可靠性分析在压电主动杆元桁架结构系统的应用
|
摘要
由于压电材料结构系统具有很多不确定的因素,例如载荷的不确定性；结构中用的材料物理性能数据可能与提供的有所差异；名义尺寸也可能与实际结构不完全一致。因此,对压电材料结构进行随机分析并评价其可靠性就显得非常有必要。本课题应用可靠性理论,进行表面贴有压电片的桁架结构系统的静力可靠性、稳定可靠性、动力可靠性及基于神经网络的可靠性分析。主要有以下几个方面
1)对表面贴有压电片的压电主动杆单元组成的桁架结构,建立其有限元分析模型,其中包括静力分析有限元模型,稳定分析有限元模型和动力分析有限元模型,计算结构在机电耦合作用的内力响应。
2)研究压电杆元的破坏机理,在静力和动力可靠性分析过程中,给出压电杆单元破坏的判断准则,分别写出压电杆基体屈服失效、压电片断裂破坏、胶合层破坏和击穿破坏引起的安全余量表达形式；在稳定可靠性分析中给出了由载荷系数构成的安全余量表达形式,以及不同工况下压电桁架结构系统稳定可靠性分析方法。
3)把压电杆元基体的屈服强度、杆元截面面积和压电片的断裂强度、损伤电场强度、外载荷等为随机变量,研究了安全余量对其求偏导运算公式,采用Taylor展开随机有限元法,给出了安全余量可靠性指标的计算方法；运用可靠性的基本理论,结合压电桁架结构的力学特点,进行压电桁架结构系统的可靠性分析,采用PNET法求出压电桁架结构系统的可靠性指标。
4)借助了神经网络具有较强的函数映射关系,采用正交表的方法设置样本,结合Monte Carlo随机抽样,产生极限状态函数值,进行了基于神经网络的压电桁架结构系统的可靠性分析。
5)编制程序,计算和分析了机电耦合效应和外加电压,对压电片桁架结构系统在静力、稳定和动力方面的可靠性影响,说明了压电桁架结构系统的可靠性优于普通的桁架结构系统,同时也分析压电元件的优化配置对系统可靠性的影响。
For piezoelectric structure system, there are a lot of uncertainty factors, for example, the loads which act on the structure are indeterminate; material data and dimension data provided may be not consistent with that of real structure; Therefore, it is necessary for piezoelectric structure to make stochastic analysis and evaluate its reliability. Static strength reliability, stable reliability, dynamic reliability and reliability based on Neural Networks are analyzed by using the theory of reliability for truss structure with piezoelectric patches affixed to its surface in this paper. The main research works of the paper are as following
1) For the truss structure comprised of piezoelectric active-member with piezoelectric patches affixed to its surface, the finite element model is founded, which includes static force models, stabile models and dynamical models. The responses of internal force under Mech-Electric coupling are calculated.
2) The failure mechanism of the piezoelectric member is discussed. In the process of statics and dynamic reliability analysis, the failure criterion of the piezoelectric member is proposed, safety margin functions of failure modes which are caused by yield failure of piezoelectric elementary body, fracture damage of piezoelectric patches, clue layer destroying and electrical breakdown are established separately, In the process of stabile reliability analysis, safety margin functions which are composed of load coefficient are established and stable reliability analysis method of piezoelectric truss is proposed in different condition.
3) By considering the yield strength of piezoelectric elementary body, area of section, fracture strength and breakdown electric field intensity of the piezoelectric member, loads as stochastic variables, the formula of partial derivative of the safety margin functions is studied, the method of reliability of safe margin is given by adopting Taylor expansion SFEM; Then adopting basic theory of reliability, combining the mechanical character of piezoelectric truss structure, the reliability analysis of piezoelectric truss structure is discussed. At last, the reliability index of piezoelectric truss structure system is got by PNET.
4) By means of Neural Networks which has strong ability of function mapping and using orthogonal table as sample set, combining with Monte Carlo stochastic sampling, the function values of limit state are obtained. Reliability analysis of piezoelectric truss structure based on Neural Network is discussed also.
5) For program compiling, the static force, stabile and dynamical reliability effect of Mech-Electric coupling and external voltage on piezoelectric truss structure are analyzed. The results indicates the reliability of piezoelectric truss structure is better than common structure, and the effect of optimum distribution of piezoelectric member to the reliability of structural system is analyzed.
1)对表面贴有压电片的压电主动杆单元组成的桁架结构,建立其有限元分析模型,其中包括静力分析有限元模型,稳定分析有限元模型和动力分析有限元模型,计算结构在机电耦合作用的内力响应。
2)研究压电杆元的破坏机理,在静力和动力可靠性分析过程中,给出压电杆单元破坏的判断准则,分别写出压电杆基体屈服失效、压电片断裂破坏、胶合层破坏和击穿破坏引起的安全余量表达形式；在稳定可靠性分析中给出了由载荷系数构成的安全余量表达形式,以及不同工况下压电桁架结构系统稳定可靠性分析方法。
3)把压电杆元基体的屈服强度、杆元截面面积和压电片的断裂强度、损伤电场强度、外载荷等为随机变量,研究了安全余量对其求偏导运算公式,采用Taylor展开随机有限元法,给出了安全余量可靠性指标的计算方法；运用可靠性的基本理论,结合压电桁架结构的力学特点,进行压电桁架结构系统的可靠性分析,采用PNET法求出压电桁架结构系统的可靠性指标。
4)借助了神经网络具有较强的函数映射关系,采用正交表的方法设置样本,结合Monte Carlo随机抽样,产生极限状态函数值,进行了基于神经网络的压电桁架结构系统的可靠性分析。
5)编制程序,计算和分析了机电耦合效应和外加电压,对压电片桁架结构系统在静力、稳定和动力方面的可靠性影响,说明了压电桁架结构系统的可靠性优于普通的桁架结构系统,同时也分析压电元件的优化配置对系统可靠性的影响。
For piezoelectric structure system, there are a lot of uncertainty factors, for example, the loads which act on the structure are indeterminate; material data and dimension data provided may be not consistent with that of real structure; Therefore, it is necessary for piezoelectric structure to make stochastic analysis and evaluate its reliability. Static strength reliability, stable reliability, dynamic reliability and reliability based on Neural Networks are analyzed by using the theory of reliability for truss structure with piezoelectric patches affixed to its surface in this paper. The main research works of the paper are as following
1) For the truss structure comprised of piezoelectric active-member with piezoelectric patches affixed to its surface, the finite element model is founded, which includes static force models, stabile models and dynamical models. The responses of internal force under Mech-Electric coupling are calculated.
