Summary
Cable-stayed bridges have gained significant attention in large-span bridge construction due to their robust structures, aesthetic appeal, and impressive spanning capabilities. These structures, however, are susceptible to considerable vibrations and internal resonance when subjected to load conditions. Accordingly, this study concentrates on the vibrations and nonlinear modal interactions in cable-stayed beam under primary resonance, with a special emphasis on the 2:1 internal resonance. Utilizing Hamilton’s principle for the development of the model and the method of multi-scale for solving, the motion equations and second-order approximate displacement expressions of cable-stayed beam were deduced. Based on these findings, equilibrium and dynamic solutions under different primary resonance conditions were explored to analyze the nonlinear responses of cable-stayed beam. To validate these theoretical insights, corresponding experimental models of cable-stayed beam and testing systems were designed, allowing for a comparative analysis between the experimental and theoretical results.
