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Reliability analysis of plane elasticity problems by stochastic spline fictitious boundary element method

机译：平面弹性问题的随机样条虚拟边界元法可靠性分析。

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摘要

In this paper a stochastic spline fictitious boundary element method (SFBEM) is proposed for reliability analysis of plane elasticity problems in conjunction with the advanced first-order-second-moment (AFOSM) method. The AFOSM method has been demonstrated to be a reliable and practical approach to the structural reliability analysis, yielding results of reasonable accuracy for the engineering applications. And as a modified method for the conventional indirect boundary element method, SFBEM can provide accurate numerical solutions at high efficiency in deterministic analyses. For the purpose of structural reliability analysis, SFBEM is introduced during the iteration process of the AFOSM method, to obtain the required values of structural responses and their derivations with respect to the random variables considered. The use of SFBEM in the formulation of the AFOSM method makes it unnecessary to construct an explicit expression to the implicit limit state function of the problem, leading to a higher efficiency and better accuracy. The present approach is validated by comparing calculated solutions with those of Monte Carlo simulation for a number of example problems and a good agreement of the results is achieved.
机译：本文结合先进的一阶二阶矩（AFOSM）方法，提出了一种随机样条虚拟边界元方法（SFBEM），用于平面弹性问题的可靠性分析。 AFOSM方法已被证明是一种可靠且实用的结构可靠性分析方法，可为工程应用提供合理的精度结果。作为对传统间接边界元方法的一种改进方法，SFBEM在确定性分析中可以高效地提供精确的数值解。出于结构可靠性分析的目的，在AFOSM方法的迭代过程中引入了SFBEM，以获得所需的结构响应值及其相对于所考虑的随机变量的推导。在AFOSM方法的公式中使用SFBEM使得不必为问题的隐式极限状态函数构造显式表达式，从而提高了效率和准确性。通过将计算的解决方案与蒙特卡洛模拟的解决方案进行比较，验证了该方法的有效性，该方法解决了许多示例问题，并取得了很好的结果一致性。

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  • 来源
    《Engineering analysis with boundary elements》 |2012年第2期|p.118-124|共7页
  • 作者

    Cheng Su; Shuwei Zhao; Haitao Ma;

  • 作者单位

    School of Civil Engineering and Transportation, South China University of Technology, Guangzhou 510640, PR China,State Key Laboratory of Subtropical Building Science, South China University of Technology, Guangzhou 510640, PR China;

    School of Civil Engineering and Transportation, South China University of Technology, Guangzhou 510640, PR China;

    School of Civil Engineering and Transportation, South China University of Technology, Guangzhou 510640, PR China,State Key Laboratory of Subtropical Building Science, South China University of Technology, Guangzhou 510640, PR China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    plane elasticity problems; reliability analysis spline fictitious boundary element method; advanced first-order-second-moment; method;

    机译：平面弹性问题;可靠性分析样条虚拟边界元法;先进的一阶二阶矩方法;

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