Abstract
A finite element study is presented for in-plane free vibration of rectangular plates with point supports, i.e., rigid point constraints against two in-plane displacements. The formulation is made by considering the in-plane strain and kinetic energies, and a frequency equation is derived by the standard finite element procedure. In numerical examples, square and rectangular plates are supported at the four corner supports and at an additional central support. Accuracy of the solution is established by convergence tests and comparison with existing results for plates with uniform boundary conditions.
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