会议论文详细信息
5th Symposium on the Mechanics of Slender Structures
Non-symmetric and chaotic vibrations of Euler-Bernoulli beams under harmonic and noisy excitations
物理学;力学
Awrejcewicz, J.^1 ; Erofeev, N.P.^2 ; Krysko, V.A.^3
Department of Automation, Biomechanics and Mechatronics, Lodz University of Technology, 1/15 Stefanowski St., Lodz
90-924, Poland^1
Department of Vehicles, Warsaw University of Technology, 84 Narbutta Str., Warsaw
02-854, Poland^2
Department of Mathematics and Modeling, Saratov State Technical University, Politehnicheskaya 77, Saratov
410054, Russia^3
关键词: Chaotic vibration;    Euler Bernoulli beams;    Geometric non-linearity;    Mechanical systems;    Noise-induced transition;    Non-linear dynamics;    Symmetric vibrations;    Transversal loads;   
Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/721/1/012003/pdf
DOI  :  10.1088/1742-6596/721/1/012003
学科分类:力学,机械学
来源: IOP
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【 摘 要 】

In this paper we study non-linear dynamics of flexible Euler-Bernoulli beams subjected to harmonic load and white noise. We report that in the case of continuous mechanical systems like the studied Euler-Bernoulli beams the action of white noise yieldes novel and unexpected phenomena, i.e. symmetric transversal loads and symmetric boundary conditions imply non-symmetric beam vibration. In addition, regions of non-symmetric beam vibrations for two values of white noise intensity are given and the charts of regular and chaotic vibrations of the studied beams are presented.

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