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Volumn 197, Issue 6-8, 2008, Pages 857-878

Dynamic analysis of beam structures considering geometric and constitutive nonlinearity

Author keywords

Beam model; Damage index; Geometric nonlinearity; Mixing theory; Newmark' scheme; Nonlinear analysis; Visco damage

Indexed keywords

DYNAMIC ANALYSIS; GEOMETRY; KINEMATICS; MATHEMATICAL MODELS; NUMERICAL METHODS; TENSORS; THERMODYNAMICS; VISCOSITY;

EID: 36048982881     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2007.09.013     Document Type: Article
Times cited : (42)

References (53)
  • 3
    • 32544456318 scopus 로고    scopus 로고
    • Numerical modeling of softening hinges in the Euler-Bernoulli beams
    • Armero F., and Ehrlich D. Numerical modeling of softening hinges in the Euler-Bernoulli beams. Comput. Struct. 84 (2005) 641-656
    • (2005) Comput. Struct. , vol.84 , pp. 641-656
    • Armero, F.1    Ehrlich, D.2
  • 4
    • 2942753757 scopus 로고    scopus 로고
    • An analysis of strain localization and wave propagation in plastic models of beams at failure
    • Armero F., and Ehrlich D. An analysis of strain localization and wave propagation in plastic models of beams at failure. Comput. Methods Appl. Mech. Engrg. 193 (2004) 3129-3171
    • (2004) Comput. Methods Appl. Mech. Engrg. , vol.193 , pp. 3129-3171
    • Armero, F.1    Ehrlich, D.2
  • 5
    • 13944274939 scopus 로고    scopus 로고
    • Finite element methods for the analysis of softening plastic hinges in beams and frames
    • Armero F., and Ehrlich D. Finite element methods for the analysis of softening plastic hinges in beams and frames. Comput. Mech. 35 (2005) 237-264
    • (2005) Comput. Mech. , vol.35 , pp. 237-264
    • Armero, F.1    Ehrlich, D.2
  • 6
    • 0038495539 scopus 로고    scopus 로고
    • Energy-dissipating momentum-conserving time-stepping algorithms for the dynamic of nonlinear Cosserat rods
    • Armero F., and Romero I. Energy-dissipating momentum-conserving time-stepping algorithms for the dynamic of nonlinear Cosserat rods. Comput. Mech. 31 (2003) 3-26
    • (2003) Comput. Mech. , vol.31 , pp. 3-26
    • Armero, F.1    Romero, I.2
  • 8
    • 0033321947 scopus 로고    scopus 로고
    • Conservation of angular momentum and energy in the integration of non-linear dynamic equations
    • Briseghella L., Majorana C.E., and Pellegrino C. Conservation of angular momentum and energy in the integration of non-linear dynamic equations. Comput. Methods Appl. Mech. Engrg. 179 (1999) 247-263
    • (1999) Comput. Methods Appl. Mech. Engrg. , vol.179 , pp. 247-263
    • Briseghella, L.1    Majorana, C.E.2    Pellegrino, C.3
  • 9
    • 0342368742 scopus 로고    scopus 로고
    • An anisotropic elasto plastic constitutive model for large strain analysis of fiber reinforced composite materials
    • Car E., Oller S., and Oñnate E. An anisotropic elasto plastic constitutive model for large strain analysis of fiber reinforced composite materials. Comput. Methods Appl. Mech. Engrg. 185 (2000) 245-277
    • (2000) Comput. Methods Appl. Mech. Engrg. , vol.185 , pp. 245-277
    • Car, E.1    Oller, S.2    Oñnate, E.3
  • 10
    • 0033535851 scopus 로고    scopus 로고
    • Evaluation of simple bifurcation points and post-critical path in large finite rotations problems
    • Cardona A., and Huespe A. Evaluation of simple bifurcation points and post-critical path in large finite rotations problems. Comput. Methods Appl. Mech. Engrg. 175 (1999) 137-156
