コンプライアンス伝達関数変更の有限要素法によるシンセシス

概要

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This paper presents a method to synthesize the structural modification required to realize the compliance shift on the Bode plot in problems of vibration with Rayleigh damping. The method is based on the notion that the objective design is searched near the baseline design under the equality constraint conditions derived from the first-order approximation of the compliance change with respect to the design variables. An iterative algorithm is formulated to determine the design variables and Lagrange multipliers on the basis of the sensitivities of the finite element solution and the given shift. The numerical examples are concerned with the compliance of a cantilever beam and a simply-supported beam. The moment of inertia and cross-sectional area at the element nodes are taken as the design variables. It is shown that the structural modification can be attained by several iterations of the algorithm for the given sets of the compliance shift.
一般社団法人日本機械学会の論文
1988-11-25