]B.D.Reddy. An experimental study of the plastic buckling of circular cylinders in pure bending[J], Int. J. Solids Structure.,15,1979, pp669-683.
[52]L.C. Zhang and T.X. Yu. An inverstigation of the Brazier effect of a cylinder tube under pure elastic-plastic bending[J], Int. J. Press. Ves & Piping,30,1987, pp77-86.
[53]D. Redekop Ram Bending of a Curved Pipe in the Elastic Range[J]. Int. J. Pres. Ves. & Piping 44(1990)191-206
[54]T.Katoh, E.Urata. Measurement and control of straightening process for seamless pipes[J]. Journal of Engineering for Industry. Vol.115.No.8.1993.347-351
[55]Giovanni Tani, Luca Tomesani. Adaptive control in the straightening process of case hardened parts[J]. International Manufacturing Engineering Conference,1996:356-358
[56]Hoon Huh, Jin Hyuck Heo, Hyoung Wook Lee. Optimization of a roller levelling process for A17001T9 pipes with finite element analysis and Taguchi method[J]. International Journal of Machine Tools & Manufacture. Vol.43 2003.345-350
[57]M.Aron. Stability conditions for straightened non-linearly elastic annular cylindrical sectors. International Journal of Non-Linear Mechanics[J]. Vol.41 2006.672-677
[58]E.M.M. Fonseca, F.J.M.Q. de Melo, C.A.M. Oliveira. Determination of flexibility factors in curved pipes with end restraints using a semi-analytic formulation[J]. International Journal of Pressure Vessels and Piping.79 (2002) 829-840
[59]E.M.M. Fonseca, F.J.M.Q. de Melo. Numerical solution of curved pipes submitted to in-plane loading conditions[J]. Thin-Walled Structures.48(2010)103-109
[60]S.V. Levyakov, V.N. Pavshok Buckling analysis of flanged curvilinear pipes in pure bending[J]. International Journal of Pressure Vessels and Piping.85 (2008) 306-312
[61]T.Katoh, E.Urata. Measurement and control of straightening process for seamless pipes[J]. Journal of Engineering for Industry. Vol.115.No.8.1993.347-351
[62]Giovanni Tani, Luca Tomesani. Adaptive control in the straightening process of case hardened parts[J]. International Manufacturing Engineering Conference,1996:356-358
[63]J. Reissner and M.Meier. Computer-aided three bending of multiple-bend profiles[J]. Annals of the CIRP. Vol.34.1985.259-262
[64]K.A.Stelson and D.C.Gosard. An adaptive pressbrake control using an elastic-plastic material model[J]. Journal of Engineering for industry. Vol.104.1982.11.389-393
[65]Seung-Cheol Kim, Sung-Chong Chung. Synthesis of the multi-step straightening control system for shaft straightening processes[J]. Mechatronics.Vol.12.2002.139-156
[66]M.Nastran, K.Kuzman. Stabilisation of mechanical properties of the wire by roll straightening[J]. Journal of Material Prcoessing Technology. Vol.133.2003 166-173
[67]M.Nastran, K.Kuzman. Some comments on cold forming process stability analysis[J]. Journal of Material Prcoessing Technology. Vol.133.2003 166-173
[68]J.Balic, M.Nastran. An on-line predictive system for steel wire straightening using genetic programming[J]. Artificial Intelligence. Vol.15.2002.559-565
[69]M.Murata, T.Kuboki, K.Takahashi, M.Goodarzi, YJin. Effect of hardening exponent on tube bending[J].Journal of materials processing technology.201(2008).189-192
[70]A. Megharbel, GA. Nasser, Aly Domiaty. Bending of tube and section made of strain-hardening materials[J]. Journal of materials processing technology.203 (2008).372-380
[71]ZHAO Gang-yao, LIU Yu-li, YANG He, LU Cai-hong. Cross-sectional distortion behaviors of thin-walled rectangular tube in rotary-draw bending process[J]. Trans. Nonferrous Met. Soc. China.20(2010) 484-489
[72]ZHANG Da-wei, YANG He, SUN Zhi-chao. Finite element simulation of aluminum alloy cross valve forming by multi-way loading[J]. Trans. Nonferrous Met. Soc. China 20(2010) 1059-1066
