具集中质量悬索在轴向激励作用下的主共振分析  

Primary Resonance Analysis of the Suspension Cable System with Concentrated Load under Axial Excitation

作　　者：陈自力[1] 邓瑞基[1] 李倩妹[1] 

机构地区：[1]中南林业科技大学土木建筑与力学学院,湖南长沙410004

出　　处：《中南林业科技大学学报》2007年第4期59-65,共7页Journal of Central South University of Forestry & Technology

基　　金：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：针对具有集中荷载作用的两端固定悬索在悬索端点外激励作用下悬索系统发生的强迫振动,研究了激励频率接近悬索主共振频率时,系统产生的主共振.1)采用多尺度法,得到了不同振型的主共振分叉图和主共振分叉点的解析解;2)通过实例计算,得到了悬索的不同振型的主共振分叉图和主共振分叉点位置.With both ends of the cable built in and a concentrated load acting on, a forced vibration of the suspension cable system occurs under the external excitation from out of the cable rod ends. When its forced frequency approaches the primary resonance frequency of the cable, its primary resonance is investigated. The results are： 1） by adopting a multiple-dimensioned method, the analytical solution to the primary resonance bifurcation point and its graph for the modes of different ranks are obtained; 2） through computing instances, the primary resonance bifurcation graph and its bifurcation point position for the modes of all ranks are obtained.

关 键 词：力学 伽辽金法 多尺度法 非线性振动 分叉条件 悬索 

分 类 号：O322[理学—一般力学与力学基础]