Abstract

The static stiffness of rubber springs is affected by temperature and prepressure. In this thesis, the relationship between Young’s modulus and temperature of rubber was studied, and the quantitative relationship between them was determined. The approximate formula for calculating the static stiffness of rubber pads was further modified, and the ellipse approximation method and convexity coefficient correction method were proposed. In addition, the influence of temperature on geometric nonlinearity was considered. The formula for calculating nonlinear stiffness includes two variables: temperature and prepressure. The results of tests and theoretical calculations demonstrate that the nonlinear formula can be a good approximation and that it can meet the requirements of engineering applications.

Highlights

  • Rubber components are simple in structure and have buffering and damping effects; they are widely used in vehicles, mechanical equipment, aerospace, and other fields

  • The preload on the rubber spring is constantly changing. e change in static stiffness of rubber springs with temperature and prepressure should be expressed by an appropriate formula, which will be of great significance in further research on the calculation of dynamic performance

  • Accurate calculation of static stiffness is important for calculating the hyperelastic part of the dynamic performance of rubber. erefore, in this thesis, the rubber pad is taken as an example to analyze the material nonlinearity and geometric nonlinearity; the formula for calculating vertical static stiffness, under the combined influence of temperature and prepressure, is established. e formula can predict the static stiffness of rubber more accurately, can meet the requirements of engineering applications, and is of great significance in the theoretical research of dynamic stiffness

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Summary

Introduction

Rubber components are simple in structure and have buffering and damping effects; they are widely used in vehicles, mechanical equipment, aerospace, and other fields. E change in static stiffness of rubber springs with temperature and prepressure should be expressed by an appropriate formula, which will be of great significance in further research on the calculation of dynamic performance. Gajewski [11] presented finite element modeling theory for large deformation and analyzed the effectiveness of different models He [12] proposed a method to estimate the energy dissipation capacity of elastic materials under large deformation; these results are significant in the study of large deformations. Erefore, in this thesis, the rubber pad is taken as an example to analyze the material nonlinearity and geometric nonlinearity; the formula for calculating vertical static stiffness, under the combined influence of temperature and prepressure, is established. Accurate calculation of static stiffness is important for calculating the hyperelastic part of the dynamic performance of rubber. erefore, in this thesis, the rubber pad is taken as an example to analyze the material nonlinearity and geometric nonlinearity; the formula for calculating vertical static stiffness, under the combined influence of temperature and prepressure, is established. e formula can predict the static stiffness of rubber more accurately, can meet the requirements of engineering applications, and is of great significance in the theoretical research of dynamic stiffness

Study of Relationship between Temperature and Young’s Modulus
Calculation of Young’s Modulus at Different
Calculation of Circular Rubber Spring Stiffness
Variation in Geometric Nonlinearity of Rubber Spring with Temperature
Findings
Conclusions
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