基于回传波射矩阵法的复合材料层合框架振动特性分析  

Vibration Analysis of Laminated Composite Frames Based on Elastic Wave Theory

作　　者：申雪静[1] 孙国钧[1] 

机构地区：[1]上海交通大学,上海200240

出　　处：《力学季刊》2010年第2期179-185,共7页Chinese Quarterly of Mechanics

摘　　要：将求解弹性杆系结构动态响应的回传波射矩阵法应用于层合框架的固有频率和模态的求解。用回传波射矩阵法得到单位脉冲载荷作用下层合框架的频响函数,然后由频响函数曲线的波峰确定层合框架结构的固有频率。最后通过回传波射矩阵法控制方程系数矩阵的伴随矩阵得到结构的振动模态。将对称铺层简支梁计算结果与用经典理论算得的解析解进行比较,验证了回传波射矩阵法计算结果具有很高的精度。然后对9根杆组成的平面层合框架进行计算,表明回传波射矩阵法可以有效地计算层合框架结构的固有频率和模态。The method of method（MRRM） for analyzing dynamic response of elastic trusses or frames was extended and used to solve the natural frequency and vibration mode of laminated frames.In this study,the MRRM was emplyed to obtain the frequency response function（FRF） of displacement of a laminated frame under the action of a unit impluse load.The natural frequencies were determined from FRF,since the curve of FRF has a peak when a resonant frequency is approached.The vibration mode was retrieved from the adjoint matrix of the coefficient matrix of governing equations.The result accuracy of MRRM is verified by a simply supported symmetrically laminated beam compared with the analytical solution of classical theory.The calculations of nine-bar laminated plane frame demonstrate that MRRM can obtain the natural frequencies and modes of laminated frame structures effectively.

关 键 词：回传波射矩阵法 层合框架 振动模态 固有频率 

分 类 号：O347.4[理学—固体力学]