加热变厚度环板的固有频率

采用薄板线性振动理论分析了厚度沿径向变化的各向同性环形薄板在均匀变温下的自由振动和稳定性问题。分别针对厚度按指数函数和线性函数变化的两种情况，用有限差分法计算了环板在横向夹紧和简支边界条件下的线性固有频率和临界温度。数值结果表明，固有频率的平方与面内变温成线性关系。文中给出许多可供工程设计参考的数值结果。

Natural Frequency of Heated Annular Plates With Variable Thickness

By using linear vibration theory for thin elastic plate,the free vibration andthermal- buckling of the uniformly heated isotropic annular plates with axisymmetrical vari-able thickness are studied.Using finite difference method and considering the plate with ex-poentialy and linearly variable thickness,the linear natural frequency and critical tempeatureof the annular plates with simply supported and clamped boundary conditions are calculated. The numerical results show that a linear relation between the square of the natural frequencyand the in- plane temperature exists. Many numerical results are gives in this paper.