考虑非线性的负刚度阻尼器拉索 多模态减振优化研究.

Cable vibration exhibits multi-mode characteristics. It is imperative to develop new measures for reducing vibration and design methods. Negative stiffness dampers have unique mechanical properties, which can efficiently dissipate vibration energy to achieve excellent vibration reduction effects. However, there is still a lack of optimization design methods to determine parameters reasonably. This study investigates the parameter optimization of negative stiffness dampers for multi-mode vibration of cables using theoretical analysis and numerical simulation methods. Nonlinear damping is taken into consideration. Firstly, dynamic equation of the controlled cable is derived, followed by an analysis of variation law of additional mode damping ratio under single mode to obtain the optimization process of damper parameters under multiple modes. Secondly, a numerical model of the controlled system is established. The proposed optimization design method for negative stiffness dampers is verified using a full-scale cable as an example, and the influence of nonlinear damping is analyzed. The research results indicate that the proposed vibration reduction optimization design method can easily determine the required optimization parameters for multi-mode vibration of cables. The optimized negative stiffness damper can effectively control the time history and frequency response of cables. Nonlinear damping can be utilized to achieve an economic design of dampers. [ABSTRACT FROM AUTHOR]