采用微分求积法对非线性弹性地基上的正交异性板的振动响应进行数值模拟。采用微分求积技术将偏微分方程转化为离散特征值问题。数值计算结果与相应文献的结果较为接近。数值计算结果表明,约束刚度、平板高宽比和地基刚度对正交异性板具有很大影响。 The differential quadrature method is used to simulate the vibration response of orthotropic plates on nonlinear elastic foundations. Using differential quadrature technique to transform partial differential equations into discrete eigenvalue problems. The numerical results are close to those of the corresponding literature. The numerical results show that the constraint stiffness, the aspect ratio and the stiffness of the foundation have a great influence on the orthotropic plates.