Stability Analysis of Periodic Orbits in a Class of Duffing-Like Piecewise Linear Vibrators
1 Dept. of Electronics, Electrical Engineering and Automatic Control, Universitat Rovira i Virgili, Tarragona, Spain
2 Dept. de Física Aplicada, Universitat Politècnica de Catalunya UPC, Barcelona, Spain
3 Mechanical Engineering Department King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia
4 Physical Sciences and Engineering Division, King Abdullah University of Science and Technology, Saudi Arabia.
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In this paper, we study the dynamical behavior of a Duffing-like piecewise linear (PWL) springmass-damper system for vibration-based energy harvesting applications. First, we present a continuous time single degree of freedom PWL dynamical model of the system. From this PWL model, numerical simulations are carried out by computing frequency response and bifurcation diagram under a deterministic harmonic excitation for different sets of system parameter values. Stability analysis is performed using Floquet theory combined with Fillipov method.
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