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

【摘要】：在加權(quán)非線性響應(yīng)面法的基礎(chǔ)上,通過(guò)向量梯度投影方法改進(jìn)樣本點(diǎn)的選擇,提出一種基于向量投影取樣的改進(jìn)加權(quán)響應(yīng)面方法.用向量梯度投影法獲取新的試驗(yàn)樣本點(diǎn),再對(duì)這些取樣點(diǎn)進(jìn)行加權(quán)回歸處理,賦予靠近極限狀態(tài)曲面的樣本點(diǎn)更高的權(quán)重來(lái)構(gòu)造和更新迭代二次響應(yīng)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(wèn)題.該方法有效克服了傳統(tǒng)響應(yīng)面法計(jì)算結(jié)果受插值系數(shù)的影響,一定程度上提高了計(jì)算精度,可以得到相對(duì)更優(yōu)的結(jié)果.算例分析驗(yàn)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(xué)理學(xué)院;空軍工程大學(xué)航空航天工程學(xué)院;
【基金】：國(guó)家自然科學(xué)基金(51175510) 空軍工程大學(xué)研究生創(chuàng)新基金資助
【分類號(hào)】：TB114.3

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