弹性边界刚度对充液圆柱壳耦合频率的影响分析

研究了弹性边界刚度对充液圆柱壳的振动特性影响。基于Flügge理论并考虑流体的影响,根据波动法建立弹性边界条件下充液圆柱壳的耦合振动特征方程,采用一种改进傅里叶级数的计算方法得到弹性边界条件下的轴向波数,将求得的轴向波数代入耦合方程并利用牛顿迭代法求解方程得到耦合频率。通过与两种边界条件下充液圆柱壳的计算结果进行对比,验证了文中研究方法的有效性和正确性。通过算例,分析了在边界约束刚度变化过程中,充液圆柱壳的耦合频率在不同轴向波数、壳体尺寸等因素下的变化规律。

Influence of elastic boundary stiffness on the coupling frequency of fluid-filled cylindrical shells

The coupled vibration characteristics of fluid-filled cylindrical shells under elastic boundary conditions are studied. Based on the Flügge theory and considering the influence of the fluid, the coupled characteristic equations of fluid-filled cylindrical shells are derived by wave method, the axial wave num-ber obtained by the Fourier series method is substituted into the coupled characteristic equation and the coupled frequency of fluid-filled cylindrical shells under elastic boundary conditions obtained by Newton iterative method. The present analysis is validated by comparing results with fluid-filled cylindrical shells with clamped supported- clamped supported (C-C). By numerical examples, the vary regular of coupled frequen-cy for fluid-filled cylindrical shells under different axial wave number and shell size with the constantly changing of elastic boundary stiffness is analyzed.