集中荷载作用下悬索的主共振分析  

PRIMARY RESONANCE ANALYSIS ON SUSPENSION CABLE SYSTEM WITH A CONCENTRATED LOAD

作　　者：陈自力[1] 邓瑞基[1] 

机构地区：[1]中南林业科技大学土木建筑与力学学院,长沙410004

出　　处：《动力学与控制学报》2007年第4期350-354,共5页Journal of Dynamics and Control

基　　金：国家自然科学基金(10672053)资助项目;湖南省科学技术厅科技计划项目(05FJ3036)~~

摘　　要：针对集中荷载作用下两端固定悬索在集中荷载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.采用多尺度法,得到了各阶振型的主共振分叉图和主共振分叉点的解析解.通过实例计算,得到了悬索的各阶振型的线性频率与集中荷载以及集中荷载的位置关系,还得到了各阶振型的主共振分叉图和各阶振型的主共振点相平面图.The forced vibration of a suspension cable system under the external excitation of the point, on which the concentrated load acts, was investigated for suspension cable with both ends built -in and the concentrated load acting on. The analytic solution to primary resonance bifurcation was obtained, by adopting the multiple - scale method. Through computing instances, the position and graph of bifurcation of primary resonance for modes of all ranks were obtained.

关 键 词：伽辽金法 多尺度法 非线性振动 分叉条件 悬索 

分 类 号：O327[理学—一般力学与力学基础]