عنوان مقاله [English]
Dynamics of beam structures subjected to various loads have been investigated for over a century. The importance of such a problem arises in the structural design of bridges in which the nature of loading could affect the design parameters substantially. It has been observed that as a bridge structure is subjected to moving masses and earthquake loading, the dynamic deflection and
stresses can be significantly higher than those observed in the static case. Although only the horizontal component of earthquake excitation is taken into account in the modeling of bridges and parallel beams sustaining the bridge deck loads. there exist several pieces of evidences showing that some of the failure modes are in direct relation to the vertical one. Generally, in comparison with the horizontal component of earthquake, however, the vertical one has less power and most part of its influence occurs in a particular frequency domain that could be so destructive to the structures with natural frequency in these domains. In addition, there are clearly many problems of great physical significance in which the load inertia is not negligible and can significantly alter the dynamic behavior of the system; therefore, moving mass is the another important and affective dynamic loads in design of these routine bridges. In this article, the seismic effect of vertical earthquake on the bridges is studied aiming to explore the necessity of simultaneous acts of this force and the moving masses. By proving the intensifying effects of these loads combination via the obtained results, by employing a passive damper system, it is attempted to decrease the mentioned influences on the studied structure. Dampers are used in two ways. and the best one is chosen based on its performance in suppression of the beam deflection. Finally, through analyzing and comparing the results, a simple algorithm is introduced for reducing the sections' dimensions of the bridge structures under this type of loading.