面向对象的有限元方法在随机参数结构分析中的应用
|
摘要
结构计算分析在工程应用和研究中占有相当大的比重，随着计算机技术的快速发展，结构的计算分析技术有了相当大的提高。目前，国内外已研制出许多功能强大的结构分析程序，如ANSYS、SAP、ADINA、ABAQUS、STRAND等。但是，这些结构分析软件不可能解决所有问题，而且，随着工程技术的发展和研究的深入，还会不断涌现出新的待解问题。
结构分析程序所涉及的计算内容繁多，以传统的结构化编程方式编制结构分析程序需花费大量的工时，在可扩充性和代码可重用性方面受到许多制约。面向对象编程技术的出现，使软件编程摆脱了这些不利因素。由于采用了统一的对象分类方法，编程人员可通过继承方式派生出新的对象类，在新对象类中添加新的操作功能，建立满足自己特定需求的程序。
随着科学技术的发展，对大量日趋复杂的工程结构提出了进行细致的符合实际的静力分析和动力分析的要求。在结构的计算分析时要充分考虑随机参数对于结构响应的影响。随着计算机的发展和普及，对于大型复杂结构的随机有限元分析成为可能。
在数值分析领域，国内、外的一些学者研究了如何将面向对象方法应用于有限元分析。这些研究各有侧重，主要集中在方法学角度和面向对象矩阵类库的构建上，应用于大型复杂结构分析中的研究还比较少见。本文结合随机参数结构的有限元分析方法的特点，详细探讨了面向对象有限元技术的具体实现方法。
The research in application of structural analysis has quite proportions in the research of engineer application. Along with the computer fast developing, structural analysis technology has been enhanced correspondingly. At present, some scholars have developed many structural analysis softwares with powerful functions, such as ANSYS, SAP, ADINA, ABAQUS, STRAND etc. However, these structural analysis softwares can not offer all means to any problem. And along with engineer technology developing, there will be some problems demanding solved ceaselessly.
Structural analysis programe involves mass computations which need a great deal of time designing by traditional ways. The traditional programe design methods have so many limitation in espansion and repetition of codes. Software design hasn't these disadvantages any more according with the appearance of Object-Oriented programming technology. Owing to unite Object-Classfied method, programmer can get new class by successive way. We can append new functions in class and design ourselves programme.
According to science and technology developing, there are some demands of practical analysis answering for lots of structures. We should take stochastic parameters into account. And computer technology makes it possible for us to analyze complicated structures with stochastic parameters.
In numerical value analysis fields, some scholars research how to combine Object-Oriented programming with finite element method. These researchs mostly focus oh methodology and establishment of Object-Oriented matrix. The research of its application to complicated structures is relatively infrequent. This research works is mainly concerned with the application of Object-Orehted finite element method in analysis of structures with stochastic parameters.
结构分析程序所涉及的计算内容繁多，以传统的结构化编程方式编制结构分析程序需花费大量的工时，在可扩充性和代码可重用性方面受到许多制约。面向对象编程技术的出现，使软件编程摆脱了这些不利因素。由于采用了统一的对象分类方法，编程人员可通过继承方式派生出新的对象类，在新对象类中添加新的操作功能，建立满足自己特定需求的程序。
随着科学技术的发展，对大量日趋复杂的工程结构提出了进行细致的符合实际的静力分析和动力分析的要求。在结构的计算分析时要充分考虑随机参数对于结构响应的影响。随着计算机的发展和普及，对于大型复杂结构的随机有限元分析成为可能。
在数值分析领域，国内、外的一些学者研究了如何将面向对象方法应用于有限元分析。这些研究各有侧重，主要集中在方法学角度和面向对象矩阵类库的构建上，应用于大型复杂结构分析中的研究还比较少见。本文结合随机参数结构的有限元分析方法的特点，详细探讨了面向对象有限元技术的具体实现方法。
The research in application of structural analysis has quite proportions in the research of engineer application. Along with the computer fast developing, structural analysis technology has been enhanced correspondingly. At present, some scholars have developed many structural analysis softwares with powerful functions, such as ANSYS, SAP, ADINA, ABAQUS, STRAND etc. However, these structural analysis softwares can not offer all means to any problem. And along with engineer technology developing, there will be some problems demanding solved ceaselessly.
