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Migration Effects in Driven Multiple Pendula
Author(s) -
Schiele K.,
Hemmecke R.
Publication year - 2001
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 - 10.1002/1521-4001(200105)81:5<291::aid-zamm291>3.0.co;2-d
Subject(s) - homogeneous , physics , amplitude , pendulum , atomic physics , optics , statistical physics , quantum mechanics
Abstract We consider a multiple pendulum of equal segments in the plane under homogeneous gravity whose support is horizontally driven by a high frequency and low amplitude harmonic excitation. With the help of the averaging method we are able to describe the motion in an effective potential landscape. Above some threshold of the exciting frequency one observes a migration effect. Then new artificial stable equilibrium positions occur coincidently for all segments. Moreover, stable folded configurations are possible whose observation needs some preparation of the initial state. The stable states can be classified according to their energies.