支承运动情况下旋转梁的刚-柔耦合振动分析  

RIGID-FLEXIBLE COUPLING VIBRATION OF A ROTATING BEAM SUBJECTED TO BASE EXCITATION

作　　者：盛国刚[1] 李传习[1] 赵冰[1] 

机构地区：[1]长沙理工大学桥梁与结构工程学院,长沙410076

出　　处：《振动与冲击》2006年第6期117-120,共4页Journal of Vibration and Shock

基　　金：湖南省自然科学基金资助项目(05JJ40086);湖南省教育厅基金资助项目(05C253)

摘　　要：利用哈密顿原理建立了支承运动情况下旋转梁的刚-柔耦合振动非线性动力学方程组及边界条件。根据假设模态法,利用边界条件以及模态函数的性质,得到一组模态坐标与刚性角位移耦合时变系数常微分方程,运用数值方法比较了非耦合和耦合时刚性角位移的结果,计算了梁的动力响应并分析了模态截断的影响,最后运用梁端部弹性振动的相轨迹分析了该时变系统的稳定性。A rotating beam-mass system undergoes a vertical excitation and a horizontal base excitation.The dynamic equation and the boyndary condition of the rigid-flexible coupling system is derived by using Hamilton principle.The assumed mode approach and the boundary condition are used to change the dynamic equation into the coupling equations between the mode coordinates and rigid angular displacements.The dynamic response of the rotating flexible beam with a tip mass is analyzed.The stability is also investigated according to the phase trajectory

关 键 词：哈密顿原理 刚柔耦合系统 假设模态法 时变系统 相轨迹 

分 类 号：TU313.3[建筑科学—结构工程]