AbstractThe non‐linear dynamic analysis of three‐dimensional long‐span cable‐stayed bridges when subjected to seismic loading is formulated. All possible sources of non‐linearity, such as cable sag, axial force‐bending moment interaction in bridge towers and girders and change of geometry of the whole bridge due to large displacements are considered in the analysis. Both cases of uniform and multiple‐support seismic excitations are considered in the non‐linear formulation of the problem. A tangent stiffness, iterative procedure is utilized to capture the the non‐linear seismic response. The non‐linear equations of motion are solved using a step‐by‐step integration technique in the real displacement coordinate space as well as in the modal coordinate space to
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