Abstract
A method is proposed for vibration analysis of a composite structure comprising a plate and frames. This method takes account of the effect of the rigidity of the beams or columns in the frames, which is incorporated in terms of restraining forces acting on the plate or beams in such a way that the continuity of deformation between the plate and frames at the intermediate supporting beams or columns is preserved. The resulting compatibility equations and boundary conditions of the plate and beams give the desired natural frequency equations. A unidirectionally continuous rectangular plate on a flexible simple beam, a unidirectionally continuous rectangular plate on a rigid support, and a rectangular plate on an intermediate frame are treated to illustrate application of the method.
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