Analysis of locking and stress oscillations in a general curved beam element

Prathap, Gangan and Naganarayana, BP (1988) Analysis of locking and stress oscillations in a general curved beam element. Technical Report. National Aeronautical Laboratory, Bangalore, India.

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    Abstract

    The exactly integrated general quadratic curved beam element has both membrane and shear locking and significant quadratic oscillations in the axial force and cubic oscillations in the shear force. The functional re-constitution technique is applied to derive accurate error estimates for the manner in which locking is relieved and for the magnitude of the stress oscillations. The orthogonally correct field-consistent interpolations are determined for the optimal form of the element and it is shown that the popular two-point Gaussian integrated13; version of the element is non-orthogonal and has a cubic13; oscillation in the shear force that curiously vanishes at the Barlow points.

    Item Type: Proj.Doc/Technical Report (Technical Report)
    Uncontrolled Keywords: Finite element method;Field consistency;3-node curved beam element
    Subjects: ENGINEERING > Structural Mechanics
    Division/Department: Structures Division, Structures Division
    Depositing User: M/S ICAST NAL
    Date Deposited: 11 Aug 2008
    Last Modified: 24 May 2010 09:52
    URI: http://nal-ir.nal.res.in/id/eprint/3259

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