Chaotic Motion of Axial Loaded Beam Bridge Subjected to an Infinite Series of Moving Loads

We presented a novel model which comprises an axial loaded beam bridge subjected to an infinite series of regularly spaced concentrated moving loads. The axial force coupled with the moving loads can lead the vibration of the beam bridge to chaos that drive the system of a given basin and jump to another one, causing damage due to the resulting amplitude jumps. An infinite sequence of moving loads leads to a barrier for conventional nonlinear techniques. The amplification and minification of integral inequality are proposed, which lead to the criteria for chaotic motion directly for the nonlinear system with a half sine pulse excitation avoiding the conventional approximation methods to retain the nature characteristics of the system. The results show the chaotic motion takes place in the system.