Analytical Solutions for the Resonance Response of Goupillaud-type Elastic Media Using Z-transform Methods.

摘要

The resonance frequency spectrum is derived for an m-layered Goupillaud medium subjected to a discrete sinusoidal forcing function that varies harmonically with time at one end with the other end held fixed. Analytical stress solutions are derived from a coupled first-order system of difference equations using z-transform methods. The determinant of the resulting global system matrix in the z-space.