非保存系荷重を受ける構造の動的安定問題 : リアプノフ指数による安定性判別

概要

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The dynamic behaviors of structures in principle of a non-conservative system, such as a submerged thin shell structure under follower type load in the circulatory system and a column under periodic load in the in-stationary system, may assume various nature phenomena. Especially, disturbance forces of various types, which are omnipresent in a marine environment, may occur complexity and unstable for dynamic behaviors of structures in non-conservative system. This paper deals with characterizing the dynamic stability of the structures in non-conservative system using Lyapunov exponent, in order to clarify the structural mechanisms of dynamic motions and critical threshold. A submerged thin shell structure under follower load with disturbances as an example of Duffing equation-type problem, and a column under periodic load for instance of Mathieu equation-type problem are investigated herein to presume the process up to unstable state by Lyapunov exponent as a stability index.
社団法人日本船舶海洋工学会の論文
2001-08-31