Consistency aspects of out-of plane bending, torsion and shear in a quadratic curved beam element

Naganarayana, BP and Prathap, Gangan (1988) Consistency aspects of out-of plane bending, torsion and shear in a quadratic curved beam element. Technical Report. National Aeronautical Laboratory, Bangalore,India.

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    Abstract

    Curved beams in civil engineering applications call for out-of- plane bending and torsion under the action of out-of-plane transverse shear loads. The design of a quadratic displacement type curved beam element capable of representing shear deformation as in the Timoshenko beam theory will call for special attention to be-paid to the manner in which the shear strain is to be represented. Field-inconsistent representations of the out- of- plane transverse shear strain will result in a loss Gf efficiency and introduce spuriou oscillations in the bending moment, torsional moment and shear force. The optimal field-consistent assumed strain interpolation for the shear is derived here and it is demonstrated that it has very high accuracy and is free from spurious force and moment oscillations.

    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: 03 Nov 2006
    Last Modified: 24 May 2010 09:52
    URI: http://nal-ir.nal.res.in/id/eprint/3261

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