流场中功能梯度材料圆柱壳的频散特性

Dispersion characteristics of functionally graded materials cylindrical shell with flow field

文章基于Love壳体理论和Helmholtz波动方程推导了内外流场作用下功能梯度材料圆柱壳流固耦合振动方程。研究了流场作用下功能梯度壳内传播波的频散特性,并与各向同性圆柱壳进行比较。研究表明:在以拉伸和扭转运动为主的频段上,功能梯度壳体的材料特性改变对各支传播波相速度的影响较大,且扭转运动对应频段所受的影响大于拉伸运动对应的频段,而对弯曲波相速度的影响较小。该文可为水下航行器新型复合材料壳体的波动特性研究提供参考。

Based on the Love’s shell theory and Helmholtz wave equations, the vibration equation about fluid-structure coupling with internal and external flow field is deduced. The dispersion characteristics of propagation waves in FG cylindrical shell with flow field is studied and compared with the isotropic cylin-drical shell. The research shows that in the frequency band the mainly motion components are tension and torsion, the change of material of FG cylindrical shell has great influence on phase velocity of the prop-agation waves. And the effect to torsion is more obvious than tension. However it is less important to the phase velocity of bending wave. This paper can provide reference for studying wave-motion characteristics of non-pressure shell with new style composite material.