510 ばね-セグメントモデルによる動的柔軟構造設計問題の定式

概要

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A formulation of structural synthesis to deal with flexible and dynamic behavior of a structure is presented on the basis of the spring-segment discretization. A flexible structural member, which induces geometrical nonlinearity, is discretized by means of straight segments connected by virtual coil springs. The equation of motion to describe the dynamic behavior of the flexible member is derived from Lagrange's equation of motion by applying Hamilton's principle in terms of the slope angles assigned to the segments. The time-history analysis of the motion associated with sensitivity analysis with respect to design variables is performed by Newmark β method. Owing to the sensitivity analysis, the change of the motion of the flexible member is approximated in the first-order with the change of the design variables. The governing equation of the design variable change is derived so as to make the approximated motion equal to prescribed one. A numerical example concerning with whip motion of a flexible bar demonstrates the validity of the proposed method.
一般社団法人日本機械学会の論文
2000-07-31