Transverse vibrations of elastically connected double-string complex system, Part I: Free vibrations
Transverse vibrations of elastically connected double-string complex system, Part I: Free vibrations
复制标题
DOI：
10.1006/jsvi.1999.2742
复制
发表时间：
2000-04-27
影响因子：
4.7
通讯作者：
Oniszczuk, Z
中科院分区：
文献类型：
--
作者：
Oniszczuk, Z
本文对弹性连接的双弦系统进行了理论振动分析。双弦系统是复杂连续系统的最简单模型，它是由两个一维弹性固体通过Winkler弹性层连接而成。考虑了该系统的横向自由振动和强迫振动。本文发展了自由振动理论，并分析了强迫振动。所考虑的系统的运动由两个偏微分方程的非齐次集合描述[1]，这两个偏微分方程通过使用经典数学方法求解。自由振动的解是由Bernoulli-Fourier方法导出的。边值和初值问题得到了解决。确定了振动的固有频率和固有振型。弹性连接双弦系统的自由振动是通过同步和异步偏转实现的。(C)北京大学出版社.
A theoretical vibration analysis of an elastically connected double-string system is presented. The double-string system is the simplest model of a complex continuous system, which is composed of two one-dimensional elastic solids attached by a Winkler elastic layer. The free and forced transverse vibrations of this system are considered. The present paper develops the free vibration theory, and a companion paper analyzes the forced vibrations. The motion of the system considered is described [1] by a non-homogeneous set of two partial differential equations, which are solved by using classical mathematical methods. The solutions of the free vibrations are derived from the Bernoulli-Fourier method. The boundary-value and initial-value problems are solved. The natural frequencies and natural mode shapes of vibration are determined. The free vibrations of an elastically connected double-string system are realized by synchronous and asynchronous deflections. (C) 2000 Academic Press.