{"title":"Prediction of the flutter envelope and parametric analysis of a flutter-based aeroelastic piezoelectric energy harvester","authors":"Ying Hao, Jinghan Li","doi":"10.1016/j.cnsns.2024.108520","DOIUrl":null,"url":null,"abstract":"This is a comprehensive study on a 2-degree-of-freedom flutter-based aeroelastic piezoelectric energy harvester supported with cubic and quintic nonlinear springs under unsteady airflow. The nonlinear system is simplified by dimension reduction analysis for a high-dimensional multistable system, and the flutter envelope is predicted and the parameters studied to analyze the effect on linear critical flutter velocity and output power. Then, the probability density function is obtained by stochastic averaging, and the influences of airflow disturbance intensity and nonlinear parameters on the most probable response and energy harvesting efficiency are analyzed. Appropriate disturbance intensity reduces flutter speed while increasing amplitude in the plunge direction and output voltage. However, excessive disturbance diminishes energy collection efficiency and may cause system failure.","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"202 1","pages":""},"PeriodicalIF":3.4000,"publicationDate":"2024-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in Nonlinear Science and Numerical Simulation","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1016/j.cnsns.2024.108520","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
This is a comprehensive study on a 2-degree-of-freedom flutter-based aeroelastic piezoelectric energy harvester supported with cubic and quintic nonlinear springs under unsteady airflow. The nonlinear system is simplified by dimension reduction analysis for a high-dimensional multistable system, and the flutter envelope is predicted and the parameters studied to analyze the effect on linear critical flutter velocity and output power. Then, the probability density function is obtained by stochastic averaging, and the influences of airflow disturbance intensity and nonlinear parameters on the most probable response and energy harvesting efficiency are analyzed. Appropriate disturbance intensity reduces flutter speed while increasing amplitude in the plunge direction and output voltage. However, excessive disturbance diminishes energy collection efficiency and may cause system failure.
期刊介绍:
The journal publishes original research findings on experimental observation, mathematical modeling, theoretical analysis and numerical simulation, for more accurate description, better prediction or novel application, of nonlinear phenomena in science and engineering. It offers a venue for researchers to make rapid exchange of ideas and techniques in nonlinear science and complexity.
The submission of manuscripts with cross-disciplinary approaches in nonlinear science and complexity is particularly encouraged.
Topics of interest:
Nonlinear differential or delay equations, Lie group analysis and asymptotic methods, Discontinuous systems, Fractals, Fractional calculus and dynamics, Nonlinear effects in quantum mechanics, Nonlinear stochastic processes, Experimental nonlinear science, Time-series and signal analysis, Computational methods and simulations in nonlinear science and engineering, Control of dynamical systems, Synchronization, Lyapunov analysis, High-dimensional chaos and turbulence, Chaos in Hamiltonian systems, Integrable systems and solitons, Collective behavior in many-body systems, Biological physics and networks, Nonlinear mechanical systems, Complex systems and complexity.
No length limitation for contributions is set, but only concisely written manuscripts are published. Brief papers are published on the basis of Rapid Communications. Discussions of previously published papers are welcome.