메뉴 건너뛰기




Volumn 6 A, Issue , 2005, Pages 207-218

On the use of the HHT method in the context of index 3 differential algebraic equations of multibody dynamics

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; DYNAMICS; FINITE ELEMENT METHOD; TIME DOMAIN ANALYSIS;

EID: 33244464992     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/detc2005-85096     Document Type: Conference Paper
Times cited : (32)

References (30)
  • 1
    • 84985759019 scopus 로고
    • Improved numerical dissipation for time integration algorithms in structural dynamics
    • Hilber, H. M., Hughes, T. J. R., and Taylor, R. L., 1977. "Improved numerical dissipation for time integration algorithms in structural dynamics". Earthquake Eng. and Struct. Dynamics, 5, pp. 283-292.
    • (1977) Earthquake Eng. and Struct. Dynamics , vol.5 , pp. 283-292
    • Hilber, H.M.1    Hughes, T.J.R.2    Taylor, R.L.3
  • 8
    • 0000561744 scopus 로고
    • Differential-algebraic equations are not ODE's
    • Petzold, L. R., 1982. "Differential-algebraic equations are not ODE's". SIAM J. Sci., Stat. Comput., 3(3).
    • (1982) SIAM J. Sci., Stat. Comput. , vol.3 , Issue.3
    • Petzold, L.R.1
  • 10
    • 0027610748 scopus 로고
    • Implementation of linear multistep methods for solving constrained equations of motion
    • Potra, F. A., 1993. "Implementation of linear multistep methods for solving constrained equations of motion". SIAM. Numer. Anal., 30(3).
    • (1993) SIAM. Numer. Anal. , vol.30 , Issue.3
    • Potra, F.A.1
  • 11
    • 0029403317 scopus 로고
    • Mexx - Numerical software for the integration of constrained mechanical multibody systems
    • Lubich, C., Nowak, U., Pohle, U., and Engstler, C., 1995. "Mexx - numerical software for the integration of constrained mechanical multibody systems". Mechanics of Structures and Machines, 23, pp. 473-495.
    • (1995) Mechanics of Structures and Machines , vol.23 , pp. 473-495
    • Lubich, C.1    Nowak, U.2    Pohle, U.3    Engstler, C.4
  • 13
    • 0042444657 scopus 로고
    • Numerical integration of second order differential-algebraic systems in flexible mechanics dynamics
    • M. F. O. S. Pereira and J. A. C. Ambrosio, eds., Kluwer Academic Publishers
    • Cardona, A., and Geradin, M., 1994. "Numerical integration of second order differential-algebraic systems in flexible mechanics dynamics". In Computer-Aided Analysis of Rigid and Flexible Mechanical Systems, M. F. O. S. Pereira and J. A. C. Ambrosio, eds., Kluwer Academic Publishers.
    • (1994) Computer-aided Analysis of Rigid and Flexible Mechanical Systems
    • Cardona, A.1    Geradin, M.2
  • 14
    • 0041413693 scopus 로고    scopus 로고
    • A time integration algorithm for flexible mechanism dynamics: The DAE α-method
    • Dept. of Comp. Sci., University of Minnesota
    • Yen, J., Petzold, L., and Raha, S., 1996. A time integration algorithm for flexible mechanism dynamics: the DAE α-method. Tech. Rep.TR96-024, Dept. of Comp. Sci., University of Minnesota.
    • (1996) Tech. Rep. , vol.TR96-024
    • Yen, J.1    Petzold, L.2    Raha, S.3
  • 16
    • 5744230861 scopus 로고    scopus 로고
    • Penatly, semi-recursive and hybrid methods for MBS real-time dynamics in the context of structural in tegrators
    • Cuadrado, J., Dopico, D., Naya, M. N., and Gonzalez, M., 2004. "Penatly, semi-recursive and hybrid methods for MBS Real-Time dynamics in the context of structural in tegrators". Multibody Systems Dynamics(12), pp. 117-132.
    • (2004) Multibody Systems Dynamics , Issue.12 , pp. 117-132
    • Cuadrado, J.1    Dopico, D.2    Naya, M.N.3    Gonzalez, M.4
  • 17
    • 34249680550 scopus 로고
    • Stabilization of constraints and integrals of motion in dynamical systems