    • (1999) Comput. Methods Appl. Mech. Engrg. , vol.175 , pp. 137-156
    • Cardona, A.1    Huespe, A.2
  • 11
    • 0024116484 scopus 로고
    • A beam finite element non-Linear theory with finite rotations
    • Cardona A., and Gerardin M. A beam finite element non-Linear theory with finite rotations. Int. J. Numer. Methods Engrg. 26 (1988) 2403-2438
    • (1988) Int. J. Numer. Methods Engrg. , vol.26 , pp. 2403-2438
    • Cardona, A.1    Gerardin, M.2
  • 12
    • 33746451257 scopus 로고    scopus 로고
    • Objectivity of strain measures in the geometrically exact three-dimensional beam theory and its finite-element implementation
    • Crisfield M.A., and Jelenic̀ G. Objectivity of strain measures in the geometrically exact three-dimensional beam theory and its finite-element implementation. Royal Soc. 455 (1999) 1125-1147
    • (1999) Royal Soc. , vol.455 , pp. 1125-1147
    • Crisfield, M.A.1    Jelenic̀, G.2
  • 13
    • 0037116399 scopus 로고    scopus 로고
    • Overstrength and force reduction factors of multistorey reinforced concrete buildings
    • Elnashai A.S., and Mwafi A.M. Overstrength and force reduction factors of multistorey reinforced concrete buildings. Struct. Des. Tall Build. 11 (2002) 329-351
    • (2002) Struct. Des. Tall Build. , vol.11 , pp. 329-351
    • Elnashai, A.S.1    Mwafi, A.M.2
  • 14
    • 51249167957 scopus 로고
    • A survey of the core-congruential formulation for geometrically nonlinear TL finite elements
    • Felippa C.A., Crivelli L.A., and Haugen B. A survey of the core-congruential formulation for geometrically nonlinear TL finite elements. Arch. Comput. Methods Engrg. 1 (1994) 1-48
    • (1994) Arch. Comput. Methods Engrg. , vol.1 , pp. 1-48
    • Felippa, C.A.1    Crivelli, L.A.2    Haugen, B.3
  • 15
    • 0034734143 scopus 로고    scopus 로고
    • Theory and numerics of three-dimensional beams with elastoplastic material behavior
    • Gruttmann F., Sauer R., and Wagner W. Theory and numerics of three-dimensional beams with elastoplastic material behavior. Int. J. Numer. Methods Engrg. 48 (2000) 1675-1702
    • (2000) Int. J. Numer. Methods Engrg. , vol.48 , pp. 1675-1702
    • Gruttmann, F.1    Sauer, R.2    Wagner, W.3
  • 17
    • 0036684185 scopus 로고    scopus 로고
    • Finite element methodology for local/global damage evaluation in civil engineering structures
    • Hanganu A.D., Oñate E., and Barbat A.H. Finite element methodology for local/global damage evaluation in civil engineering structures. Comput. Struct. 80 (2002) 667-1687
    • (2002) Comput. Struct. , vol.80 , pp. 667-1687
    • Hanganu, A.D.1    Oñate, E.2    Barbat, A.H.3
  • 18
    • 34250088561 scopus 로고
    • On a consistent theory, and variational formulation of finitely stretched and rotated 3-D space-curved beams
    • Iaura M., and Atluri S.N. On a consistent theory, and variational formulation of finitely stretched and rotated 3-D space-curved beams. Comput. Mech. 4 (1989) 73-78
    • (1989) Comput. Mech. , vol.4 , pp. 73-78
    • Iaura, M.1    Atluri, S.N.2
  • 19
    • 0029291922 scopus 로고
    • On finite element implementation of geometrically nonlinear Reissner's beam theory: three-dimensional curved beam elements
    • Ibrahimbegović A. On finite element implementation of geometrically nonlinear Reissner's beam theory: three-dimensional curved beam elements. Comput. Methods Appl. Mech. Engrg. 122 (1995) 11-26
