In the previous papers, both analytic solutions and finite element solutions considering the effects of the shear deformation and the rotary inertia had been presented in order to evaluate natural frequences and mode shapes of suspension bridges. In t...
In the previous papers, both analytic solutions and finite element solutions considering the effects of the shear deformation and the rotary inertia had been presented in order to evaluate natural frequences and mode shapes of suspension bridges. In this study, by including the geometric non-linear term of main cables, the non-linear vibration theory taking into account combined effects of main cables and shear-flexible stiffening girders are presented and solved by using the suspension bridge element. For variation of the vehicle velocity, the static and dynamic behaviors of 3 span hinged suspension bridges subjected to the moving load are investigated.