Continuum Mechanics

Professor R.W.Tucker
Publications

1996 The Stability of Extended Drill String Models (with J Schray) Lancaster University, BP Report


1999 Non-linear Flexural Excitations and Drill-String Dynamics (with R Tung, C Wang) Extracta Mathematica 14 (2) 217-246


1999 Drilling Guidelines from the Cosserat Dynamics of a Drilling Assembly (with S Parfitt, C Wang) Submitted for Publication


2000 A Quantum Geometric Description of a q=brane with Instrinsic Spin (with J Gratus) Nuc. Phys. B 88 349-354


2000 On Parametrically Excited Flexural Motion of an Extensible and Shearable Rod with a Heavy Attachment (with D H Hartley, R Tung, C Wang) Technische Mechanik (No 2) 20 147-157


2000 Vibrations in Drill Rigs Engineering Technology (April 2000) (Paper awarded Mumford Memorial Prize) 12-15


2000 A Simple Cosserat Model for the Dynamics of Drill-Strings (with C Wang) 7th International Congress on Sound and Vibration, Garmische-Partenkirchen, July 2000 719-726


2000 A Cosserat Detector for Dynamic Geometry,International Conference on Geometrical Methods in Continuum Mechanics, University of Torino, Rendiconti del Seminario Matematico di Torino.


2001 On Gear Modelling in Multistage Rotary Vane Engines (with C Wang, B Librovich) International Conference, Aberdeen


2001 On the Control of Matter with Gravity (with C Wang, D Burton, J Gratus AIAA International Conference on Propulsion, Utah, NASA


2001 Wind-Rain Induced Aeroelastic Vibrations of Cable Stayed Bridges (with D Cao, C Wang) Proc. International Conference on Sound and Vibration, Hong Kong 2001


2001 On Gear Modelling in Multistage Rotary Vane Engines (with C Wang, B Librovich) Meccanica, 309, 47-61 (2004)


2001 Mathematical Modelling of Rotary Vane Engines (with B Librovich, C Wang) J. Mech. Eng. Science (2003), 217(6), 687-704


2001 Vortex-Induced Fluid Forces on Accelerating Rigid Boundaries in 2 Dimensions (with D Burton, D Hartley) Proc. 5th International Seminar on "Geometry, Continua and Microstructures", Sinai, Romania, Editura Academiei Romane


2001 Nets of One Dimentional Cosserat Continua (with J Gratus) Proc. 5th International Seminar on "Geometry, Continua and Microstructures", Sinai, Romania Editura Academiei Romane


2001 Cosserat Dynamics and Cable-stayed bridge vibrations. Proc. 8th International Congress on Sound and Vibration, Hong Kong, 1139-1146.


2002 Bifurcation analysis of a neutral delay differential equation modelling the torsional motion of a driven drill string (with A Balanov, N Janson, P V E McClintock, C Wang) Chaos, Solitons and Fractals 14(7)


2002 Geometry and Dynamics of Vortex Sheets in 3 dimensions (with D Burton) Theoretical and Applied Mechanics, 29 55-75


2002 Generation of MEMS Component Models using Cosserat Symboliv Simulations (with R Rossing, A Richardson, C Wang, B de Masi) Proc. of SPIE Design, Test, Integration and Packaging of MEMS Symposium, Cannes, Mandelieu, France May 5-8, 2002


2002 The Mathematical Modelling of Vortex Induced Vibration (with DA Burton), BP Deepwater Technical Note, (22.10.02)


2003 The Dynamics of Cosserat Nets (with J Gratus) J. Appl. Mathematics 2003 187-226, 2003


2003 Torsional Vibrational Control and Cosserat Dynamics of a Drill-Rig Assembly, (with C Wang), Meccanica 38 (145-161)


2003 A stochastic approach to cable dynamics with moving rivulets (with D Cao, C Wang) Jour. Sound Vibration 268, 291-304.


2004 Hydrodynamic forces on two moving discs. (with DA Burton, J Gratus), Theoretical and Applied Mechanics, 31, 2, 153-188.


2005 On the Stability of Stay Cables under Light Wind and Rain Conditions (with D Burton, D Q Cao, C Wang) J. Sound Vibration 279, 89-117


2005 Maths Review: Review of: Matute, E. A. On the vector solutions of Maxwell equations in spherical coordinate systems. Rev. Mex. Fís. E 51 (2005), no. 1, 31--36. 78A25 (33C90)


2005 Maths Review of: Amendola, Giovambattista; Manes, Adele Minimum free energy in linear thermoelectromagnetism. Quart. Appl. Math. 63 (2005), no. 4, 645--672. 74A15 (74A20 74F05 74F15 78A25)


2005 Maths Review of: Amendola, Giovambattista The minimum free energy for an electromagnetic conductor. Appl. Anal. 84 (2005), no. 1, 67--87. 78A25 (74A15)


2005 Geometry, Sagnac Ring Lasers and Twisted EM Modes, (with D Burton, A Noble), (676110)
General Relativity and Gravitation, 37, 2005, 1555-1574.


2006 (with T Dereli, J Gratus ). The covariant description of electromagnetically polarizable media, Physics
Letters A, {\bf 361}, (3) , 2007, 190-193. (math-ph/0610082)


2006 Evolutionary Systems for Slender Thermomechanical Structures: in Proceedings: Workshop on Global Integrability of Field Theories and Applications, published by Universit"atsverlag Karlsruhe, Cockcroft Institute, Daresbury, UK. 347-368, November 2006


2006 Thermo-mechanics of Cosserat Rods,(with Cao, D., Liu, D., S Preston, S.), in Proceedings of the Symposium on the Mechanics of Slender Structure (MoSS 2006), 28 - 29 September 2006, Northampton, UK, CD-ROM


2006 The covariant description of electromagnetically polarizable media, (with T Dereli, J Gratus ). Physics Letters A, 361, (3) , 2007, 190-193. (math-ph/0610082


2007 On the Effects of Geometry on Guided Electromagnetic Waves, Invited Presentation in Proceedings of the 1st International Congress of Serbian Society of Mechanics, Kopaonik, Serbia, April 2007


2007, New perspectives on the relevance of gravitation for the covariant description of electromagnetically polarizable media, ( With J Gratus, T Dereli). J. Phys. A: Math. Theor. 40 (2007) 5695-5715


2007 On the Effects of Geometry on Guided Electromagnetic Waves, Theoret. Appl. Mech., Vol 34 (1), 1-49, Belgrade, 2007


2007 New perspectives on the relevance of gravitation for the covariant description of electromagnetically polarizable media, (with J Gratus, T Dereli). J. Phys. A: Math. Theor. 40 (2007) 5695-5715


2008 Nonlinear dynamics of elastic rods using the Cosserat theory: Modelling and simulation (with Cao D. Q.). INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES Volume: 45 Issue: 2 Pages: 460-477


2012 Modeling and analysis of the in-plane vibration of a complex cable-stayed bridge, (with D.Q. Cao , M.T.Song , W.D.Zhu, C.H.-T.Wang), Journal of Sound and Vibration, 331(2012)5685-5714.


Links

Professor Robin Tucker

Industrial Mathematics and Gravity Group