The analysis of piezomagnetoelastic energy harvesters under broadband random excitations

Abstract

This paper presents an analysis of piezomagnetoelastic energy harvesters under broadband random ambient excitations for the purpose of powering low-power electronic sensor systems. Their nonlinear behavior as a result of vibration in a magnetic field makes piezomagnetoelastic energy harvesters different from classical piezoelastic energy harvesters. An equivalent linearization-based analytical approach is developed for the analysis of harvested power. A closed-form approximate expression for the ensemble average of the harvested power is derived and validated against numerical Monte Carlo simulation results. Our results show that it is possible to optimally design the system such that the mean harvested power is maximized for a given strength of the input broadband random ambient excitation. V

Fundamental issues in nonlinear wideband-vibration energy harvesting

“…White noise is widely used in physics and engineering [14][15][16][17] and is also important in studying broadband energy harvesting [13,[18][19][20][21][22][23]. If the vibration spectrum is flat over the frequency range of the harvester, the harvester itself provides a cutoff, making the infinite bandwidth of white noise a meaningful idealization.…”

Analysis of magnetopiezoelastic energy harvesters under random excitations: an equivalent linearization approach

“…Solving Equation (21) and then simplifying the resulting expression we obtain the final relation between a 0 and σ x (for details see Ali et al 26 ) and which is given as…”

“…a 0 and b 0 and equate them to zero individually. Finally we get, As a special case if we assume that x(t) is a Gaussian random process, the expressions in Equations (5) and (6) can be further simplified 24,25 as, (for details refer Ali et al 26 )…”

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

“…Gammaitoni et al [9] and Masana and Daqaq [14] discussed the conditions of inter-well hopping. In fact, the Duffing oscillator, as the simplest model, was used for many energy harvesting simulations, with the addition of electromechanical coupling for the harvesting circuit [15][16][17][18][19]. McInnes et al [20], Kwuimy et al [21] and Martens et al [22] investigated the stochastic resonance phenomena for a nonlinear system with a double potential well.…”