Abstract：A generalized solution procedure is presented for free bending vibration of anistropic rectangular and annular sectorial plates with elastic boundary conditions. For an anistropic annular sectorial plate, the basic theory is simplified through the introduction of a logarithmic radial coordinate. Unified s for the geometric parameters and potential energy for the two different shape are established. Based on improved Fourier series and Hamilton principle, a generalized solving procedure is realized. The generalized solution approach for free bending vibration of plates with both shapes has the advantage of generality, good precision and efficiency. The good convergence and precision of the presented method are attributed to the improve Fourier series of the displacement function, which can eliminate the potential discontinuity of the deflection function and their derivatives. These features of the generalized method are demonstrated by a few numerical examples.
2019, Vol. 40 