    • (1995) Comput. Methods Appl. Mech. Engrg. , vol.122 , pp. 11-26
    • Ibrahimbegović, A.1
  • 20
    • 0037119515 scopus 로고    scopus 로고
    • Energy conserving/decaying implicit time-stepping scheme for nonlinear dynamics of three-dimensional beams undergoing finite rotations
    • Ibrahimbegović A., and Mamouri S. Energy conserving/decaying implicit time-stepping scheme for nonlinear dynamics of three-dimensional beams undergoing finite rotations. Comput. Methods Appl. Mech. Engrg. 191 (2002) 4241-4258
    • (2002) Comput. Methods Appl. Mech. Engrg. , vol.191 , pp. 4241-4258
    • Ibrahimbegović, A.1    Mamouri, S.2
  • 21
    • 0037402443 scopus 로고    scopus 로고
    • Non-linear dynamics of flexible multibody systems
    • Ibrahimbegović A., Taylor R.L., and Lim H. Non-linear dynamics of flexible multibody systems. Comput. Struct. 81 (2003) 1113-1132
    • (2003) Comput. Struct. , vol.81 , pp. 1113-1132
    • Ibrahimbegović, A.1    Taylor, R.L.2    Lim, H.3
  • 22
    • 0034251454 scopus 로고    scopus 로고
    • Quadratically convergent direct calculation of critical points for 3D structures undergoing finite rotations
    • Ibrahimbegović A., and Al Mikdad M. Quadratically convergent direct calculation of critical points for 3D structures undergoing finite rotations. Comput. Methods Appl. Mech. Engrg. 189 (2000) 107-120
    • (2000) Comput. Methods Appl. Mech. Engrg. , vol.189 , pp. 107-120
    • Ibrahimbegović, A.1    Al Mikdad, M.2
  • 23
    • 0001722832 scopus 로고    scopus 로고
    • Finite element method in dynamics of flexible multibody systems: modeling of holonomic constraints and energy conserving integration schemes
    • Ibrahimbegović A., Mamouri S., Taylor R.L., and Chen A.J. Finite element method in dynamics of flexible multibody systems: modeling of holonomic constraints and energy conserving integration schemes. Multibody Syst. Dyn. 4 (2000) 195-223
    • (2000) Multibody Syst. Dyn. , vol.4 , pp. 195-223
    • Ibrahimbegović, A.1    Mamouri, S.2    Taylor, R.L.3    Chen, A.J.4
  • 24
    • 0037175266 scopus 로고    scopus 로고
    • On the role of frame-invariance in structural mechanics models at finite rotations
    • Ibrahimbegović A., and Taylor R.L. On the role of frame-invariance in structural mechanics models at finite rotations. Comput. Methods Appl. Mech. Engrg. 191 (2002) 5159-5176
    • (2002) Comput. Methods Appl. Mech. Engrg. , vol.191 , pp. 5159-5176
    • Ibrahimbegović, A.1    Taylor, R.L.2
  • 25
    • 0030379932 scopus 로고    scopus 로고
    • On the role of geometrically exact and second-order theories in buckling and post-buckling analysis of three-dimensional beam structures
    • Ibrahimbegović A., Shakourzadeh H., Batoz J.L., Mikdad M.A., and Ying-Qiao G. On the role of geometrically exact and second-order theories in buckling and post-buckling analysis of three-dimensional beam structures. Comput. Struct. 61 (1996) 1101-1114
    • (1996) Comput. Struct. , vol.61 , pp. 1101-1114
    • Ibrahimbegović, A.1    Shakourzadeh, H.2    Batoz, J.L.3    Mikdad, M.A.4    Ying-Qiao, G.5
  • 26
    • 0032026641 scopus 로고    scopus 로고
    • Finite rotations in dynamics of beams and implicit time-stepping schemes
    • Ibrahimbegović A., and Al Mikdad M. Finite rotations in dynamics of beams and implicit time-stepping schemes. Int. J. Numer. Methods Engrg. 41 (1998) 781-814
    • (1998) Int. J. Numer. Methods Engrg. , vol.41 , pp. 781-814
