###### Abstract  
In view of the weak isolation and shock absorption effect of ordinary isolation bearings at present, a new track damping negative-stiffness device was designed based on the principle of negative stiffness. The principle of negative stiffness was applied to base isolation, and a new isolation system was proposed in which the track-type NSD device and the common isolation layer were connected in parallel. The track-type NSD had the characteristics of clear force transmission, simple structure, and self-resetting ability. The theoretical model of orbital NSD was established, and its hysteretic performance was simulated. The seismic response of a six-story reinforced-concrete-frame isolation structure system with a new track-type-damping negative-stiffness device was analyzed. The seismic responses of the traditional lead rubber bearing isolation model (LRB), the new track-type negative stiffness and lead rubber bearing combined isolation model (NSD), and the new track-type-damping negative stiffness and lead rubber bearing combined isolation model (DNSD) were compared. The results show that, in the same case, compared with the LRB model and NSD model, the DNSD model will further reduce the superstructure acceleration response and displacement response of the isolation system, and the greater the peak value of the input seismic wave, the more obvious the isolation effect of the structural system. The new track damping negative-stiffness device enhances the energy dissipation capacity of the structural system and plays a role in controlling the displacement of the isolation layer. The displacement response of the isolation layer and the ground motion response of the superstructure are reduced at the same time, and the isolation efficiency is improved. t 202212  
stiffness\" in the study of active variable damping control [2]. [PERSON] also introduced the negative-stiffness theory into civil engineering, established a numerical analysis algorithm, combined the developed negative-stiffness isolation device with ordinary rubber bearings, and verified the effectiveness of the negative-stiffness device in reducing structural displacement and acceleration through experiments [3]. Then, in the two-stage benchmark problem of cable-stayed bridges, [PERSON] proposed to compare the negative-stiffness control with active control and passive control, which proves the excellent performance of the pseudo negative-stiffness device [4]. [PERSON] proposed a negative-stiffness device for seismic protection of highway bridge structures [5] and pointed out that the seismic response of bridge structures can be effectively reduced by paralleling the device with the structure and damping device, thus providing positive stiffness. In China, [PERSON] et al. proposed a damping negative-stiffness device and studied its seismic response. The results show that the device cannot only reduce the absolute acceleration response of the superstructure under the action of long-term and short-term earthquakes, but it can also control the displacement response of the isolation layer and improve the isolation efficiency [6]. By applying the principle of negative stiffness to base isolation, [PERSON] proposed a new isolation system in which the negative-stiffness damping device is connected in parallel with the ordinary isolation layer and carried out theoretical research on the system [7]. [PERSON] and others designed a new friction sliding composite isolation system and analyzed it with finite element software. It was concluded that the friction sliding bearing with a small amount of thick rubber bearings and viscous dampers can effectively reduce the residual deformation after the earthquake and the maximum displacement of the isolation layer [8]. [PERSON] et al. proposed a track-type negative-stiffness device and studied its damping control.