Lin, Wei; Páez Chávez, Joseph; Liu, Yang; Yang, Yingxin; Kuang, Yuchun Stick-slip suppression and speed tuning for a drill-string system via proportional-derivative control. (English) Zbl 07193537 Appl. Math. Modelling 82, 487-502 (2020). MSC: 93 70 PDF BibTeX XML Cite \textit{W. Lin} et al., Appl. Math. Modelling 82, 487--502 (2020; Zbl 07193537) Full Text: DOI
Liu, Yang; Lin, Wei; Páez Chávez, Joseph; De Sa, Rulston Torsional stick-slip vibrations and multistability in drill-strings. (English) Zbl 07187298 Appl. Math. Modelling 76, 545-557 (2019). MSC: 37 93 PDF BibTeX XML Cite \textit{Y. Liu} et al., Appl. Math. Modelling 76, 545--557 (2019; Zbl 07187298) Full Text: DOI
Khajiyeva, Lelya; Kudaibergenov, Askar; Kudaibergenov, Askat The effect of gas and fluid flows on nonlinear lateral vibrations of rotating drill strings. (English) Zbl 07263364 Commun. Nonlinear Sci. Numer. Simul. 59, 565-579 (2018). MSC: 00 PDF BibTeX XML Cite \textit{L. Khajiyeva} et al., Commun. Nonlinear Sci. Numer. Simul. 59, 565--579 (2018; Zbl 07263364) Full Text: DOI
Lu, Chengda; Wu, Min; Chen, Xin; Cao, Weihua; Gan, Chao; She, Jinhua Torsional vibration control of drill-string systems with time-varying measurement delays. (English) Zbl 1448.93100 Inf. Sci. 467, 528-548 (2018). MSC: 93B52 93C43 70L05 PDF BibTeX XML Cite \textit{C. Lu} et al., Inf. Sci. 467, 528--548 (2018; Zbl 1448.93100) Full Text: DOI
Vaziri, Vahid; Kapitaniak, Marcin; Wiercigroch, Marian Suppression of drill-string stick-slip vibration by sliding mode control: numerical and experimental studies. (English) Zbl 1402.74043 Eur. J. Appl. Math. 29, No. 5, 805-825 (2018). MSC: 74H45 93B12 93D05 PDF BibTeX XML Cite \textit{V. Vaziri} et al., Eur. J. Appl. Math. 29, No. 5, 805--825 (2018; Zbl 1402.74043) Full Text: DOI
Carcione, José M.; Poletto, Flavio; Pinna, Giorgia Simulation of flexural waves in drill pipes including the effects of the gravitational field. (English) Zbl 1360.74157 Wave Motion 50, No. 2, 310-325 (2013). MSC: 74S30 74J20 PDF BibTeX XML Cite \textit{J. M. Carcione} et al., Wave Motion 50, No. 2, 310--325 (2013; Zbl 1360.74157) Full Text: DOI Link
Pei, YongChen; Sun, YouHong; Wang, JiXin Dynamics of rotating conveying mud drill string subjected to torque and longitudinal thrust. (English) Zbl 1293.74197 Meccanica 48, No. 9, 2189-2201 (2013). MSC: 74H45 74F10 74K05 PDF BibTeX XML Cite \textit{Y. Pei} et al., Meccanica 48, No. 9, 2189--2201 (2013; Zbl 1293.74197) Full Text: DOI
Kreuzer, E.; Steidl, M. Controlling torsional vibrations of drill strings via decomposition of traveling waves. (English) Zbl 1293.74187 Arch. Appl. Mech. 82, No. 4, 515-531 (2012). MSC: 74H45 74M05 74K05 PDF BibTeX XML Cite \textit{E. Kreuzer} and \textit{M. Steidl}, Arch. Appl. Mech. 82, No. 4, 515--531 (2012; Zbl 1293.74187) Full Text: DOI
Gulyaev, V. I.; Gaidachuk, V. V.; Glushakova, O. V. Andronov-Hopf bifurcations in wave models of torsional vibrations of drill strings. (English. Ukrainian original) Zbl 1272.74319 Int. Appl. Mech. 46, No. 11, 1275-1283 (2011); translation from Prikl. Mekh., Kiev 46, No. 11, 73-83 (2010). MSC: 74H60 74H45 74K05 PDF BibTeX XML Cite \textit{V. I. Gulyaev} et al., Int. Appl. Mech. 46, No. 11, 1275--1283 (2011; Zbl 1272.74319); translation from Prikl. Mekh., Kiev 46, No. 11, 73--83 (2010) Full Text: DOI
Ritto, T. G.; Soize, C.; Sampaio, R. Probabilistic model identification of the bit-rock-interaction-model uncertainties in nonlinear dynamics of a drill-string. (English) Zbl 1272.74465 Mech. Res. Commun. 37, No. 6, 584-589 (2010). MSC: 74L10 74S60 PDF BibTeX XML Cite \textit{T. G. Ritto} et al., Mech. Res. Commun. 37, No. 6, 584--589 (2010; Zbl 1272.74465) Full Text: DOI Link
Karkoub, M.; Zribi, M.; Elchaar, L.; Lamont, L. Robust \(\mu\)-synthesis controllers for suppressing stick-slip induced vibrations in oil well drill strings. (English) Zbl 1379.74017 Multibody Syst. Dyn. 23, No. 2, 191-207 (2010). MSC: 74M05 74B20 74K10 93B50 93B51 PDF BibTeX XML Cite \textit{M. Karkoub} et al., Multibody Syst. Dyn. 23, No. 2, 191--207 (2010; Zbl 1379.74017) Full Text: DOI
