215 増分伝達剛性係数法による大規模非線形系の振動解析および安定性解析

概要

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The incremental transfer stiffness coefficient method is developed in order to analyze the periodic steady-state vibrations of a large-scale structure having locally strong nonlinear elements. By the present method, it is confirmed that the computation cost is reduced remarkably from the iterative process of approximate computation. In this report, and algorithm based on the resent method is formulated to analyze the longitudinal, flexural and torsional coupled vibration of the three dimensional tree structure supported by the nonlinear base support elements. The stable and unstable solutions can be computed without distinction by applying the present method. Therefore, the stability of the solution obtained has to be analyzed. It is, however, very difficult to analyze the stability of the solution of the large-scale nonlinear structure. In order to overcome the difficulty, the method to reduce the dimensions of the structure without the decrease of accuracy is developed by applying the concept of the modal analysis to the stability analysis of the variational equation.
一般社団法人日本機械学会の論文
2000-09-01