Structural analysis programe involves mass computations which need a great deal of time designing by traditional ways. The traditional programe design methods have so many limitation in espansion and repetition of codes. Software design hasn't these disadvantages any more according with the appearance of Object-Oriented programming technology. Owing to unite Object-Classfied method, programmer can get new class by successive way. We can append new functions in class and design ourselves programme.
According to science and technology developing, there are some demands of practical analysis answering for lots of structures. We should take stochastic parameters into account. And computer technology makes it possible for us to analyze complicated structures with stochastic parameters.
In numerical value analysis fields, some scholars research how to combine Object-Oriented programming with finite element method. These researchs mostly focus oh methodology and establishment of Object-Oriented matrix. The research of its application to complicated structures is relatively infrequent. This research works is mainly concerned with the application of Object-Orehted finite element method in analysis of structures with stochastic parameters.
引文
[1] 崔俊之．现代有限元软件方法．北京：国防工业出版社，1995．
[2] 刘宁．可靠度随机有限元法及其工程应用．北京：中国水利水电出版社，2001
[3] 陈虬，刘先斌．随机有限元法及其工程应用．西南交通大学出版社，1993，11
[4] Collins J. D . & Thomson W . T . , The eigenvalue problem for structural system with statistical propries, AIAAJ, Vol. 7, No. 4,1969:642-648
[5] Hisada. T .&Nakagiri. S.,Role of the stochastic FEM in structrural salty and reliability, Kobe, Japan, May 1981
[6] Hisada. T.&Nakagiri. S.,Stochastic FEM developed for structural safty and reliability in proceerings. The 3nd International Conference on Structural Safty and Reliability, Trordheim, Norway, Jun, 1981
[7] Hisada. T,&Nakagiri.S.,&Mashimo. M.,A Note on stochastic FEM (Part-10)on dimensional invariance of advanced first-order second-monment reliability index in analysis in continuum, Seisan-kenkeyu,Institude of industrial science, University of Tokyo, Japan, 1985
[8] Hisada. T.,Nakagiri. S.&Nagasaki. T.,Stochastic finite element analysis of uncertain intrarsic stress caused by structural misfits in transactions, 7th international Conference on Structural Mechanics in Reactor Technology, Chicgo, Illiriois, August, 1983
[9] Nakagiri. S., &Hisada. T.,A note on stochastic FEM(Part-6)of application in problems of uncertain elastic foundation, Seisan-Kenkyu, Institude of industrial science, University of Tokyo, Japan, 1983
