This invention discloses a method for optimizing the multimodal
damping ratio of a cable-composite
damper-cable-end
damper system, comprising the following steps: S1, constructing a coupled
system of cable-composite
damper-cable-end damper; S2, calculating the damped vibration frequency,
damping ratio of each mode, and mode shape of the coupled
system; S3, optimizing the multimodal
damping ratio of the coupled system. This invention constructs a coupled system consisting of a conventional damper, a damped damper, and a cable-end damper working collaboratively. Then, using the average normalized damping ratio of the multimodal damping ratio as the optimization index, the method systematically optimizes key parameters such as the stiffness and damping of the composite damper, the damping coefficient of the cable-end damper, and its installation position to achieve an overall and balanced improvement in the damping level of each mode.