Ritto, T. G.; Soize, C.; Sampaio, R. Robust optimization of the rate of penetration of a drill-string using a stochastic nonlinear dynamical model. (English) Zbl 1398.74088 Comput. Mech. 45, No. 5, 415-427 (2010). MSC: 74F10 74L10 74H45 74H50 70-08 74H15 74K10 74P10 PDF BibTeX XML Cite \textit{T. G. Ritto} et al., Comput. Mech. 45, No. 5, 415--427 (2010; Zbl 1398.74088) Full Text: DOI
Carcione, José M.; Poletto, Flavio; Farina, Biancamaria Simulation of axis-symmetric seismic waves in fluid-filled boreholes in the presence of a drill string. (English) Zbl 1154.86001 Comput. Geosci. 12, No. 4, 593-604 (2008). MSC: 86A15 35L05 35S99 47G30 65M70 74J15 93C20 PDF BibTeX XML Cite \textit{J. M. Carcione} et al., Comput. Geosci. 12, No. 4, 593--604 (2008; Zbl 1154.86001) Full Text: DOI
Sampaio, R.; Piovan, M. T.; Lozano, G. Venero Coupled axial/torsional vibrations of drill-strings by means of nonlinear model. (English) Zbl 1192.74185 Mech. Res. Commun. 34, No. 5-6, 497-502 (2007). MSC: 74H45 74K05 PDF BibTeX XML Cite \textit{R. Sampaio} et al., Mech. Res. Commun. 34, No. 5--6, 497--502 (2007; Zbl 1192.74185) Full Text: DOI
Tan, Mei-Lan; Wang, Xin-Wei New method for geometric nonlinear analysis of large displacement drill strings. (English) Zbl 1144.74380 Appl. Math. Mech., Engl. Ed. 26, No. 7, 921-928 (2005). MSC: 74S05 74K05 33F05 74K10 PDF BibTeX XML Cite \textit{M.-L. Tan} and \textit{X.-W. Wang}, Appl. Math. Mech., Engl. Ed. 26, No. 7, 921--928 (2005; Zbl 1144.74380) Full Text: DOI
van der Heijden, G. H. M. A robust variational formulation for a rod subject to inequality constraints. (English) Zbl 1118.74326 Gao, David Y., Complementary, duality and symmetry in nonlinear mechanics. Proceedings of the IUTAM symposium, Shanghai, China, August 13–16, 2002. Dedicated Professor Wei-Zhang Chien on the occasion of his 90th birthday. Boston, MA: Kluwer Academic Publishers (ISBN 1-4020-7887-0/hbk). Advances in Mechanics and Mathematics 6, 314-325 (2004). MSC: 74K10 74G65 74G60 PDF BibTeX XML Cite \textit{G. H. M. van der Heijden}, Adv. Mech. Math. 6, 314--325 (2004; Zbl 1118.74326)
Tucker, Robin W.; Wang, Charles Torsional vibration control and Cosserat dynamics of a drill-rig assembly. (English) Zbl 1018.74506 Meccanica 38, No. 1, 145-161 (2003). MSC: 74H45 74K10 PDF BibTeX XML Cite \textit{R. W. Tucker} and \textit{C. Wang}, Meccanica 38, No. 1, 145--161 (2003; Zbl 1018.74506) Full Text: DOI
Carcione, José M.; Poletto, Flavio Electric drill-string telemetry. (English) Zbl 1036.78004 J. Comput. Phys. 186, No. 2, 596-609 (2003). MSC: 78A25 86A25 78M25 PDF BibTeX XML Cite \textit{J. M. Carcione} and \textit{F. Poletto}, J. Comput. Phys. 186, No. 2, 596--609 (2003; Zbl 1036.78004) Full Text: DOI
van der Heijden, G. H. M.; Champneys, A. R.; Thompson, J. M. T. Spatially complex localisation in twisted elastic rods constrained to a cylinder. (English) Zbl 1006.74521 Int. J. Solids Struct. 39, No. 7, 1863-1883 (2002). MSC: 74K10 PDF BibTeX XML Cite \textit{G. H. M. van der Heijden} et al., Int. J. Solids Struct. 39, No. 7, 1863--1883 (2002; Zbl 1006.74521) Full Text: DOI
van der Heijden, G. H. M. The static deformation of a twisted elastic rod constrained to lie on a cylinder. (English) Zbl 1014.74043 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 457, No. 2007, 695-715 (2001). MSC: 74K10 37N15 PDF BibTeX XML Cite \textit{G. H. M. van der Heijden}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 457, No. 2007, 695--715 (2001; Zbl 1014.74043) Full Text: DOI
Liu, Yanqiang Method of equilibrium differential equation for analysis of strength of large deflection drill string. (English) Zbl 0967.74616 Appl. Math. Mech., Engl. Ed. 21, No. 11, 1292-1299 (2000). MSC: 74S30 74K05 PDF BibTeX XML Cite \textit{Y. Liu}, Appl. Math. Mech., Engl. Ed. 21, No. 11, 1292--1299 (2000; Zbl 0967.74616) Full Text: DOI
Cull, S. J.; Tucker, R. W. On the modelling of Coulomb friction. (English) Zbl 0955.74047 J. Phys. A, Math. Gen. 32, No. 11, 2103-2113 (1999). MSC: 74M10 PDF BibTeX XML Cite \textit{S. J. Cull} and \textit{R. W. Tucker}, J. Phys. A, Math. Gen. 32, No. 11, 2103--2113 (1999; Zbl 0955.74047) Full Text: DOI