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Volumn 43, Issue 3-4, 2006, Pages 760-783

Three-dimensional nonlinear dynamics of slender structures: Cosserat rod element approach

Author keywords

Cosserat rod element; Cosserat theory; Multibody systems; Nonlinear dynamic model; Three dimensional rotation

Indexed keywords

ELASTIC MODULI; FUNCTIONS; KINEMATICS; MATHEMATICAL MODELS; PARTIAL DIFFERENTIAL EQUATIONS; THREE DIMENSIONAL; VECTORS;

EID: 28244460340     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2005.03.059     Document Type: Article
Times cited : (39)

References (31)
  • 1
    • 0001493728 scopus 로고
    • The theory of rods
    • C. Truesdell Springer-Verlag Berlin
    • S.S. Antman The theory of rods C. Truesdell Handbuch der Phyik VIa/2 1972 Springer-Verlag Berlin 641 703
    • (1972) Handbuch der Phyik VIa/2 , pp. 641-703
    • Antman, S.S.1
  • 2
    • 34547955474 scopus 로고
    • Nonlinear Problems of Elasticity
    • Springer-Verlag New York
    • S.S. Antman Nonlinear Problems of Elasticity Applied Mathematical Sciences vol. 107 1995 Springer-Verlag New York
    • (1995) Applied Mathematical Sciences , vol.107
    • Antman, S.S.1
  • 3
    • 0032167181 scopus 로고    scopus 로고
    • The complicated dynamics of heavy rigid bodies attached to deformable rods
    • S.S. Antman, R.S. Marlow, and C.T. Vlahacos The complicated dynamics of heavy rigid bodies attached to deformable rods Quarterly of Applied Mathematics 56 1998 431 460
    • (1998) Quarterly of Applied Mathematics , vol.56 , pp. 431-460
    • Antman, S.S.1    Marlow, R.S.2    Vlahacos, C.T.3
  • 8
    • 0021446823 scopus 로고
    • The dynamics of pseudo-rigid bodies: General structure and exact solutions
    • H. Cohen, and R.G. Muncaster The dynamics of pseudo-rigid bodies: general structure and exact solutions Journal of Elasticity 14 1984 127 145
    • (1984) Journal of Elasticity , vol.14 , pp. 127-145
    • Cohen, H.1    Muncaster, R.G.2
  • 9
    • 0026911992 scopus 로고
    • Large displacement formulation of a three-dimensional beam element with cross-sectional warping
    • A. Dutta, and D.W. White Large displacement formulation of a three-dimensional beam element with cross-sectional warping Computers and Structures 45 1992 9 24
    • (1992) Computers and Structures , vol.45 , pp. 9-24
    • Dutta, A.1    White, D.W.2
  • 11
    • 12344298337 scopus 로고    scopus 로고
    • MEMS beams with defects: A model of non-ideal rods using Cosserat approach for component level modelling
    • T. Gould, and C. Wang MEMS beams with defects: a model of non-ideal rods using Cosserat approach for component level modelling Journal of Micromechanics and Microengineering 15 2005 76 80
    • (2005) Journal of Micromechanics and Microengineering , vol.15 , pp. 76-80
    • Gould, T.1    Wang, C.2
  • 13
    • 0029229937 scopus 로고
    • A kinematically exact space finite strain beam model - Finite element formulation by generalized virtual work principle
    • G. Jelenic, and M. Saje A kinematically exact space finite strain beam model - finite element formulation by generalized virtual work principle Computer Methods in Applied Mechanics and Engineering 120 1995 131 161
    • (1995) Computer Methods in Applied Mechanics and Engineering , vol.120 , pp. 131-161
    • Jelenic, G.1    Saje, M.2
  • 18
    • 0022079606 scopus 로고
    • On the theory of a Cosserat point and its application to the numerical solution of continuum problems
    • M.B. Rubin On the theory of a Cosserat point and its application to the numerical solution of continuum problems ASME Journal of Applied Mechanics 52 1985 368 372
