Regular and chaotic vibration in a piezoelectric energy harvester with fractional damping

Abstract

Abstract. We examine a vibrational energy harvester consisting of a mechanical resonator with a fractional damping and electrical circuit coupled by a piezoelectric converter. By comparing the bifurcation diagrams and the power output we show that the fractional order of damping changes the system response considerably and affects the power output. Various dynamic responses of the energy harvester are examined using phase trajectory, Fourier spectrum, Multi-scale entropy and 0-1 test. The numerical analysis shows that the fractionally damped energy harvesting system exhibits chaos, and periodic motion, as the fractional order changes. The observed bifurcations strongly influence the power output.

Finite-time synchronization of fractional-order simplest two-component chaotic oscillators

“…It has been found that in many practical cases, systems can be more adequately described using fractional-order differential equations [1][2][3][4][5][6][7][8][9][10][11]. Furthermore, fractional-order derivatives are excellent instruments for the description of memory and hereditary properties of various materials and processes [12].…”

Multiple solutions and corresponding power output of a nonlinear bistable piezoelectric energy harvester

“…Recently, in the context of broadband energy harvesting, bifurcations and chaotic vibrations have been studied in several papers. Cao et al [6,7] studied chaos in the fractionally damped broadband piezoelectric energy generator in a system with additional magnets. Syta et al [8] analysed the dynamic response of piezoelectric material attached to a bistable laminate plate.…”

Modeling and analysis of the friction in a nonlinear sliding-mode triboelectric energy harvester

“…Ordinarily, the possible mechanisms for harvesting ambient energy include electromagnetic mechanism [3,4], piezoelectric mechanism [5,6], pyroelectric mechanism [7,8] and electrostatic mechanism [9,10]. The fundamental principle of the electromagnetic energy harvester can be boiled down to the law of electromagnetic induction.…”