Abstract

A free vibration solution is given for a 45° right triangular cantilever plate. A grid work analogy for plate bending is derived and applied to obtain the first 10 natural frequencies and mode shapes. The grid work solution is shown to give a close comparison with the experimentally determined natural frequencies and nodal patterns for the first five modes. It also is demonstrated that this gridwork solution gives a better comparison with the experimental results than does a particular corresponding Rayleigh Ritz solution.

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