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Implications of linearizations, approximations and computation algorithms in the second order analysis of frames

Report


Type Of Work

  • Report

Abstract

  • This paper discusses the implications of linearizations, approximations, and computation algorithms involved in the elastic second-order finite element analysis of frames. While most of the linearizations and approximations are well recognized in the literature, their implications on the nonlinear solution prove to be subtle and frequently elude the understanding of researchers in the field. Indeed, a careful reading of the relevant published literature reveals that the formulated equilibrium equations, the computation algorithms used or the statements made by some researchers often lack consistency and rigour. In this paper, algorithms that are consistent with the assumptions applied to nonlinear problems are elucidated and compared with each other. Numerical examples are presented in order to compare differing algorithms and to verify the propositions made in the paper.

Publication Date

  • 1996

Citation

  • Teh, L. H., & Clarke, M. J. (1996). Implications of linearizations, approximations and computation algorithms in the second order analysis of frames: Research Report - University of Sydney, School of Civil and Mining Engineering.

Scopus Eid

  • 2-s2.0-0030284093

Web Of Science Accession Number

Book Title

  • Research Report - University of Sydney, School of Civil and Mining Engineering

Start Page

  • 1

End Page

  • 80

Issue

  • 733

Type Of Work

  • Report

Abstract

  • This paper discusses the implications of linearizations, approximations, and computation algorithms involved in the elastic second-order finite element analysis of frames. While most of the linearizations and approximations are well recognized in the literature, their implications on the nonlinear solution prove to be subtle and frequently elude the understanding of researchers in the field. Indeed, a careful reading of the relevant published literature reveals that the formulated equilibrium equations, the computation algorithms used or the statements made by some researchers often lack consistency and rigour. In this paper, algorithms that are consistent with the assumptions applied to nonlinear problems are elucidated and compared with each other. Numerical examples are presented in order to compare differing algorithms and to verify the propositions made in the paper.

Publication Date

  • 1996

Citation

  • Teh, L. H., & Clarke, M. J. (1996). Implications of linearizations, approximations and computation algorithms in the second order analysis of frames: Research Report - University of Sydney, School of Civil and Mining Engineering.

Scopus Eid

  • 2-s2.0-0030284093

Web Of Science Accession Number

Book Title

  • Research Report - University of Sydney, School of Civil and Mining Engineering

Start Page

  • 1

End Page

  • 80

Issue

  • 733