{"title":"Simple model of whirl","authors":"Y. Kovalyshen","doi":"10.1109/CCA.2011.6044459","DOIUrl":null,"url":null,"abstract":"A simple analytical model of bit whirl is presented. The model takes into account the history-dependent boundary conditions at the bit-rock interface. We show that the geometry of the bit can be lumped into only three parameters. Depending on the value of these parameters the system can be stable or undergo forward or backward whirl.","PeriodicalId":208713,"journal":{"name":"2011 IEEE International Conference on Control Applications (CCA)","volume":"88 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2011-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2011 IEEE International Conference on Control Applications (CCA)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CCA.2011.6044459","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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Abstract

A simple analytical model of bit whirl is presented. The model takes into account the history-dependent boundary conditions at the bit-rock interface. We show that the geometry of the bit can be lumped into only three parameters. Depending on the value of these parameters the system can be stable or undergo forward or backward whirl.
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简单的旋转模型
提出了钻头旋转的简单解析模型。该模型考虑了钻头-岩石界面的历史边界条件。我们表明,钻头的几何形状可以集中到只有三个参数。根据这些参数的值,系统可以是稳定的或经历向前或向后旋转。
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