用回传波射矩阵法的刚架模态分析  

Modal Analysis of Frames with Reverberation Ray Matrix Method

作　　者：刘俊[1] 缪馥星[1] 孙国钧[1] 

机构地区：[1]上海交通大学工程力学系,上海200030

出　　处：《振动．测试与诊断》2006年第4期322-323,共2页Journal of Vibration,Measurement & Diagnosis

摘　　要：由于回传波射矩阵法提供了桁架结构用弹性波方法求瞬态响应的解析解,因此在这里扩展了回传波射矩阵法在频域里的公式,使其可用以求解在节点受单位脉冲载荷作用时的桁架位移,从而在频域位移解中得到振动模态和相应的自然频率,为求桁架振动频率和模态提供了一种新方法。简单例题表明求得的解很精确。In recent years, a novel method to analyze the response of pin-jointed or rigid jointed trusses under impact load is proposed: the reverberation ray matrix method. This method provides the analytic solution of transient response for trusses with elastic wave method. The present study extends the formula of the reverberation matrix method in the frequency domain to obtain the displacements of nodes of the frame under unit pulse. The vibration mode and associated natural frequency are obtained from the solution of displacement in the frequency domain. This is a new method for calculating natural frequencies and modes of trusses. Simple examples show that the solution is accurate.

关 键 词：回传波射矩阵法 振动模态 自然频率 冲击载荷 

分 类 号：O347.4[理学—固体力学]