Contents

Contents Z. Angew. Math. Mech. 98, No. 3, 344–348 (2018) / DOI 10.1002/zamm.201809803 CONTENTS EDITOR’S CHOICE Page 349–366 Leo Dostal, Kevin Korner, Edwin Kreuzer, and Daniil Yurchenko Pendulum energy converter excited by random loads 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. ORIGINAL PAPERS Page 367–387 Renate van Vliet and Andrei V. Metrikine Derivation and verification of a lattice model for bending vibration of a plate Lattice models are successfully used in modelling of fracture of brittle materials. To date, most of the lattice multidimensional (2D and 3D) models known to the authors describe either in-plane or three-dimensional mechanics of the http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Zamm-Zeitschrift Fuer Angewandte Mathematik Und Mechanik Wiley

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Publisher
Wiley
Copyright
Copyright © 2018 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim
ISSN
0044-2267
eISSN
1521-4001
D.O.I.
10.1002/zamm.201809803
Publisher site
See Article on Publisher Site

Abstract

Z. Angew. Math. Mech. 98, No. 3, 344–348 (2018) / DOI 10.1002/zamm.201809803 CONTENTS EDITOR’S CHOICE Page 349–366 Leo Dostal, Kevin Korner, Edwin Kreuzer, and Daniil Yurchenko Pendulum energy converter excited by random loads 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. ORIGINAL PAPERS Page 367–387 Renate van Vliet and Andrei V. Metrikine Derivation and verification of a lattice model for bending vibration of a plate Lattice models are successfully used in modelling of fracture of brittle materials. To date, most of the lattice multidimensional (2D and 3D) models known to the authors describe either in-plane or three-dimensional mechanics of the

Journal

Zamm-Zeitschrift Fuer Angewandte Mathematik Und MechanikWiley

Published: Jan 1, 2018

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