Abstract
Estimates of flexural vibration frequencies and modes of homogeneous rectangular plates are initially obtained by the dynamic edge effect method (Bolotin's asymptotic method). After separation of temporal and spatial variables all functions of the dynamic equations are represented by series expansions with respect to the complete set of eigenmodes of the homogeneous rectangular plate. The following types of inhomogeneity are considered: beam stiffeners which are parallel to the sides of the rectangle; elastic point supports and concentrated masses; elastically attached masses. The eigenvalue problems for plates with regular inhomogeneities are solved in closed form. The numerical results for a square plate with a stiffener and for one with a single elastically attached mass are considered and discussed.
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