本文關鍵詞： 代理模型 多目標優(yōu)化 增廣SVM 模型修正　出處：《振動與沖擊》2017年15期 　論文類型：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,針對支持向量機(Support Vector Machine,SVM)在處理非線性程度不高函數(shù)時容易出現(xiàn)過擬合,提出了一種采用混合基函數(shù)形式的增廣SVM方法。該方法首先是在結構動力學試驗結果和結構有限元模型計算分析結果的基礎上,根據(jù)設計要求、靈敏度計算或工程經(jīng)驗選擇適合的待修正參數(shù)、修正范圍來確定修正樣本空間,并給出樣本點,其次采用增廣SVM方法構造每組樣本點和與之對應的目標函數(shù)之間的代理模型,采用基于Pareto最優(yōu)解的多目標優(yōu)化方法,以代理模型輸出為目標,樣本空間為變量,尋找待修正參數(shù)在修正區(qū)間內的全局最優(yōu)解。用代理模型代替原有的有限元模型進行相關的計算分析,避免在模型修正過程中反復調用原有限元模型進行計算帶來的高昂計算成本。通過算例一表明,增廣SVM的預測結果較傳統(tǒng)SVM方法精度更高,而算例二、三則說明所提出的基于增廣SVM方法的結構動力學模型修正方法具有實際應用價值,同時計算結果具有很高的精度。
[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】： 南京航空航天大學機械結構力學及控制國家重點實驗室;
【基金】：國家自然科學基金(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)務費資助(NS2014002) 江蘇高校優(yōu)勢學科建設工程
【分類號】：O342

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