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Volumn 195, Issue 50-51, 2006, Pages 6974-6992

The Embedded Projection Method: A general index reduction procedure for constrained system dynamics

Author keywords

Constrained dynamical systems; Constraint stabilization; Differential algebraic equations; Embedded projection; Index reduction

Indexed keywords

COMPUTATIONAL COMPLEXITY; CONSTRAINT THEORY; CONVERGENCE OF NUMERICAL METHODS; INTEGRATION; LINEAR ALGEBRA; ORDINARY DIFFERENTIAL EQUATIONS;

EID: 33748042004     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2005.03.010     Document Type: Article
Times cited : (28)

References (27)
  • 1
    • 0026367025 scopus 로고
    • Numerical simulation of mechanical systems using methods for differential-algebraic equations
    • Anantharaman M., and Hiller M. Numerical simulation of mechanical systems using methods for differential-algebraic equations. Int. J. Numer. Meth. Engrg. 32 (1991) 1531-1542
    • (1991) Int. J. Numer. Meth. Engrg. , vol.32 , pp. 1531-1542
    • Anantharaman, M.1    Hiller, M.2
  • 3
    • 0037769058 scopus 로고    scopus 로고
    • The vectorial parameterization of rotation
    • Bauchau O.A., and Trainelli L. The vectorial parameterization of rotation. Nonliner Dyn. 32 (2003) 71-92
    • (2003) Nonliner Dyn. , vol.32 , pp. 71-92
    • Bauchau, O.A.1    Trainelli, L.2
  • 4
    • 0023535897 scopus 로고
    • Finite time element approximation of dynamics of nonholonomic systems
    • Borri M., and Mantegazza P. Finite time element approximation of dynamics of nonholonomic systems. Mod. Sim. Contr. 12 (1987) 7-18
    • (1987) Mod. Sim. Contr. , vol.12 , pp. 7-18
    • Borri, M.1    Mantegazza, P.2
  • 5
    • 0002004446 scopus 로고
    • Variational approaches for dynamics and time-finite-elements-Numerical studies
    • Borri M., Mello F., and Atluri S.N. Variational approaches for dynamics and time-finite-elements-Numerical studies. Comput. Mech. 7 (1990) 49-76
    • (1990) Comput. Mech. , vol.7 , pp. 49-76
    • Borri, M.1    Mello, F.2    Atluri, S.N.3
  • 6
    • 0008485947 scopus 로고
    • Primal and mixed forms of Hamilton's principle for constrained rigid body systems: numerical studies
    • Borri M., Mello F., and Atluri S.N. Primal and mixed forms of Hamilton's principle for constrained rigid body systems: numerical studies. Comput. Mech. 7 (1991) 205-220
    • (1991) Comput. Mech. , vol.7 , pp. 205-220
    • Borri, M.1    Mello, F.2    Atluri, S.N.3
  • 7
    • 0027040389 scopus 로고
    • A modified phase space formulation for constrained mechanical systems-differential approach
    • Borri M., Bottasso C.L., and Mantegazza P. A modified phase space formulation for constrained mechanical systems-differential approach. Eur. J. Mech. A/Solids 11 (1992) 701-727
    • (1992) Eur. J. Mech. A/Solids , vol.11 , pp. 701-727
    • Borri, M.1    Bottasso, C.L.2    Mantegazza, P.3
  • 8
    • 0027851173 scopus 로고
    • A general framework for interpreting time finite element formulations
    • Borri M., and Bottasso C.L. A general framework for interpreting time finite element formulations. Comput. Mech. 13 (1993) 133-142
    • (1993) Comput. Mech. , vol.13 , pp. 133-142
    • Borri, M.1    Bottasso, C.L.2
  • 9
    • 33748083116 scopus 로고    scopus 로고
    • M. Borri, L. Trainelli, A new formulation of constrained dynamical systems, in: Proceedings of the 16th IMACS World Congress, École Polytechnique Fédérale, Lausanne, Switzerland, 2000.
  • 10
    • 0000154406 scopus 로고    scopus 로고
    • Integration of elastic multibody systems by invariant conserving/dissipating algorithms, Part II-Numerical schemes and applications
    • Borri M., Bottasso C.L., and Trainelli L. Integration of elastic multibody systems by invariant conserving/dissipating algorithms, Part II-Numerical schemes and applications. Comput. Methods Appl. Mech. Engrg. 190 (2001) 3701-3733
