Principles and Applications of Structural Pendular Vibration Control

Aimed at the pendular vibration control problem of the suspended structure, this paper discusses the non-linear differential equation model development and control analysis of the system. Based on the classical Lagrangian principle, the system EOM can be established into two sub-types corresponding to in-plain motion mode and rotary motion mode. The analytical results indicate that different control systems should be considered owing to the diverse motions of the system. Then, theoretical results show that the Tuned Mass Damper (abbreviated as TMD) can not be used for rotary motion control owing to the coupling effect between displacement of TMD mass and structural pendulation angular velocity. Based on thorough numerical analysis, the concept of Tuned Rotary Inertia Damper (abbreviated as TRID) control system is proposed, and the differential equation of the suspended mass with the TRID system is studied. Furthermore, optimization issues of TRID system are equivalent to the classical optimization problem of TMD control. At last, conclusions were extended to vibration control of typical civil engineering structures, such as high-rising tower structure with prior bending deformation characteristics. Whenever its motion or vibration is similar to the single pendulum or inverted pendulum, the in-plain TMD control system will lose its effectiveness and the innovative TRID system should be considered for pendular vibration control of such kind of structures.