平面压电结构的径向基函数无网格法

利用压电材料的正、逆压电效应制成的传感器和驱动器在很多领域有广泛的应用．压电结构的机电耦合效应，给问题的求解带来了一定的困难．本文利用无网格法对压电平面问题的控制方程进行求解．利用径向基函数进行插值近似，直接配点法对控制方程进行离散，得到无网格离散的线性控制方程组，最后通过数值计算与分析，验证了方法的可行性以及不同径向基函数对结果的影响．

Radial basis function meshless method of the plane piegoelectric structure

The sensors and actuators of piezoelectric materials are widely applied in many fields. Since the electromechanial coupled effect of the piezoelectric structure, there are some difficulties in solving governing problems. In this paper, a meshless method to solve the governing equations of plane piezoelectric problem is implemented. Interpolation functions are constructed from a radial basis function, and the governing equations are diseretized using a direct collocation approach. Then the discretization linear governing equations will be generated from the meshless method. Hence, the validity of this method and the efficience of different basis functions are shown through the numerical calculation and analysis.