本文選題：響應面法　切入點：加權(quán)響應面法　出處：《科學通報》2017年17期 　論文類型：期刊論文

【摘要】：在加權(quán)非線性響應面法的基礎(chǔ)上,通過向量梯度投影方法改進樣本點的選擇,提出一種基于向量投影取樣的改進加權(quán)響應面方法.用向量梯度投影法獲取新的試驗樣本點,再對這些取樣點進行加權(quán)回歸處理,賦予靠近極限狀態(tài)曲面的樣本點更高的權(quán)重來構(gòu)造和更新迭代二次響應面函數(shù),解決隱式極限狀態(tài)函數(shù)的結(jié)構(gòu)可靠性分析問題.該方法有效克服了傳統(tǒng)響應面法計算結(jié)果受插值系數(shù)的影響,一定程度上提高了計算精度,可以得到相對更優(yōu)的結(jié)果.算例分析驗證了所提方法的合理性和有效性.
[Abstract]:On the basis of weighted nonlinear response surface method and vector gradient projection method, an improved weighted response surface method based on vector projection sampling is proposed, and a new test sample point is obtained by vector gradient projection method. Then these sampling points are weighted by regression, and the sample points close to the limit state surface are given a higher weight to construct and update the iterative quadratic response surface function. The problem of structural reliability analysis of implicit limit state function is solved. This method effectively overcomes the influence of interpolation coefficient on the results of traditional response surface method, and improves the accuracy of calculation to a certain extent. A better result can be obtained and the validity and rationality of the proposed method are verified by an example.
【作者單位】： 空軍工程大學理學院;空軍工程大學航空航天工程學院;
【基金】：國家自然科學基金(51175510) 空軍工程大學研究生創(chuàng)新基金資助
【分類號】：TB114.3

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本文編號：1588590