Theoretical, numerical and experimental investigation into vibration characteristics for composite structures of an annular membrane internally connected with a piezoceramic disk

This work analyzed the vibration characteristics of an annular membrane internally connected with a piezoceramic disk theoretically, numerically and experimentally. The general solution for the free vibration of an annular membrane under uniform tension was derived. Then, the displacement solutions for the piston modes and coupled modes of an annular membrane internally connected with a piezoceramic disk were derived. Two plate theories, Kirchhoff and Mindlin plate theories, were used to simulate the piezoceramic disk. The theoretical results are compared with the numerical results obtained from two finite element software packages: ABAQUS and COMSOL. The amplitude-fluctuation electronic speckle pattern interferometry was used to measure the resonant frequencies and associated mode shapes of five different type specimens with different sizes. Good agreements of dynamic characteristics determined by theoretical analysis, experimental measurements, and numerical calculation are presented for the annular membrane internally connected with piezoceramic disk structures.