    • Baumgarte, J., 1972. "Stabilization of constraints and integrals of motion in dynamical systems". Computer Methods in Applied Mechanics and Engineering, 1, pp. 1-16.
    • (1972) Computer Methods in Applied Mechanics and Engineering , vol.1 , pp. 1-16
    • Baumgarte, J.1
  • 19
    • 0032228613 scopus 로고    scopus 로고
    • Structure preservation for constrained dynamics with super partitioned additive runge-kutta methods
    • Jay, L. O., 1998. "Structure preservation for constrained dynamics with super partitioned additive runge-kutta methods". SIAM J. Sci. Comput., 20, pp. 416-446.
    • (1998) SIAM J. Sci. Comput. , vol.20 , pp. 416-446
    • Jay, L.O.1
  • 20
    • 0036816072 scopus 로고    scopus 로고
    • Automatic h-scaling for the efficient time integration of stiff mechanical systems
    • Schaub, M., and Simeon, B., 2002. "Automatic h-scaling for the efficient time integration of stiff mechanical systems". Multibody System Dynamics, 8, pp. 329-345.
    • (2002) Multibody System Dynamics , vol.8 , pp. 329-345
    • Schaub, M.1    Simeon, B.2
  • 21
    • 84966252011 scopus 로고    scopus 로고
    • Numerical solution of nonlinear differential equations with algebraic constraints I: Convergence results for backward differentiation formulas
    • 46
    • Lötstedt, C., and Petzold, L, 46. "Numerical solution of nonlinear differential equations with algebraic constraints I: Convergence results for backward differentiation formulas". Mathematics of Computation, 174, pp. 491-516.
    • Mathematics of Computation , vol.174 , pp. 491-516
    • Lötstedt, C.1    Petzold, L.2
  • 22
    • 84914900400 scopus 로고
    • Backward differentiation approximations of nonlinear differential/ algebraic systems
    • Brenan, K., and Engquist, B. E., 1988. "Backward differentiation approximations of nonlinear differential/algebraic systems". Mathematics of Computation, 51(184), pp. 659-676.
    • (1988) Mathematics of Computation , vol.51 , Issue.184 , pp. 659-676
    • Brenan, K.1    Engquist, B.E.2
  • 25
    • 0026358647 scopus 로고
    • A simple error estimator and adaptive time-stepping procedure for dynamic analysis
    • Zienkiewicz, O., and Xie, Y., 1991. "A simple error estimator and adaptive time-stepping procedure for dynamic analysis". Earthquake Engineering and Structural Dynamics, 20, pp. 871-887.
    • (1991) Earthquake Engineering and Structural Dynamics , vol.20 , pp. 871-887
    • Zienkiewicz, O.1    Xie, Y.2
  • 27
    • 85007654799 scopus 로고
    • Coupling of substructures for dynamics analyses
    • Craig, R. R., and Bampton, M. C. C., 1968. "Coupling of substructures for dynamics analyses". AIAA Journal, 6(7), pp. 1313-1319.
    • (1968) AIAA Journal , vol.6 , Issue.7 , pp. 1313-1319
    • Craig, R.R.1    Bampton, M.C.C.2
  • 29
    • 0027610910 scopus 로고
    • A time integration algorithm for structural dynamics with improved numerical dissipation: The generalized-a method
    • Chung, J., and Hulbert, G. M., 1993. "A time integration algorithm for structural dynamics with improved numerical dissipation: the generalized-a method". Transactions of ASME, Journal of Applied Mechanics, 60(2), pp. 371-375.
    • (1993) Transactions of ASME, Journal of Applied Mechanics , vol.60 , Issue.2 , pp. 371-375
    • Chung, J.1    Hulbert, G.M.2
  • 30
    • 0002318219 scopus 로고
    • Automatic integration of the eulerlagrange equations with constraints
    • Gear, C. W., Gupta, G., and Leimkuhler, B., 1985. "Automatic integration of the eulerlagrange equations with constraints". J. Comp. Appl. Math., 12, pp. 77-90.
    • (1985) J. Comp. Appl. Math. , vol.12 , pp. 77-90
    • Gear, C.W.1    Gupta, G.2    Leimkuhler, B.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.