Steady state response analysis of nonlinear piezoelectric energy capture system under bidirectional excitations

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Journal of Vibration and Shock ›› 2022, Vol. 41 ›› Issue (23) : 102-108.

XIA Guanghui1,2,3, KANG Xiaofang1,2,3, LI Cong1, CHEN Leiyu2,3, XU Qinghu1,2,3, MAN Dawei1,2,3

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Abstract

Based on the multi-directionality of the foundation excitation and the low frequency environment in the real environment, the nonlinear steady-state response of the piezoelectric energy harvesting system with an additional end mass cantilever beam subjected to horizontal and vertical two-direction excitations at the fixed base end is studied. Based on Hamilton principle, the nonlinear partial differential equation of a cantilever bimorph piezoelectric energy harvesting system with an additional end mass is derived and analyzed. It is assumed that the cantilever is an axially non elongated Euler Bernoulli beam, and the model mainly includes geometric nonlinearity and damping nonlinearity. By using Galerkin method, the nonlinear partial differential equation is reduced to obtain the electromechanical coupling motion differential equation of cantilever piezoelectric energy harvesting system with end mass under two-direction excitations. The response of piezoelectric energy harvesting system under the main first-order resonance is studied by using the method of multiple scales. The analytical expressions of vertical displacement, output voltage and output power are obtained. The main first-order vertical displacement amplitude, output voltage amplitude and output power amplitude are obtained. The influence of excitation phase on the energy harvesting performance of piezoelectric energy harvesting system under different excitation conditions is analyzed.
Key words: bidirectional excitations; nonlinearity; piezoelectric energy harvesting; method of multiple scales; phase

Key words

bidirectional excitations / nonlinearity / piezoelectric energy harvesting / method of multiple scales / phase

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XIA Guanghui1,2,3, KANG Xiaofang1,2,3, LI Cong1, CHEN Leiyu2,3, XU Qinghu1,2,3, MAN Dawei1,2,3. Steady state response analysis of nonlinear piezoelectric energy capture system under bidirectional excitations[J]. Journal of Vibration and Shock, 2022, 41(23): 102-108

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