Géradin M., and Cardona A.: Flexible Multibody Dynamics: A Finite Element Approach. John Wiley & Sons, Chichester, 2001.
Bauchau O. A.: Flexible Mutibody Dynamics, volume 176 of Solid Mechanics and its Applications. Springer, 2011.
Simo J.C.: A finite strain beam formulation. The three-dimensional dynamic problem. Part I. Computer Methods in Applied Mechanics and Engineering, 49, 55-70, 1985.
Simo J.C., and Fox D.D.: On a stress resultant geometrically exact shell model. Part I: Formulation and optimal parametrization. Computer Methods in Applied Mechanics and Engineering, 72, 267-304, 1989.
Betsch P., and Steinmann P.: Frame-indifferent beam finite elements based upon the geometrically exact beam theory. International Journal for Numerical Methods in Engineering, 54, 1775-1788, 2002.
Brüls O., Cardona A., and Arnold M.: Lie group generalized-time integration of constrained flexible multibody systems. Mechanism and Machine Theory, (48), 121-137, 2012.
Brüls O., Arnold M., and Cardona A.: Two Lie group formulations for dynamic multibody systems with large rotations. In Proceedings of the IDETC/MSNDC Conference, Washington D.C., U.S., August 2011.
Brüls O., and Cardona A.: On the use of Lie group time integrators in multibody dynamics. ASME Journal of Computational and Nonlinear Dynamics, 5(3), 031002, 2010.
Sonneville V., Cardona A., and Brüls O.: Geometrically exact beam finite element formulated on the special Euclidean group SE(3). Computer Methods in Applied Mechanics and Engineering, 268, 451-474, January 2014.
Cardona A., and Géradin M.: A beam finite element non-linear theory with finite rotations. International Journal for Numerical Methods in Engineering, 26, 2403-2438, 1988.
Ibrahimbegovic A., and Al Mikad M.: Finite rotations in dynamics of beams and implicit time-stepping schemes. International Journal for Numerical Methods in Engineering, 41, 781-814, 1998.
Bottasso C., and Borri M.: Energy preserving/decaying schemes for non-linear beam dynamics using the helicoidal approximation. Computer Methods in Applied Mechanics and Engineering, 143, 393-415, 1997.
Crisfield M.A., and Jelenic G.: Objectivity of strain measures in the geometrically exact three-dimensional beam theory and its finite-element implementation. Proceedings of the Royal Society of London A, 455, 1125-1147, 1999.
Murray R. M., Li Z., and Sastry S. S.: A Mathematical Introduction to Robotic Manipulation. CRC Press, March 1994.
Iserles A., Munthe-Kaas H., N?rrsett S.P., and Zanna A.: Lie-group methods. Acta Numerica, 9, 215-365, 2000.
Boothby W.M.: An Introduction to Differentiable Manifolds and Riemannian Geometry. Academic Press, 2nd edition, 2003.
Merlini T., and Morandini M.: The helicoidal modeling in computational finite elasticity. Part II: Multiplicative interpolation. International Journal of Solids and Structures, 41, 5383-5409, 2004.
Lens E.V., and Cardona A.: A nonlinear beam element formulation in the framework of an energy preserving time integration scheme for constrained multibody systems dynamics. Computers and Structures, 86, 47-63, 2008.
