Summary
The Timoshenko-Mindlin type wave equation is derived for a plate which is inhomogeneous in material and geometric properties. A numerical analogue to this wave equation for a plate is presented and results of propagation studies of Gaussian and sinusoidal wavepackets along a plate reinforced by ribs of up to five times the thickness of the plate are discussed. Results are presented for an infinite plate supported by two ribs. The plate equation includes consideration of shear and rotary inertia, external loading and plastic-visco-elastic loss. A spectral analysis of the inhomogeneous plate equation is presented.
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Wendlandt, B.C.H., Gaunaurd, G.C. Simulation of vibration of inhomogeneous, loaded plates. Acta Mechanica 103, 227–242 (1994). https://doi.org/10.1007/BF01180228
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DOI: https://doi.org/10.1007/BF01180228