简支矩形厚板振动中的解析法

Analytic method of simple susain rectangle thick plate in vibration

从弹性动力学通解出发,求解简支矩形厚板在横向周期力作用下应力、位移表达式及厚板振动特征方程.在宽长比为0.5～1,板与最小边长比为0.1～0.3的范围内对简支矩形厚板的基频做了计算,并与薄板理论结果做了比较.

According to the solution of elastic dynamics, stress and displacement equation and thick plate vibration feature equation of rectangle thick plate under oppressing condition of crosswise period force was obtained. The ground frequency of rectangle thick plate was calculated in range of 0.5～1 for a ratio of width to length, 0.1～0.3 for a ratio of thickness to minimum side length. Results was compared with the thin plate theory.