2) The failure mechanism of the piezoelectric member is discussed. In the process of statics and dynamic reliability analysis, the failure criterion of the piezoelectric member is proposed, safety margin functions of failure modes which are caused by yield failure of piezoelectric elementary body, fracture damage of piezoelectric patches, clue layer destroying and electrical breakdown are established separately, In the process of stabile reliability analysis, safety margin functions which are composed of load coefficient are established and stable reliability analysis method of piezoelectric truss is proposed in different condition.
3) By considering the yield strength of piezoelectric elementary body, area of section, fracture strength and breakdown electric field intensity of the piezoelectric member, loads as stochastic variables, the formula of partial derivative of the safety margin functions is studied, the method of reliability of safe margin is given by adopting Taylor expansion SFEM; Then adopting basic theory of reliability, combining the mechanical character of piezoelectric truss structure, the reliability analysis of piezoelectric truss structure is discussed. At last, the reliability index of piezoelectric truss structure system is got by PNET.
4) By means of Neural Networks which has strong ability of function mapping and using orthogonal table as sample set, combining with Monte Carlo stochastic sampling, the function values of limit state are obtained. Reliability analysis of piezoelectric truss structure based on Neural Network is discussed also.
5) For program compiling, the static force, stabile and dynamical reliability effect of Mech-Electric coupling and external voltage on piezoelectric truss structure are analyzed. The results indicates the reliability of piezoelectric truss structure is better than common structure, and the effect of optimum distribution of piezoelectric member to the reliability of structural system is analyzed.
引文
[1]袁巨龙,袁哲俊.功能陶瓷的超精密加工技术.哈尔滨：哈尔滨工业大学出版社,2004
[2]Jan H S, Andrzej M, Przemyslaw K. Design of Adaptive Structures for Improved Load Capacity. AIAA Journal,1998,36(3):471-476P
[3]Miura K, Furuya H. Adaptive Structure Concept for Future Space Applications. AIAA Journal,1998,26(8):995-1002P
[4]Hughes P C, Sincarsin W G, Carroll K A. "Trussarm"-A Variable-Geometry-Truss Manipulator. Journal of Intelligent Material Systems and Structures,1991,2(2):281-289P
[5]Miura K, Furuya H, Suzuki K. Variable Geomety Truss and Its Applilcations to Deployable Truss and Space Crane Arm. Acta Astronaoutica.1985,12(4):599-607P
[6]Tanaka M, Hanahara K. Stochastic Approach to Static Control of Adaptive Truss under Imperfection of Adjustable Member Lengths. Journal of Intelligent Material Systems and Structures,1992,3(4):617-630P
[7]E. F. Crawley and J. de Luis. Use of Piezoelectic Actuators as Elements of Intelligent Structures. AIAA Jounal,1987,25(10):1373-1385P
[8]E. F. Crawley and J. de Luis. Use of Piezo-ceramics as Distributed Actuators in Large Space Structures. Proceedings of the 26th AIAA SDM Conference, AIAA-85-0626,1985:126-133P
[9]G-S. Chen, B. J. Lurie and B. K. Wada. Experimental Studies of Adaptive Structures for Precision Performance.Proceedings of 30th AIAA SDM Conference,1989, AIAA-89-1327-CP:1462-1472P
