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移动集中力作用下的悬索非线性动力分析
引用本文:陈自力[,] 唐驾时 黄伟.移动集中力作用下的悬索非线性动力分析[J].中南林学院学报,2006,26(5):38-44.
作者姓名:陈自力[  ] 唐驾时 黄伟
作者单位:[1]湖南大学工程力学系,湖南长沙410082 [2]中南林业科技大学土木建筑与力学学院,湖南长沙410004
基金项目:国家自然科学基金资助项目“分岔控制研究”(编号:10472029);湖南省科学技术厅科技计划项目“大跨度悬索结构悬索在随机荷载作用下的响应分析理论与控制研究”(编号:05FJ3036).
摘    要:建立了移动集中力作用下悬索的非线性方程.指出了移动集中力对悬索的影响相当于强迫激励.当移动集中力运动速度与悬索横向弹性波速度一致时,系统将发生主共振.通过多尺度法求解,得到了主共振时各阶分叉点.通过数值计算,得到了分叉图.

关 键 词:伽辽金法  多尺度法  非线性振动  分叉条件  悬索
收稿时间:02 20 2006 12:00AM

Non-linear Dynamics Analysis of Strings Under a Moving Force
CHEN Zi-li, TANG Jia-shi,PENG Xiana.Non-linear Dynamics Analysis of Strings Under a Moving Force[J].Journal of Central South Forestry University,2006,26(5):38-44.
Authors:CHEN Zi-li  TANG Jia-shi  PENG Xiana
Institution:1. Dept. of Engineering Mechanics, Hunan University, Changsha 410082, Hunan, China; 2. School of Civil Engineering and Architecture, Central South University of Forestry and Technology, Changsha 410005, Hunan, China
Abstract:The non-linear equations of strings under a moving force are derived. The paper points out that the moving force is similar to a forced motivation. The resonance vibration will arise when the speed of moving force matches the speed of cross elastic waves. The bifurcation point of various levels was obtained by using multiple-dimensioned method. Bifurcation charts were obtained by using numeric method.
Keywords:Galerkin method  multiple-dimensioned method  nonlinear vibration  bifurcation condition  strings
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