导出了轴对称圆板非线性热弹耦合自由振动基本方程 ,对周边固支圆板运用伽辽金法求解 ,得出振幅随时间变化的数值解·　将热弹耦合与非热弹耦合情况进行对比 ,发现振幅较小时 ,热弹耦合效应使板的固有频率相对于无热弹耦合情形提高 ;振幅较大时 ,热弹耦合效应使固有频率降低·　最后比较了不同热弹耦合参数对应的振动情况·　 The basic equation of the nonlinear thermo-elastic coupling free vibration of the axisymmetric circular disc is deduced, and the Galerkin method is used to solve the surrounding circular disc. The numerical solution of the amplitude change with time is obtained. In contrast, it is found that when the amplitude is small, the thermo-elastic coupling effect increases the natural frequency of the plate with respect to the case without thermo-elastic coupling; when the amplitude is large, the thermo-elastic coupling reduces the natural frequency. Finally, the corresponding vibration of different thermo-elastic coupling parameters Happening·