[10]C. T. Sun and R. T. Wang. Enhancement of Frequency and Damping in Large Space Structures with Proceedings of 31th AIAA SDM Conferece, 1990,AIAA-90-0950-CP:1907-1913P
[11]李山青,刘正兴,杨耀文.压电材料在智能结构形状合振动中的应用.振动、测试与诊断,1999,29(1)：66-76页
[12]张令弥,智能结构研究的进展与应用.振动、测试与诊断,1998,18(2)：79-84页
[13]唐纪晔.自适应结构变形与振动控制的研究.博士后研究工作报告,北京：北京航空航天大学,1999
[14]聂润免.智能桁架结构静／动态分析与控制.博士学位论文,哈尔滨：哈尔滨工业大学,1996
[15]卢连成,吴琼,张令弥.智能空间桁架结构独立模态控制方法.振动工程学报,1997,10(4)：480-485页
[16]李俊宝.智能桁架结构设计、建模与阻尼控制的理论和试验研究.博士学位论文,南京：南京航空航天大学,1996
[17]路小波,陶云刚等.基于压电元件的智能结构系统建模.振动、测试与诊断,1998,11(1)：79-84页
[18]朱晓锦,陶宝祺等.压电机敏桁架结构振动自适应控制及试验研究,振动、测试与诊断,1998,18(2)：98-102页
[19]邵建义.自适应桁架结构强度研究及其数值模拟.博士学位论文,大连：大连理工大学.2001
[20]高伟.随机参数智能桁架结构振动主动控制研究.博士学位论文,西安：西安电子科技大学,2002
[21]Dimitriadis E K, Fuller C R, Rogers C A. Piezoelectric Actuators for Distributed Vibration excitation of Thin Plates.ASME Journal of Vibration and Acoustics,1991,113(1):100-107P
[22]Hwang W S, Park H C. Finite Element Modeling of Piezoelectric Sensors and Actuators. AIAA journal,1993,31(5):930-937P
[23]Ha S K, Keilers C, Chang F K. Finite Element Analysis of Composite Structure Containing Distributed Piezoceramic Sensors and Actuators. AIAA Journal,1992,30(3):772-780P
[24]贡金鑫,仲伟秋,赵国藩.工程结构可靠性基本理论的发展与应用.建筑结构学报,2002,23(4)：2-9页
[25]赵国藩.工程结构可靠性理论与应用.大连：大连理工大学出版社,1996
[26]Freudenthal A M. The Safety of Structures. Transaction, ASCE.1947,50(2): 112 P
[27]洪华生,邓汉忠.工程规划和设计中的概率概念.北京：北京工业出版社,1985
[28]赵国藩,金伟良,贡金鑫.结构可靠度理论.北京：中国建筑工业出版社,2000
[29]Hasofer A M and Lind N C. Exact and Invariant Second-moment Format. Journal of the Engineering Mechanics,1974,100(1):111-121P
[30]贡金鑫.结构可靠指标求解的一种新的迭代方法.计算结构力学及其应用,1995,(3)：369-373页
[31]贡金鑫,赵国藩.原始随机空间内的结构可靠度分析方法.水利学报,1999,(5)：30-34页
[32]Hasofer A M,Lind N C. An Exact and Invariant First Order Reliability Format. J. Eng. Mech. Div. Asce,1974,100(1):94-98P
[33]贡金鑫,赵国藩.持久性可变荷载与临时性可变荷载组合的解析解及简化计算.工程力学,2001,(6)：174-182页
[34]Yi-Kwei Wen. Statistical Combination of Extreme Loa. Journal of the Structural Division,1977,103(5):112-116
[35]K Breitung and R Rackwitz. Nonlinear Comb ination of Load Processes. Structural Mechanics,1982,10(2):132-135
[36]Daniele Veneziano, Mircea Grigoriu and C Amn Comell. Vector-proces Models for System Reliability. Journal of Engineering Mechanics Division, 1977,103(3):89-93
[37]盖京波,王善,陈新华.刚架系统稳定可靠性分析.强度与环境,2003,30(3)：50-54页
[38]陈琳,刘长海.多失效模式相关的结构系统可靠性分析.北京印刷学院学报,1995(2)：11-15页
[39]陈卫东.结构动力可靠性分析.博士学位论文,哈尔滨：哈尔滨工程大学.2002
[40]胡太彬,陈建军,高伟,马娟.平稳随机激励下随机桁架结构动力可靠性分析.力学学报,2004,36(2)：241-246页
[41]Chen JJ, Duan BY, Zen YG. Study on dynamic reliability analysis of the structures with multidegree-of-freedom system. Computers & structures, 1997,62(5):877-881P
[42]李桂青,曹宏.动力可靠性述评.地震工程振动,1983,3(3)：42-61页
[43]Chen JJ, Chen JW, Sun HA, et al. Probabilistic dynamic analysis of truss structures. Structural Engineering & Mechanics,2002,13(2):231-239P
[44]Astill H. Impact Loading on Structures with Random Properties. J of Struct Mech.,1972,1(1):63-67P
[45]Shinozuka M, Lenoe E. A Probabistic Model for Spatial Distribution of Material Properties. Fracture Mech.,1976,8:217-227P
[46]Su Y L, Wang Y J, Stefanko R. Finite Element Analysis of Underground Stresses Utilizing Stochastically Simulated Material Properties. In: Proceeding of 11st U. S Symposium on Rock Mechanics, Callfornia.1969: 49-61P
