Investigation on non-linear vibration in arched beam for bridges construction via AGM method

Analyzing and modeling the vibrational behavior of arched bridges during earthquake in order to decrease the exerted damages to the structure is a very hard task to do. In the present paper, this item has been performed analytically for the first time. Due to the importance of arched bridges building as a great structure in the human being civilization and its specifications such as transferring vertical loads to its arcs and the lack of bending moments and shearing forces, this case study is devoted to this special issue. Therefore, the nonlinear vibration of arched bridges has been modeled and simulated by an arched beam with harmonic vertical loads and its behavior has been investigated by analyzing a nonlinear partial differential equation governing on the system. It is notable that the procedure has been done analytically by AGM (Akbari-Ganji's Method). It has found that angular frequency is increased significantly by escalating the amount of the center outlet. Furthermore, comparisons have been made between the obtained results by numerical Method (rkf-45) and AGM in order to assess the scientific validity. Obtained results indicate the precision of the achieved answers by AGM method.