Constrained Parameter-Splitting Multiple-Scales Method for the Primary/Sub-Harmonic Resonance of a Cantilever-Type Vibration Energy Harvester

DOI10.1142/S0219455423501985OpenAlexW4327738391MaRDI QIDQ6200098

Hai-En Du, Guo-Kang Er, Li-juan Li, Vai Pan Iu

Publication date: 29 February 2024

Published in: International Journal of Structural Stability and Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219455423501985

zbMATH Keywords

perturbation methodFloquet theoryforced vibrationlarge deflectiongeometrically nonlinear cantilever

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX)

Cites Work

• Parameter-splitting perturbation method for the improved solutions to strongly nonlinear systems
• Analytical approximations to primary resonance response of harmonically forced oscillators with strongly general nonlinearity
• Simultaneous energy harvesting and vibration isolation via quasi-zero-stiffness support and radially distributed piezoelectric cantilever beams
• A New Method for the Frequency Response Curve and Its Unstable Region of a Strongly Nonlinear Oscillator
• A Novel Method to Improve the Multiple-Scales Solution of the Forced Nonlinear Oscillators

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