[47]Cambon B. Application of First-Order Uncertainty Analysis in the Finite Element Method in Linear Elasticity. In:Proc of 2nd Int Conf on Application of Sttistic and Structural Engineering. Aachen.1975:67-87P
[48]Dendron B A, Houstis E N. AnInference Finite Element Method for Field Application. Applied Mathematical Modeling. Guidford, Englad,1978: 49-55P
[49]Baecher G B, Ingra T S.Stochastic FEM in Settiement Predictions. J of Geotech Eng.,1981,107(2):449-463P
[50]Handa K, Anderson K A. Application of Finite Element Method in Statistical Anlysis of Structures. In:Proc 3rd Int Conf on Struct Safety and Reliability. Trondheim, Nroway, Hune,1981:409-417P
[51]Hisada T, Nakagiri S. Stochastic Finite Element Method Developd for Struct. Safety and Reliability. In:Proc.3rd Int Conf on Struct Safety and Reliability, Trodheim, Norway,1981:395-408P
[52]Nakagiri S, Hisada T. Stochastic Finite Element Method Applied to Structural Analysis with Uncertain Parameters. In:Proc. Int Conf on FEM, Australia,1982:206-211P
[53]Hisada T, Nakagiri S. Role of Stochastic Finite Element Method Developd for Struct. Safety and Reliability. In:Proc.4th Int Conf on Struct Safety and Reliability, Kobe, Japan.1985:213-219P
[54]Shinozuka M, Deodatis G. Response Variability of Stochastic Finite Elemen Systems. J of Eng. Mech.,1988:114(3):499-519P
[55]Yamazaki F, Shinozuka M, Dasgupta G. Neumann Expansion for Stochastic Finite Elemen Analysis. J. of Eng. Mech., ASCE,1988,11(8):1335-1354P
[56]吴世伟,李同春.重力坝最大可能失效模式初探.水利学报,1990,(4)：36-44页
[57]李同春,吴世伟.基于三维SFEM的拱坝可靠度分析.工程结构可靠性全国第二届学术交流会议论文集,重庆：1989：114-125页
[58]吴世伟.结构可靠性分析.北京：交通出版社,1988
[59]武清,吴世伟,吕泰仁.基于有限元法的重力坝可靠度分析.水利学报,1990(1)：39-45页
[60]吴世伟.拱坝的失效模式与可靠度.河海大学学报,1992,20(2)：88-96页
[61]Liu N, Wang Y, Wu S W. Reliability Analysis of Gravity Dam with Weak layers. In:Proc of Int Sym on Application of Computer Methods in Rock Methods in Rock Mechanics and Engineering. Xian, P. R. China,1993: 1265-1270P
[62]陈虬,刘先斌.随机有限元法及其工程应用.成都：西南交大出版社,1993
[63]秦权.随机有限元及其进展I：随机场的离散和反应矩的计算.工程力学,1994.11(4)：1-10页
[64]秦权.随机有限元及其进展II：可靠度随机有限元和随机有限元的应用.工程力学,1995.12(1)：1-9页
[65]刘宁,吕泰仁.随机有限元及其工程应用.力学进展,1995.25(1)：114-126页
[66]朱位秋,任永坚.随机场的局部平均与随机有限元.航空学报,1986,7(6)：604-611页
[67]朱位秋,任永坚.基于随机场局部平均的随机有限元法.固体力学学报,1988,(4)：261-271页
[68]刘更,吴立盲.概率有限元基本理论的建立与发展.机械科学与技术,1991,(2)：12-17页
[69]温卫东,高德平.随机有限元方程一般式的两种推导方法.南京航空航天大学学报,1993,25(6)：832-838页
[70]曹最慧.随机有限元在锚扦围岩结构可靠度丹析中的应用.第二届全国青年岩石力学与工翟学术研讨会论文集,北京,1993：193-198页
[71]崔海涛,周厚强,彭兆行.基于随机有限元法的山东某煤矿主井井架强度的可靠性分析.计算力学学报,1997,14(3)：332-335页
[72]崔海涛,彭兆行.机械强度可靠度计算的随机有限元法.机械科学与技术,1997,(5)：3-5页
[73]李毒强.随机有限单元法在重力坝可靠度分析中的应用.[博士学位论文],北京：清华大学,1989
[74]吕泰仁,何慧莉,吴世伟.结构自振频率的统计特性.工程结构可靠性全国第三届学术交漉会议论文集,南京,1992：368-372页
[75]陈厚群,粱爱虎.重力坝动力可靠虞的随机有限元分析方法.工程结构可靠性全国第三届学术交流会议论文集,南京,1992：324-331页
[76]曹宏,李秋胜,李芝耗.随机结构动力反应和可靠性分析.应用数学和力学,1993,(10)：931-937页
[77]高行山,张汝清.有限变形弹性理论随机变量变分原理及有限元法.应用数学和力学,1994,(10)：855-862页
[78]张汝清,高行山.随机变量的变分原理及有限元法.应用数学和力学,1992,(5)：383-388页
[79]赵冒.陈虬.结构动力分析的随机变分原理及随机有限元法计算力学学报,1998,(3)：263-274页
[80]刘宁.地下洞室群围岩稳定的非线性随机有限元分析及可靠度计算.固体力学学报,1999,(20)：186-190页
[81]姚耀武,申超.非线性随机有限元法及其在可靠度分析中的应用.岩土工程学报,1996,18(2)：37-46页
[82]龚晓南,钱纯.非线性随机过程的有限元分析.计算结构力学及其应用,1994,11(1)：9-18页
[83]刘宁.三维可分向量随机场局部平均的三维随机有限元及可靠度计算.水利学报,1995,(6)：75-82页
[84]安伟光等.基于随机有限元法舰船结构可靠性分析与优化设计.科技报告，2002
[85]杨多和,安伟光,王滨生,苗晗.具有多随机参数的压电桁架结构可靠 性初探.兵工学报,2006,27(2)：320-324页
[86]YANG Duo-he, AN Wei-guang, Zhu Rong-rong, MIAO Han. Reliability Analysis of Piezoelectric Truss Structures under joint action of electric load and mechanical load. Journal of China Oranance,2006,2(3):161-164
