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.

中文翻译：

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不同温度和预压下橡胶垫的非线性刚度计算

橡胶弹簧的静态刚度受温度和预压的影响。本文研究了杨氏模量与橡胶温度的关系，并确定了两者之间的定量关系。进一步修改了计算橡胶垫静刚度的近似公式，提出了椭圆近似法和凸系数修正法。另外，考虑了温度对几何非线性的影响。计算非线性刚度的公式包括两个变量：温度和预压。测试和理论计算的结果表明，非线性公式可以很好地近似，并且可以满足工程应用的要求。