简支梯度压电梁的解析解

Analytical Solution of Simply Supported Gradient Piezoelectric Beam

同时考虑材料弹性参数、压电参数和密度的梯度特性 ,采用逆解法求解了均布荷载作用下简支梁的力—电耦合平面应变问题 .首先给出了应力函数和电位移函数的多项式表达式 ,进而求得了简支梯度压电梁的解析解 ,并对其进行了讨论 .

Considering the gradient characteristic of elastic parameters, as well as piezoelectric parameters and the density, the problem of piezo_electric coupling plane strain for a piezoelectric simply_supported beam subjected to an uniformly_distributed load is studied. First, using inverse method, the polynomials of stress function and induction function are given. Next, the analytical solution is obtained and discussed.