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Volumn 26, Issue , 2007, Pages 190-208

Extensions of the HHT-α method to differential-algebraic equations in mechanics

Author keywords

Differential algebraic equations; HHT method; Variable stepsize

Indexed keywords

ALGEBRA; CONVERGENCE OF NUMERICAL METHODS; ERROR ANALYSIS; TAYLOR SERIES;

EID: 34548227876     PISSN: None     EISSN: 10689613     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (42)

References (12)
  • 1
    • 0004003433 scopus 로고    scopus 로고
    • Numerical Solution of Initial-Value Problems in Differential-Algebraic Equations
    • Second ed, Math, SIAM, Philadelphia
    • K. E. BRENAN, S. L. CAMPBELL, AND L. R. PETZOLD, Numerical Solution of Initial-Value Problems in Differential-Algebraic Equations, Second ed., SIAM Classics in Appl. Math., SIAM, Philadelphia, 1996.
    • (1996) SIAM Classics in Appl
    • BRENAN, K.E.1    CAMPBELL, S.L.2    PETZOLD, L.R.3
  • 2
    • 0024877338 scopus 로고
    • Time integration of the equations of motion in mechanism analysis
    • A. CARDONA AND M. GÉRADIN, Time integration of the equations of motion in mechanism analysis, Comput. & Structures, 33 (1989), pp. 801-820.
    • (1989) Comput. & Structures , vol.33 , pp. 801-820
    • CARDONA, A.1    GÉRADIN, M.2
  • 3
    • 0027610910 scopus 로고
    • A time integration algorithm for structural dynamics with improved numerical dissipation: The generalized-a method
    • J. CHUNG AND G. M. HULBERT, A time integration algorithm for structural dynamics with improved numerical dissipation: the generalized-a method, J. Appl. Mech., 60 (1993), pp. 371-375.
    • (1993) J. Appl. Mech , vol.60 , pp. 371-375
    • CHUNG, J.1    HULBERT, G.M.2
  • 4
    • 0345668472 scopus 로고    scopus 로고
    • The analysis of the generalized-α method for nonlinear dynamics problems
    • S. ERLICHER, L. BONAVENTURA, AND O. S. BURSI, The analysis of the generalized-α method for nonlinear dynamics problems, Comput. Mech., 28 (2002), pp. 83-104.
    • (2002) Comput. Mech , vol.28 , pp. 83-104
    • ERLICHER, S.1    BONAVENTURA, L.2    BURSI, O.S.3
  • 5
    • 0002318219 scopus 로고
    • Automatic integration of the Euler-Lagrange equations with constraints
    • C. W. GEAR, G. K. GUPTA, AND B. J. LEIMKUHLER, Automatic integration of the Euler-Lagrange equations with constraints, J. Comput. Appl. Math., 12-13 (1985), pp. 77-90.
    • (1985) J. Comput. Appl. Math , vol.12-13 , pp. 77-90
    • GEAR, C.W.1    GUPTA, G.K.2    LEIMKUHLER, B.J.3
  • 6
    • 84985759019 scopus 로고
    • Improved numerical dissipation for time integration algorithms in structural dynamics
    • H. M. HILBER, T. J. R. HUGHES, AND R. L. TAYLOR, Improved numerical dissipation for time integration algorithms in structural dynamics, Earthquake Engng Struct. Dyn., 5 (1977), pp. 283-292.
    • (1977) Earthquake Engng Struct. Dyn , vol.5 , pp. 283-292
    • HILBER, H.M.1    HUGHES, T.J.R.2    TAYLOR, R.L.3
  • 8
    • 0000545837 scopus 로고    scopus 로고
    • Symplectic partitioned Runge-Kutta methods for constrained Hamiltonian systems
    • L. O. JAY, Symplectic partitioned Runge-Kutta methods for constrained Hamiltonian systems, SIAM J. Numer. Anal., 33 (1996), pp. 368-387.
    • (1996) SIAM J. Numer. Anal , vol.33 , pp. 368-387
    • JAY, L.O.1
  • 9
    • 0032228613 scopus 로고    scopus 로고
    • Structure preservation for constrained dynamics with super partitioned additive Runge-Kutta methods
    • _, Structure preservation for constrained dynamics with super partitioned additive Runge-Kutta methods, SIAM J. Sci. Comput., 20 (1998), pp. 416-446.
    • (1998) SIAM J. Sci. Comput , vol.20 , pp. 416-446
    • JAY, L.O.1
  • 10
    • 33750557231 scopus 로고    scopus 로고
    • Solving constrained mechanical systems by the family of Newmark and αmethods
    • C. LUNK AND B. SIMEON, Solving constrained mechanical systems by the family of Newmark and αmethods, ZAMM, 86 (2006), pp. 772-784.
    • (2006) ZAMM , vol.86 , pp. 772-784
    • LUNK, C.1    SIMEON, B.2
  • 11
    • 34248386510 scopus 로고    scopus 로고
    • On an implementation of the HHT method in the context of index 3 differential algebraic equations of multibody dynamics
    • D. NEGRUT, R. RAMPALLI, G. OTTARSSON, AND A. SAJDAK, On an implementation of the HHT method in the context of index 3 differential algebraic equations of multibody dynamics, ASME J. Comp. Nonlin. Dyn., 2 (2007), pp. 73-85.
    • (2007) ASME J. Comp. Nonlin. Dyn , vol.2 , pp. 73-85
    • NEGRUT, D.1    RAMPALLI, R.2    OTTARSSON, G.3    SAJDAK, A.4
  • 12
    • 0032496584 scopus 로고    scopus 로고
    • A time integration algorithm for flexible mechanism dynamics: The DAE-alpha method
    • J. YEN, L. PETZOLD, AND S. RAHA, A time integration algorithm for flexible mechanism dynamics: The DAE-alpha method, Comput. Methods Appl. Mech. Engrg., 158 (1998), pp. 341-355.
    • (1998) Comput. Methods Appl. Mech. Engrg , vol.158 , pp. 341-355
    • YEN, J.1    PETZOLD, L.2    RAHA, S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.