[87]安伟光,苗晗,孙克淋.压电桁架结构的稳定可靠性分析.哈尔滨工程大学学报,2006,27(4)：519-522页
[88]杨多和,安伟光,苗晗.压电桁架结构在电载荷和机械载荷联合作用下的可靠性分析.哈尔滨工程大学学报,2007,28(4)：388-391页
[89]AN Wei-guang. The Reliability Analysis for Piezoelectric Truss Structure in Consideration of Electroelastic Damage. Fracture and Damage Mechanics V, 2006
[90]A. H.-S. A, Tang W H. Probability Concepts in Eng neering Planning and Design. John wiley and Sons,1984
[91]Thoft-Christensen P, Murostu Y. Application of Structural Systems Reliability Theory. Berlin:Springer-Verlag,1986
[92]Rackwitz R, Fiessier B. An Algorithm for Calculation of Structural Reliability under Combined Loading. Munchen,1977
[93]安伟光,朱卫兵,严心池.随机有限元法在不确定性分析中的应用.哈尔滨工程大学学报,2002,23(1)：132-135页
[94]安伟光,蔡荫林,陈卫东.随机结构系统可靠性分析与优化设计.哈尔滨：哈尔滨工程大学等五大出版社,2004
[95]Ditlevsen O. Narrow Reliability Bounds for Strnctural System. J.Struc. Mech.,1979,7(4):453-472P
[96]Feng Y S. A Method for Computing Structural System Reliability with High Accuracy. Computers and Structures,1989,33(1):1-5P
[97]Bncher C G, Bourgund U. A Fast Efficient Response Surface Approach for Structural Reliability Problem. Strnctnral Safety,1990, (7):57-66P
[98]Palle Thoft-Christensen, Yoshisada, Murotsu. Application of Structural Structural Systems Reliability Theory. Springer-Verlag, Berlin Heidelberg, New York, Tokyo 1985
[99]冯元生.结构体系可靠性分析与设计.西安：西北工业大学出版社,1989
[100]Melchers R E, Tang L K. Dominant Failure Models in Stochastic Systems. Strnctnral Safety,1984(2):127-143P
[101]蔡荫林,安伟光,陈卫东.空间桁架结构基于可靠性的优化设计.第六界空间结构学术会议论文集,北京：地震出版社,1992
[102]陶宝棋.智能材料结构.北京：国防工业出版社,1997
[103]张俊华.压电耦和结构的主动控制与试验研究.博士学位论文,南京：南京航空航天大学,1996
[104]苗晗.压电桁架结构的可靠性分析.硕士学位论文,哈尔滨：哈尔滨工程大学
[105]王晓明,沈亚鹏,尹林.机敏材料和机敏结构的力学分析.力学进展,1995,25(2)：209-220页
[106]杨卫.力电失效学.北京：清华大学出版社,2001
[107]刘宁.可靠度,随机有限元法及其工程应用.南京：中国水利水电出版社,2000
[108]安伟光.结构系统可靠性和基于可靠性的优化设计.北京：国防工业出版社,1997
[109]龙驭球,包世华.结构力学教程(下册).北京：高等教育出版社,1988
[110]刘光栋,罗汉泉.杆系结构稳定.北京：人民交通出版社,1988
[111]秦荣.智能结构力学.北京：科学出版社,2005
[112]邓洪洲,史天录,杨庆雄.结构系统动力可靠性分析.中国机械工程,1995(6)：20-22页
[113]杨多和,安伟光,李铁钧.基于人工神经网络的结构可靠性分析.兵工 学报,2007,28(4)：495-498页
[114]刘伟才,张伟.自适应神经网络在结构近似分析方法中的应用.工程力学,1997,14(2)：91-94页
[115]丛爽.面向MATLAB工具箱的神经网络理论与应用.北京：中国科技大学出版社,1999：20-36页
[116]阎平凡,张长水.人工神经网络与模拟进化计算.北京：清华大学出版社,2000：66-82页
[117]王旭,王宏,王文辉.人工神经元网络原理与应用.沈阳：东北大学出版社,2000,85-89页
[118]许东,吴铮.基于MATLAB6.x的系统分析与设计—神经网络.西安：西安电子科技大学出版社,2002：75-96页
[119]周开利,康耀红.神经网络模型及其MATLAB仿真程序设计.北京：清华大学出版社,2005：69-100页
[120]董长虹.Matlab神经网络与应用.北京：国防工业出版社,2007：64-120页
[121]周毅,徐柏龄.神经网络中的正交设计法研究.南京大学学报,2001,137(1)：72-78页
[122]姜同川.正交实验设计.济南：山东科学技术出版社,1985：46-57页
[123]赵维涛,安伟光,吴香国.结构系统静强度和疲劳的失效机理及可靠性分析.力学学报,2005,37(5)：662-666页
[2]Jan H S, Andrzej M, Przemyslaw K. Design of Adaptive Structures for Improved Load Capacity. AIAA Journal,1998,36(3):471-476P
[3]Miura K, Furuya H. Adaptive Structure Concept for Future Space Applications. AIAA Journal,1998,26(8):995-1002P
[4]Hughes P C, Sincarsin W G, Carroll K A. "Trussarm"-A Variable-Geometry-Truss Manipulator. Journal of Intelligent Material Systems and Structures,1991,2(2):281-289P
[5]Miura K, Furuya H, Suzuki K. Variable Geomety Truss and Its Applilcations to Deployable Truss and Space Crane Arm. Acta Astronaoutica.1985,12(4):599-607P
[6]Tanaka M, Hanahara K. Stochastic Approach to Static Control of Adaptive Truss under Imperfection of Adjustable Member Lengths. Journal of Intelligent Material Systems and Structures,1992,3(4):617-630P
