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Abstract
The Rayleigh-Ritz method is used, with simple polynomials as admissible functions, to obtain the eigenvalue equation for the free vibration of a rectangular plate which has an internal line support lying along a line describable in terms of a general polynomial. Numerical and graphical results are presented for plates with internal supports lying along straight lines, for which comparison results also exist, and for plates with the supports lying along different types of curves, including a central circular support.
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