    • Ibrahimbegović, A.1    Al Mikdad, M.2
  • 27
    • 0029229937 scopus 로고
    • A kinematically exact space finite strain beam model-finite element formulation by generalized virtual work principle
    • Jelenic̀ G., and Saje M. A kinematically exact space finite strain beam model-finite element formulation by generalized virtual work principle. Comput. Methods Appl. Mech. Engrg. 120 (1995) 131-161
    • (1995) Comput. Methods Appl. Mech. Engrg. , vol.120 , pp. 131-161
    • Jelenic̀, G.1    Saje, M.2
  • 28
    • 0002118342 scopus 로고    scopus 로고
    • Seismic damage indices for RC buildings: Evaluation of concepts and procedures
    • Kappos A.J. Seismic damage indices for RC buildings: Evaluation of concepts and procedures. Constr. Res. Commun. Ltd. 1 (1997) 78-87
    • (1997) Constr. Res. Commun. Ltd. , vol.1 , pp. 78-87
    • Kappos, A.J.1
  • 29
    • 0015357733 scopus 로고
    • On the thermodynamic foundations of non-linear mechanics
    • Lubliner J. On the thermodynamic foundations of non-linear mechanics. Int. J. Non-Linear Mech. 7 (1972) 237-254
    • (1972) Int. J. Non-Linear Mech. , vol.7 , pp. 237-254
    • Lubliner, J.1
  • 30
    • 0038157324 scopus 로고    scopus 로고
    • On a geometrically exact curved/twisted beam theory under rigid cross-section assumption
    • Kapania R.K., and Li J. On a geometrically exact curved/twisted beam theory under rigid cross-section assumption. Comput. Mech. 30 (2003) 428-443
    • (2003) Comput. Mech. , vol.30 , pp. 428-443
    • Kapania, R.K.1    Li, J.2
  • 31
    • 0038265358 scopus 로고    scopus 로고
    • A formulation and implementation of geometrically exact curved beam elements incorporating finite strains and finite rotations
    • Kapania R.K., and Li J. A formulation and implementation of geometrically exact curved beam elements incorporating finite strains and finite rotations. Comput. Mech. 30 (2003) 444-459
    • (2003) Comput. Mech. , vol.30 , pp. 444-459
    • Kapania, R.K.1    Li, J.2
  • 33
    • 36049035767 scopus 로고    scopus 로고
    • Total Lagrangian parametrization of rotation manifold
    • Mäkinen J., and Marjamäki H. Total Lagrangian parametrization of rotation manifold. ENOC Hedinhoven Netherlands (2005) 522-530
    • (2005) ENOC Hedinhoven Netherlands , pp. 522-530
    • Mäkinen, J.1    Marjamäki, H.2
  • 34
    • 0035930926 scopus 로고    scopus 로고
    • Critical study of the Newmark-scheme on manifold of finite rotation
    • Mäkinen J. Critical study of the Newmark-scheme on manifold of finite rotation. Comput. Methods Appl. Mech. Engrg. 191 (2001) 817-828
    • (2001) Comput. Methods Appl. Mech. Engrg. , vol.191 , pp. 817-828
    • Mäkinen, J.1
  • 35
    • 34548309427 scopus 로고    scopus 로고
    • Static analysis of beam structures under nonlinear geometric and constitutive behavior
    • Mata A P., Oller S., and Barbat A.H. Static analysis of beam structures under nonlinear geometric and constitutive behavior. Comput. Methods Appl. Mech. Engrg. 196 (2007) 4458-4478
    • (2007) Comput. Methods Appl. Mech. Engrg. , vol.196 , pp. 4458-4478
    • Mata A, P.1    Oller, S.2    Barbat, A.H.3
  • 36
    • 0000703409 scopus 로고
    • Isotropic damage models and smeared crack analysis of concrete
    • Pineridge Press, Zell Am See, Austria
    • Oliver J., Cervera M., Oller S., and Lubliner J. Isotropic damage models and smeared crack analysis of concrete. Proceedings 2nd ICCAADCS vol. 2 (1990), Pineridge Press, Zell Am See, Austria 945-958
