本文關(guān)鍵詞： 代理模型 多目標(biāo)優(yōu)化 增廣SVM 模型修正　出處：《振動(dòng)與沖擊》2017年15期 　論文類(lèi)型：期刊論文

【摘要】：研究了基于代理模型的有限元模型修正方法,針對(duì)支持向量機(jī)(Support Vector Machine,SVM)在處理非線(xiàn)性程度不高函數(shù)時(shí)容易出現(xiàn)過(guò)擬合,提出了一種采用混合基函數(shù)形式的增廣SVM方法。該方法首先是在結(jié)構(gòu)動(dòng)力學(xué)試驗(yàn)結(jié)果和結(jié)構(gòu)有限元模型計(jì)算分析結(jié)果的基礎(chǔ)上,根據(jù)設(shè)計(jì)要求、靈敏度計(jì)算或工程經(jīng)驗(yàn)選擇適合的待修正參數(shù)、修正范圍來(lái)確定修正樣本空間,并給出樣本點(diǎn),其次采用增廣SVM方法構(gòu)造每組樣本點(diǎn)和與之對(duì)應(yīng)的目標(biāo)函數(shù)之間的代理模型,采用基于Pareto最優(yōu)解的多目標(biāo)優(yōu)化方法,以代理模型輸出為目標(biāo),樣本空間為變量,尋找待修正參數(shù)在修正區(qū)間內(nèi)的全局最優(yōu)解。用代理模型代替原有的有限元模型進(jìn)行相關(guān)的計(jì)算分析,避免在模型修正過(guò)程中反復(fù)調(diào)用原有限元模型進(jìn)行計(jì)算帶來(lái)的高昂計(jì)算成本。通過(guò)算例一表明,增廣SVM的預(yù)測(cè)結(jié)果較傳統(tǒng)SVM方法精度更高,而算例二、三則說(shuō)明所提出的基于增廣SVM方法的結(jié)構(gòu)動(dòng)力學(xué)模型修正方法具有實(shí)際應(yīng)用價(jià)值,同時(shí)計(jì)算結(jié)果具有很高的精度。
[Abstract]:In this paper, the finite element model modification method based on agent model is studied. For support vector machine support Vector machine, it is easy to overfit when dealing with the function of low nonlinearity. An augmented SVM method in the form of mixed basis function is proposed. The method is based on the experimental results of structural dynamics and the calculation and analysis of the finite element model of the structure, according to the design requirements. Sensitivity calculation or engineering experience selects suitable parameters to be corrected, modifies the range to determine the modified sample space, and gives the sample points. Secondly, an augmented SVM method is used to construct a proxy model between each set of sample points and the corresponding objective functions. The multi-objective optimization method based on Pareto optimal solution is adopted. The output of the agent model is taken as the target and the sample space is taken as the variable. The global optimal solution of the parameters to be modified in the modified interval is found. The agent model is used instead of the original finite element model to carry out the relevant calculation and analysis. This paper avoids the high calculation cost caused by repeated calling the original finite element model in the process of model modification. The calculation example shows that the prediction result of the augmented SVM is more accurate than that of the traditional SVM method, and the second example shows that the proposed method is more accurate than the traditional SVM method. Three points show that the proposed modified structural dynamic model based on augmented SVM method has practical application value, and the calculation results have high accuracy at the same time.
【作者單位】： 南京航空航天大學(xué)機(jī)械結(jié)構(gòu)力學(xué)及控制國(guó)家重點(diǎn)實(shí)驗(yàn)室;
【基金】：國(guó)家自然科學(xué)基金(11472132) 江蘇省研究生培養(yǎng)創(chuàng)新工程(KYLX_0223) 中央高�；究蒲袠I(yè)務(wù)費(fèi)資助(NS2014002) 江蘇高校優(yōu)勢(shì)學(xué)科建設(shè)工程
【分類(lèi)號(hào)】：O342

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本文編號(hào)：1503328