In this paper, the nonlinear bending and instability of initial geometrical imperfect cylindrical tubes subjected to pure bending load are studied. The imperfection is assumed to be a small ovality expressed as Timoshenko initial noncircularity function. A set of new nonlinear differential equations is developed, through a virtual work principle with a Lagrange multiplier, and solved asymptotically by means of a perturbation method. The asymptotical expressions for a nonlinear moment-curvature relationship and a critical moment are obtained. The effect of the noncircularity on the bending and instability are examined. The results of numerical calculations are presented by curves and compared with available theoretical and experimental data.


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    Title :

    On nonlinear bending and instability of imperfect cylindrical tubes


    Contributors:
    Zhang, W.G. (author) / Li, D.X. (author)


    Publication date :

    1999


    Size :

    5 Seiten, 11 Quellen




    Type of media :

    Article (Journal)


    Type of material :

    Print


    Language :

    English




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