Modeling the Restoring Force of a Disc Spring Set with Consideration of Friction Effects
摘要
To study the vertical restoring force model of the three-dimensional composite seismic isolation bearing composed of a disc spring pack and a high-damping rubber bearing, an in-depth analysis was conducted on the force mechanism of the vertical seismic isolation device (DSI device) composed of a disc spring pack. This analysis considered the influence of friction and derived the stiffness curves for the disc spring pack under both loading and unloading conditions. These findings established a trilinear restoring force model with variable initial stiffness for the DSI device. To validate the precision of the restoring force model, hysteresis curves were calculated and evaluated under various loading amplitudes and distinct preload pressures in comparison with the experimental outcomes of the DSI device. Furthermore, the parameter Δ in the restoring force model was investigated based on the refinement model. Additionally, the effect of geometrical defects of the cup springs on the mechanical properties of the cup spring set device was also studied. It is demonstrated that the hysteresis curve of the DSI device is characterized by a trilinear restoring force model with variable initial stiffness when the effect of friction is considered. Furthermore, the initial stiffness is linearly related to the preload pressure within a certain working range of the disc spring set. The main factors affecting the equivalent friction coefficient u in the restoring force model are the friction between the disc springs and between the disc springs and the load plate. The trilinear restoring force model proposed in this study is an effective means to simulate the mechanical characteristics of the DSI device. The calculated equivalent stiffness and equivalent damping of the DSI device, as represented by the equivalent model, exhibit an error of less than 7% compared to the test results. The refinement model was employed to investigate the influence of parameter Δ. The findings indicate that the loading amplitude and the friction coefficient between the conical surfaces of the cup springs exert a negligible impact on the DSI device.