【摘要】 本文利用哈密顿原理导出了夹层圆板轴对称大幅度自由振动的基本方程，并给出了表板很薄情况下的简化形式。作为算例，利用修正迭代法求出了具有滑动固定边界条件夹层圆板对轴称大幅度自由振动的一种解析解，并由此导出了夹层圆板振幅和振频的解析关系式。更多还原

【Abstract】 In this paper, fundamental equations of the axisymmetric large amplitude free vibration for circular sandwich plates are derived by means of Hamilton principle. In most cases, the sandwich plates are composed of very thin faces, then the preceding fundamental equations are simplified considerably. For an illustrative example, a circular sandwich plate with edge clamped but free to slip is considered, and then we got a pure analytic solution of the axisymmetric large amplitude free vibration with the aid of the modified iteration method,and derived an analytic relation for the amlitude-frequency response.更多还原