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Pendulum energy converter excited by random loads
Author(s) -
Dostal Leo,
Korner Kevin,
Kreuzer Edwin,
Yurchenko Daniil
Publication year - 2018
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.201700007
Subject(s) - pendulum , excited state , hamiltonian (control theory) , control theory (sociology) , kapitza's pendulum , stochastic process , double pendulum , physics , energy (signal processing) , markov process , hamiltonian system , inverted pendulum , statistical physics , classical mechanics , mathematics , computer science , quantum mechanics , mathematical optimization , nonlinear system , statistics , control (management) , artificial intelligence
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.