    • (2001) Comput. Methods Appl. Mech. Engrg. , vol.190 , pp. 3701-3733
    • Borri, M.1    Bottasso, C.L.2    Trainelli, L.3
  • 11
    • 0036281983 scopus 로고    scopus 로고
    • A novel momentum-preserving energy-decaying algorithm for finite-element multibody procedures
    • Borri M., Bottasso C.L., and Trainelli L. A novel momentum-preserving energy-decaying algorithm for finite-element multibody procedures. Comput. Aid. Mech. Engrg. Sci. 9 (2002) 315-340
    • (2002) Comput. Aid. Mech. Engrg. Sci. , vol.9 , pp. 315-340
    • Borri, M.1    Bottasso, C.L.2    Trainelli, L.3
  • 15
    • 0031334805 scopus 로고    scopus 로고
    • A new look at finite elements in time-a variational interpretation of Runge-Kutta methods
    • Bottasso C.L. A new look at finite elements in time-a variational interpretation of Runge-Kutta methods. Appl. Num. Math. 25 (1997) 355-368
    • (1997) Appl. Num. Math. , vol.25 , pp. 355-368
    • Bottasso, C.L.1
  • 16
    • 2142803819 scopus 로고    scopus 로고
    • Some recent developments in the theory of finite elements in time
    • Bottasso C.L., and Borri M. Some recent developments in the theory of finite elements in time. Comput. Mod. Sim. Engrg. 4 (1999) 201-205
    • (1999) Comput. Mod. Sim. Engrg. , vol.4 , pp. 201-205
    • Bottasso, C.L.1    Borri, M.2
  • 18
    • 0027610910 scopus 로고
    • A time integration algorithm for structural dynamics with improved numerical dissipation: the generalized-α method
    • Chung J., and Hulbert G.M. A time integration algorithm for structural dynamics with improved numerical dissipation: the generalized-α method. ASME J. Appl. Mech. 60 (1993) 371-375
    • (1993) ASME J. Appl. Mech. , vol.60 , pp. 371-375
    • Chung, J.1    Hulbert, G.M.2
  • 19
    • 0000008303 scopus 로고    scopus 로고
    • An impetus-striction simulation of the dynamics of an elastica
    • Dichmann D.J., and Maddocks J.H.. An impetus-striction simulation of the dynamics of an elastica. J. Nonlinear Sci. 6 (1996) 271-292
    • (1996) J. Nonlinear Sci. , vol.6 , pp. 271-292
    • Dichmann, D.J.1    Maddocks, J.H..2
  • 20
    • 0002318219 scopus 로고
    • Automatic integration of the Euler-Lagrange equation with constraints
    • Gear C.W., Gupta G.K., and Leimkuhler B.J. Automatic integration of the Euler-Lagrange equation with constraints. J. Comput. Appl. Math. 12 (1985) 77-90
    • (1985) J. Comput. Appl. Math. , vol.12 , pp. 77-90
    • Gear, C.W.1    Gupta, G.K.2    Leimkuhler, B.J.3
  • 21
    • 0000353273 scopus 로고
    • Differential-algebraic equation index transformations
    • Gear C.W. Differential-algebraic equation index transformations. SIAM J. Sci. Stat. Comput. 9 1 (1988) 40-47
    • (1988) SIAM J. Sci. Stat. Comput. , vol.9 , Issue.1 , pp. 40-47
    • Gear, C.W.1
  • 23
    • 0028384753 scopus 로고
    • A unified set of single-step asymptotic annihilation algorithms for structural dynamics
    • Hulbert G.M. A unified set of single-step asymptotic annihilation algorithms for structural dynamics. Comput. Methods Appl. Mech. Engrg. 113 (1994) 1-9
    • (1994) Comput. Methods Appl. Mech. Engrg. , vol.113 , pp. 1-9
    • Hulbert, G.M.1
  • 24
    • 33748085135 scopus 로고    scopus 로고
    • W.M. Lioen, J.J.B. De Swart, W.A. Van Der Veen, Testset for IVP solvers, Technical Report NM-R9615, CWI, Amsterdam, 1996.
  • 26
    • 0027660843 scopus 로고
    • An extended descriptor form for the numerical integration of multibody systems
    • Simeon B. An extended descriptor form for the numerical integration of multibody systems. Appl. Numer. Math. 13 (1993) 209-220
    • (1993) Appl. Numer. Math. , vol.13 , pp. 209-220
    • Simeon, B.1
  • 27
    • 0027685324 scopus 로고
    • A survey of attitude representations
    • Shuster M.D. A survey of attitude representations. J. Astr. Sci. 41 4 (1993) 439-517
    • (1993) J. Astr. Sci. , vol.41 , Issue.4 , pp. 439-517
    • Shuster, M.D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.