WAVE REFLECTIONS IN SEMI‐INFINITELY LONG CYLINDERS WITH ATTACHED SOLID OF REVOLUTION

A numerical procedure is developed for the study of end reflections in a semi‐infinitely long isotropic circular cylinder attached with piezoelectric patch. A hybrid method is employed in the study. It combines the finite element formulation in the piezoelectric patch with a wave function expansion representation in the isotropic cylinder. Reflections due to monochromatic incoming axisymmetric (m = 0) and flexural (m = 1) waves are studied and numerical examples are presented. The end resonance is observed through the numerical examples. For an oscillating end voltage that is out‐of‐phase with the incoming wave, it is possible to extract electrical energy from it, i.e., energy harvesting. Examples of such applied oscillating voltage with a particular radial distribution are given. Furthermore, the effect of the thickness of the piezoelectric patch on the end resonance as well as the harvested energy is studied through the numerical examples.