Global nonlinear distributed-parameter model of parametrically excited piezoelectric energy harvesters

DOI10.1007/s11071-011-0059-6zbMath1325.74066OpenAlexW1969619073MaRDI QIDQ437295

Abdessattar Abdelkefi, Ali Hasan Nayfeh, Muhammad R. Hajj

Publication date: 17 July 2012

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-011-0059-6

zbMATH Keywords

method of multiple scalescantilever beamGalerkin discretizationpitchfork bifurcationEuler-Lagrange principleGauss law

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Electromagnetic effects in solid mechanics (74F15) Dynamical bifurcation of solutions to dynamical problems in solid mechanics (74H60)

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Cites Work

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• Resonant non-linear normal modes. I: Analytical treatment for structural one-dimensional systems
• Nonlinear nonplanar dynamics of parametrically excited cantilever beams
• Reduced-order models of weakly nonlinear spatially continuous systems
• On the discretization of distributed-parameter systems with quadratic and cubic nonlinearities
• Multimode Interactions in Suspended Cables
• Linear and Nonlinear Structural Mechanics

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