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Volumn 18, Issue 2, 2007, Pages 185-202

Convergence of the generalized-α scheme for constrained mechanical systems

Author keywords

DAEs; Generalized method

Indexed keywords

ALGORITHMS; CONSTRAINT THEORY; CONVERGENCE OF NUMERICAL METHODS; LAGRANGE MULTIPLIERS; LINEAR SYSTEMS; MECHANICS;

EID: 34548208758     PISSN: 13845640     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11044-007-9084-0     Document Type: Article
Times cited : (370)

References (19)
  • 1
    • 0042975244 scopus 로고
    • A perturbation analysis for the dynamical simulation of mechanical multibody systems
    • Arnold, M.: A perturbation analysis for the dynamical simulation of mechanical multibody systems. Appl. Numer. Math. 18, 37-56 (1995)
    • (1995) Appl. Numer. Math. , vol.18 , pp. 37-56
    • Arnold, M.1
  • 2
    • 34548227401 scopus 로고    scopus 로고
    • Simulation algorithms and software tools
    • Mastinu, G., Plöchl, M. (eds.) Taylor & Francis, London in preparation
    • Arnold, M.: Simulation algorithms and software tools. In: Mastinu, G., Plöchl, M. (eds.) Road and Off-road Vehicle System Dynamics Handbook. Taylor & Francis, London (2007, in preparation)
    • (2007) Road and Off-road Vehicle System Dynamics Handbook
    • Arnold, M.1
  • 5
    • 44949256367 scopus 로고    scopus 로고
    • The generalized-α scheme as a multistep integrator: Towards a general mechatronic simulator
    • Las Vegas, USA
    • Bruls, O., Arnold, M.: The generalized-α scheme as a multistep integrator: Towards a general mechatronic simulator. In: Proc. of the IDETC/MSNDC Conference, Las Vegas, USA (2007)
    • (2007) Proc. of the IDETC/MSNDC Conference
    • Bruls, O.1    Arnold, M.2
  • 6
    • 33750556861 scopus 로고    scopus 로고
    • The generalized-α method in mechatronic applications
    • Bruls, O., Golinval, J.C.: The generalized-α method in mechatronic applications. Z. Angew. Math. Mech. (ZAMM) 86, 748-758 (2006)
    • (2006) Z. Angew. Math. Mech. (ZAMM) , vol.86 , pp. 748-758
    • Bruls, O.1    Golinval, J.C.2
  • 7
    • 33750552226 scopus 로고    scopus 로고
    • On the numerical damping of time integrators for coupled mechatronic systems
    • accepted for publication
    • Bruls, O., Golinval, J.C.: On the numerical damping of time integrators for coupled mechatronic systems. Comput. Meth. Appl. Mech. Eng. (2006), accepted for publication
    • (2006) Comput. Meth. Appl. Mech. Eng.
    • Bruls, O.1    Golinval, J.C.2
  • 8
    • 0024877338 scopus 로고
    • Time integration of the equations of motion in mechanism analysis
    • Cardona, A., Géradin, M.: Time integration of the equations of motion in mechanism analysis. Comput. Struct. 33, 801-820 (1989)
    • (1989) Comput. Struct. , vol.33 , pp. 801-820
    • Cardona, A.1    Géradin, M.2
  • 9
    • 0027610910 scopus 로고
    • A time integration algorithm for structural dynamics with improved numerical dissipation: The generalized-α method
    • Chung, J., Hulbert, G.: A time integration algorithm for structural dynamics with improved numerical dissipation: The generalized-α method. ASME J. Appl. Mech. 60, 371-375 (1993)
    • (1993) ASME J. Appl. Mech. , vol.60 , pp. 371-375
    • Chung, J.1    Hulbert, G.2
  • 10
    • 0345668472 scopus 로고    scopus 로고
    • The analysis of the generalized-α method for non-linear dynamic problems
    • Erlicher, S., Bonaventura, L., Bursi, O.: The analysis of the generalized-α method for non-linear dynamic problems. Comput. Mech. 28, 83-104 (2002)
    • (2002) Comput. Mech. , vol.28 , pp. 83-104
    • Erlicher, S.1    Bonaventura, L.2    Bursi, O.3
  • 14
    • 84985759019 scopus 로고
    • Improved numerical dissipation for time integration algorithms in structural dynamics
    • Hilber, H., Hughes, T., Taylor, R.: Improved numerical dissipation for time integration algorithms in structural dynamics. Earthq. Eng. Struct. Dyn. 5, 283-292 (1977)
    • (1977) Earthq. Eng. Struct. Dyn. , vol.5 , pp. 283-292
    • Hilber, H.1    Hughes, T.2    Taylor, R.3
  • 15
    • 34548227876 scopus 로고    scopus 로고
    • Extensions of the HHT-method to differential-algebraic equations in mechanics
    • Jay, L., Negrut, D.: Extensions of the HHT-method to differential- algebraic equations in mechanics. Electron. Trans. Numer. Anal. 26, 190-208 (2007)
    • (2007) Electron. Trans. Numer. Anal. , vol.26 , pp. 190-208
    • Jay, L.1    Negrut, D.2
  • 16
    • 33750557231 scopus 로고    scopus 로고
    • Solving constrained mechanical systems by the family of Newmark and α-methods
    • 10
    • Lunk, C., Simeon, B.: Solving constrained mechanical systems by the family of Newmark and α-methods. Z. Angew. Math. Mech. (ZAMM) 86(10), 772-784 (2006)
    • (2006) Z. Angew. Math. Mech. (ZAMM) , vol.86 , pp. 772-784
    • Lunk, C.1    Simeon, B.2
  • 17
    • 33244464992 scopus 로고    scopus 로고
    • On the use of the HHT method in the context of index 3 differential algebraic equations of multi-body dynamics
    • Goicolea, J., Cuadrado, J., García Orden, J. (eds.) Madrid, Spain
    • Negrut, D., Rampalli, R., Ottarsson, G., Sajdak, A.: On the use of the HHT method in the context of index 3 differential algebraic equations of multi-body dynamics. In: Goicolea, J., Cuadrado, J., García Orden, J. (eds.) Proc. of the ECCOMAS Conf. on Advances in Computational Multibody Dynamics, Madrid, Spain (2005)
    • (2005) Proc. of the ECCOMAS Conf. on Advances in Computational Multibody Dynamics
    • Negrut, D.1    Rampalli, R.2    Ottarsson, G.3    Sajdak, A.4
  • 18
    • 0002689020 scopus 로고
    • A method of computation for structural dynamics
    • Newmark, N.: A method of computation for structural dynamics. ASCE J. Eng. Mech. Div. 85, 67-94 (1959)
    • (1959) ASCE J. Eng. Mech. Div. , vol.85 , pp. 67-94
    • Newmark, N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.