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An equivalent linearization technique for nonlinear piezoelectric energy harvesters under Gaussian white noise
Institution:1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China;2. Department of Mechanics, Shanghai University, Shanghai 200444, China;3. Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai University, Shanghai 200072, China;1. Machine Design Section, Department of Mechanical Engineering, Indian Institute of Technology Madras, Chennai 600036, India;2. College of Engineering, Swansea University, Singleton Park, Swansea SA2 8PP, UK;1. School of Mathematical Sciences, Shanxi University, Taiyuan 030006, China;2. Department of Applied Mathematics, Northwestern Polytechnical University, Xi’an 710072, China;3. School of Applied Science, Taiyuan University of Science and Technology, Taiyuan 030024, China;1. School of Aeronautics, Northwestern Polytechnical University, Xi’an, Shaanxi, 710072, P.R. China;2. Department of Mechanical Engineering, University of Michigan, Ann Arbor, MI 48105, USA;3. Department of Mechanical and Aerospace Engineering, The Ohio State University, Columbus, OH 43210, USA;4. State Key Laboratory for Manufacturing and Systems Engineering, Xi’an Jiaotong University, Xi’an, Shaanxi, 710049, PR China;1. The State Key Laboratory of Fluid Power Transmission and Control, Department of Engineering Mechanics, Zhejiang University, Hangzhou, China;2. Institute of Fluid Mechanics, China Jiliang University, Hangzhou, China
Abstract:An equivalent linearization technique is proposed to determine approximately the output voltage a nonlinear piezoelectric energy harvester excited by Gaussian white noise excitations. Equivalent linear system is derived from minimizing the mean-squared of the error. The linear equivalent coefficients are presented by the method of normal truncation. The exact solution of equivalent linear system is derived obtained. The effectiveness of the method is demonstrated by numerical simulations.
Keywords:Piezoelectric energy harvesting  Equivalent linearization  Gaussian white noise
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