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发表时间：2022-10-10

发表刊物：工程力学

所属单位：建设工程学部

卷号：26

期号：11

页面范围：108-113

ISSN号：1000-4750

摘要：In this paper, an improved method for reliability analysis of dam is
   established. Firstly, random parameters in accord with certain
   distribution are obtained using Monte-Carlo simulation method. Based on
   composite failure criterion, different performance functions are
   established, and then sample points of performance functions are
   obtained accordingly. Secondly, quadratic polynomial is used to model
   response surface. Using Lagrange multiplier rule, the nonlinear
   optimization constraint problem, which generates the design checking
   points under constraint of response surface, is converted into the
   problem of solving linear equations, which can be implemented by Jacobi
   iterative method. Finally, Lagrange multiplier and the design checking
   points are obtained by using bisection method. And the reliability of
   each element of the dam under composite failure criterion is calculated.
   The element reliability is defined as the minimum among all elements'
   reliabilities. Compared with other conventional algorithm, this method
   has some advantages: 1) the gradient is not required in analysis; 2)
   wider application scope; 3) a nonlinear optimization constraint problem
   is converted into a problem of solving linear equations, so this method
   can analyze structure reliability with highly nonlinear limit states.

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