[7]E. F. Crawley and J. de Luis. Use of Piezoelectic Actuators as Elements of Intelligent Structures. AIAA Jounal,1987,25(10):1373-1385P
[8]E. F. Crawley and J. de Luis. Use of Piezo-ceramics as Distributed Actuators in Large Space Structures. Proceedings of the 26th AIAA SDM Conference, AIAA-85-0626,1985:126-133P
[9]G-S. Chen, B. J. Lurie and B. K. Wada. Experimental Studies of Adaptive Structures for Precision Performance.Proceedings of 30th AIAA SDM Conference,1989, AIAA-89-1327-CP:1462-1472P
[10]C. T. Sun and R. T. Wang. Enhancement of Frequency and Damping in Large Space Structures with Proceedings of 31th AIAA SDM Conferece, 1990,AIAA-90-0950-CP:1907-1913P
[11]李山青,刘正兴,杨耀文.压电材料在智能结构形状合振动中的应用.振动、测试与诊断,1999,29(1)：66-76页
[12]张令弥,智能结构研究的进展与应用.振动、测试与诊断,1998,18(2)：79-84页
[13]唐纪晔.自适应结构变形与振动控制的研究.博士后研究工作报告,北京：北京航空航天大学,1999
[14]聂润免.智能桁架结构静／动态分析与控制.博士学位论文,哈尔滨：哈尔滨工业大学,1996
[15]卢连成,吴琼,张令弥.智能空间桁架结构独立模态控制方法.振动工程学报,1997,10(4)：480-485页
[16]李俊宝.智能桁架结构设计、建模与阻尼控制的理论和试验研究.博士学位论文,南京：南京航空航天大学,1996
[17]路小波,陶云刚等.基于压电元件的智能结构系统建模.振动、测试与诊断,1998,11(1)：79-84页
[18]朱晓锦,陶宝祺等.压电机敏桁架结构振动自适应控制及试验研究,振动、测试与诊断,1998,18(2)：98-102页
[19]邵建义.自适应桁架结构强度研究及其数值模拟.博士学位论文,大连：大连理工大学.2001
[20]高伟.随机参数智能桁架结构振动主动控制研究.博士学位论文,西安：西安电子科技大学,2002
[21]Dimitriadis E K, Fuller C R, Rogers C A. Piezoelectric Actuators for Distributed Vibration excitation of Thin Plates.ASME Journal of Vibration and Acoustics,1991,113(1):100-107P
[22]Hwang W S, Park H C. Finite Element Modeling of Piezoelectric Sensors and Actuators. AIAA journal,1993,31(5):930-937P
[23]Ha S K, Keilers C, Chang F K. Finite Element Analysis of Composite Structure Containing Distributed Piezoceramic Sensors and Actuators. AIAA Journal,1992,30(3):772-780P
[24]贡金鑫,仲伟秋,赵国藩.工程结构可靠性基本理论的发展与应用.建筑结构学报,2002,23(4)：2-9页
[25]赵国藩.工程结构可靠性理论与应用.大连：大连理工大学出版社,1996
[26]Freudenthal A M. The Safety of Structures. Transaction, ASCE.1947,50(2): 112 P
[27]洪华生,邓汉忠.工程规划和设计中的概率概念.北京：北京工业出版社,1985
[28]赵国藩,金伟良,贡金鑫.结构可靠度理论.北京：中国建筑工业出版社,2000
[29]Hasofer A M and Lind N C. Exact and Invariant Second-moment Format. Journal of the Engineering Mechanics,1974,100(1):111-121P
[30]贡金鑫.结构可靠指标求解的一种新的迭代方法.计算结构力学及其应用,1995,(3)：369-373页
[31]贡金鑫,赵国藩.原始随机空间内的结构可靠度分析方法.水利学报,1999,(5)：30-34页
[32]Hasofer A M,Lind N C. An Exact and Invariant First Order Reliability Format. J. Eng. Mech. Div. Asce,1974,100(1):94-98P
[33]贡金鑫,赵国藩.持久性可变荷载与临时性可变荷载组合的解析解及简化计算.工程力学,2001,(6)：174-182页
[34]Yi-Kwei Wen. Statistical Combination of Extreme Loa. Journal of the Structural Division,1977,103(5):112-116
[35]K Breitung and R Rackwitz. Nonlinear Comb ination of Load Processes. Structural Mechanics,1982,10(2):132-135
[36]Daniele Veneziano, Mircea Grigoriu and C Amn Comell. Vector-proces Models for System Reliability. Journal of Engineering Mechanics Division, 1977,103(3):89-93
[37]盖京波,王善,陈新华.刚架系统稳定可靠性分析.强度与环境,2003,30(3)：50-54页
[38]陈琳,刘长海.多失效模式相关的结构系统可靠性分析.北京印刷学院学报,1995(2)：11-15页
[39]陈卫东.结构动力可靠性分析.博士学位论文,哈尔滨：哈尔滨工程大学.2002
[40]胡太彬,陈建军,高伟,马娟.平稳随机激励下随机桁架结构动力可靠性分析.力学学报,2004,36(2)：241-246页
[41]Chen JJ, Duan BY, Zen YG. Study on dynamic reliability analysis of the structures with multidegree-of-freedom system. Computers & structures, 1997,62(5):877-881P
[42]李桂青,曹宏.动力可靠性述评.地震工程振动,1983,3(3)：42-61页
