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.
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.
| Original language | English |
|---|---|
| Journal | Zeitschrift für Angewandte Mathematik und Mechanik |
| Early online date | 3 Nov 2017 |
| DOIs | |
| Publication status | E-pub ahead of print - 3 Nov 2017 |