# Evaluation of Mechanical Performance of a New Disc Spring-Cable Counter Pressure Shock Absorber
## 1 Introduction
[PERSON] & [PERSON] [16] took the Shanghai Center Tower as the research object, and studied the axle-weight ratio of the giant column and the core tube, the internal force response and acceleration response of the outrigger truss and the ring truss under the vertical seismic action. The results showed that the vertical seismic response of the structure gradually increases with the increase of the structure height. [PERSON] [17] studied the impact of vertical seismic force on the seismic performance of different structural forms of bridge piers based on Midas Civil platform. It was found that the main impact of vertical seismic force on bridge piers is to weaken their strength, while the impact on pier top displacement is relatively small. [PERSON] & [PERSON] [18] studied the seismic protection effect of the vertical isolation devices on ancient statues in a base isolated museum building, which showed that the ancient statue can be protected efficiently against three dimensional earthquake excitations using suitable isolation devices. [PERSON] & [PERSON] [19] conducted structural response spectrum analysis on building structure of the Fukushima Nuclear Power Plant in Japan, indicating that the peak acceleration recorded near the foundation is greater than the design basis seismic motion, and isolation structures may amplify the vertical seismic effect. In recent years, disc springs have been increasingly favored due to their central self-resetting ability and convenient application in vibration control of different types of engineering structures [20; 21; 22]. [PERSON] & [PERSON] [23] derived calculation formulas of uniform-section disc springs to aid the designer in arriving at suitable characteristics by choice of spring geometry. Since then, many scholars have conducted further in-depth researches. [PERSON] [24] proposed a correction calculation formula for the disc spring considering the friction between the discs based on the Almen-Laszlo research. [PERSON] [25] used experimental data and LS-DYNA simulation data to test the hypothesis proposed by [PERSON] and [PERSON] during the formula derivation--\"the disc part of the diaphragm spring only has rigid rotation without bending deformation after being subjected to external loads\", and obtained a conclusion that contradicts this hypothesis with reality. [PERSON] et al. [26] proposed a more simplified calculation method for the force and deformation of the disc spring based on the principles of energy equivalence and friction, and verified the correctness and rationality of this method through finite element simulation and experimental comparison. [PERSON] [27] tested the combination disc spring under continuous loading and loading-unloading test methods, and compared the load-displacement curve of the disc spring with the simulation results of the traditional Almen-Laszlo formula, verifying the rationality of the traditional calculation method. [PERSON] & [PERSON] [28] also proposed an improved method for calculating the load-displacement of the disc spring by considering the radial rotation side of the disc spring in the form of energy method, and verified it through finite element and experimental comparison. [PERSON] et al. [29], and [PERSON] et al. [30] studied the mechanical behavior and failure mechanism of pre-compressed composite disc springs. The results showed that the disc springs exhibited good center self-resetting performance and energy dissipation capacity. [PERSON] et al. [31] proposed a novel self-centering buckling restrained brace (SC-BRB), which consists of a square outer steel tube, a group of disc springs, a steel core and so on. The results showed that the SC-BRB exhibits a flag-shaped hysteresis response with a small residual deformation and a moderate energy dissipation capability. [PERSON] et al. [32] assessed the seismic performance of pre-pressed spring self-centering energy dissipation (PS-SCED) braces in comparison to conventional steel-braced frames (CSBFs) and buckling restrained-braced frames (BRBFs).