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References
Armero F, Petöcz E (1998) Formulation and analysis of conserving algorithms for frictionless dynamic contact/impact problems. Computer methods in applied mechanics and engineering 158:269–300
Armero F, Petöcz E (1999) A new dissipative time-stepping algorithm for frictional contact problems: formulation and analysis. Computer methods in applied mechanics and engineering 179:151–178
Armero F, Romero I (2001) On the formulation of high-frequency dissipative time-stepping algorithms for nonlinear dynamics. Part I: Low-order methods for two model problems and nonlinear elastodynamic. Computer Methods in Applied Mechanics and Engineering 190:2603–2649
Armero F, Romero I (2001) On the formulation of high-frequency dissipative time-stepping algorithms for nonlinear dynamics. Part II: High order methods. Computer Methods in Applied Mechanics and Engineering 190:6783–6824
Chen A J (1998) Energy-momentum conserving methods for three dimensional dynamic nonlinear multibody systems. PhD thesis, Stanford University, Department of mechanical engineering
Trainelli L, Bottasso C L, Borri M (2001) Integration of elastic multibody systems by invariant conserving/dissipating schemes. Part II. Computer methods in applied mechanics and engineering 190:3701–3733
Borri M, Bottasso C L, Trainelli L (2001) Integration of elastic multibody systems by invariant conserving/dissipating schemes. Part I. Computer methods in applied mechanics and engineering 190:3669–3699
Crisfield M A (1997) Non-linear finite element analysis of solids and structures, volume I and II. Wiley
Ferreira C (1997) Simulacion dinamica de mecanismos tridimensionales con elementos flexibles. PhD thesis, Centro Politecnico Superior de la Universidad de Zaragoza
García de Jalón J, Bayo E (1994) Kinematic and Dynamic Simulation of Multibody Systems. The Real Time Challenge. Springer-Verlag
Geradin M, Cardona A (2000) Flexible multibody dynamics. A finite element approach. Wiley
Goicolea J M, García Orden J C (2000) Dynamic analysis of rigid and deformable multibody systems with penalty methods and energy-momentum schemes. Computer Methods in Applied Mechanics and Engineering 188(4):789–804
Goicolea JM, García Orden J C (2002) Quadratic and higher-order constraints in energy-conserving formulations in flexible multibody systems. Multibody System Dynamics, 7:3–29
Goldsmith W (1960) Impact. The theory and Physical Behaviour of Coliding Solids. Dover
González O (1996) Design and analysis of conserving integrators for nonlinear hamiltonian systems with symmetry. PhD thesis, Stanford University Department of Mechanical Engineering
González O, Simó J C (1996) On the stability of symplectic and energy-momentum algorithms for non linear hamiltonian systems with symmetry. Computer methods in applied mechanics and engineering
Dobychin M N, Kragelsky I V, Kombalov V S (1982) Friction and wear. Calculation Methods. Pergamon Press
Laursen T A (2002) Computational contact and impact mechanics. Springer
García Orden J C (1999) Dinamica no lineal de sistemas multicuerpo flexibles mediante algoritmos conservativos. PhD thesis, ETSI Caminos, Canales y Puertos. Universidad Politcnica de Madrid
García Orden J C (2003) Analysis of joint clearances in multibody systems. Multibody System Dynamics. Submitted
García Orden J C, Goicolea J M (2000) Conserving properties in constrained dynamics of flexible multibody systems. Multibody System Dynamics 4:225–244
Pfeiffer F, Glocker C (Editors) (2000) Multibody dynamics with unilateral contacts. Internaltional Centre for Mechanical Sciences, Springer Wien NewYork
Puso M A (2002) An energy and momentum conserving method for rigid-flexible body dynamics. International Journal for Numerical and Analytical Methods in Engineering 53:1393–1414
Shabana A A (2001) Performance of non-linear finite element formulations in flexible multibody simulations. In J A C Ambrosio and M Kleiber (editors) Computational Aspects of Nonlinear Structural Systems with Large Rigid Body Motion, pp. 29–40. IOS Press
Shabana A A (1998) Dynamics of Multibody Systems. Wiley
Simó J C, Tarnow N (1992) The discrete energy-momentum method. Conserving algorithms for nonlinear elastodynamics. ZAMP
Simó J C, Vu-Quoc L (1986) A three-dimensional finite-strain rod model. Part II: computational aspects. Computer methods in applied mechanics and engineering 58:79–116
Simó J C, Vu-Quoc L (1988) On the dynamics in space of rods undergoing large motions-a geometrically exact approach. Computer methods in applied mechanics and engineering 66:125–161
Simó J C, Wong K K (1991) Unconditionally stable algorithms for rigid body dynamics that exactly preserve energy and momentum. International Journal of Numerical Methods in Engineering 31:19–52
Taylor R L (2001) Finite element analysis of rigid-flexible systems. In J A C Ambrosio and M Kleiber (editors), Computational Aspects of Nonlinear Structural Systems with Large Rigid Body Motion, pp. 63–84. IOS Press
Wriggers P Computational Contact Mechanics. Wiley
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García Orden, J., Goicolea, J. (2005). Robust analysis of flexible multibody systems and joint clearances in an energy conserving framework. In: Ambrósio, J.A. (eds) Advances in Computational Multibody Systems. Computational Methods in Applied Sciences, vol 2. Springer, Dordrecht. https://doi.org/10.1007/1-4020-3393-1_9
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DOI: https://doi.org/10.1007/1-4020-3393-1_9
Publisher Name: Springer, Dordrecht
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