Awrejcewicz Jan, Krysko Anton V, Erofeev Nikolay P, Dobriyan Vitalyi, Barulina Marina A, Krysko Vadim A
Department of Automation, Biomechanics and Mechatronics, Lodz University of Technology, 1/15 Stefanowski St., 90-924 Lodz, Poland.
Cybernetic Institute, National Research Tomsk Polytechnic University, 30 Lenin Avenue, 634050 Tomsk, Russia.
Entropy (Basel). 2018 Mar 5;20(3):170. doi: 10.3390/e20030170.
In this part of the paper, the theory of nonlinear dynamics of flexible Euler-Bernoulli beams (the kinematic model of the first-order approximation) under transverse harmonic load and colored noise has been proposed. It has been shown that the introduced concept of phase transition allows for further generalization of the problem. The concept has been extended to a so-called noise-induced transition, which is a novel transition type exhibited by nonequilibrium systems embedded in a stochastic fluctuated medium, the properties of which depend on time and are influenced by external noise. Colored noise excitation of a structural system treated as a system with an infinite number of degrees of freedom has been studied.
在本文的这一部分，提出了横向谐波载荷和有色噪声作用下柔性欧拉 - 伯努利梁的非线性动力学理论（一阶近似运动学模型）。结果表明，引入的相变概念使得该问题能够进一步推广。该概念已扩展到所谓的噪声诱导转变，这是一种嵌入随机波动介质中的非平衡系统所表现出的新型转变类型，其性质随时间变化并受外部噪声影响。研究了将结构系统视为具有无限多个自由度的系统时的有色噪声激励。