[43]Chen JJ, Chen JW, Sun HA, et al. Probabilistic dynamic analysis of truss structures. Structural Engineering & Mechanics,2002,13(2):231-239P
[44]Astill H. Impact Loading on Structures with Random Properties. J of Struct Mech.,1972,1(1):63-67P
[45]Shinozuka M, Lenoe E. A Probabistic Model for Spatial Distribution of Material Properties. Fracture Mech.,1976,8:217-227P
[46]Su Y L, Wang Y J, Stefanko R. Finite Element Analysis of Underground Stresses Utilizing Stochastically Simulated Material Properties. In: Proceeding of 11st U. S Symposium on Rock Mechanics, Callfornia.1969: 49-61P
[47]Cambon B. Application of First-Order Uncertainty Analysis in the Finite Element Method in Linear Elasticity. In:Proc of 2nd Int Conf on Application of Sttistic and Structural Engineering. Aachen.1975:67-87P
[48]Dendron B A, Houstis E N. AnInference Finite Element Method for Field Application. Applied Mathematical Modeling. Guidford, Englad,1978: 49-55P
[49]Baecher G B, Ingra T S.Stochastic FEM in Settiement Predictions. J of Geotech Eng.,1981,107(2):449-463P
[50]Handa K, Anderson K A. Application of Finite Element Method in Statistical Anlysis of Structures. In:Proc 3rd Int Conf on Struct Safety and Reliability. Trondheim, Nroway, Hune,1981:409-417P
[51]Hisada T, Nakagiri S. Stochastic Finite Element Method Developd for Struct. Safety and Reliability. In:Proc.3rd Int Conf on Struct Safety and Reliability, Trodheim, Norway,1981:395-408P
[52]Nakagiri S, Hisada T. Stochastic Finite Element Method Applied to Structural Analysis with Uncertain Parameters. In:Proc. Int Conf on FEM, Australia,1982:206-211P
[53]Hisada T, Nakagiri S. Role of Stochastic Finite Element Method Developd for Struct. Safety and Reliability. In:Proc.4th Int Conf on Struct Safety and Reliability, Kobe, Japan.1985:213-219P
[54]Shinozuka M, Deodatis G. Response Variability of Stochastic Finite Elemen Systems. J of Eng. Mech.,1988:114(3):499-519P
[55]Yamazaki F, Shinozuka M, Dasgupta G. Neumann Expansion for Stochastic Finite Elemen Analysis. J. of Eng. Mech., ASCE,1988,11(8):1335-1354P
[56]吴世伟,李同春.重力坝最大可能失效模式初探.水利学报,1990,(4)：36-44页
[57]李同春,吴世伟.基于三维SFEM的拱坝可靠度分析.工程结构可靠性全国第二届学术交流会议论文集,重庆：1989：114-125页
[58]吴世伟.结构可靠性分析.北京：交通出版社,1988
[59]武清,吴世伟,吕泰仁.基于有限元法的重力坝可靠度分析.水利学报,1990(1)：39-45页
[60]吴世伟.拱坝的失效模式与可靠度.河海大学学报,1992,20(2)：88-96页
[61]Liu N, Wang Y, Wu S W. Reliability Analysis of Gravity Dam with Weak layers. In:Proc of Int Sym on Application of Computer Methods in Rock Methods in Rock Mechanics and Engineering. Xian, P. R. China,1993: 1265-1270P
[62]陈虬,刘先斌.随机有限元法及其工程应用.成都：西南交大出版社,1993
[63]秦权.随机有限元及其进展I：随机场的离散和反应矩的计算.工程力学,1994.11(4)：1-10页
[64]秦权.随机有限元及其进展II：可靠度随机有限元和随机有限元的应用.工程力学,1995.12(1)：1-9页
[65]刘宁,吕泰仁.随机有限元及其工程应用.力学进展,1995.25(1)：114-126页
[66]朱位秋,任永坚.随机场的局部平均与随机有限元.航空学报,1986,7(6)：604-611页
[67]朱位秋,任永坚.基于随机场局部平均的随机有限元法.固体力学学报,1988,(4)：261-271页
[68]刘更,吴立盲.概率有限元基本理论的建立与发展.机械科学与技术,1991,(2)：12-17页
[69]温卫东,高德平.随机有限元方程一般式的两种推导方法.南京航空航天大学学报,1993,25(6)：832-838页
[70]曹最慧.随机有限元在锚扦围岩结构可靠度丹析中的应用.第二届全国青年岩石力学与工翟学术研讨会论文集,北京,1993：193-198页
[71]崔海涛,周厚强,彭兆行.基于随机有限元法的山东某煤矿主井井架强度的可靠性分析.计算力学学报,1997,14(3)：332-335页
[72]崔海涛,彭兆行.机械强度可靠度计算的随机有限元法.机械科学与技术,1997,(5)：3-5页
[73]李毒强.随机有限单元法在重力坝可靠度分析中的应用.[博士学位论文],北京：清华大学,1989
[74]吕泰仁,何慧莉,吴世伟.结构自振频率的统计特性.工程结构可靠性全国第三届学术交漉会议论文集,南京,1992：368-372页
[75]陈厚群,粱爱虎.重力坝动力可靠虞的随机有限元分析方法.工程结构可靠性全国第三届学术交流会议论文集,南京,1992：324-331页
[76]曹宏,李秋胜,李芝耗.随机结构动力反应和可靠性分析.应用数学和力学,1993,(10)：931-937页
