不同材料参数薄板振动中的热力耦合效应

Thermo-mechanical coupling effects in vibrations of plates with different properties

利用有限 Hankel变换法 ,导出了周界等温 -弹性支撑圆薄板在激光束辐照下的轴对称耦合热弹性弯曲振动近似解 ;针对具有不同弹性模量和热膨胀系数的薄板进行了热力耦合和非耦合弯曲振动的解析和有限元计算与分析。结果表明 :热力耦合效应使薄板振动的振幅和周期都有所减小 ,其程度与材料的性能参数 (如弹性模量和热膨胀系数等 )密切相关 ,材料弹性模量和热膨胀系数越大 。

By using finite Hankel transform, the paper derives the solution to the thermo mechanically coupled vibrations of an axisymmetric circular plate which is subjected to irradiation of a high power laser beam on one of its surfaces and has boundary conditions of a constant temperature and a special displacement force confinement on its circumference. Three plates of different materials are calculated. The present analytical and FEM results are in accordance with each other and indicate that the effects of thermo mechanical coupling on the thermo elastic vibrations of plates are pertinent to the material properties. For some materials, the effects of thermo mechanical coupling are of significance, and for others, they are of insignificance.