Abstract

This paper investigates the vibration response and power transmission for a thin infinite plate which is excited over a rectangular area by a uniform conphase force distribution. The use of the effective point mobility concept allows the distribution of power flow and vibration over the contact region to be determined. The distribution is found to depend on the physical and geometrical properties of the plate and the Helmholtz number (based on the width of the contact region). This demonstrates that the surface mobility of the contact region decreases with increasing frequency of excitation and increasing contact area. The effect of the shape of the contact region on the surface mobility is highlighted by comparing the results for a strip, a circular region and a rectangular region with various aspect ratios for a fixed contact area. Experimental measurements confirm the nature of the relationship between power flow and Helmholtz number for an infinite plate.

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