[10] Vanmarcke E.H.,Random fields:analysis and synthesis, the MIT press, 1983
[11] Vanmarcke E.H.&Grigoriu M.,Stochastic finite element analysis of simple, beams ASME, J. Eng. Mech. Div.,109(5),1983
[12] Vanmarcke E.H. etal, Random field and stochastic finite
elements, Structural Safty, 3,1986
[13] Liu W.K.,etal,Variational approach to probabiliatic finite elements, J. Engrg. Mech.,ASCE, Vol. 114, No. 12,1984
[14] 周益军，吴巨龙．机械工程中面向对象的有限元程序设计方法探讨．计算机辅助工程，1999
[15] 刘明保，李云贵．基于面向对象技术的结构智能建模。建筑科学，2001．6
[16] 姜峰，李博宁，丁丽娜．面向对象的钢筋混凝土有限元非线性分析程序设计．计算力学学报，2003．10
[17] 习俊通，梅雪松，吴序堂．面向对象的接触问题的有限元分析．机械强度，1999．3
[18] 马海全，温卫东．面向对象的结构可靠性形状优化设计．机械强度，2003
[19] 孔祥安，翟已．面向对象有限元程序的数据设计．西南交通大学学报，1996．8
[20] 杨志勇，何若全．面向对象有限元方法在结构抗震分析中的应用．哈尔滨建筑大学学报，2002．8
[21] 刘正兴，王劲松．随机有限元在结构可靠性分析中的应用．上海交通大学学报，1994
[22] 项阳，平扬，葛修润．面向对象有限元方法在岩土工程中的应用．岩土力学，2000．12
[23] 平扬，刘崇权，白世伟．面向对象有限元分析在深基坑工程中的应用．电力勘测，22期
[24] 吴晓涵．面向对象结构分析程序设计．科学出版社，2002
[25] I.M. Smith&D.V. Griffiths. Programming the Finite Element Method. Publishing House of electronics Industry, 2003.9
[26] Sweed Moaveni. Finite Element Analysis—Theory and Application with ANSYS. Publishing House of electronics Industry, 2003.6
[27] Daryl L. Logan. A First Course in the Finite Element Method. Publishing House of electronics Industry, 2003.8
[28] 徐钟济．蒙特卡罗方法．上海：上海科学技术出版社，1985．6
[29] 王仲奇．蒙特卡罗方法及其应用．北京：海洋出版社，1998．7
[30] 倪新华，路晓波．材料随机梁的有限元分析．军械工程学院学报，2001
[31] 赵雷．随机参数结构动力分析方法及地震可靠度研究(博士学位论文)．成都：西南交通大学，1996．8
[32] 金伟良．结构体系可靠度的数值模拟工程结构可靠性全国第四届学术交流会议论集．1995
[33] 刘宁，郑建青．工程随机力学及可靠性理论中的若干问题(上)．河海大学学报，1999(5)
[34] 李杰．随机结构系统分析与建模．北京：科学出版社，1996．10
[35] 庄表中．随机振动的理论及实例分析．北京：地震出版社，1985．3
[36] 庄表中，王行新．随机振动概论．北京：地震出版社，1982．6
[37] 张景绘，王超．工程随机振动理论．西安交通大学出版社，1989．5
[38] 梁俊，崔俊芝．基于知识的结构分析系统．计算力学学报，1994．1
[39] 吴际，金茂忠．UML面向对象分析．北京航空航天大学出版社，2002
[40] 邵维忠，扬芙清．面向对象的系统设计．北京：清华大学出版社，2003
[41] 吴国富等．实用数据分析方法．中国统计出版社，1992
[42] 程兴新，曹敏．统计计算方法．北京大学出版社，1989
[43] 范金城．概率论与数理统计．辽宁大学出版社，2000．10
[2] 刘宁．可靠度随机有限元法及其工程应用．北京：中国水利水电出版社，2001
[3] 陈虬，刘先斌．随机有限元法及其工程应用．西南交通大学出版社，1993，11
[4] Collins J. D . & Thomson W . T . , The eigenvalue problem for structural system with statistical propries, AIAAJ, Vol. 7, No. 4,1969:642-648
[5] Hisada. T .&Nakagiri. S.,Role of the stochastic FEM in structrural salty and reliability, Kobe, Japan, May 1981
[6] Hisada. T.&Nakagiri. S.,Stochastic FEM developed for structural safty and reliability in proceerings. The 3nd International Conference on Structural Safty and Reliability, Trordheim, Norway, Jun, 1981
