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主要研究超弹性材料圆形垫块的非线性载荷-变形关系,基于变分原理获得了圆形垫块在轴对称变形时非线性载荷-变形关系的一般表达式。随后用指数序列之和准确描述了Mooney-Rivlin材料圆形垫块在轴对称变形下的非线性载荷-变形关系,并且这一关系比早期Gent等人提出的经验公式精确得多,更接近有限元计算结果。最后证明了由Raleigh-Ritz法得到的非线性载荷-变形关系受不同的假设形变位移场影响不大。
In this paper, the nonlinear load-deformation relationship of the hyperelastic circular spacer is mainly studied. Based on the variational principle, the general expression of the nonlinear load-deformation relationship of the circular spacer is obtained. Subsequently, the nonlinear load-deformation relationship of the Mooney-Rivlin circular spacer under axisymmetric deformation is accurately described by the sum of exponential sequences. This relationship is much more accurate and closer to the empirical formula proposed by Gent et al. Meta-calculation results. Finally, it is proved that the nonlinear load-deformation relationship obtained by the Raleigh-Ritz method is not affected by the different hypothetical deformation displacement fields.