[73]A. El Megharbel, G.A. El Nasser, Aly El Domiaty. Bending of tube and section made of strain-hardening materials[J]. Journal of materials processing technology 203 (2008) 372-380
[74]Al-Qureshi, H.A.,. Elastic-plastic analysis of tube bending[J]. Int. J. Mach. Tools Manuf.39, 1999.87-104
[75]R. Bihamta, Q.H. Bui, M. Guillot, G. D Amours, A. Rahem, M. Fafard. A new method for production of variable thickness aluminium tubes:Numerical and experimental studies[J]. Journal of Materials Processing Technology.211 (2011) 578-589
[76]M. Elchalakani, X.L. Zhao, R.H. Grzebieta. Concrete-filled circular steel tubes subjected to pure bending[J]. Journal of Constructional Steel Research 57 (2001) 1141-1168
[77]Yang He, Yan Jing, Zhan Mei, Li Heng, Kou Yongle.3D numerical study on wrinkling characteristics in NC bending of aluminum alloy thin-walled tubes with large diameters under multi-die constraints[J] Computational Materials Science.45 (2009) 1052-1067
[78]H. Li, H. Yang, M. Zhan, Y.L. Kou. Deformation behaviors of thin-walled tube in rotary draw bending under push assistant loading conditions[J]. Journal of Materials Processing Technology.210 (2010) 143-158
[79]A.M.马斯基列逊.管材矫直机[M].机械工业出版社.1979.p2
[80]合肥锻压机床有限公司网站.http://www.hfpress.com/display.asp?id=113
[81]合肥锻压机床有限公司网站.http://www.hfpress.com/display.asp?id=112
[82]安徽凯斯基自动化装备有限公司网站.http://www.kxgauto.com/product.asp base_id=13
[83]galdabini公司网站.www.galdabini.it
[84]长春试验机研究所有限公司网站.
[85]http://www.wjw.cn/product/mbr080227093823261993
[86]MAE公司网站.http://www.mae-goetzen.de/cn/straightening.php/
[87]Schuler公司网站.http://www.schulergroup.com/
[88]EITEL公司网站.http://www.eitelpresses.com/
[89]倪骁骅,邓善熙,吕国强,黄其圣等.阶梯轴多参数在线测量系统.工具技术[J],2000,34(7)：37-39
[90]倪骁骅,朱洪海,陈树祥.轴线测量中的曲线拟合方法比较研究[J].机械设计与制造工程.2001 Vo1.30 No.4 P.56-58,60
[91]Cappello E, Semeraro Q. The effect of sampling in circular substitute geometries evaluation[J]. Machine tools & manufacture,1999,39:55-85
[92]Cappello E, Semeraro Q. The Harmonic fitting method for the assessment of the substitute geometry estimation error. Part Ⅰ:2D and 3D theory [J]. Machine tools & manufacture,2001, 41:1071-1102
[93]Cappello E, Semeraro Q. The harmonic fitting method for the assessment substitute geometry estimation error. Part Ⅱ:Statistical approach, machine analysis and inspection plan optimization[J]. Machine Tools & Manufacture,41:1103-1129
[94]Henke R P, Summerhays K D, Baldwin J M, etal. Methods for evaluation of geometsic deviaunions in machined parts and their relationships to process variables[J]. Precision Engineering,1999,23:273-292
[95]N,Cho, J.F.Tu, Roundness modeling of machined parts for tolerance analysis[J], Precision engineering,2001,25:35-38
[96]N.Cho, J.F.Tu, Quantitative circularity tolerance analysis and design for 2D precision assemblies[J], Machine tools & manufacture,2002,42:1391-140
[97]Xuzheng David Zhang, A unified functional tolerancing approach for integrated design, manutacturing, and inspection[D], Dissertation for the Degree of Doctor of Philosophy, The Florida State University,2001
[98]Hocken RJ, Raja J, Babu U. Sampling issues in coordinate metrology[J]. Manufacture review, 1993,6:282-294
[99]Huaiqing Wu, Optimal exact design on a circle or a circular arc[J]. The annals ofstatistics 1997, 25(5):2027-2043
[100]G.Lee, J.Mou, and Y.Shen, Sampling strategy design for dimensional measurement of geometric features using coordinate measuring machine[J]. Machine tools & manufacture, 1997,37(7):917-934
[101]F.M.M.chan, T.G.King, K.J.Stout. The influence of feature in coordinate measurement. Measurement[J],1996 sampling strategy on a circular 19(2):73-81.
