2026-03-08T17:52:53Z https://gunma-u.repo.nii.ac.jp/oai

oai:gunma-u.repo.nii.ac.jp:00003506 2023-06-19T12:59:27Z 572:575:576

固定-単純支持はりのカオス振動に及ぼす軸圧縮荷重の影響(<特集>D & D 2007) Effects of Axial Compressive Load on Chaotic Vibrations of a Clamped-Supported Beam(<Special Issue>D & D 2007) Effects of Axial Compressive Load on Chaotic Vibrations of a Clamped-Supported Beam(<Special Issue>D & D 2007) 柳澤, 大 永井, 健一 丸山, 真一 本文データは学協会の許諾に基づきCiNiiから複製したものである Nonlinear Vibration Vibration of Continuous System Chaos and Fractal Poincare Projection Lyapunov Exponent application/pdf Journal Article Experimental results and analytical results are presented on the effects of axial compressive load on chaotic vibrations of a clamped-supported beam subjected to periodic lateral acceleration. The beam is elastically compressed by an axial spring at the simply supported end. In the experiment, nonlinear and chaotic responses are detected under various compressions. In the analysis, the governing equation is reduced to nonlinear differential equations of a multiple-degree-of-freedom system by the Galerkin procedure. The nonlinear periodic responses are calculated by the harmonic balance method. The chaotic responses are numerically integrated by the Runge-Kutta-Gill method. The chaotic responses of the beam under axial compression are examined with the Fourier spectra, the Poincare projections, the maximum Lyapunov exponents and the principal components by the Karhunen-Loeve transformation. Both results of the experiment and the analysis coincide fairly well in detail. The frequency region of the chaos spread with the increment of the axial compressive force. The chaotic responses are generated within the axial compression range of the same ratio to the each buckling load. Distinct fractal pattern can be observed in the attractors of Poincare projections. The number of modes generated in the chaos is counted as three by the maximum Lyapunov exponent and the Lyapunov dimension 日本機械学会 2008-05-25 2017-03-27 jpn journal article VoR http://hdl.handle.net/10087/5499 https://gunma-u.repo.nii.ac.jp/records/3506 http://ci.nii.ac.jp/naid/110006685242/ 0387-5024 AN00187463 日本機械学會論文集. C編 74 741 1073 1079 https://gunma-u.repo.nii.ac.jp/record/3506/files/E_nagai_74-1073.pdf application/pdf 678.6 kB 2020-11-25