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Volumn 63, Issue 15, 2005, Pages 2171-2193

Explicit momentum-conserving integrator for dynamics of rigid bodies approximating the midpoint Lie algorithm

Author keywords

Explicit; Momentum conserving; Newmark algorithm; Rotational dynamics; Symplectic; Time integration

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; DYNAMICS; INITIAL VALUE PROBLEMS; INTEGRATION; MATRIX ALGEBRA; RIGIDITY; VECTORS;

EID: 24044436529     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/nme.1361     Document Type: Article
Times cited : (24)

References (10)
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    • Adjoint and selfadjoint Lie-group methods
    • Zanna A, Eng K, Munthe-Kaas H. Adjoint and selfadjoint Lie-group methods. BIT 2001; 41(2):395-421.
    • (2001) BIT , vol.41 , Issue.2 , pp. 395-421
    • Zanna, A.1    Eng, K.2    Munthe-Kaas, H.3
  • 3
    • 17344367428 scopus 로고    scopus 로고
    • The discrete Moser-Veselov algorithm for the free rigid body, revisited
    • University of Bergen
    • McLachlan RI, Zanna A. The discrete Moser-Veselov algorithm for the free rigid body, revisited. Reports in Informatics 255, University of Bergen, 2003.
    • (2003) Reports in Informatics 255
    • McLachlan, R.I.1    Zanna, A.2
  • 4
    • 17344369847 scopus 로고    scopus 로고
    • Explicit Newmark/Verlet algorithm for time integration of the rotational dynamics of rigid bodies
    • Krysl P, Endres L. Explicit Newmark/Verlet algorithm for time integration of the rotational dynamics of rigid bodies. International Journal for Numerical Methods in Engineering 2005; 62 (15):2154-2177.
    • (2005) International Journal for Numerical Methods in Engineering , vol.62 , Issue.15 , pp. 2154-2177
    • Krysl, P.1    Endres, L.2
  • 6
    • 0025889111 scopus 로고
    • Unconditionally stable algorithms for the orthogonal group that exactly preserve energy and momentum
    • Simo JC, Wong KK. Unconditionally stable algorithms for the orthogonal group that exactly preserve energy and momentum. International Journal for Numerical Methods in Engineering 1991; 31:19-52.
    • (1991) International Journal for Numerical Methods in Engineering , vol.31 , pp. 19-52
    • Simo, J.C.1    Wong, K.K.2
  • 7
    • 34249765469 scopus 로고
    • Conserving algorithms for the dynamics of Hamiltonian systems of Lie groups
    • Lewis D, Simo JC. Conserving algorithms for the dynamics of Hamiltonian systems of Lie groups. Journal of Nonlinear Science 1995; 4: 253-299.
    • (1995) Journal of Nonlinear Science , vol.4 , pp. 253-299
    • Lewis, D.1    Simo, J.C.2
  • 9
    • 0026916017 scopus 로고
    • Explicit momentum conserving algorithms for rigid body dynamics
    • Hulbert G. Explicit momentum conserving algorithms for rigid body dynamics. Computers and Structures 1992; 44(6):1291-1303.
    • (1992) Computers and Structures , vol.44 , Issue.6 , pp. 1291-1303
    • Hulbert, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.