    • (1990) Proceedings 2nd ICCAADCS , vol.2 , pp. 945-958
    • Oliver, J.1    Cervera, M.2    Oller, S.3    Lubliner, J.4
  • 37
    • 2942746163 scopus 로고    scopus 로고
    • Continuum approach to material failure in strong discontinuity settings
    • Oliver J., and Huespe A.E. Continuum approach to material failure in strong discontinuity settings. Comput. Methods Appl. Mech. Engrg. 193 (2004) 3195-3220
    • (2004) Comput. Methods Appl. Mech. Engrg. , vol.193 , pp. 3195-3220
    • Oliver, J.1    Huespe, A.E.2
  • 38
    • 33646192763 scopus 로고    scopus 로고
    • Moment-curvature damage model for bridges subjected to seismic loads
    • Oller S., and Barbat A.H. Moment-curvature damage model for bridges subjected to seismic loads. Comput. Methods Appl. Mech. Engrg. 195 (2006) 4490-4511
    • (2006) Comput. Methods Appl. Mech. Engrg. , vol.195 , pp. 4490-4511
    • Oller, S.1    Barbat, A.H.2
  • 39
    • 0030196733 scopus 로고    scopus 로고
    • A plastic damage constitutive model for composites materials
    • Oller S., Oñate E., Miquel J., and Botello S. A plastic damage constitutive model for composites materials. Int. J. Solids Struct. 33 (1996) 2501-2518
    • (1996) Int. J. Solids Struct. , vol.33 , pp. 2501-2518
    • Oller, S.1    Oñate, E.2    Miquel, J.3    Botello, S.4
  • 40
    • 36049013863 scopus 로고    scopus 로고
    • I. Papaioannou, M. Fragiadakis, M. Papadrakakis, Inelastic analysis of framed structures using the fiber approach, in: 5th GRACM International Congress on Computational Mechanics, 2005.
  • 41
    • 0030081811 scopus 로고    scopus 로고
    • Geometrically non-linear and elastoplastic three-dimensional shear flexible beam element of Von-Mises-type hardening material
    • Park M.S., and Lee B.C. Geometrically non-linear and elastoplastic three-dimensional shear flexible beam element of Von-Mises-type hardening material. Int. J. Numer. Methods Engrg. 39 (1996) 383-408
    • (1996) Int. J. Numer. Methods Engrg. , vol.39 , pp. 383-408
    • Park, M.S.1    Lee, B.C.2
  • 42
    • 0015632528 scopus 로고
    • On one-dimensional large-displacement finite-strain beam theory
    • Reissner E. On one-dimensional large-displacement finite-strain beam theory. Stud. Appl. Math. 2 (1973) LII 87-LII 95
    • (1973) Stud. Appl. Math. , vol.2
    • Reissner, E.1
  • 43
    • 0000314657 scopus 로고
    • On one-dimensional finite-strain beam theory: the plane problem
    • Reissner E. On one-dimensional finite-strain beam theory: the plane problem. J. Appl. Math. Phys. 23 (1972) 795-804
    • (1972) J. Appl. Math. Phys. , vol.23 , pp. 795-804
    • Reissner, E.1
  • 44
    • 0037199851 scopus 로고    scopus 로고
    • An objective finite element formulation of the kinematics of geometrically exact rods and its use in the formulation of an energy-momentum conserving scheme in dynamics
    • Romero I., and Armero F. An objective finite element formulation of the kinematics of geometrically exact rods and its use in the formulation of an energy-momentum conserving scheme in dynamics. Int. J. Numer. Methods Engrg. 54 (2002) 1683-1716
    • (2002) Int. J. Numer. Methods Engrg. , vol.54 , pp. 1683-1716
    • Romero, I.1    Armero, F.2
  • 45
    • 0032068455 scopus 로고    scopus 로고
    • A kinematically exact finite element formulation of elastic-plastic curved beams
