Abstract

Determination of period of vibration is an essential step in understanding the seismic behavior of bridges. In this paper, an analytical solution for the free vibration problem of slab-beam, single-span skewed bridges is derived. It is assumed that the deck acts as a rigid diaphragm, but the effects of cross-frame and elastomeric bearing stiffnesses at the ends of the span are included. Based on the ratio of elastomer to cross-frame stiffness, exact equations for determination of translational and torsional periods of vibration and their corresponding mode shapes are derived. In addition, correlation factors for estimating the translational periods of a skewed bridge from the periods of a straight bridge with the same characteristics are also given. The derived equations are compared with finite element analysis, and it is shown that they are in excellent agreement.

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