In this article, free vibrations of rectangular composite plate with and without a uniformly distributed attached mass are analyzed using the standard Galerkin procedure. The results of free vibrations without distributed attached mass are validated by some common literatures. The stiffness effect of the distributed attached mass is taken into account and the results are compared with those well-known published results in which this effect is not considered. Various results for isotropic and composite rectangular plates under a variety of conditions such as variation in thickness of the plate, variation in thickness of the distributed attached mass, fiber orientations and layup, and various elastic moduli for the distributed attached mass are presented in this article. In simple cases, to verify the results, other theories such as first-order shear deformation theory and classical lamination plate theory are used. Adding the stiffness of the attached mass increases the natural frequencies of the system.
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