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

Prathap, Gangan and Naganarayana, BP (1990) Analysis of locking and stress oscillations in a general curved beam element. International Journal for Numerical Methods in Engineering, 30 (1). pp. 177-200. ISSN 0029-5981

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Shear and membrane locking in a general quadratic curved beam element are studied. Locking is seen to be accompanied by significant quadratic oscillations in the axial force and cubic oscillations in the shear force. The functional reconstitution technique is applied to derive accurate error estimates for the manner in which locking is13; relieved and for the magnitude of the stress oscillations. The orthogonally correct field-consistent interpolations are determined for the optimal form of the element using an elegant concept of expanding strain interpolations in terms of Legendre polynomials. The popular two-point Gaussian integrated version of the element is shown13; to be nonorthogonal, resulting in a cubic oscillation in the shear force that curiously vanishes at the Barlow points.

Item Type: Article
Uncontrolled Keywords: Cantilever beams;Shear strain;Spherical coordinates; Stiffness matrix;Stress distribution;Structural vibration; Cartesian coordinates;Coordinate transformations;Projective geometry;Strain distribution
Subjects: ENGINEERING > Structural Mechanics
Depositing User: M/S ICAST NAL
Date Deposited: 02 Apr 2008
Last Modified: 24 May 2010 04:25

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