Open AccessAnalysis of a Beam Made of Physical Nonlinear Material on Nonlinear Elastic Foundation under a Moving Concentrated Load
Author(s) -
Esfandiar Mardani
Publication year - 2008
Publication title -
american journal of engineering and applied sciences
Language(s) - English
Resource type - Journals
eISSN - 1941-7039
pISSN - 1941-7020
DOI - 10.3844/ajeassp.2008.324.328
Subject(s) - nonlinear system , foundation (evidence) , beam (structure) , structural engineering , engineering , physics , political science , law , quantum mechanics
A prismatic beam made of a behaviorally nonlinear material was analyzed under a concentrated load moving with a known velocity on a nonlinear elastic foundation with a reaction the vibration equation of motion was derived using Hamilton principle and Euler Lagrange equation. The amplitude of vibration, circular frequency, bending moment, stress and deflection of the beam can be calculated by the presented solution. Considering the response of the beam, in the sense of its resonance, it was found that there is no critical velocity when the behavior of the beam and foundation material is assumed to be physically nonlinear and there are finite values for the deflection, stress and bending moment of the beam whe