Determination of elastic constants of orthotropic plates by a modal analysis/Rayleigh-Ritz technique

The first part of this paper describes a computer programme in which equations derived by the Rayleigh-Ritz technique are used to model the vibrations of rectangular orthotropic plates. The characteristic functions of vibrating beams were used as the assumed functions for plates with boundary conditions consisting of clamped and free edges. Natural frequencies and mode shapes from the programme were verified by finite element analysis and modal analysis for square aluminium and graphite/epoxy plates. The plate vibration model was then incorporated into a second computer programme which was desgned to use the measured natural frequencies of orthotropic plates to determine the four apparent elastic constants. Natural frequencies measured by an impulse technique were used to determine two Young's moduli, the in-plane shear modulus, and a Poisson ratio for each plate.

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