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前言用 Rayleigh 法求解园板自振频率的近似值时所选形状函数(挠曲面)首先要满足园板边界条件。已有文献中园板边界条件仅考虑了简支边和固定边两种.本文根据文献[1]的结论推导出符合于弹性边边界条件的园板自振频率通式而简支边固定边园板自振频率仅为其特例。本文的结论为弹性边园板的动力分析提供一重要基础。
Introduction When Rayleigh method is used to solve the approximate value of the natural frequency of the circular plate, the selected shape function (deflection surface) must first satisfy the boundary condition of the circular plate. In the literature, the boundary condition of the circular plate only considers the simple-supporting edge and the fixed-edge. In this paper, according to the conclusion of the literature [1], the natural vibration frequency of the circular plate, which is in line with the boundary condition of the elastic edge, is deduced and the fixed edge is fixed. The natural frequency is only a special case. The conclusions of this paper provide an important basis for the dynamic analysis of elastic edge plates.