Investigation of area mobility of a finite thin plate subject to a uniform velocity excitation

The methods for theoretically calculating area mobility of a finite thin plate are derived for a typical excitation pattern,uniform velocity excitation,over a contact area.In the derivation,the contact area is discretised into sub-regions and the excitation and response continuously distributed over these sub-regions are simplified as acting at the centers of the sub-regions.Therefore,according to the concept of effective point mobility,the theoretical formula for area mobility of a finite thin plate subject to a uniform velocity excitation is obtained.According to the relation between complex power and area mobility,the measurement method of a finite plate is also obtained by means of transfer point mobility.When comparing results generated by theoretical calculation to patterns measured in experiment,consistent patterns are found,suggesting that the proposed methods are practical.The results of calculation show that the accuracy of theoretical calculation increases with the number of sub-regions and is influenced by the moment caused by the experiment device,especially when the excitation frequency is high.