# A Modified Polynomial Hysteretic Model for Asymmetric Vertical Hysteretic Behavior of Inclined Rubber Bearings

**Authors:** Zhixun Li, Yangyang Chen, Zhongling Xiao, Bo Liu

PMC · DOI: 10.3390/polym18060686 · Polymers · 2026-03-12

## TL;DR

This paper introduces a new model to better describe the vertical behavior of inclined rubber bearings under large deformation.

## Contribution

A modified polynomial model is proposed to capture asymmetric vertical hysteresis in inclined rubber bearings.

## Key findings

- Inclined rubber bearings show asymmetric vertical hysteresis not captured by symmetric models.
- The modified polynomial model accurately describes the vertical behavior of inclined rubber bearings.
- Parameter modification and testing verified the model's accuracy and effectiveness.

## Abstract

In the field of mechanical engineering, inclined rubber bearings reduce vertical stiffness through tilted arrangement to effectively isolate environmental vibrations. When applied to large-scale structural engineering, however, further attention must be paid to their vertical hysteretic performance under large deformation, so as to provide a basis for three-dimensional seismic isolation analysis of structures. Traditional seismic design often simplifies the vertical constitutive model of bearings as linear, while tests have shown that the vertical behavior of inclined rubber bearings exhibits significant asymmetric hysteretic characteristics, which cannot be accurately described by existing symmetric constitutive models. In this paper, vertical performance tests are further conducted on inclined rubber bearing specimens, and a modified hysteretic polynomial model is proposed to adapt it to the theoretical description of asymmetric vertical hysteretic behavior of inclined rubber bearings. Through parameter modification, device testing, and comparative analysis of results, the accuracy and effectiveness of the model are verified, providing a theoretical basis for its engineering application.

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## References

30 references — full list in the complete paper: https://tomesphere.com/paper/PMC13029945/full.md

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Source: https://tomesphere.com/paper/PMC13029945