强迫激励下CFRP斜拉索面内分叉特性  

In-plane Bifurcation Behavior of Inclined CFRP Cable Subject to External Excitation

作　　者：康厚军[1] 赵跃宇[1] 朱志辉[2] 解维东[1] 

机构地区：[1]湖南大学土木工程学院,湖南长沙410082 [2]中南大学土木工程学院,湖南长沙410075

出　　处：《湖南大学学报（自然科学版）》2014年第9期8-13,共6页Journal of Hunan University:Natural Sciences

基　　金：国家自然科学基金资助项目(11102063;11032004);中央高校基本科研业务费专项资金资助项目

摘　　要：基于CFRP斜拉索横向各向同性假设的动力学理论,研究在强迫荷载作用下CFRP斜拉索的面内非线性动力学行为.将CFRP斜拉索的空间动力学控制微分方程约化处理得到面内运动控制微分方程,通过无量纲处理后,利用Galerkin方法进行一阶模态截断,得到CFRP斜拉索在强迫激励下面内运动常微分控制方程.利用4阶龙格库塔法对微分方程进行数值积分,得到在不同激励荷载作用下CFRP拉索的时间历程图、相图和功率谱图,进而对其非线性动力学行为进行研究.研究结果表明,在强迫激励下CFRP斜拉索有较为丰富的非线性动力学行为.Based on the assumption of transversely isotropic property of material,the nonlinear in-plane dynamical behavior of CFRP cable under forced load was investigated.The partial differential equation for in-plane dynamics of the inclined CFRP cable was obtained by reducing spatial kinetic theory.Then,the ordinary differential equations for analyzing the dynamic behavior were obtained in Galerkin method and through dimensionless treatment.The 4-order Runge-Kutta method for differential equations was utilized to get the time history,phase and power spectrum for understanding the nonlinear dynamic behavior of in-clined CFRP cable.The rich nonlinear dynamic behavior and phenomena were observed.

关 键 词：索 强迫运动 非线性振动 分岔 

分 类 号：O322[理学—一般力学与力学基础]