[102]S.D.Philips, B.Borchardt, etc.The estimation of measurement uncertainty of small circular features measured by coordinate measuring machines.Precision Engineering[J].1998,Vol.22: 87-97
[103]赵前程,邓善熙,张勇.圆柱形状误差的LF模型及其离散辨识方法[J].仪器仪表学报.Vol.27 No.72006(7).P706-710
[104]洪占勇,邓善熙,吕国强.轴类工件的校直参数在线检测方法的研究[J].机械设计与制造.2002(2)：68-70
[105]赵前程；杨天龙；郭迎福.一种高精度在线测量大外径的方法和装置[J].中国机械工程.2010年18期：23-27
[106]赵前程,邓善熙,刘善林.轮廓形状特征建模辨识及其应用[J].计量学报.2005年04期：304-308
[107]赵前程,罗晓莉,邓善熙.基于特征模型的形状误差估计新方法[J].仪器仪表学报,.2007年09期：19-22
[108]翟华.超高精罗拉轴毛坯件的自动综合检测系统[J].纺织学报.2007年12期：35-37
[109]翟华；孙运东；刘燕飞；杠杆式直接测量系统动态特性分析[J].机床与液压,2009年03 期：40-42
[110]翟华,张宏梅,钟华勇,赵韩.自重挠度对大型曲轴校直机在线检测系统的影响[J].中国机械工程.2011年19期：2278-2282
[111]陈永新,柯尊忠,翟华.具有变刚度弹性负载的电液位置伺服系统[J].农业机械学报.200435(4)12-16
[112]陈永新,柯尊忠,陈剑.四通阀控单出杆液压缸动态特性研究[J].机床与液压.200735(7)：77-79
[113]陈永新,柯尊忠,陈剑.精密校直液压机离散电液位置伺服系统的研究[J].中国机械工程.2007年18期：1-6
[114]卢检兵.基于Fuzzy-PID控制算法的校直机电液伺服系统的仿真与应用研究[D].合肥工业大学硕士论文.22-33
[115]丁曙光,吴卫平,桂贵生.基于神经网络PID的液压位置伺服系统控制的研究[J].组合机床与自动化加工技术.2009(3)：21-23
[116]丁曙光,葛治亮桂贵生.基于遗传算法的精密校直机电液伺服系统的仿真研究[J].重型机械.2010(2)：43-45
[117]吴振顺,姚建均,岳东海.模糊自整定PID控制器的设计及其应用[J].哈尔滨工业大学学报.2004 36(11)：1578-1580
[118]邹俊,傅新,杨华勇.免疫PID在液压位置伺服系统中的应用研究[J].机械工程学报.Vol.41.No.1.1-5
[119]翟华.轴类零件校直工艺及其数据库研究[D].合肥工业大学硕士学位论文.1998
[120]刘鸿文编.材料力学[M].北京：高等教育出版社.1985.P136-P176
[121]Zhai H, Zhong Huayong. Research on Roller Straightening Technology System with Multiple Arcs Deformation Based on Weighted Evaluation Function [J], ICEEE2010
[122]Zhai H, Zhong Huayong. Research on crankshaft straightening NP-hard problem based on weighted evaluation function [J], ICIECS 2010
[123]徐芝纶编.弹性力学[M].北京：高等教育出版社.1981.P121-P126
[124]贾乃文.塑性力学.[M]重庆：重庆大学出版社,1992.7 P24-P34
[125]王仁著.塑性变形力学[M].北京：高等教育出版社
[126]J.Margetson. Tensile Stress/Strain Characterization of Non-Linear Materials[J]. Journal of strain analysis, Vol16, No2,1981
