Notched Hysteretic Damping Model and Device for Simultaneous Control of Structural Displacement and Acceleration Responses

Abstract

The traditional ideal elasto-plastic hysteresis model performs well in controlling structural displacement, yet its effectiveness in controlling acceleration is often suboptimal. The force equilibrium relationship of a single-degree-of-freedom (SDOF) system reveals that the structural acceleration response is closely related to the damping force at peak displacement. Based on this, a notched bilinear hysteretic model was proposed to make the damping force zero at peak displacement. The displacement and acceleration responses were compared with those of a traditional ideal elasto-plastic model by slowly varying the SDOF parameters to obtain steady-state results. An algorithm for the proposed hysteretic model was established using MATLAB, its integrated control effect on the displacement and acceleration responses of the SDOF was verified by a nonlinear time history analysis, and its optimal control interval and parameters were obtained. A damping device was subsequently developed based on the characteristics of the notched bilinear hysteretic model and its feasibility and mechanical properties were verified through experimental studies. The results showed that a well-designed notched bilinear hysteretic model can effectively control structural displacement while achieving effective control of the acceleration response, thus enabling dual control of both structural displacement and acceleration.