    • (1985) ASME Journal of Applied Mechanics , vol.52 , pp. 368-372
    • Rubin, M.B.1
  • 19
    • 0022078203 scopus 로고
    • On the numerical solution of one-dimensional continuum problems using the theory of a Cosserat point
    • M.B. Rubin On the numerical solution of one-dimensional continuum problems using the theory of a Cosserat point ASME Jornal of Applied Mechanics 52 1985 373 378
    • (1985) ASME Jornal of Applied Mechanics , vol.52 , pp. 373-378
    • Rubin, M.B.1
  • 20
    • 0023207011 scopus 로고
    • On the numerical solution of nonlinear string problems using theory of a Cosserat point
    • M.B. Rubin On the numerical solution of nonlinear string problems using theory of a Cosserat point International Journal of Solids and Structures 23 1987 335 349
    • (1987) International Journal of Solids and Structures , vol.23 , pp. 335-349
    • Rubin, M.B.1
  • 21
    • 0035853869 scopus 로고    scopus 로고
    • Numerical solution procedures for nonlinear elastic rods using the theory of a Cosserat point
    • M.B. Rubin Numerical solution procedures for nonlinear elastic rods using the theory of a Cosserat point International Journal of Solids and Structures 38 2001 4395 4437
    • (2001) International Journal of Solids and Structures , vol.38 , pp. 4395-4437
    • Rubin, M.B.1
  • 23
    • 0022060633 scopus 로고
    • A finite strain beam formulation - The three-dimensional dynamic problem part i
    • J.C. Simo A finite strain beam formulation - the three-dimensional dynamic problem part I Computer Methods in Applied Mechanics and Engineering 49 1985 55 70
    • (1985) Computer Methods in Applied Mechanics and Engineering , vol.49 , pp. 55-70
    • Simo, J.C.1
  • 25
    • 0033339258 scopus 로고    scopus 로고
    • Statically and kinematically exact nonlinear theory of rods and its numerical verification
    • W.M. Smolenski Statically and kinematically exact nonlinear theory of rods and its numerical verification Computer Methods in Applied Mechanics and Engineering 178 1999 89 113
    • (1999) Computer Methods in Applied Mechanics and Engineering , vol.178 , pp. 89-113
    • Smolenski, W.M.1
  • 26
    • 0001727848 scopus 로고
    • On the parametrization of the three-dimensional rotation group
    • J. Stuelpnagel On the parametrization of the three-dimensional rotation group SIAM Review 6 1964 422 430
    • (1964) SIAM Review , vol.6 , pp. 422-430
    • Stuelpnagel, J.1
  • 27
    • 0000140987 scopus 로고    scopus 로고
    • An integrated model for drill-string dynamics
    • R.W. Tucker, and C. Wang An integrated model for drill-string dynamics Journal of Sound and Vibration 224 1999 123 165
    • (1999) Journal of Sound and Vibration , vol.224 , pp. 123-165
    • Tucker, R.W.1    Wang, C.2
  • 30
    • 0015573381 scopus 로고
    • Equations of motion and laws of conservation in the discrete elasticity
    • C.Z. Wozniak Equations of motion and laws of conservation in the discrete elasticity Archives of Mechanics 25 1973 155 163
    • (1973) Archives of Mechanics , vol.25 , pp. 155-163
    • Wozniak, C.Z.1
  • 31
    • 0242456252 scopus 로고    scopus 로고
    • Finite-element formulation of geometrically exact three-dimensional beam theories based on interpolation of strain measures
    • D. Zupan, and M. Saje Finite-element formulation of geometrically exact three-dimensional beam theories based on interpolation of strain measures Computer Methods in Applied Mechanics and Engineering 192 2003 5209 5248
    • (2003) Computer Methods in Applied Mechanics and Engineering , vol.192 , pp. 5209-5248
    • Zupan, D.1    Saje, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.