Pendulum energy converter excited by random loads. Issue 3 (3rd November 2017)

• Record Type: Journal Article
• Authors: Dostal, Leo; Korner, Kevin; Kreuzer, Edwin; Yurchenko, Daniil
• Is Part Of: Zeitschrift für angewandte Mathematik und Mechanik. Volume 98:Issue 3(2018)
• Page Start: 349
• Page End: 366
• Publication Date: 2017-11-03
• Subjects: Parametric excitation -- pendulum dynamics -- stochastic averaging -- energy harvesting -- random seas -- 60H35; Mathematics -- Periodicals; Mechanics, Applied -- Periodicals; Engineering -- Periodicals; 519
• DOI: 10.1002/zamm.201700007
• Languages: English
• ISSNs: 0044-2267

Abstract

Abstract: We present new solutions for the dynamics of a pendulum energy converter which is vertically excited at its suspension point. Thereby, we deal with a random excitation by a non‐white Gaussian stochastic process. We formulate the pendulum energy converter as a weakly perturbed Hamiltonian system. The random process across the energy levels of the Hamiltonian system is then approximated by a Markov process, which is obtained by stochastic averaging. This procedure leads to analytical results for the energy of the pendulum motion, which are used for analyzing the required probability of reaching higher energy states of the pendulum energy converter in order to maximize the harvested energy. Abstract : The authors present new solutions for the dynamics of a pendulum energy converter which is vertically excited at its suspension point. Thereby, they deal with a random excitation by a non‐white Gaussian stochastic process.They formulate the pendulum energy converter as a weakly perturbed Hamiltonian system. The random process across the energy levels of the Hamiltonian system is then approximated by a Markov process, which is obtained by stochastic averaging. This procedure leads to analytical results for the energy of the pendulum motion, which are used for analyzing the required probability of reaching higher energy states of the pendulum energy converter in order to maximize the harvested energy.