Computer-aided modeling of wire ropes bent over a sheave

Ma, Wensheng; Zhu, Zhencai; Peng, Yuxing; Chen, G. A.

doi:10.1016/j.advengsoft.2015.06.006

Cited by 15 publications

(4 citation statements)

References 23 publications

(54 reference statements)

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“…Stanova et al 12,13 used CATIA and relevant tools to simulate the wire rope structures and also gave a relevant analysis of FEM. Ma et al 14 simulated the wire rope bent over sheave based on ProE ® . Alpyildiz 15 presented the equation of braided strands and also showed the simulation models based on a kind of description method.…”

Section: Computer-aided Modeling Of Braided Structuresmentioning

confidence: 99%

Mathematical and geometrical modeling of braided ropes bent over a sheave

Sheng

et al. 2020

Journal of Engineered Fibers and Fabrics

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As soft elements for force transmission, braided fiber ropes play important roles in many fields where the fiber ropes are used bent over sheaves, while the relevant experiments are time-consuming and expensive. Computational simulation is a promising choice for evaluating the performance of fiber ropes when bent over a sheave. This article presents two methods that could be employed to build a model of braided rope bent over a sheave. One is the mathematical method which deduces the exact mathematical equations of braiding curves based on the Frenet–Serret frame. The spatial equations, considering the phase difference of strands in the same direction and the difference of strands’ projection in different directions, are discussed carefully. The final equation of braided strands is confirmed by modeling the braided rope in Maple® 17. The other method, which is inspired by the analysis of braiding movements, is based on the intersection of surfaces of braiding surface and helical surface which are introduced and defined based on the motion analysis of bobbins and take-up roller. The SolidWorks® 2018 is successfully employed to realize the modeling process.

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Section: Computer-aided Modeling Of Braided Structuresmentioning

confidence: 99%

Mathematical and geometrical modeling of braided ropes bent over a sheave

Sheng

et al. 2020

Journal of Engineered Fibers and Fabrics

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“…Two years later, the author worked with Fedorko et al [11] to deduce a (3 + 9) and (3 + 9 + 15) mathematical model of wire rope with a triangular section and accurately calculate the solid model of double-layered triangular steel wire rope. Both Ma et al [12] and Wu et al [13] completed the modeling of arc wire rope based on Frenet-Serret frame theory. In order to correctly analyze the mechanical characteristics of multiple superposition of wire rope in groove in mine hoisting, Peng et al [14] simplified the multiple superposition of wire rope into the superposition of no-joint wire ropes.…”

Section: Introductionmentioning

confidence: 99%

Theory and Implementation of No‐Joint Wire Rope Spatial Geometry Modeling

Zhang

et al. 2019

Mathematical Problems in Engineering

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This paper takes a cross section of 6 × 7 + IWS wire rope as an example to complete the studies on a method of geometric modeling for no-joint wire rope and implementation of a 3D solid model. Frenet–Serret frame theory establishes three types of Frenet–Serret frame, which are double-helix winding straight line, single-helix winding arc, and double-helix winding arc, and it allows derivation of eight types of center line equation of wire. This paper has ascertained tangent condition of center lines of steel wires with the same name between arc and straight-line wire rope and closed condition of no-joint wire rope. It has been concluded that the length of steel wire must be an integer multiple of its lay pitch either in arc wire rope or in straight-line wire rope, and the name of wires in each wire rope must be consistent at the same time. Finally, using Pro/ENGINEER Wildfire 5.0 software generates a 3D solid model of no-joint wire rope.

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“…Stanova et al (2011) fully considered the spatial spiral structure of a single wire and stranded ropes and developed a parametric mathematical model of the wire rope. Ma et al (2015) deduced a function expression for the central line of a wire rope based on the Serret-Frenet frame theory. Using the differential geometry theory as the theoretical basis, Hobbs and Nabijou (1995) and Nabijou and Hobs (1995) provided a path expression for a wire on a rope sheave based on the mathematical model of a vertical wire rope.…”

Section: Introductionmentioning

confidence: 99%

Model construction and experimental verification of the equivalent elastic modulus of a double-helix wire rope

Chen

Zhang

Bai

et al. 2018

jtam

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To accurately describe mechanical properties of a complex wire rope, a double-helix wire rope is used as an example in this study. According to the spatial structure characteristics of the central helical line of each wire rope, the spatial configuration curve for the double--helix wire rope is obtained by using differential geometry theory. On the basis of this curve, the mathematical model of the equivalent elastic modulus of the wire rope is developed, and the elastic modulus of a 6×7+IWS wire rope is measured using a universal tensile testing machine. The experimental results are compared with the predicted results to verify correctness of the elastic modulus prediction of the double-helix wire rope.

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Computer-aided modeling of wire ropes bent over a sheave

Cited by 15 publications

References 23 publications

Mathematical and geometrical modeling of braided ropes bent over a sheave

Mathematical and geometrical modeling of braided ropes bent over a sheave

Theory and Implementation of No‐Joint Wire Rope Spatial Geometry Modeling

Model construction and experimental verification of the equivalent elastic modulus of a double-helix wire rope

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