On Dynamic Properties of Two Models of Beam on Nonlinear Foundation Subjected to Moving Load
The subjects of consideration are the infinite Bernoulli - Euler and Timoshenko models of a beam resting on a nonlinear visco-elastic foundation. The beams are subjected to a distributed inertialess loading constant in a given sector and moving with a constant velocity. Nonlinearity of the foundation was assumed in the form of a piece-wise linear characteristic of elasticity. Results obtained for the Bernoulli - Euler beam have been compared to the corresponding results obtained for a Timoshenko beam. The considered problems may find same applications in modern transportation systems.
References
R.BOGACZ, On dynamics and stability of continuous systems subjected to a distributed moving load, Ingenieur Archiv, 53, 243-255, 1983.
R.BOGACZ and A.GRZYB, On nonlinear waves propagation in Timoshenko beam subjected to a moving distributed loading, Proc. Noise Control 92, 39-42, Kraków 1992.
T.DAHLBERG, Dynamic interaction between train and track - A literature survey, Report F120, Solid Mechanics, Chalmers University of Technology, Gothenburg, Sweden 1989.
A.GRZYB, Waves in Bernoulli-Euler beam on visco-elastic foundation generated by a moving load [in Polish], Proceedings of the XXXIX Open Seminar on Acoustics OSA'92, 181-192, Kraków 1992.