本文基於三維彈性力學理論，解析橫斷面等向性圓板之自由振動。在揚棄平板理論假設前提下，由圓柱座標之彈性力學方程式建立圓板振動的位移控制方程組，再運用分離變數法推求其解，從而滿足圓板之各種邊界條件，求得其自由振動頻率。由本文數值結果可探討傳統理論應用於平板振動之適用性。

Free vibration of transversely isotropic circular plates is analyzed on the basis of theory of elasticity without a priori plate assumptions. The governing equations for vibration of transversely isotropic circular plates are derived from the three-dimensional equations of elasticity in the cylindrical coordinates. By means of separation of variables, two sets of solutions are obtained, which enable us to satisfy various edge boundary conditions of the problems and determine the natural frequencies of the circular plates. Numerical results are evaluated and compared with those obtained according to the classical plate theory.

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