Identification of the modal characteristics of vibrations of mono span bridge beams on seismic damping supports

Abstract

Abstract: The aim of this work is relative to identification of modal characteristics of beam vibrations of mono span bridge beams on seismic damping supports. This has necessitated the development of a method of calculation of span bridge beams on damping supports and solicited by loads seismic origin. To do this, firstly, the solution of governing differential equation of the movement is presented in form of Fourier, thus reducing it to two ordinary differential equations. Using Krylov’s functions, one able to obtain on the one hand, analytical expressions for determining vibration modes depending on the rigidities of beam damping supports. On the other hand, it is the analytical relationship between frequencies of beam vibrations and the reports of damping support rigidities and those of beams. Obtained results could be useful to engineers and researchers involved in the study of girder bridge structures under stresses of seismic origin.