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Moving Loads on a Pre‐stressed, Elastic Plate Strip
Author(s) -
Adler A. A.,
Reismann H.
Publication year - 1975
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.19750551105
Subject(s) - perpendicular , inertia , constant (computer programming) , boundary value problem , transverse plane , deformation (meteorology) , transverse shear , moving load , shear (geology) , geometry , stress (linguistics) , plate theory , line (geometry) , mechanics , physics , mathematical analysis , mathematics , materials science , structural engineering , classical mechanics , engineering , computer science , composite material , finite element method , linguistics , philosophy , programming language
The response of an infinite, pre‐stressed plate strip under an arbitrarily distributed transverse moving line load is determined. The line of application of the load is perpendicular to the infinite edges, and the constant, uniform prestress is parallel to these edges. The load is assumed to propagate parallel to the infinite edges of the plate at constant speed. The solution of the boundary value problem is presented within the framework of a plate theory which includes the effects of shear deformation and rotatory inertia. It is shown that the character of the deformation and stress field is strongly dependent upon a single parameter which combines load speed and pre‐stress.