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基于Yeoh修正模型的牙轮钻头平面橡胶圈密封效果改善预测

The Sealing Effect Improvement Prediction of Flat Rubber Ring in Roller Bit Based on Yeoh_Revised Model.

作者信息

Zhou Wei, Wang Chengwen, Fan Peng, Kuang Yuchun, Dong Zongzheng

机构信息

School of Petroleum Engineering, China University of Petroleum (East China), Qingdao 266580, China.

Mechatronic Engineering College, Southwest Petroleum University, Chengdu 610500, China.

出版信息

Materials (Basel). 2022 Aug 11;15(16):5529. doi: 10.3390/ma15165529.

Abstract

In a roller bit, the flat rubber ring (FRR) often needs to apply a certain amount of compression to ensure that its rotation and static sealing surfaces can be stably sealed. For the predicted Mises stress, values smaller than the actual Mises stress due to soft single-axis compression (SAC) stress are predicted by the Yeoh (N = 3) model. To more reasonably predict stress under the static compression of the FRR in the roller bit, the sealing effect of the FRR based on the SAC contact stress and the calculated Mises stress was evaluated by the Yeoh_revised model. Based on the assumption that hydrogenated nitrile-butadiene rubber (HNBR) is isotropic and incompressible, first, we derived the fitting formulas for three types of constitutive models and the Jacobi matrix of the Yeoh_revised model and developed hyperelastic constitutive subroutines. Simultaneously, the accuracy of three models (Yeoh, Yeoh_revised and Ogden) was evaluated by the goodness of fit (R) to data from three kinds of tensile experiment tests. The highest R is 0.9771 with the Yeoh_revised model, which merges the advantages of the other two fitting models and effectively improves the Yeoh model's soft property of SAC contact stress. Additionally, by measuring on-site FRR wear, the maximum Mises stress on the sealing surface calculated based on the Yeoh_revised model is about twice that of the Yeoh model, and the maximum Mises stress on the rotation contact sealing surface is higher than that on the outside (static sealing) surface, which makes the aging of the rotation surface more severe. Thus, it was demonstrated that, on the premise of ensuring FRR sealing contact stress, the Yeoh_revised model can more reasonably predict the sealing effect of the FRR to more precisely calculate Mises stress than the Yeoh model. This also contributes to FRR structure optimization to prolong the service life of the FRR in the roller bit.

摘要

在牙轮钻头中,扁平橡胶圈(FRR)通常需要施加一定量的压缩力,以确保其旋转和静态密封表面能够稳定密封。对于预测的米塞斯应力,Yeoh(N = 3)模型预测的值小于由于软单轴压缩(SAC)应力产生的实际米塞斯应力。为了更合理地预测牙轮钻头中FRR静态压缩下的应力,通过Yeoh修正模型评估了基于SAC接触应力和计算出的米塞斯应力的FRR密封效果。基于氢化丁腈橡胶(HNBR)是各向同性且不可压缩的假设,首先,我们推导了三种本构模型的拟合公式以及Yeoh修正模型的雅可比矩阵,并开发了超弹性本构子程序。同时,通过对三种拉伸试验测试数据的拟合优度(R)评估了三种模型(Yeoh、Yeoh修正和Ogden)的准确性。Yeoh修正模型的R最高为0.9771,它融合了其他两种拟合模型的优点,有效改善了Yeoh模型在SAC接触应力方面的软性。此外,通过测量现场FRR磨损情况,基于Yeoh修正模型计算出的密封表面上的最大米塞斯应力约为Yeoh模型的两倍,旋转接触密封表面上的最大米塞斯应力高于外部(静态密封)表面,这使得旋转表面的老化更严重。因此,证明了在确保FRR密封接触应力的前提下,Yeoh修正模型比Yeoh模型能更合理地预测FRR的密封效果,从而更精确地计算米塞斯应力。这也有助于FRR结构优化,以延长牙轮钻头中FRR的使用寿命。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6321/9415284/4f99bd7b3e82/materials-15-05529-g001.jpg

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