Higher Approximate Solutions of the Duffing Equation : Primary Resonance in the Soft Spring System
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概要
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The Duffing system with soft spring is analysed by using a new algorithm which computes nonlinear steady-state oscillations and their stability with high speed and accuracy, based on the lines of the harmonic balance method. Detailed results of the frequency response of the primary resonance, up to the 9th harmonics, are presented. The following are demonstrated : a new unstable region, an isolated branch, the bifurcation of the non-odd order solutions, subharmonic oscillations (order 1/2 and 1/4), random almost periodic oscillations and superharmonic resonances (order 2 to 7). Some of these are confirmed by numerical simulation.
- 一般社団法人日本機械学会の論文
著者
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Sueoka Atsuo
Faculty Of Engineering Kyushu University
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TAMURA Hideyuki
Faculty of Engineering, Kyushu University
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Ueda Noboru
Mitsubishi Heavy Industries Co. Ltd.
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Tamura H
Department Of Intelligent Machinery And Systems Faculty Of Engineering Kyushu University
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KONDOU Takahiro
Kyushu University.
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Tamura Hideyuki
Faculty Of Engineering Kyoto University
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