FREE-VIBRATION ANALYSIS OF RECTANGULAR-PLATES WITH INTERIOR ELASTIC POINT SUPPORTS

A new type of admissible function is used to study free, flexural vibr ation problems for rectangular plates with arbitrary interior elastic point supports. The one-dimensional deformation function of a beam wit h point load is applied in forming the admissible deformation shape fu nction of a plate with a corresponding boundary condition. This study provides an extension of the classical solution in the vibration analy sis of a plate with interior elastic point supports. The extended solu tion allows one to solve this type of problem easily when compared to other solutions available in the literature. Numerical results are pre sented for a number of specific problems, including convergence and ac curacy of the approach, which include natural frequencies and mode sha pes of some typical plates with interior point supports.