[77]高行山,张汝清.有限变形弹性理论随机变量变分原理及有限元法.应用数学和力学,1994,(10)：855-862页
[78]张汝清,高行山.随机变量的变分原理及有限元法.应用数学和力学,1992,(5)：383-388页
[79]赵冒.陈虬.结构动力分析的随机变分原理及随机有限元法计算力学学报,1998,(3)：263-274页
[80]刘宁.地下洞室群围岩稳定的非线性随机有限元分析及可靠度计算.固体力学学报,1999,(20)：186-190页
[81]姚耀武,申超.非线性随机有限元法及其在可靠度分析中的应用.岩土工程学报,1996,18(2)：37-46页
[82]龚晓南,钱纯.非线性随机过程的有限元分析.计算结构力学及其应用,1994,11(1)：9-18页
[83]刘宁.三维可分向量随机场局部平均的三维随机有限元及可靠度计算.水利学报,1995,(6)：75-82页
[84]安伟光等.基于随机有限元法舰船结构可靠性分析与优化设计.科技报告，2002
[85]杨多和,安伟光,王滨生,苗晗.具有多随机参数的压电桁架结构可靠 性初探.兵工学报,2006,27(2)：320-324页
[86]YANG Duo-he, AN Wei-guang, Zhu Rong-rong, MIAO Han. Reliability Analysis of Piezoelectric Truss Structures under joint action of electric load and mechanical load. Journal of China Oranance,2006,2(3):161-164
[87]安伟光,苗晗,孙克淋.压电桁架结构的稳定可靠性分析.哈尔滨工程大学学报,2006,27(4)：519-522页
[88]杨多和,安伟光,苗晗.压电桁架结构在电载荷和机械载荷联合作用下的可靠性分析.哈尔滨工程大学学报,2007,28(4)：388-391页
[89]AN Wei-guang. The Reliability Analysis for Piezoelectric Truss Structure in Consideration of Electroelastic Damage. Fracture and Damage Mechanics V, 2006
[90]A. H.-S. A, Tang W H. Probability Concepts in Eng neering Planning and Design. John wiley and Sons,1984
[91]Thoft-Christensen P, Murostu Y. Application of Structural Systems Reliability Theory. Berlin:Springer-Verlag,1986
[92]Rackwitz R, Fiessier B. An Algorithm for Calculation of Structural Reliability under Combined Loading. Munchen,1977
[93]安伟光,朱卫兵,严心池.随机有限元法在不确定性分析中的应用.哈尔滨工程大学学报,2002,23(1)：132-135页
[94]安伟光,蔡荫林,陈卫东.随机结构系统可靠性分析与优化设计.哈尔滨：哈尔滨工程大学等五大出版社,2004
[95]Ditlevsen O. Narrow Reliability Bounds for Strnctural System. J.Struc. Mech.,1979,7(4):453-472P
[96]Feng Y S. A Method for Computing Structural System Reliability with High Accuracy. Computers and Structures,1989,33(1):1-5P
[97]Bncher C G, Bourgund U. A Fast Efficient Response Surface Approach for Structural Reliability Problem. Strnctnral Safety,1990, (7):57-66P
[98]Palle Thoft-Christensen, Yoshisada, Murotsu. Application of Structural Structural Systems Reliability Theory. Springer-Verlag, Berlin Heidelberg, New York, Tokyo 1985
[99]冯元生.结构体系可靠性分析与设计.西安：西北工业大学出版社,1989
[100]Melchers R E, Tang L K. Dominant Failure Models in Stochastic Systems. Strnctnral Safety,1984(2):127-143P
[101]蔡荫林,安伟光,陈卫东.空间桁架结构基于可靠性的优化设计.第六界空间结构学术会议论文集,北京：地震出版社,1992
[102]陶宝棋.智能材料结构.北京：国防工业出版社,1997
[103]张俊华.压电耦和结构的主动控制与试验研究.博士学位论文,南京：南京航空航天大学,1996
[104]苗晗.压电桁架结构的可靠性分析.硕士学位论文,哈尔滨：哈尔滨工程大学
[105]王晓明,沈亚鹏,尹林.机敏材料和机敏结构的力学分析.力学进展,1995,25(2)：209-220页
[106]杨卫.力电失效学.北京：清华大学出版社,2001
[107]刘宁.可靠度,随机有限元法及其工程应用.南京：中国水利水电出版社,2000
[108]安伟光.结构系统可靠性和基于可靠性的优化设计.北京：国防工业出版社,1997
[109]龙驭球,包世华.结构力学教程(下册).北京：高等教育出版社,1988
[110]刘光栋,罗汉泉.杆系结构稳定.北京：人民交通出版社,1988
[111]秦荣.智能结构力学.北京：科学出版社,2005
[112]邓洪洲,史天录,杨庆雄.结构系统动力可靠性分析.中国机械工程,1995(6)：20-22页
[113]杨多和,安伟光,李铁钧.基于人工神经网络的结构可靠性分析.兵工 学报,2007,28(4)：495-498页
[114]刘伟才,张伟.自适应神经网络在结构近似分析方法中的应用.工程力学,1997,14(2)：91-94页
[115]丛爽.面向MATLAB工具箱的神经网络理论与应用.北京：中国科技大学出版社,1999：20-36页
[116]阎平凡,张长水.人工神经网络与模拟进化计算.北京：清华大学出版社,2000：66-82页
[117]王旭,王宏,王文辉.人工神经元网络原理与应用.沈阳：东北大学出版社,2000,85-89页
[118]许东,吴铮.基于MATLAB6.x的系统分析与设计—神经网络.西安：西安电子科技大学出版社,2002：75-96页
[119]周开利,康耀红.神经网络模型及其MATLAB仿真程序设计.北京：清华大学出版社,2005：69-100页
[120]董长虹.Matlab神经网络与应用.北京：国防工业出版社,2007：64-120页
[121]周毅,徐柏龄.神经网络中的正交设计法研究.南京大学学报,2001,137(1)：72-78页
[122]姜同川.正交实验设计.济南：山东科学技术出版社,1985：46-57页
[123]赵维涛,安伟光,吴香国.结构系统静强度和疲劳的失效机理及可靠性分析.力学学报,2005,37(5)：662-666页
© 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 |