230 変断面アーチのカオス振動におけるモード連成の実験(振動)

概要

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This paper presents the experiment of chaotic vibrations of a shallow arch with variable cross section. The arch with the tapered breadth is simply-supported and the arch is excited. The chaotic responses of the arch is examined by the power spectrum, the Poincar section and the maximum Lyapnov exponent. And the spatial distribution of the chaotic responces are recorded by the High speed video camera. Following conclution was obtained. The chaotic attractor of the arch forms multiple loop onto the Poincare section. The chaotic response of the arch is due to an internal response. The internal response has the four-five relations between the fundamental mode and second mode of the vibrations. The embedded dimention at the miximum Lyapunov exponents of the responce converges four, therefor the chaotic response predominated two degree of freedom.
一般社団法人日本機械学会の論文
2000-06-23