Abstract
The nonlinear behaviors and energy harvesting of an unsymmetric cross-ply square composite laminated plate with a piezoelectric patch is presented. The unsymmetric cross-ply square composite laminated plate has two stable equilibrium positions by applying thermal stress, thus having snap-through with larger amplitude between the two stable equilibrium positions relative to the general laminated plate. Based on the von-Karman large deformation theory, the nonlinear electromechanical coupling equations of motion of the unsymmetric composite laminated plate with a piezoelectric patch are derived by using Hamilton’s principle. The influence of the base excitation amplitude on nonlinear behaviors and energy harvesting are investigated. For different base excitation amplitudes, the motions of the system demonstrate periodic motion, quasi-periodic motion, chaotic motion and snap-through, and two single-well chaotic attractors and a two-well chaos attractor coexist. Moreover, the power generation efficiency is optimal when the excitation amplitude is in a certain range due to its own unique nonlinear characteristics. The unsymmetric cross-ply square composite laminated plate subjected to thermal stress can actually be called a kind of bistable composite shell structure that has a broad application prospect in combination with morphing aircraft, large deployable antenna and solar panel, which are very likely to have nonlinear vibration.
Highlights
Vibration phenomenon and its energy are ubiquitous in nature and life
Different from traditional energy-harvesting devices that contain only one stable equilibrium position, this study focuses on nonlinear and bistable characteristics
When the excitation amplitude is in a specific scope, the motions of the plate around the double-well attractor, the energy harvesting can obtain the highest power generation efficiency and the strongest power generation capacity
Summary
Vibration phenomenon and its energy are ubiquitous in nature and life. There are various forms of vibration in various mechanical equipment, vehicles, ocean waves, human activities and so on. Gohari et al [42] utilized inclined piezoelectric actuators to drive the twisting deformation of smart laminated cantilever composite plates/beams; proposed a novel explicit analytical solution for obtaining twisting deformation and optimal shape control and developed a series of simple, accurate and robust finite element (FE) analysis models and realistic electromechanical-coupled. An unsymmetric cross-ply square composite laminated plate and a piezoelectric patch are the main components of the energy-harvesting device. The nonlinear characteristics of the unsymmetric cross-ply square composite laminated plate can cause snap-through and chaotic motions, which greatly enhance the power generation capacity and greatly improve the power generation efficiency of the energy harvester. The unsymmetric cross-ply square composite laminated plate subjected to thermal stress can be called a kind of bistable composite shell structure that has a broad application prospect in combination with morphing aircraft, large deployable antenna and a solar panel, which are very likely to have nonlinear vibrations
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