Layout schemes analysis of the cable-bracing-self-balancing inerter system in bending-shear structure

Focusing on a type of cable-bracing inerter system that utilizes positive and negative teeth ball screws to achieve self-balancing properties， this paper explores the prospect of its application in high-rise or super high-rise structures with complex deformation characteristics of bending and shearing. This paper develops a simplified model for the dynamic analysis of bending-shear structures based on the modified Timoshenko beam theory in order to take into account the accuracy and computational efficiency of the simulation of the original structural dynamic characteristics. Three types of cable layout schemes are proposed for the cable-bracing-self-balancing inerter system， and the appropriate cable layouts for the structures with different bending-shear deformation ratios are verified. A quantitative metric is proposed to optimize the anchorage position for structure-specific modal control. The accuracy of the optimization results is confirmed in the time and frequency domains through the application of fixed-point theory for single-modal control. The following conclusions can be derived. The higher the percentage of bending deformation of the structure is， the more effective the vertical connection of the cables will be， and the more effective the diagonal connection will be as the percentage of shear deformation increases. With regard to structure-specific modal control， the optimized anchorage position and fixed-point theory methods can significantly increase the damping efficiency of the inerter system.