热环境下功能梯度圆柱壳的频散特性  

Dispersion characteristics of functionally graded material cylindrical shells in the thermal environment

作　　者：叶曦[1] 孙永华[1] 刘见华[1] 姚熊亮[2] 

机构地区：[1]中国船舶及海洋工程设计研究院,上海200011 [2]哈尔滨工程大学船舶工程学院,哈尔滨150001

出　　处：《船舶力学》2015年第4期411-419,共9页Journal of Ship Mechanics

基　　金：国家自然科学基金重点项目(50939002);国家自然科学基金青年基金(11402143)

摘　　要：基于经典壳体理论推导了温度场作用下功能梯度材料圆柱壳自由振动方程,研究了沿厚度方向不同温度分布对功能梯度壳体频散特性的影响。研究结果表明:以径向弯曲运动为主的传播波受热效应影响较为显著;温度效应对近场衰减波的影响随着频率的增大而减弱;共轭衰减波向近场衰减波转化的频率随着温度的升高而增大;与满足一维稳态热传导条件的温度分布相比,壳体最大温升相同时,均匀升温对壳体频散特性的影响较大。该文结果可为功能梯度材料结构在热环境中的波动特性研究提供参考。The research about wave-motion characteristics of functionally graded material structure in the thermal environment was presented. Based on the classical shell theory, the free vibration equations of functionally graded cylindrical shells in the different temperature fields were deduced. The results show that the thermal effect is obvious on the propagation wave whose main motion component is bending. The thermal effect on the near-field decaying wave is reduced with the increment of the frequency. The conversion frequency from conjugate decaying waves to near-field decaying waves is increased with the increment of the temperature. Compared with the nonlinear temperature distribution through the thickness which meets the1-D thermal conduction condition, as the same maximum temperature rise, the thermal effect of uniform temperature rise on the dispersion characteristics is more obvious. The results in this paper could provide reference for the research about wave-motion characteristics of functionally graded material in the thermal environment.

关 键 词：圆柱壳 功能梯度材料 频散 热效应 体积分数指数 

分 类 号：O343.2[理学—固体力学]