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Vibrations of a beam on elastic foundation II
Author(s) -
Mathews P. M.
Publication year - 1959
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.19590390105
Subject(s) - beam (structure) , vibration , foundation (evidence) , position (finance) , action (physics) , physics , work (physics) , classical mechanics , zero (linguistics) , mechanics , point (geometry) , mathematics , optics , acoustics , geometry , quantum mechanics , linguistics , philosophy , archaeology , finance , economics , history
In an earlier paper, the equations describing the vibrations of a beam on elastic foundation under the action of an alternating force whose point of application moves along the beam was solved by the author, neglecting damping. The effect of damping is taken into account in the present work, and explicit solutions, valid for all frequencies and velocities of the applied force, are obtained. In qualitative features the most obvious difference from the undamped case is that, for non‐zero velocity, the displacements of the beam are no longer symmetric about the instantaneous position of the applied force, but are greater behind than ahead of this position.