基于传递矩阵法的纵肋圆柱壳振动特性计算

基于传递矩阵法,结合振动微分方程,提出一种计算纵肋圆柱壳自由振动特性的周向传递矩阵法.该方法基于板壳理论和圆柱壳振动控制方程,推导出圆柱壳周向传递的场传递矩阵和纵肋处的点传递矩阵,结合圆柱壳边界条件,得到频率方程,利用精细时程积分法原理,可保证计算的精度.将计算结果与有限元解进行比较,验证方法的有效性,同时比较传递矩阵...

Vibration Characteristics Calculation of Cylindrical Shell

Based on the transfer matrix method,and combined with the vibration differential equation,a circumferential transfer matrix method for calculating the free vibration characteristics of cylindrical shell with longitudinal rib is proposed.Based on the plate-shell theory and the cylindrical shell vibration control equation,the field transfer matrix for the circumferential transfer of cylindrical shell and the point transfer matrix of longitudinal rib are derived with the method.Combined with the boundary conditions of cylindrical shell,the frequency equation is obtained,and the calculation precision can be ensured with the principle of precise time-integration method.The calculation results are compared with the finite element solution to verify the validity of the method,and the precisions of transfer matrix method in different transfer directions are compared to find out the application range of circumferential transfer matrix method and axial transfer matrix method.