Rong, Dynamic analysis of large displacement cable motion with experimental verification, J.
Analysis and design of three span suspension bridge using midas civil free#
Kamaitis, Numerical analysis of the effects of the bending stiffness of the cable and the mass of structural members on free vibrations of suspension bridges, J. Zhou, et al., Parameter sensitivity study on flutter stability of a long-span triple-tower suspension bridge, J. Nayfeh, Non-linear responses of suspended cables to primary resonance excitations, J. Da Costa, Vibration amplitudes caused by parametric excitation of cable stayed structures, J. Konishi, Non-linear vibrations of cables in three dimensions, Part II: out-of-plane vibrations under in-plane sinusoidally time-varying load, J. Free vibration of summation resonance of suspended-cable-stayed beam. The results show that the coupled structure performs strongly nonlinear and coupled characteristics, which is useful for engineering design.Ĭitation: Chunguang Dong, Zhuojie Zhang, Xiaoxia Zhen, Mu Chen. Additionally, fourth-order Runge-Kutta method is directly used for the dynamic equilibrium equations to complement and verify the analytical solutions. Numerical examples are presented to discuss time history of free vibration of the summation resonance, with and without damping. Then, the dynamic equilibrium equations are solved by means of multiple scales method, the second order approximation solutions of single-modal motion of the coupled structure are obtained. Hamilton's principle is used to derive the dynamic equilibrium equations of the coupled structure. A 3-DOF model of the coupled structure is built, with the main cable and sling (vertical cable) considered to be geometrically nonlinear, and the beam is taken as linear Euler beam.
Free vibration of summation resonance of suspended-cable-stayed beam is investigated in the article.