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Original Articles

Improved Displacement-Field Approximation for Geometrical Nonlinear Flexibility-Based Planar Curved Element in State SpaceFootnote#

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Pages 475-502 | Received 16 Mar 2009, Accepted 28 Jun 2009, Published online: 20 Oct 2009

REFERENCES

  • Brenan , K. E. , Campbell , S. L. , Petzold , L. R. ( 1996 ). Numerical Solution of Initial-Value Problems in Differential-Algebraic Equations . Philadelphia : Society for Industrial and Applied Mathematics .
  • Ciampi , V. , Carlesimo , L. ( 1986 ). A Nonlinear Beam Element for Seismic Analysis of Structures. 8th European Conference on Earthquake Engineering, Lisbon, Portugal .
  • Cichon , C. ( 1984 ). Large displacements in-plane analysis of elastic-plastic frames . Computers and Structures 19 : 737 – 745 .
  • Crisfield , M. A. ( 1991 ). Nonlinear Finite Element Analysis of Solids and Structures, Volume 1: Essentials . New York : Wiley .
  • Huddleston , J. V. ( 1979 ). Nonlinear analysis of elastically constrained tie-rods under transverse loads . International Journal of Mechanical Sciences 21 ( 10 ): 623 – 630 .
  • Kapania , R. K. , Li , J. ( 2003a ). On geometrically exact curved/twisted beam theory under rigid cross section assumption . Journal of Computational Mechanics 30 : 428 – 443 .
  • Kapania , R. K. , Li , J. ( 2003b ). A formulation and implementation of geometrically exact curved beam elements incorporating finite strains and finite rotations . Journal of Computational Mechanics 30 : 444 – 459 .
  • Kim , J. G. , Kim , Y. Y. ( 1998 ). A new higher-order hybrid-mixed curved beam element . International Journal for Numerical Methods in Engineering 43 : 925 – 940 .
  • Kulikov , G. M. , Plotnikova , S. V. ( 2004 ). Non-conventional nonlinear two node hybrid stress strain curved beam elements . Finite Elements in Analysis and Design 40 : 1333 – 1359 .
  • Lee , S. , Manuel , F. S. , Rossow , E. C. ( 1968 ). Large deflections and stability of elastic frames . Journal of Engineering Mechanics ASCE 94 : 521 – 533 .
  • Li , Z. X. ( 2007 ). A mixed corotational formulation of 2D beam element using vectorial rotational variables . Communications in Numerical Methods in Engineering 23 : 45 – 69 .
  • Magalhaes de Souza , R. ( 2000 ). Force-based finite element for large displacement inelastic analysis of frames. PhD Dissertation, Department of Civil and Environmental Engineering, University of California, Berkeley .
  • Neuenhofer , A. , Filippou , F. C. ( 1998 ). Geometrically nonlinear flexibility-based frame finite element . Journal of Structural Engineering ASCE 124 : 704 – 711 .
  • Petrangeli , M. , Ciampi , V. (1997). Equilibrium based iterative solutions for the nonlinear beam problem. International Journal for Numerical Methods in Engineering 40:423–437.
  • Reissner , E. ( 1972 ). On one-dimensional finite-strain beam theory: The plane problem . Journal of Applied Mathematics and Physics (ZAMP) 23 : 795 – 804 .
  • Saje , M. ( 1991 ). Finite element formulation of finite planar deformation of curved elastic beams . Computers and Structures 39 : 327 – 337 .
  • Simeonov , V. K. , Sivaselvan , M. V. , Reinhorn , A. M. ( 2000 ). Nonlinear analysis of structural frame systems by the state space approach . Computer-Aided Civil & Infrastructure Engineering 15 ( 2 ): 76 – 89 .
  • Simo , J. C. ( 1985 ). A finite strain beam formulation: The three dimensional dynamics. Part I . Computer Methods in Applied Mechanics and Engineering 49 : 55 – 70 .
  • Simo , J. C. , Vu-Quoc , L. A. ( 1986 ). Three dimensional finite strain rod model, Part II: Computational aspects . Computer Methods in Applied Mechanics and Engineering 58 : 79 – 116 .
  • Sivaselvan , M. V. , Reinhorn , A. M. ( 2002 ). Collapse analysis: Large inelastic deformations analysis of planar frames . Journal of Structural Engineering ASCE 128 ( 12 ): 1575 – 1583 .
  • Spacone , E. , Ciampi , V. , Filippou , F. C. ( 1995 ). Mixed formulation of nonlinear beam finite element . Computers and Structures 58 : 71 – 83 .
  • Spacone , E. , Filippou , F. C. , Taucer , F. ( 1996 ). Fiber beam-column model for non-linear analysis of R/C frames, Part I: Formulation . Earthquake Engineering and Structural Dynamics 25 : 711 – 725 .
  • Taucer , F. , Spacone , E. , Filippou , F. C. ( 1992 ). A Fiber Beam-Column Element for Seismic Response Analysis of Reinforced Concrete Structures. EERC report, Earthquake Engineering Research .
  • Taylor , R. L. , Filippou , F. C. , Saritas , A. , Auricchio , F. ( 2003 ). A mixed finite element method for beam and frame problems . Journal of Computational Mechanics 31 : 192 – 203 .
  • Yang , Y. B. , Shieh , M. S. ( 1990 ). Solution method for nonlinear problems with multiple critical points . AIAA Journal 28 : 2110 – 2116 .
  • Zhang , C. , Di , S. ( 2003 ). New accurate two-noded shear flexible curved beam elements . Journal of Computational Mechanics 30 : 81 – 87 .
  • #Communicated by S. Cho.

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