Abstract
In this paper, an efficient curved cubic B-spline beam element is developed based on the field consistency principle, for vibration analysis. The formulation is general in the sense that it includes anisotropy, transverse shear deformation, in-plane and rotary inertia effects. The element is based on laminated refined beam theory, which satisfies the interface transverse shear stress and displacement continuity, and has a vanishing shear stress on the top and bottom surfaces of the beam. The lack of consistency in the shear and membrane strain field interpolations in their constrained physical limits causes poor convergence and unacceptable results due to locking. Hence, numerical experimentation is conducted to check these deficiencies with a series of assumed shear/membrane strain functions, redistributed in a field-consistent manner. The performance of the element is assessed by studying the free vibration behaviour of a variety of problems ranging from a straight beam to a circular ring. Copyright © 1999 John Wiley & Sons, Ltd.
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