Dynamic characteristics analysis method for uncertain-but-bounded structures based on least squares SVM regression

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Journal of Vibration and Shock ›› 2017, Vol. 36 ›› Issue (7) : 199-207.

MO Yanyu1,GUO Shuxiang2,TANG Cheng2

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Abstract

Dynamic properties analysis for uncertain-but-bounded structures was studied.To reach this goal,uncertain-but-bounded parameters were taken as interval variables,but the distributions of the variables were unknown,and then an interval model was built for each uncertain variable.After an improved uniform design sampling for each interval variable,a dynamic analysis simulation method for uncertain structures was proposed based on the deterministic structure’s dynamic properties analysis with the finite element method and the modal superposition theory.Considering the poor efficiency of the proposed method,an improved method was presented.The improved method was based on the least squares support vector machine (SVM) regression in the premise of unchanged number of sampling points,a surrogate model of SVM regression was introduced.The dynamic characteristics of uncertain structures were simulated and analyzed with this surrogate model trained.Finally,two different numerical examples demonstrated the validity of the proposed approach.

Key words

uniform design / interval model / frequency analysis / frequency response analysis / support vector machine (SVM) regression

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MO Yanyu1,GUO Shuxiang2,TANG Cheng2. Dynamic characteristics analysis method for uncertain-but-bounded structures based on least squares SVM regression[J]. Journal of Vibration and Shock, 2017, 36(7): 199-207

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