TY - JOUR
T1 - Theoretical analysis of multi-stable energy harvesters with high-order stiffness terms
AU - Huang, Dongmei
AU - Zhou, Shengxi
AU - Litak, Grzegorz
N1 - Publisher Copyright:
© 2018 Elsevier B.V.
PY - 2019/4
Y1 - 2019/4
N2 - This paper mainly focuses on theoretical analysis of multi-stable energy harvesters with high-order stiffness terms to reveal their dynamic response mechanism and enhance energy harvesting performance. A modified Lindstedt–Poincaré method is applied to explicitly find the coupled relationship of the amplitude–frequency response equations which are consistent with the direct results from the traditional method of multiple scales. The nine-valued responses are found and five of them are stable. Meanwhile, complex multi-valued characteristics are observed in the amplitude of the response displacement. Especially, eleven types of interesting dynamic characteristics are found with the variation of the excitation amplitude. Combining with the stability analysis, the dynamic response mechanism of multi-stable energy harvesters is revealed. Furthermore, the influences of high-order nonlinear coefficients on the response are analyzed. The selection of high-order nonlinear coefficients for obtaining high-energy oscillations over a wide frequency range is analyzed.
AB - This paper mainly focuses on theoretical analysis of multi-stable energy harvesters with high-order stiffness terms to reveal their dynamic response mechanism and enhance energy harvesting performance. A modified Lindstedt–Poincaré method is applied to explicitly find the coupled relationship of the amplitude–frequency response equations which are consistent with the direct results from the traditional method of multiple scales. The nine-valued responses are found and five of them are stable. Meanwhile, complex multi-valued characteristics are observed in the amplitude of the response displacement. Especially, eleven types of interesting dynamic characteristics are found with the variation of the excitation amplitude. Combining with the stability analysis, the dynamic response mechanism of multi-stable energy harvesters is revealed. Furthermore, the influences of high-order nonlinear coefficients on the response are analyzed. The selection of high-order nonlinear coefficients for obtaining high-energy oscillations over a wide frequency range is analyzed.
KW - High-order stiffness
KW - Multi-stable energy harvesting
KW - Nonlinear analysis
KW - Theoretical solutions
UR - https://www.scopus.com/pages/publications/85054320894
U2 - 10.1016/j.cnsns.2018.09.025
DO - 10.1016/j.cnsns.2018.09.025
M3 - 文章
AN - SCOPUS:85054320894
SN - 1007-5704
VL - 69
SP - 270
EP - 286
JO - Communications in Nonlinear Science and Numerical Simulation
JF - Communications in Nonlinear Science and Numerical Simulation
ER -