二维系统传递矩阵法  

TRANSFER MATRIX METHOD FOR A TWO DIMENSIONAL SYSTEM

作　　者：贠来峰[1] 芮筱亭[1] 何斌[1] 唐静静[2] 陆毓琪[1] 

机构地区：[1]南京理工大学动力工程学院 [2]南京航空航天大学,南京210016

出　　处：《力学学报》2006年第5期712-720,共9页Chinese Journal of Theoretical and Applied Mechanics

摘　　要：以薄板横向振动的振动特性问题为例提出了二维系统传递矩阵法．从质点和无质量梁的传递矩阵出发,建立了按列排列的薄板子结构的传递矩阵．用二维系统传递矩阵法获得了整个板的总体传递方程,从而可得到板在任意一种边界条件下的特征方程．数值求解了两种情况下薄板横向振动的固有振动特性．计算结果表明,用该方法可用于研究类似薄板的二维系统的动力学问题,且无需建立系统的总体动力学方程．Taking the vibration characteristics of a thin plate as an example, a transfer matrix method for a two dimensional system is developed. On the basis of the transfer matrices of a lumped mass and a massless beam, the transfer matrix of a sub-structure arranged in column is acquired. By means of the transfer matrix method for a two dimensional system, the overall transfer equation of a plate can be obtained easily, then the characteristics equation under arbitrary boundary condition can be obtained. Numerical solutions of the characteristics equation for a thin plate in transverse vibrations are obtained under two boundary conditions. The computational results show that the transfer matrix method can be applied to dynamics problems of two dimensional systems similar to a thin plate, and the dynamic equations for the global system is not required.

关 键 词：工程振动学 传递矩阵 二维系统 振动特性 薄板 

分 类 号：TB123[理学—工程力学] O326[理学—力学]