集中荷载作用下悬索的三次超谐波共振分析  

Analysis of Resonance of Superharmonic Wave of Order 3 for Suspended Cable under a Concentrated Load

作　　者：邓瑞基[1] 陈自力[1] 石立群[1] 

机构地区：[1]中南林业科技大学土木工程与力学学院,长沙410004

出　　处：《噪声与振动控制》2010年第4期13-17,共5页Noise and Vibration Control

基　　金：湖南省长沙市科技局科技计划项目(FJ3036);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,分析了悬索系统可能出现的次共振现象,得到了出现次共振解的通式。根据该通式可以直接分析系统可能出现的次共振以及次共振出现的条件;通过算例,得到了一阶振型的3次谐波共振的分叉图。The possible hype-resonance phenomenon of suspended cable system is analyzed for two cases of forced vibration.The general expression of solution for hype-resonance of suspended cable is obtained.Using this general expression,the possibility and condition for appearance of hype-resonance of the system can be directly analyzed.Finally,the bifurcation diagrams of the third order superharmonic resonance of the first-order modal of the system are provided.

关 键 词：振动与波 次共振 悬索 分叉 伽辽金法 多尺度法 

分 类 号：O322[理学—一般力学与力学基础]