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Moving Harmonic Load on an Elastically Supported Timoshenko Beam
Author(s) -
Chonan S.
Publication year - 1978
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.19780580103
Subject(s) - beam (structure) , timoshenko beam theory , bending moment , moment of inertia , rotary inertia , vibration , bending stiffness , conjugate beam method , inertia , displacement (psychology) , moment (physics) , physics , moving load , constant (computer programming) , harmonic , mechanics , bending , structural engineering , classical mechanics , engineering , optics , acoustics , computer science , psychology , psychotherapist , programming language
An analysis is made of the problem of vibrations of a beam on elastic foundation, when the beam is of infinite length and is subjected to an alternating load which moves with constant velocity along the beam. The solution is presented within the framework of a beam theory which includes the effects of shear deformation and rotary inertia. Critical characteristic parameters of the system are defined. An example is provided where the displacement and the bending moment are calculated. From the results of theoretical analysis, it becomes evident that the frequency of the load has considerable effect upon the dynamical behaviour of the system.