A Helical Tape on Cylinder Subjected to Bending

Validity and limitation of analytical models for the bending stress of a helical wire in unbonded flexible pipes

“…In addition, more complex analytical models have been developed using the curve beam theory [20,25,26]. Tan et al [27] developed the theoretical model based on the minimum strain energy to study the higher order effects of the wire cross-section characteristics (e.g., the width and thickness ratio) over its deflection, and the results were verified using a finite element numerical model.…”

Post-buckling behaviour of slender structures with a bi-linear bending moment–curvature relationship

“…Although Love's equations are complex and difficult to solve analytically, an alternative approach was suggested by Lutchansky (1969), which directly calculates the deformation states of the helical elements according to different geometrical configurations before and after loading. Spillers et al (1983) followed a similar approach to investigate the mechanical behaviour of a helical tape on a bent cylinder. This work was continued by Oliveira et al (1985) who used Timoshenko's (1956Timoshenko's ( , 1964 formulae, describing the bending stiffness of a spring with a large helical angle, to evaluate the bending stiffness of helical armour layers.…”