样条无单元法在弹性薄板振动问题中的应用

Element-free spline method for thin plate vibration analysis

本文以结构动力微分方程和三次B样条函数为基础,按一致质量矩阵,推导出样条无单元法分析弹性薄板动力问题的具体计算格式,并编制了相应的计算程序.该方法适用于不同边界条件的弹性薄板的动力特性分析,计算结果表明,本文方法求解薄板动力的特征值问题具有较高精度、易于实施等优点,用较少的结点离散就能获得较好的结果.

In this paper, the Element-free Spline Method is used for the vibration analysis of the bending thin plate with various boundaries, and the corresponding computing formulas were developed, in which the consistent mass matrix was adopted. Numerical results show that the accuracy of this method for the vibration analysis of elastic bending thin plate is satisfactory. Therefore, it is reasonable and feasible for using the Element-free Spline Method in the vibration problems of thin plate.