    • Saje M., Turk G., Kalagasidu A., and Vratanar B. A kinematically exact finite element formulation of elastic-plastic curved beams. Comput. Struct. 67 (1998) 197-214
    • (1998) Comput. Struct. , vol.67 , pp. 197-214
    • Saje, M.1    Turk, G.2    Kalagasidu, A.3    Vratanar, B.4
  • 46
    • 12744250287 scopus 로고    scopus 로고
    • Fiber-element model for cyclic analysis of concrete-filled fiber reinforced polymer tubes
    • Shao Y., Aval S., and Mirmiran A. Fiber-element model for cyclic analysis of concrete-filled fiber reinforced polymer tubes. J. Struct. Engrg. 131 (2005) 292-303
    • (2005) J. Struct. Engrg. , vol.131 , pp. 292-303
    • Shao, Y.1    Aval, S.2    Mirmiran, A.3
  • 47
    • 0022060633 scopus 로고
    • A finite strain beam formulation. The three-dimensional dynamic problem. Part I
    • Simo J.C. A finite strain beam formulation. The three-dimensional dynamic problem. Part I. Comput. Methods Appl. Mech. Engrg. 49 (1985) 55-70
    • (1985) Comput. Methods Appl. Mech. Engrg. , vol.49 , pp. 55-70
    • Simo, J.C.1
  • 48
    • 0022792209 scopus 로고
    • A three-dimensional finite-strain rod model. Part II: Computational aspects
    • Simo J.C., and Vu-Quoc L. A three-dimensional finite-strain rod model. Part II: Computational aspects. Comput. Methods Appl. Mech. Engrg. 58 (1986) 79-116
    • (1986) Comput. Methods Appl. Mech. Engrg. , vol.58 , pp. 79-116
    • Simo, J.C.1    Vu-Quoc, L.2
  • 49
    • 0023964748 scopus 로고
    • On the dynamics in space of rods undergoing large motions - a geometrically exact approach
    • Simo J.C., and Vu-Quoc L. On the dynamics in space of rods undergoing large motions - a geometrically exact approach. Comput. Methods Appl. Mech. Engrg. 66 (1988) 125-161
    • (1988) Comput. Methods Appl. Mech. Engrg. , vol.66 , pp. 125-161
    • Simo, J.C.1    Vu-Quoc, L.2
  • 50
    • 0021386697 scopus 로고
    • Numerical formulations of elasto-viscoplastic response of beams accounting for the effect of shear
    • Simo J.C., Hjelmstad K.D., and Taylor R.L. Numerical formulations of elasto-viscoplastic response of beams accounting for the effect of shear. Comput. Methods Appl. Mech. Engrg. 42 (1984) 301-330
    • (1984) Comput. Methods Appl. Mech. Engrg. , vol.42 , pp. 301-330
    • Simo, J.C.1    Hjelmstad, K.D.2    Taylor, R.L.3
  • 51
    • 0026939543 scopus 로고
    • Exact energy-momentum conserving algorithms and symplectic schemes for nonlinear dynamics
    • Simo J.C., Tarnow N., and Wong K.K. Exact energy-momentum conserving algorithms and symplectic schemes for nonlinear dynamics. Comput. Methods Appl. Mech. Engrg. 100 (1992) 63-116
    • (1992) Comput. Methods Appl. Mech. Engrg. , vol.100 , pp. 63-116
    • Simo, J.C.1    Tarnow, N.2    Wong, K.K.3
  • 52
    • 0038495088 scopus 로고    scopus 로고
    • Constrained dynamics of geometrically exact beams
    • Betsch P., and Steinmann P. Constrained dynamics of geometrically exact beams. Comput. Mech. 31 (2003) 49-59
    • (2003) Comput. Mech. , vol.31 , pp. 49-59
    • Betsch, P.1    Steinmann, P.2
  • 53
    • 10844268823 scopus 로고    scopus 로고
    • Elastoplastic large deflection analysis of three-dimensional steel frames
    • Shugyo M. Elastoplastic large deflection analysis of three-dimensional steel frames. J. Struct. Engrg. ASCE (2003) 1259-1267
    • (2003) J. Struct. Engrg. ASCE , pp. 1259-1267
    • Shugyo, M.1


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