変断面を有する偏平アーチのカオス振動

概要

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This paper presents the numerical simulation for the chaotic vibration of a shallow arch having a variable cross section. The arch is excited laterally by periodic acceleration. Using the Galerkin procedure on the basic equation, the equation is reduced to that of multiple-degree-of-freedom systems. The chaotic responses are investigated by numerical integration. When the chaotic motion appears in the arch with large curvature, many natural modes of vibration of both symmetric and asymmetric modes are excited simultaneously. These modes are coupled strongly to each other. In the Lyapunov spectrum, there are more than two terms with positive Lyapunov exponents. The Lyapunov dimension increases as the curvature of the arch becomes large. Furthermore, the chaotic attractor in the Poincare section shows more complicated projection.
社団法人日本機械学会の論文
1995-03-25