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Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 80))

Abstract

The kinematics of large rotations are described using Clifford algebra following its development into geometric algebra by Hestenes (1986). This description is as powerful as the differential topology description and yet as simple to use as any of the engineering alternatives.

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References

  • Argyris, J. (1982) An excursion into large rotations. Comp. Meth. Appl. Mech. Eng., 32, 85–155.

    Article  MathSciNet  MATH  Google Scholar 

  • Baylis, W.E., (Ed.) (1996) Geometric (Clifford) Algebras in Physics. Birkhauser, Boston. Crisfield, M.A. (1997) Nonlinear Finite Element Analysis of Solids and Structures, (Vol 2, Advanced Topics). Wiley, Chichester.

    Google Scholar 

  • Gull, S.F., Lasenby, A.N. and Doran, C.J.L. (1993) Imaginary numbers are not real — the geometric algebra of spacetime. Found. Phys., 23 (9): 1175.

    Article  MathSciNet  ADS  Google Scholar 

  • Hestenes, D. (1986) New Foundations for Classical Mechanics. Reidel, Dordrecht. Hestenes, D. and Sobczyk, G. (1984) Clifford Algebra to Geometric Calculus. Reidel, Dordrecht.

    Google Scholar 

  • Matlab (1998) The MathWorks Inc., Nantick, Mass.

    Google Scholar 

  • McRobie, F.A. and Lasenby, J. (1999). Simo-Vu Quoc rods using Clifford Algebra, Int. J. Num. Meth. Eng., 45, 377–398.

    Article  MathSciNet  MATH  Google Scholar 

  • Poth, W., Schagerl, M., Steindl, A., Steiner, W. and Troger, H. (1997) Nonlinear large-amplitude oscillations of tethered satellite systems. Conference, Rensselaer Poly. Inst.

    Google Scholar 

  • Simo, J.C. and Vu-Quoc, L. (1988) On the dynamics in space of rods undergoing large motions - a geometrically exact approach. Comput. Methods. Appl. Mech. Engrg., 66: 125.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  • Simo, J.C. and Vu-Quoc, L. (1986) A three-dimensional finite-strain rod model. Part II. Computational aspects Comput. Methods. Appl. Mech. Engrg., 58: 79.

    Article  ADS  MATH  Google Scholar 

  • Wertz, J.R. (Ed.) (1978) Spacecraft Attitude Determination and Control. Kluwer, Dordrecht.

    Google Scholar 

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© 2000 Springer Science+Business Media Dordrecht

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McRobie, F.A., Lasenby, J. (2000). The Kinematics of Large Rotations Using Clifford Algebra. In: Pellegrino, S., Guest, S.D. (eds) IUTAM-IASS Symposium on Deployable Structures: Theory and Applications. Solid Mechanics and Its Applications, vol 80. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9514-8_29

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  • DOI: https://doi.org/10.1007/978-94-015-9514-8_29

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-5539-2

  • Online ISBN: 978-94-015-9514-8

  • eBook Packages: Springer Book Archive

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