Analytical Method for Sliding Cable Structures in Engineering Based on Angle Bisector

Abstract:

In this paper, a simplified analysis method is proposed based on angle bisector to effectively get the internal forces and deformations of the sliding cable structure. First, the cable constraint caused by the pulley is modeled by fixed hinge. The stressfree length adjustment, internal forces, and alignment of subcables are obtained by using the unstressed length adjustment matrix constrained by the reaction forces vertical to the angle bisector direction equaling zero. Next, the angle of bisector is modified according to the deformed structure. The first step will be iterated until the cable forces are equal within tolerance. An analysis package is programmed based on this and numerical results show that the tension continuity and deformation relationship could be achieved by 2 to 4 iterations with high precision. The numerical example and engineering example demonstrate the correctness and efficiency of the proposed method.

Key words:bridge engineering; sliding cable structure; angle bisector; unstressed length; unstressed length adjustment matrix