摘要
给出了Ｐａｓｔｅｒｎａｋ地基上简支的横观各向同性圆柱片壳的自由振动的精确解．基于横观各向同 性介质的三维弹性理论，引人３个位移函数，对运动方程进行了简化．对位移函数进行一系列正交化后， 得到３个二阶常微分方程．最后给出耦合振动频率方程．给出了算例，井与壳体理论进行了比较。
This paper presents an exact analysis of the free vibration of simply supported,transversely isotropic cylindrical panels on Pasternak foundation. Based on the three dimensional elasticity for transversely isotropic media, three displacement functions are introduced. As a result, the equations of motion are then simplified. After expanding these functions with orthogonal series,the equations of free vibration problem are further reduced to three second order ordinary differential equations. Modified Bessel function solution with complex arguments is directly used for the case of complex eigenvalues. Numerical examples are presented and compared to the shell theory.
基金
浙江省自然科学基金!(598077)
