环肋加强变厚度圆柱壳的自由振动

分析了环肋变厚度圆柱壳的自振特性。采用精细时程积分法求解圆柱壳的一阶矩阵微分方程,结合壳体厚度变换矩阵以及由环肋运动微分方程导出的环肋状态向量变换矩阵,建立了环肋变厚度圆柱壳的整体传递矩阵,并依据边界条件获得结构自由振动的频率方程,从而对变厚度环肋圆柱壳进行的自由振动特性进行分析。数值计算结果表明,用该方法处理类似的环肋加强以及变厚度结构的自由振动问题是合理可行的。

Free Vibration of Ring-Stiffened Circular Cylindrical Shell with Variable Thickness

The analysis for free vibration of ring-stiffened circular cylindrical shell with variable thickness was presented.The first order differential equation of circular cylindrical shell was solved by use of precise integration method and the transformation matrix of the ring rib was derived by means of the corresponding governing equation.The global transfer matrix of the ring-stiffened circular cylindrical shell with variable thickness was obtained by the product of the transformation matrices of all shell segments and ring ribs.Once the global transfer matrix was determined,the frequency equation would be readily obtained in terms of their elements under the given boundary conditions.This method has been applied to a ring-stiffened circular cylindrical shell with variable thickness,and its natural frequencies are calculated numerically.The results show that the proposed method is a powerful one for analyzing the ring-stiffened circular cylindrical shells with variable thickness.