- 基于拉格朗日乘数法计算大坝结构可靠度
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- 发表时间： 2009-01-01
- 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. - 备注： 新增回溯数据
