【作者】 陈亮；

【导师】 汤文成；

【作者基本信息】 东南大学 ， 机械制造及其自动化， 2006， 硕士

【摘要】 在进行结构可靠性设计时,由于实际结构的复杂性,一般难以直接得到结果。采用有限元分析方法并与可靠性计算理论相结合,可以有效的计算出结构的可靠性和失效概率。本文简要介绍了基于有限元方法进行结构可靠性计算的思路,对运用有限元方法辅助进行可靠性分析进行了研究。文中首先简要介绍了结构可靠性模型,在此基础上介绍了可靠性设计的基本内容,并分析了结构可靠性设计的发展历史和现状。然后,介绍了可靠性分析的基本方法,有随机抽样法、解析法、混合法和随机有限元法。其中解析法又包括直接积分法、一次二阶矩法、响应面法和改进均值法。并总结了各种方法的特点、缺陷以及适应的情况。接着,分析了基于有限元方法进行可靠性计算的思路,总结出了具有工程应用价值的几种方法及其操作过程,如有限元结合蒙特卡洛法进行可靠性分析,有限元结合响应面法进行可靠性分析和有限元结合改进均值法进行可靠性分析。介绍了常用的可靠性设计软件,并给出了利用软件分析可靠性的过程示例。最后,在工程应用方面,基于响应面法和有限元技术分别对两个零件进行了疲劳可靠性分析。包括的内容有撞击力计算、预紧力分析、螺纹结构分析、公差配合分析、子模型分析等等。更多还原

【Abstract】 When solving reliability problems of real structures, the limit state function is generally implicit because of its unbelievable complexity. With the theory of reliability, using finite element analysis is a very effective way to calculate the reliability and the failure probability of the structure. This thesis introduced the basic concepts of applying structure reliability analysis with finite element method, and analyzed detailed issues of these processes.First, the basic model and content of structure reliability was introduced. Based on this, the history and actuality of reliability was analyzed.Then, the basic methods of reliability analysis were introduced, such as Monte Carlo method, analytical methods, mixed method and random FEM method. Analytical methods include first order method, advanced mean valve method and response surface method.Then, based on the ideas of applying structure reliability analysis with finite element method, this thesis summarized some of the most valuable methods in engineering, such as Monte-Carlo method with FEM, response surface method with FEM and advanced mean valve method with FEM. Common software of reliability was introduced with an example of the using process.At the end of the thesis, we analyzed the reliability of real structures based on response surface method. The work includes impact analysis, pretension analysis, thread structure analysis, tolerance analysis, sub model analysis and so on.更多还原