求解旋转板、壳振动问题的半解析有限元分析

根据小变形弹性理论,用有限棱柱法解决了旋转板、壳自由振动的问题·通过分析旋转板、壳被分成若干个半解析的环形棱柱单元,位移函数采用环向为解析的三角级数而径向和轴向为离散的插值函数,推导出刚度和质量矩阵,计算了板、壳实例,并与实验值作了对比,得到了很好的结果

Semi-Analysis Finite Elements Method for the Vibrations of Revolve Plates and Shells

On the basis of the three dimensional, linear, small deflection theory of elasticity, a finite prisms method was presented for the vibration of revolve plates and shells with various boundary conditions. The axial symmetry object was divided into a number of circular prisms. Displacement function adopted a trigonometric function in circular direction, a insert value function in radial and axial direction. The stiffness and mass matrices were formed. Calculation results of natural frequencies were presented for different bounder conditions of axial symmetry object,and mode shapes were presented.