Electromechanical energy absorption, resonance frequency, and low-velocity impact analysis of the piezoelectric doubly curved system

Abstract

In this research, electrically performance, vibration/resonance characteristics, low-velocity impact, and absorbed energy of the piezoelectric doubly curved panel on the viscoelastic substrate is carried out. For modeling the contact force between the structure and impactor, Hertz contact theory is presented. Hamilton’s principle and first-order shear deformation theory (FSDT) are presented for obtaining the governing and boundary condition equations of the structure under the low-velocity impact. Galerkin and Newmark solution procedures are presented for solving the governing equation in displacement, and time domains, respectively. This study's novelty is considering the effect of low-velocity impact on the electromechanical energy-absorption capability and resonance frequency of the piezoelectric doubly curved panel on the viscoelastic substrate. The results section is divided into three sections. The first one studied the impact of applied voltage and elastic parameter of foundation on the displacement field and absorbed energy of the structure during the time domain. The second one presents the influence of circumferential wave number, the thickness of the structure, and applied voltage on the current model's free and forced vibration characteristics under the low-velocity impact. In the third one, the influence of the elastic factor parameter of piezoelectric (c11/c12) and the velocity of the impactor on the indentation, contact force, absorbed energy in the panel, and indenter velocity are investigated in details. The golden result is that the curvature ratio (R1/a) of the doubly curved panel should be more than 3.8 because for R1/a less than 3.8, the structure encounters instability in response. As a desirable result for the designer, as the impactor velocity increases, the electrical panel's absorbed energy improves, and the maximum absorbed energy happens at the lower time of the impact process.