메뉴 건너뛰기




Volumn 20, Issue 4, 2008, Pages 359-384

A geometrically exact beam element based on the absolute nodal coordinate formulation

Author keywords

Absolute nodal coordinate formulation; Finite elements; Flexible multibody system; Geometrically exact beam; Large rotation vector formulation

Indexed keywords

DEFORMATION; EIGENVALUES AND EIGENFUNCTIONS; ELASTICITY; ELECTRIC IMPEDANCE; FINITE ELEMENT METHOD; ROTATION; STATIC ANALYSIS; STRUCTURAL MEMBERS; VECTORS;

EID: 52549126470     PISSN: 13845640     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11044-008-9125-3     Document Type: Article
Times cited : (125)

References (25)
  • 3
    • 0041695378 scopus 로고    scopus 로고
    • Pogorelov, D. Yu.: Generalization of plate finite elements for absolute nodal coordinate formulation
    • O.N. Dmitrochenko 2003 Pogorelov, D. Yu.: Generalization of plate finite elements for absolute nodal coordinate formulation Multibody Syst. Dyn. 10 17 43
    • (2003) Multibody Syst. Dyn. , vol.10 , pp. 17-43
    • Dmitrochenko, O.N.1
  • 4
    • 10444280130 scopus 로고    scopus 로고
    • A two-dimensional shear deformable beam element based on the absolute nodal coordinate formulation
    • K. Dufva J. Sopanen A. Mikkola 2005 A two-dimensional shear deformable beam element based on the absolute nodal coordinate formulation J. Sound Vib. 280 719 738
    • (2005) J. Sound Vib. , vol.280 , pp. 719-738
    • Dufva, K.1    Sopanen, J.2    Mikkola, A.3
  • 5
    • 0032119839 scopus 로고    scopus 로고
    • Application of the absolute nodal coordinate formulation for flexible multibody system dynamics
    • 5
    • J.L. Escalona H.A. Hussien A.A. Shabana 1998 Application of the absolute nodal coordinate formulation for flexible multibody system dynamics J. Sound Vib. 214 5 833 851
    • (1998) J. Sound Vib. , vol.214 , pp. 833-851
    • Escalona, J.L.1    Hussien, H.A.2    Shabana, A.A.3
  • 7
    • 50249151329 scopus 로고    scopus 로고
    • On the correct representation of bending and axial deformation in the absolute nodal coordinate formulation with an elastic line approach
    • (in press). doi: 10.1016/j.jsv.2008.04.019
    • Gerstmayr, J., Irschik, H.: On the correct representation of bending and axial deformation in the absolute nodal coordinate formulation with an elastic line approach. J. Sound Vib. (2008, in press). doi: 10.1016/j.jsv.2008.04.019
    • (2008) J. Sound Vib.
    • Gerstmayr, J.1    Irschik, H.2
  • 8
    • 33746227768 scopus 로고    scopus 로고
    • A 3D finite element method for flexible multibody systems
    • J. Gerstmayr J. Schöberl 2006 A 3D finite element method for flexible multibody systems J. Multibody Syst. Dyn. 15 309 324
    • (2006) J. Multibody Syst. Dyn. , vol.15 , pp. 309-324
    • Gerstmayr, J.1    Schöberl, J.2
  • 9
    • 33745913632 scopus 로고    scopus 로고
    • Analysis of thin beams and cables using the absolute nodal coordinate formulation
    • 1-2
    • J. Gerstmayr A.A. Shabana 2006 Analysis of thin beams and cables using the absolute nodal coordinate formulation Nonlinear. Dyn. 45 1-2 109 130
    • (2006) Nonlinear. Dyn. , vol.45 , pp. 109-130
    • Gerstmayr, J.1    Shabana, A.A.2
  • 10
    • 0029291922 scopus 로고
    • On finite element implementation of geometrically nonlinear Reissner's beam theory: Three-dimensional curved beam elements
    • A. Ibrahimbegovíc 1995 On finite element implementation of geometrically nonlinear Reissner's beam theory: three-dimensional curved beam elements Comput. Methods Appl. Mech. Eng. 122 11 26
    • (1995) Comput. Methods Appl. Mech. Eng. , vol.122 , pp. 11-26
    • Ibrahimbegovíc, A.1
  • 11
    • 0004175949 scopus 로고    scopus 로고
    • 2 Prentice Hall Upper Saddle River
    • Inman, D.J.: Engineering Vibration, 2nd edn. Prentice Hall, Upper Saddle River (2001)
    • (2001) Engineering Vibration
    • Inman, D.J.1
  • 12
    • 0032647649 scopus 로고    scopus 로고
    • Geometrically exact 3D beam theory: Implementation of a strain-invariant finite element for statics and dynamics
    • G. Jeleníc M.A. Crisfield 1999 Geometrically exact 3D beam theory: implementation of a strain-invariant finite element for statics and dynamics Comput. Methods Appl. Mech. Eng. 171 141 171
