スリットの入った片持長方形板の自由振動

概要

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In this paper, free vibration of the cantilever rectangular plate with slit is investigated by using an extended Rayleigh-Ritz method. To apply the method, the plate is considered as an assemblage of several rectangular plates. The plate displacement is presented for each element rectangular plate by interpolation functions corresponding to unknown displacements and slopes at the discrete points which are chosen along the edges, and series of functions which satisfy homogeneous artificial boundary condition. By inserting the boundary conditions in the equations which are given by minimizing the energy functional corresponding to the assumed displacement function, the frequency equation is obtained. In the numerical example, natural frequencies and mode shapes are presented for various aspect ratios of the plate and slit.
一般社団法人日本機械学会の論文
1986-08-25