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本文在笛卡儿坐标系下,利用曲线积分方法和平面几何原理,推导出磨损体积与磨损宽度之间的关系式,同时建立了在笛卡儿坐标系下套管磨损宽度与套管磨损深度之间的关系,并在此基础上给出了计算磨损深度的方法。针对套管磨损这一工程问题,结合弹性原理,在双极坐标系下,得到偏磨套管壁厚最小处的剩余应力分布规律及应力计算方法;并应用VB编程语言编制了计算程序,利用相关文献中的实验数据对程序的计算结果进行验证,结果显示利用本文得到的偏磨套管剩余强度与实际的实验数据之间的误差都小于10%,且都小于实验数据,因此应用本文计算方法对预测偏磨套管剩余强度具有一定的实用意义。
In the Cartesian coordinate system, the curve integral method and plane geometry principle are used to derive the relationship between the wear volume and the wear width. At the same time, the relationship between the wear width of the bushing and the wear depth of the bushing is established in the Cartesian coordinate system. And on this basis gives the method of calculating wear depth. Aiming at the engineering problem of casing wear, combined with the principle of elasticity, the residual stress distribution law and stress calculation method are obtained under the condition of bipolar coordinate system with the minimum wall thickness of eccentric wear casing. The calculation program is compiled by using VB programming language. The experimental data in the relevant literature verify the calculation results of the program. The results show that the errors between the remaining strength of the biased abrasive bushing obtained by this paper and the actual experimental data are less than 10%, and both are smaller than the experimental data. Therefore, The method has certain practical significance for predicting the residual strength of eccentric wear casing.