    • (1999) Comput. Methods Appl. Mech. Eng. , vol.171 , pp. 141-171
    • Jeleníc, G.1    Crisfield, M.A.2
  • 13
    • 52549092230 scopus 로고    scopus 로고
    • Waterloo Maple Inc., 615 Kumpf Drive, Waterloo, ON, Canada (Apr. 7)
    • MAPLE 9.5, Maplesoft, Waterloo Maple Inc., 615 Kumpf Drive, Waterloo, ON, Canada (Apr. 7 2004). www.maplesoft.com
    • (2004) MAPLE 9.5, Maplesoft
  • 14
    • 0035821826 scopus 로고    scopus 로고
    • A two-dimensional shear deformable beam for large rotation and deformation problems
    • 3
    • M.A. Omar A.A. Shabana 2001 A two-dimensional shear deformable beam for large rotation and deformation problems J. Sound Vib. 243 3 565 576
    • (2001) J. Sound Vib. , vol.243 , pp. 565-576
    • Omar, M.A.1    Shabana, A.A.2
  • 15
    • 0000314657 scopus 로고
    • On one-dimensional finite-strain beam theory: The plane problem
    • E. Reissner 1972 On one-dimensional finite-strain beam theory: the plane problem J. Appl. Math. Phys. 23 795 804
    • (1972) J. Appl. Math. Phys. , vol.23 , pp. 795-804
    • Reissner, E.1
  • 16
    • 0031997550 scopus 로고    scopus 로고
    • A vectorial approach to computational modelling of beams undergoing finite rotations
    • 3
    • J. Rhim S.W. Lee 1998 A vectorial approach to computational modelling of beams undergoing finite rotations Int. J. Numer. Meth. Eng. 41 3 527 540
    • (1998) Int. J. Numer. Meth. Eng. , vol.41 , pp. 527-540
    • Rhim, J.1    Lee, S.W.2
  • 17
    • 33244462428 scopus 로고    scopus 로고
    • Comparison of three-dimensional flexible beam elements for dynamic analysis: Finite element method and absolute nodal coordinate formulation
    • ASME, New York, Paper No. DETC2005-85104
    • Schwab, A.L., Meijaard, J.P.: Comparison of three-dimensional flexible beam elements for dynamic analysis: finite element method and absolute nodal coordinate formulation. In: Proceedings of the IDETC/CIE 2005 Long Beach, ASME, New York, Paper No. DETC2005-85104 (2005)
    • (2005) Proceedings of the IDETC/CIE 2005 Long Beach
    • Schwab, A.L.1    Meijaard, J.P.2
  • 18
    • 0031223710 scopus 로고    scopus 로고
    • Definition of the slopes and the finite element absolute nodal coordinate formulation
    • A.A. Shabana 1997 Definition of the slopes and the finite element absolute nodal coordinate formulation Multibody Syst. Dyn. 1 339 348
    • (1997) Multibody Syst. Dyn. , vol.1 , pp. 339-348
    • Shabana, A.A.1
  • 19
    • 0022060633 scopus 로고
    • A finite strain beam formulation, the three-dimensional dynamic problem. Part i
    • J.C. Simo 1985 A finite strain beam formulation, The three-dimensional dynamic problem. Part I Comput. Methods Appl. Mech. Eng. 49 55 70
    • (1985) Comput. Methods Appl. Mech. Eng. , vol.49 , pp. 55-70
    • Simo, J.C.1
  • 20
    • 0022896771 scopus 로고
    • On the dynamics of flexible beams under large overall motions-the plane case: Part i and II
    • J.C. Simo L. Vu-Quoc 1986 On the dynamics of flexible beams under large overall motions-the plane case: part I and II J. Appl. Mech. 53 849 863
    • (1986) J. Appl. Mech. , vol.53 , pp. 849-863
    • Simo, J.C.1    Vu-Quoc, L.2
  • 21
    • 1442283386 scopus 로고    scopus 로고
    • Description of elastic forces in absolute nodal coordinate formulation
    • 1
    • J.T. Sopanen A.M. Mikkola 2004 Description of elastic forces in absolute nodal coordinate formulation Nonlinear Dyn. 34 1 53 74
    • (2004) Nonlinear Dyn. , vol.34 , pp. 53-74
    • Sopanen, J.T.1    Mikkola, A.M.2
  • 22
    • 33748794524 scopus 로고    scopus 로고
    • Deformation modes of the finite element cross section
    • H. Sugiyama J. Gerstmayr A.A. Shabana 2006 Deformation modes of the finite element cross section J. Sound Vib. 298 1129 1149
    • (2006) J. Sound Vib. , vol.298 , pp. 1129-1149
    • Sugiyama, H.1    Gerstmayr, J.2    Shabana, A.A.3
  • 24
    • 13644283164 scopus 로고    scopus 로고
    • Three dimensional absolute nodal coordinate formulation for beam elements
    • R.Y. Yakoub A.A. Shabana 2001 Three dimensional absolute nodal coordinate formulation for beam elements ASME J. Mech. Des. 123 606 621
    • (2001) ASME J. Mech. Des. , vol.123 , pp. 606-621
    • Yakoub, R.Y.1    Shabana, A.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.