[7] Hisada. T,&Nakagiri.S.,&Mashimo. M.,A Note on stochastic FEM (Part-10)on dimensional invariance of advanced first-order second-monment reliability index in analysis in continuum, Seisan-kenkeyu,Institude of industrial science, University of Tokyo, Japan, 1985
[8] Hisada. T.,Nakagiri. S.&Nagasaki. T.,Stochastic finite element analysis of uncertain intrarsic stress caused by structural misfits in transactions, 7th international Conference on Structural Mechanics in Reactor Technology, Chicgo, Illiriois, August, 1983
[9] Nakagiri. S., &Hisada. T.,A note on stochastic FEM(Part-6)of application in problems of uncertain elastic foundation, Seisan-Kenkyu, Institude of industrial science, University of Tokyo, Japan, 1983
[10] Vanmarcke E.H.,Random fields:analysis and synthesis, the MIT press, 1983
[11] Vanmarcke E.H.&Grigoriu M.,Stochastic finite element analysis of simple, beams ASME, J. Eng. Mech. Div.,109(5),1983
[12] Vanmarcke E.H. etal, Random field and stochastic finite
elements, Structural Safty, 3,1986
[13] Liu W.K.,etal,Variational approach to probabiliatic finite elements, J. Engrg. Mech.,ASCE, Vol. 114, No. 12,1984
[14] 周益军，吴巨龙．机械工程中面向对象的有限元程序设计方法探讨．计算机辅助工程，1999
[15] 刘明保，李云贵．基于面向对象技术的结构智能建模。建筑科学，2001．6
[16] 姜峰，李博宁，丁丽娜．面向对象的钢筋混凝土有限元非线性分析程序设计．计算力学学报，2003．10
[17] 习俊通，梅雪松，吴序堂．面向对象的接触问题的有限元分析．机械强度，1999．3
[18] 马海全，温卫东．面向对象的结构可靠性形状优化设计．机械强度，2003
[19] 孔祥安，翟已．面向对象有限元程序的数据设计．西南交通大学学报，1996．8
[20] 杨志勇，何若全．面向对象有限元方法在结构抗震分析中的应用．哈尔滨建筑大学学报，2002．8
[21] 刘正兴，王劲松．随机有限元在结构可靠性分析中的应用．上海交通大学学报，1994
[22] 项阳，平扬，葛修润．面向对象有限元方法在岩土工程中的应用．岩土力学，2000．12
[23] 平扬，刘崇权，白世伟．面向对象有限元分析在深基坑工程中的应用．电力勘测，22期
[24] 吴晓涵．面向对象结构分析程序设计．科学出版社，2002
[25] I.M. Smith&D.V. Griffiths. Programming the Finite Element Method. Publishing House of electronics Industry, 2003.9
[26] Sweed Moaveni. Finite Element Analysis—Theory and Application with ANSYS. Publishing House of electronics Industry, 2003.6
[27] Daryl L. Logan. A First Course in the Finite Element Method. Publishing House of electronics Industry, 2003.8
[28] 徐钟济．蒙特卡罗方法．上海：上海科学技术出版社，1985．6
[29] 王仲奇．蒙特卡罗方法及其应用．北京：海洋出版社，1998．7
[30] 倪新华，路晓波．材料随机梁的有限元分析．军械工程学院学报，2001
[31] 赵雷．随机参数结构动力分析方法及地震可靠度研究(博士学位论文)．成都：西南交通大学，1996．8
[32] 金伟良．结构体系可靠度的数值模拟工程结构可靠性全国第四届学术交流会议论集．1995
[33] 刘宁，郑建青．工程随机力学及可靠性理论中的若干问题(上)．河海大学学报，1999(5)
[34] 李杰．随机结构系统分析与建模．北京：科学出版社，1996．10
[35] 庄表中．随机振动的理论及实例分析．北京：地震出版社，1985．3
[36] 庄表中，王行新．随机振动概论．北京：地震出版社，1982．6
[37] 张景绘，王超．工程随机振动理论．西安交通大学出版社，1989．5
[38] 梁俊，崔俊芝．基于知识的结构分析系统．计算力学学报，1994．1
[39] 吴际，金茂忠．UML面向对象分析．北京航空航天大学出版社，2002
[40] 邵维忠，扬芙清．面向对象的系统设计．北京：清华大学出版社，2003
[41] 吴国富等．实用数据分析方法．中国统计出版社，1992
[42] 程兴新，曹敏．统计计算方法．北京大学出版社，1989
[43] 范金城．概率论与数理统计．辽宁大学出版社，2000．10