Non-symmetric and chaotic vibrations of Euler-Bernoulli beams under harmonic and noisy excitations

[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.

[发布机构] 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

[效力级别] 力学 [学科分类] 力学，机械学

[关键词] Chaotic vibration;Euler Bernoulli beams;Geometric non-linearity;Mechanical systems;Noise-induced transition;Non-linear dynamics;Symmetric vibrations;Transversal loads