振動固有値・固有ベクトルの有限要素法による不確定シフト・シンセシス

概要

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This paper presents an attempt to formulate a structural synthesis for eigenvalue and eigenvector shift by introducing the indeterminacy to the objective eigenvalue and eigenvenctor. The methodology is based or~ the iterative approach to the objective expectaions by means of the sensitivity analysis of the finite elment solution and a functional to seek the objective structure as near the baseline structure as possible. The governing equation for the design parameters is rendered to the mean-centered perturbation with respect to the small probabilistic variables representing the indeterminate objective eigenvalue and eigenvector in order to calculate the sensitivity of the parameters at the objective expectations. The sensitivity is employed to evaluate the variance of the objective structure. The numerical example is concerned with the shift of the eigenvalue and eigenvector of the undamped vibration of a truck chasis and shows that a structural synthesis is made possible by setting a few objectives with indeterminacy.
一般社団法人日本機械学会の論文
1988-03-25