Amirouche, F.M.L., Tung, C.-W., Regularization and stability of the constraints in the dynamics of multibody systems (1990) Nonlinear Dyn., 1 (6), pp. 459-475. , 10.1007/BF01856949
Bauchau, O.A., Laulusa, A., Review of contemporary approaches for constraint enforcement in multibody system (2008) J. Comput. Nonlinear Dyn., 3, p. 011005. , 10.1115/1.2803258
Baumgarte, J., Stabilization of constraints and integrals of motion in dynamical systems (1972) Comput. Methods Appl. Mech. Eng., 1, pp. 1-16. , 391628 10.1016/0045-7825(72)90018-7 0262.70017
Bayo, E., Avello, A., Singularity-free augmented Lagrangian algorithms for constrained multibody dynamics (1994) Nonlinear Dyn., 5, pp. 209-231
Bayo, E., Ledesma, R., Augmented Lagrangian and mass-orthogonal projection methods for constrained multibody dynamics (1996) Nonlinear Dynamics, 9 (1-2), pp. 113-130
Bayo, E., Jalon, J.G., Serna, M.A., A modified Lagrangian formulation for the dynamic analysis of constrained mechanical systems (1988) Comput. Methods Appl. Mech. Eng., 71, pp. 183-195. , 10.1016/0045-7825(88)90085-0 0666.70021
Blajer, W., Schiehlen, W., Schirm, W., A projective criterion to the coordinate partitioning method for multibody dynamics (1994) Arch. Appl. Mech., 64, pp. 215-222
Blajer, W., Elimination of constraint violation and accuracy aspects in numerical simulation of multibody systems (2002) Multibody System Dynamics, 7 (3), pp. 265-284. , DOI 10.1023/A:1015285428885
Braun, D.J., Goldfarb, M., Eliminating constraint drift in the numerical simulation of constrained dynamical systems (2009) Comput. Methods Appl. Mech. Eng., 198 (3740), pp. 3151-3160. , 2567862 10.1016/j.cma.2009.05.013 1229.70003
Eich, E., Convergence results for a coordinate projection method applied to mechanical systems with algebraic constraints (1993) SIAM J. Numer. Anal., 30, pp. 1467-1482. , 1239831 10.1137/0730076 0785.65079
Ider, S.K., Amirouche, F.M.L., Coordinate reduction in constrained spatial dynamic systems-a new approach (1988) J. Appl. Mech., 55, pp. 899-905. , 974531 10.1115/1.3173739 0676.70009
Ider, S.K., Amirouche, F.M.L., Numerical stability of the constraints near singular positions in the dynamics of multibody systems (1989) Computers and Structures, 33 (1), pp. 129-137. , DOI 10.1016/0045-7949(89)90135-1
Jalon, J.G., Bayo, E., (1994) Kinematic and Dynamic Simulation of Multibody Systems-The Real-Time Challenge, , Springer New York 10.1007/978-1-4612-2600-0
Kamman, J.W., Huston, R.L., Dynamics of constrained multibody systems (1984) J. Appl. Mech., 51, p. 899. , 10.1115/1.3167743 0564.70004
Kane, T.R., Levinson, D.A., (1985) Dynamics: Theory and Applications, , McGraw-Hill New York
Lin, S.T., Huang, J.N., Stabilization of Baumgarte's method using the Runge-Kutta approach (2002) J. Mech. Des., 124 (4), p. 633. , 10.1115/1.1519277
Meyer, C.D., (2001) Matrix Analysis and Applied Linear Algebra, , SIAM Philadelphia
Murray, R.M., Li, Z., Sastry, S.S., (1994) A Mathematical Introduction to Robotic Manipulation, , CRC Press Boca Raton 0858.70001
Nikravesh, P.E., Some methods for dynamic analysis of constrained mechanical systems: A survey (1984) Computer-Aided Analysis and Optimization of Mechanical System Dynamics, pp. 351-368. , E.J. Haug (eds). Springer Berlin
Nikravesh, P.E., (1988) Computer-Aided Analysis of Mechanical Systems, , Prentice Hall Englewood Cliffs
Orden, J.C.G., Ortega, R.A., A conservative augmented Lagrangian algorithm for the dynamics of constrained mechanical systems (2006) The Third European Conference on Computational Mechanics
Petzold, L.R., Ren, Y., Maly, T., Regularization of higher-index differential-algebraic equations with rank-deficient constraints (1997) SIAM Journal of Scientific Computing, 18 (3), pp. 753-774. , PII S1064827593276041
Phong, D.V., Principle of compatibility and criteria of ideality in study of constrained mechanical systems (1996) Stroj. Čas., 47 (1), pp. 2-11. , 1399983
Phong, D.V., An algorithm for deriving equations of motion of constrained mechanical system (1999) J. Mech., NCNST Vietnam, 21 (1), pp. 36-44. , 1678104
(1990) Multibody System Handbook, , W. Schiehlen (eds). Springer Heidelberg
Schiehlen, W., Multibody System Dynamics: Roots and Perspectives (1997) Multibody System Dynamics, 1 (2), pp. 149-188
Shabana, A.A., (1998) Dynamics of Multibody Systems, , 2 Cambridge University Press Cambridge 0932.70002
Terze, Z., Lefeber, D., Muftic, O., Null Space Integration Method for Constrained Multibody Systems with No Constraint Violation (2001) Multibody System Dynamics, 6 (3), pp. 229-243. , DOI 10.1023/A:1012090712309
Terze, Z., Naudet, J., Geometric properties of projective constraint violation stabilization method for generally constrained multibody systems on manifolds (2008) Multibody Syst. Dyn., 20, pp. 85-106. , 10.1007/s11044-008-9107-5 05319052
Terze, Z., Naudet, J., Structure of optimized generalized coordinates partitioned vectors for holonomic and non-holonomic systems (2010) Multibody Syst. Dyn., 24, pp. 203-218. , 2670705 10.1007/s11044-010-9195-x 05817480
Tseng, F.C., Ma., Z.D., Hulbert, G.M., Efficient numerical solution of constrained multibody dynamics systems (2003) Computer Methods in Applied Mechanics and Engineering, 192 (3-4), pp. 439-472. , DOI 10.1016/S0045-7825(02)00521-2, PII S0045782502005212
Udwadia, F.E., Kalaba, R.E., (1996) Analytical Dynamics: A New Approach, , Cambridge University Press Cambridge 10.1017/CBO9780511665479
Wehage, R.A., Haug, E.J., Generalized coordinate partitioning for dimension reduction in analysis of constrained dynamic systems (1982) J. Mech. Des., 104, pp. 247-255. , 10.1115/1.3256318
Yoon, S., Howe, R.M., Greenwood, D.T., Geometric elimination of constraint violations in numerical simulation of Lagrangian equations (1994) J. Mech. Des., 116, pp. 1058-1064. , 10.1115/1.2919487