477 弦で拘束された座屈後片持ちはりの非線形振動に及ぼす基部弾性体の影響

概要

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Analytical results are presented on nonlinear coupled vibrations of a post-buckled cantilevered beam connected by a stretched string to an axial elastic body. The beam is subjected to periodic lateral acceleration. The mode shape function is introduced to reduce the governing equations to nonlinear-coupled differential equations by the modified Galerkin procedure. Nonlinear responses are obtained by the harmonic balance method and by the numerical integration. As the mass of the axial elastic body is increased, Poincare projection of chaotic response drastically deformed owing to the generation of higher mode of vibration. The principal component analysis shows that the lowest mode of vibration contributes predominantly in the chaos. Furthermore, the kinetic energy of the vibration mode with large axial displacement is also dominant in the chaotic response.
一般社団法人日本機械学会の論文
2009-08-03