[127]L.M.卡恰诺夫著,周承倜译.塑性理论基础[M].北京：高等教育出版社
[128]沃诺克F.V.,本哈姆PP著.固体力学和材料强度[M].第一版.北京：人民教育出版社,1983.P429-P450
[129]J.B.Martin. Plasticity:Fundamentals and General Results. Boston[M]:The MIT Press,1975. P123-145
[130]刘鸿文编.高等材料力学[M].北京：高等教育出版社.1985.P136-P176
[131]黄克智,陆明万,薛明德.弹性薄壳理论[M].北京：高度教育出版社,1998,P39-P80
[132]韩强,黄小清,宁建国等编著.高等板壳理论[M].北京：科学出版社,2002,P52-P85
[133]熊祝华编.塑性力学基础知识[M].北京：高等教育出版社,1986,P1-P42
[134]钟华勇,翟华,李玉宝.锆合金薄壁管三点弯校直中的截面扁化[J].塑性工程学报.2011(4)：19-22
[135]马凤刚.薄壁构件弯曲时横截面的变形[J].新疆工学院学报.VoL.18 No.2,1997(6)
[136]D.C.卡诺普等著.系统动力学[M].北京：机械工业出版社.1985
[137]潘亚东.键合图概论[M].重庆：重庆大学出版社.1990
[138]王运赣,王紫薇著.系统动力学[M].武汉：华中理工大学出版社.1991.7
[139]翟华,高洪编.机械系统仿真原理与应用[M].合肥：合肥工业大学出版社.2008
[140]唐宇慧.圆度误差检测的现状与展望[J].机床与液压.2004(11)：6-8
[141]吴新杰,张丹,李媛,陶崇娥.基于粒子群优化算法处理圆度误差[J].传感技术学报.2007,20(4)：832-834
[142]吴新杰,陈跃宁,许超.基于线性神经网络处理圆度误差[J].电子质量.2007(5)：38-40
[143]LI Zifang, CUI Changcai, CHE Rensheng, HUANG Qingcheng, YE Dong. Comparison of genetic algorithm based evaluation of roundness with evaluation of roundness based on least squared method[J]. Optics and Precision Engineering.2003,11(3):256-261
[144]田树耀.圆度误差的最小二乘法、最小包容区域法和最优函数法评定精度之比较[J].计量技术.2008(7)：63-65
[145]田社平,邵旼.圆度误差的全局评价方法[J].仪器仪表学报.2003,24(8)：10-11
[146]田社平.基于均匀分布的圆度误差评价[J].计量技术.2004(5)：53-55
[147]李敏通,杨青,赵友亮,朱俊平.最小区域法评定圆度误差的一种实现方法[J].西北农林科技大学学报(自然科学版).2003,31(2)：158-160
[148]黄建龙,秦建华,吕汝金,于霞.圆度误差最小区域法数学模型的建立及其测量方法[J]. 兰州理工大学学报.2005,31(2)：40-42
[149]卢巧明.按最小区域法评定圆度误差的优化算法[J].工业计量.2003
[150]李洪人.液压控制系统[J].哈尔滨：哈尔滨工业大学出版社.1981
[151]冯斌.液压油有效体积弹性模量及测量装置的研究[J].浙江大学博士学位论文.2009.P5
[152]诸静等.模糊控制理论与系统原理[M].北京：机械工业出版社.2005.08
[153]陈永新.精校机电液位置伺服系统的研究[D].合肥工业大学博士学位论文.2004.5
[154]佟绍成等.模糊控制系统的设计及稳定性分析[M].北京：科学出版社2004.01
[155]王芳；翟华；钟华勇；江擒虎；自动精密校直机两种机身的比较[J].装备制造技术.2010(6)：19-21