大規模非線形系に対する高性能振動解析手法の開発 : 非線形支持された直線状はり構造物の曲げ振動への適用(機械力学,計測,自動制御)

概要

論文の詳細を見る
A rational method of dimensional reduction is developed in order to analyze accurately a nonlinear vibration generated in a large-scale structure with locally strong nonlinearity. In the proposed method, the state variables of linear nodes are transformed into the modal coordinates by using the real constrained modes that is obtained by fixing the nonlinear nodes, and a small number of modal coordinates that have a significant effect on the computational accuracy of the solution are selected and utilized in the analysis by combining them with the state variables of nonlinear nodes that are expressed in the physical coordinates. The remaining modes that have little effect on the computational accuracy are appropriately approximated and are eliminated from the system. From the reduced model constructed by these procedures, the steady state periodic solution and the stability, the transient solution and the quasi-periodic solution can be computed with a very high degree of computational accuracy and at a high computational speed. The effectiveness of the proposed method is verified by the computational results obtained for a straight-line beam structure with nonlinear supports.
社団法人日本機械学会の論文
2008-11-25