Transmission of vibration and energy through layered and jointed plates subjected to shock excitation

Abstract

In this article, the vibration and energy transmission characteristics at the multiple interfaces of layered and jointed plates associated with friction are studied as a function of the shock loading amplitude using the established ‘sphere-joint assembled multi-layered plates’ model. The dynamic responses at the multiple interfaces under shock excitation are calculated using finite element analysis. The transmissions of vibration and energy through the multiple interfaces are characterized by the defined vibration and energy transmission ratios. Results show that the acceleration amplitudes at different interfaces increase nonlinearly with the shock amplitude and they are approximated by a third-order polynomial function. The acceleration amplitude nonlinearly decreases along the transmitting interfaces and the maximum attenuation occurs between the first and second transmitting interfaces. A minimum vibration transmission ratio is observed for the range of shock amplitude considered and the value of shock amplitude leading to the minimum is identical for different transmitting interfaces. It is also shown that the energy transmission ratio exhibits a nonlinear behaviour similar to that of the vibration transmission ratio. The expression for determining the shock amplitude resulting in peak energy transmission ratio at the input interface is also presented. Experimental validation is performed, which shows good agreement with numerical results.