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偏平アーチの非線形振動とカオス解析


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Title: 偏平アーチの非線形振動とカオス解析
Other Titles: Nonlinear Vibrations and Chaos of an Arch with Small Rise
Authors: 高橋, 和雄 / 太田, 晶一
Authors (alternative): Takahashi, Kazuo / Ohta, Shouichi
Issue Date: Mar-1996
Publisher: 土木学会 / Japan Society of Civil Engineers
Citation: 構造工学論文集, 42A, pp.55-61; 1996
Abstract: Nonlinear free and forced vibrations of an arch with small rise are discussed in the present paper. The basic equation of motion is solved by a Galerkin method and the resulting time variable is solved by the hamonic balance method for periodic vibration and Runge-Kutta-Gill method for chaotic vibration. The single-degree-of-freedom approach is employed. Chaotic vibration is obtained by using bifurcation diagram, Poincare map and power spectrurn in this study. Nonlinear vibration behaviors of the hinged-hinged arch are shown for various rise ratios, load intensity and damping constants. The chaotic vibration is obtained and discussed.
Keywords: nonlinear vibration / chaos / 1/2 subharmonic response / shallow arch
URI: http://hdl.handle.net/10069/30043
Rights: © 社団法人土木学会
Type: Journal Article
Text Version: publisher
Appears in Collections:Articles in academic journal

Citable URI : http://hdl.handle.net/10069/30043

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