Abstract
This paper presents a nonlinear extension of a previous investigation. Tapering the edges on the concave side of a longitudinally bent strip according to a power-law is studied aiming to alleviate the anticlastic deformations of the strip. Conjugate gradient method is employed to calculate the specific dimensions of power-law taperings which will reduce the peak-to-trough deflection of the cross-section of a bent strip to a minimum. Optimum tapering width and thickness ratios and thickness variation parameter are presented in graphic and tabular form. The influence of Poisson's ratio on the tapering configuration is discussed. The results show that power-law tapering can reduce the peak-to-trough deflection to less than 1 per cent of the thickness of the strip.
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