Chaotic Vibrations of a Clamped-Supported Beam with a Concentrated Mass Subjected to Static Axial Compression and Periodic Lateral Acceleration
スポンサーリンク
概要
- 論文の詳細を見る
Experimental results and analytical results are presented on chaotic vibrations of a clamped-supported beam with a concentrated mass. The beam is elastically compressed by an axial spring at the simply supported end and is excited by lateral periodic acceleration. In the experiment, periodic and chaotic vibrations are detected under several conditions of the axial compression. 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 are examined with the Fourier spectra, the Poincaré projections and the maximum Lyapunov exponents and the principal component analysis. Under a specific axial compression with post-buckled state of the beam, the chaotic vibrations dominated by dynamic snap-through are generated by the ultra-sub-harmonic resonance response of 2/3order of the fundamental vibration mode. The number of pre-dominant vibration modes that contribute to the chaos is found to be three. Decreasing the axial compression, the chaotic vibrations are induced by the internal resonance response between the second and the fundamental mode of vibration. The number of predominant vibration modes that contribute to the chaos is found to be two or three. Both results of the experimental and the analysis agree remarkably with each other in detail.
著者
-
Nagai Ken-ichi
Department Of Biochemistry Teikyo University School Of Medicine
-
MARUYAMA Shinichi
Department of Mechanical System Engineering, graduate school of engineering Gunma University
-
YANAGISAWA Dai
MITSUBA Corporation
関連論文
- Thermoelectric Properties of β-FeSi_2 Mechanically Alloyed with Si and C
- Screening of Biomarker Genes Activated by Irradiation of Ultraviolet B Rays in Mouse Lymph Node M10 Cells
- Experiment on Chaotic Oscillations of a Post-Buckled Reinforced Beam Constrained by an Axial Spring(Special Issue on Nonlinear Dynamics)
- The Serum Cytokine Profiles of Lymphoma-Associated Hemophagocytic Syndrome : A Comparative Analysis of B-Cell and T-Cell/Natural Killer Cell Lymphomas
- EFFECTS OF NUTRITIONAL CONDITIONS AND NUTRIENTS ON THE METABOLISM OF CHOLESTEROL SULFATE AND SULFATED GLYCOLIPIDS IN ISOLATED RENAL TUBULES OF RAT(Physiology & Biochemistry)(Proceedings of the Seventy-Third Annual Meeting of the Zoological Society of Japa
- EFFECTS OF CATIONS AND OSMOLALITY ON METABOLISM OF SEMINOLIPID IN ISOLATED MOUSE SEMINIFEROUS TUBULES(Biochemistry,Abstracts of papers presented at the 75^ Annual Meeting of the Zoological Society of Japan)
- EFFECTS OF THE HEAT SHOCK ON METABOLISM OF SEMINOLIPID IN ISOLATED MOUSE SEMINIFEROUS TUBULES(Physiology&Biochemistry,Abstracts of papers presented at the 74^ Annual Meeting of the Zoological Society of Japan)
- Effect of nutritional substrate on sulfolipids metabolic turnover in isolated renal tubules from rat
- Experiments on Chaotic Vibrations of a Rectangular Plate under an In-Plane Elastic Constraint at Clamped Edges
- 複合糖質糖鎖構造データベース(CCSD)を CarbBank World Wide Web ページで検索してみよう
- Chaotic Vibrations of a Clamped-Supported Beam with a Concentrated Mass Subjected to Static Axial Compression and Periodic Lateral Acceleration