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Volumn 74, Issue 8, 2008, Pages 1303-1313

Quaternion-based rigid body rotation integration algorithms for use in particle methods

Author keywords

DEM; Dynamics; Integration; Motion; Numerical methods; Rigid body; Rotation

Indexed keywords

ALGORITHMS; COMPUTATIONAL MECHANICS; FINITE DIFFERENCE METHOD; INTEGRATION; MATRIX ALGEBRA; MOLECULAR DYNAMICS; NUMERICAL METHODS; PARAMETERIZATION; TAYLOR SERIES;

EID: 43449095401     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.2210     Document Type: Article
Times cited : (36)

References (12)
  • 1
    • 43449103900 scopus 로고    scopus 로고
    • Shoemake K. Animating rotation using quaternions. SIGGRAPH85, San Francisco, CA, U.S.A. ACM: New York, 1985.
    • Shoemake K. Animating rotation using quaternions. SIGGRAPH85, San Francisco, CA, U.S.A. ACM: New York, 1985.
  • 3
    • 0025889111 scopus 로고
    • Unconditionally stable algorithms for rigid body dynamics that exactly preserve energy and momentum
    • Simo JC, Wong KK. Unconditionally stable algorithms for rigid body dynamics 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
    • 0003269624 scopus 로고
    • Simulation of rotary-drum and repose tests for frictional spheres and rigid sphere clusters
    • Ithaca, NY, U.S.A, 29 September-1 October
    • Walton OR, Braun RL. Simulation of rotary-drum and repose tests for frictional spheres and rigid sphere clusters. Joint DoE/NSF Workshop on Flow of Particulates and Fluids, Ithaca, NY, U.S.A., 29 September-1 October 1993.
    • (1993) Joint DoE/NSF Workshop on Flow of Particulates and Fluids
    • Walton, O.R.1    Braun, R.L.2
  • 9
    • 0005327266 scopus 로고    scopus 로고
    • Velocity verlet algorithm for dissipative-particle-dynamics
    • Martys NS, Mountain RD. Velocity verlet algorithm for dissipative-particle-dynamics. Physical Review E 1999; 59:3733-3736.
    • (1999) Physical Review E , vol.59 , pp. 3733-3736
    • Martys, N.S.1    Mountain, R.D.2
  • 10
    • 0001525343 scopus 로고    scopus 로고
    • Algorithm for numerical integration of the rigid body equations of motion
    • Omelyan IP. Algorithm for numerical integration of the rigid body equations of motion. Physical Review E 1998; 58:1169-1172.
    • (1998) Physical Review E , vol.58 , pp. 1169-1172
    • Omelyan, I.P.1
  • 11
    • 0346665930 scopus 로고    scopus 로고
    • 3D dynamics of discrete element systems comprising irregular discrete elements - integration solution for finite rotations in 3D
    • Munjiza A, Latham JP, John NWN. 3D dynamics of discrete element systems comprising irregular discrete elements - integration solution for finite rotations in 3D. International Journal for Numerical Methods in Engineering 2003; 56:35-15.
    • (2003) International Journal for Numerical Methods in Engineering , vol.56 , pp. 35-15
    • Munjiza, A.1    Latham, J.P.2    John, N.W.N.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.