基于功能梯度材料的充液圆柱壳耦合振动研究

根据Love壳体理论研究了基于功能梯度材料的充液圆柱壳的耦合振动特性。利用波动法,推导出考虑液体影响时FG圆柱壳耦合系统的振动方程。通过变换轴向波数,得到不同边界条件下充液FG圆柱壳的固有频率。与已有文献的分析结果进行对比,验证了文中研究的准确性。研究表明,液体对FG圆柱壳的固有频率有着明显的影响,轴向半波数、边界条件和壳体长度与半径比对固有频率的影响主要表现在周向波数较小的情况下。

Coupled Vibration of Fluid-filled Functionally Graded Material Cylindrical Shell

The coupled vibration of fluid-filled cylindrical shell based on functionally graded material (FG) is presented. The study is carried out using Love’s thin shell theory. Based on wave propagation method the equation of motion of the coupled system with the fluid effect is derived.By means of conversion switch on axial wave number, the coupled frequency of FG cylindrical shell with various boundary conditions is obtained. Then the frequency of fluid-filled FG cylindrical shell with different boundary conditions is illustrated by examples.The present analysis is validated by comparing results with those in the literature. The results show that the influences of liquids on natural frequencies of fluid-filled FG cylindrical shell are obvious.The effects of axial half wave number,boundary condition and ratio of length to radius on natural frequencies have mainly manifested in the cases of low circumferential wave numbers.