A linear thick curved beam element

Ramesh Babu, C and Prathap, Gangan (1985) A linear thick curved beam element. Technical Report. National Aeronautical Laboratory, Bangalore, India.

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Early attempts to derive curved beam and shell elements in a curvilinear system were dramatically unsuccessful. This was wrongly attributed to the failure of these elements to recover strain-free rigid body displacement modes in a curvilinear coordinate description.Recent evidence points to a membrane locking phenomenon that arises when constrained strain-fields corresponding to inextensional bending are not consistently recovered. A simple linear two-noded C sup 0 continuous thick curved beam element based on a curvilinear deep shell theory is derived free from shear and membrane locking. Lack of consistency in the shear and membrane strain-field interpolations in their constrained physical limits (Kirchhoff and inextensional bending limits respectively) causes very poor convergence due to locking and severe spurious oscillations in stress predictions. Error estimates for these are made and verified.

Item Type: Monograph (Technical Report)
Uncontrolled Keywords: Beams (Supports);Locking;Shells (Structural forms);Spherical coordinates;Bending;Displacement;Interpolation;Membranes;Strain distribution;Strain energy methods
Subjects: ENGINEERING > Structural Mechanics
ENGINEERING > Engineering (General)
Depositing User: M/S ICAST NAL
Date Deposited: 21 May 2008
Last Modified: 02 Sep 2015 08:29
URI: http://nal-ir.nal.res.in/id/eprint/4292

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