弹性地基上圆环形薄板振动问题的研究

Solutions to the Vibration of Ring Shaped Thin Plate on the Elastic Base

对弹性地基上圆环形薄板的振动问题进行了分析和求解，给出了计算固有频率的公式和必要的数据，所考虑的边界条件是内周边固支、外周边简支和内周边简支、外周边固支两种情况，外径与内径的比值是２．５、３．０、３．５、４．０、４．５、５．０和５．５等七种情况．

The authors have analyzed and solved the problems of vibration of ring shaped thin plate on the elastic base,and presented the formula and the necessary data for calculation of the natural frequency.The boundary conditions concerned are clamped inner edge and simply supported outer edge,simply supported inner edge and clamped outer edge.The number of ratios of outer radius b to inner radius a are considered. [