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老化与海水侵蚀交替作用下天然橡胶支座中橡胶材料的Mooney-Rivlin模型时变参数的测定与预测

Determination and Prediction of Time-Varying Parameters of Mooney-Rivlin Model of Rubber Material Used in Natural Rubber Bearing under Alternating of Aging and Seawater Erosion.

作者信息

Niu Wanbao, Li Yanmin, Ma Yuhong, Zhao Guifeng

机构信息

Earthquake Engineering Research & Test Center, Guangzhou University, Guangzhou 510405, China.

Guangdong Key Laboratory of Earthquake Engineering & Applied Technique, Guangzhou 510405, China.

出版信息

Materials (Basel). 2023 Jun 29;16(13):4696. doi: 10.3390/ma16134696.

DOI:10.3390/ma16134696
PMID:37445010
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC10342950/
Abstract

In this paper, we examined the parameters of the Mooney-Rivlin model based on the effects of alternative aging and sea corrosion tests for natural rubber bearings and rubber materials in seawater. The model parameters for rubber material used in natural rubber bearings were determined using the least-squares method. Meanwhile, the time-varying law formula of the Mooney-Rivlin model parameters of rubber were fitted, and the fitting and calculated values were compared. Both fitting values and calculated values coincide with each other well. Then, the rubber material parameters were predicted based on the calculated results and combined with nonlinear auto-regressive (NAR). The predicted values were compared with both the fitting and calculated values. The average deviations between predicted and fitting values for and were 2.6% and 5.1%, respectively, and average deviations between predicted and calculated values for and were 5.2% and 4.1%. Compared results show that the predicted values are in good agreement with both the fitting and calculated values; meanwhile, the proposed time-varying law formula of the Mooney-Rivlin model parameters of rubber material have been well verified.

摘要

在本文中，我们基于天然橡胶轴承和橡胶材料在海水环境中的交替老化及海水腐蚀试验效果，研究了Mooney-Rivlin模型的参数。采用最小二乘法确定了天然橡胶轴承中所用橡胶材料的模型参数。同时，拟合了橡胶的Mooney-Rivlin模型参数的时变规律公式，并对拟合值和计算值进行了比较。拟合值和计算值吻合良好。然后，根据计算结果并结合非线性自回归（NAR）对橡胶材料参数进行预测。将预测值与拟合值和计算值进行比较。对于[具体参数1]和[具体参数2]，预测值与拟合值之间的平均偏差分别为2.6%和5.1%，预测值与计算值之间的平均偏差分别为5.2%和4.1%。比较结果表明，预测值与拟合值和计算值均吻合良好；同时，所提出的橡胶材料Mooney-Rivlin模型参数的时变规律公式得到了很好的验证。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3531/10342950/b5b1b025713a/materials-16-04696-g011.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3531/10342950/7ba500b1bb10/materials-16-04696-g001.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3531/10342950/e5b676da8f25/materials-16-04696-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3531/10342950/e2747a24c9e4/materials-16-04696-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3531/10342950/abd562b596b9/materials-16-04696-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3531/10342950/2e861606329e/materials-16-04696-g009.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3531/10342950/140801aed03f/materials-16-04696-g010.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3531/10342950/b5b1b025713a/materials-16-04696-g011.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3531/10342950/7ba500b1bb10/materials-16-04696-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3531/10342950/c81978682006/materials-16-04696-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3531/10342950/e5b676da8f25/materials-16-04696-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3531/10342950/e2747a24c9e4/materials-16-04696-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3531/10342950/abd562b596b9/materials-16-04696-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3531/10342950/2e861606329e/materials-16-04696-g009.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3531/10342950/140801aed03f/materials-16-04696-g010.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3531/10342950/b5b1b025713a/materials-16-04696-g011.jpg

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