Abstract: The frequencies of free vibration and the through-thickness mode shapes for off-axis piezoelectric laminates in cylindrical bending are computed using an exact solution and an approximate discrete-layer theory. In the exact ...

Abstract: A semi-analytic discrete-layer model is presented for the three-dimensional free vibration analysis of laminated cylindrical shells with distributed piezoelectric layers. The discrete-layer theory combines finite-element ...

Abstract: Modes of unrestrained free vibration of rectangular parallelepipeds are excited by impact and combined with solutions to the weak form of the equations of motion corresponding to the 3D equations of elasticity and periodic ...