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索结构风雨振的周期与混沌运动行为研究

发表时间:2008-05-15  浏览量:1724  下载量:816
全部作者: 何学军,张琪昌,赵德敏
作者单位: 天津大学机械工程学院
摘 要: 本文通过研究带有运动上水线的两个自由度的索结构风雨振模型,对原系统非线性部分进行5阶泰勒展开,得到了简化形式的动力学微分方程。利用正规形理论分析索结构风雨振系统,得到了系统的5阶正规形,研究表明系统运动收敛于稳定的极限环。 通过对系统李雅普诺夫指数的计算,发现该系统存在倍周期、概周期运动以及混沌运动现象。借助计算机代数语言Mathematica程序研究了参数变化对系统周期运动和混沌运动的影响。
关 键 词: 工程力学;风雨振;正规形;李雅普诺夫指数;周期运动;混沌
Title: Study about the characteristic of periodic and chaotic motion of rain-wind-induced vibrations of cable structure
Author: HE Xuejun, ZHANG Qichang, ZHAO Demin
Organization: School of Mechanical Engineering, Tianjin University
Abstract: The paper studied two-degree of freedom model of rain-wind-induced vibrations of cable structure with moving upper rivulet was studied. The nonlinear terms of original system was expanded into Taylor series up to 5 orders, by which the simpler ordinary differential equation was derived. The system of rain-wind-induced vibration of cable structure was studied by normal form theory, the 5th order normal form of system was developed. It showed that their moments converged to limit circles. The computation of lyapunov exponent with different parameters shows that there were double periodic, almost periodic and chaotic motion behavior in this system. Effect of parameter on periodic and chaotic motion of system was studied using Mathematica.
Key words: engineering mechanics;rain-wind-induced vibrations;normal form;Lyapunov exponent;period motion;chao
发表期数: 2008年9月第9期
引用格式: 何学军,张琪昌,赵德敏. 索结构风雨振的周期与混沌运动行为研究[J]. 中国科技论文在线精品论文,2008,1(9):1007-1014.
 
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