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在加权非线性响应面法的基础上,通过向量梯度投影方法改进样本点的选择,提出一种基于向量投影取样的改进加权响应面方法.用向量梯度投影法获取新的试验样本点,再对这些取样点进行加权回归处理,赋予靠近极限状态曲面的样本点更高的权重来构造和更新迭代二次响应面函数,解决隐式极限状态函数的结构可靠性分析问题.该方法有效克服了传统响应面法计算结果受插值系数的影响,一定程度上提高了计算精度,可以得到相对更优的结果.算例分析验证了所提方法的合理性和有效性.
Based on the weighted nonlinear response surface method, an improved weighted response surface method based on vector projection sampling is proposed, which improves the selection of sample points by vector gradient projection method. The new test sample points are obtained by vector gradient projection method, These sampling points are weighted regression processing, and the sample points near the limit state surface are given a higher weight to construct and update the iterative quadratic response surface function to solve the structural reliability analysis of the implicit limit state function. This method effectively overcomes the traditional The result of response surface method is affected by the interpolation coefficient, which improves the calculation precision to a certain extent, and can obtain relatively better results.An example analysis shows that the proposed method is reasonable and effective.