Research Papers

Modeling and Analysis of the Rope–Sheave Interaction at Traction Interface

[+] Author and Article Information
Xi Shi

School of Mechanical Engineering,
Shanghai Jiao Tong University,
800 Dong-Chuan Road,
Shanghai 200240, China
e-mail: xishi@sjtu.edu.cn

Yalu Pan, Xiaolong Ma

School of Mechanical Engineering,
Shanghai Jiao Tong University,
800 Dong-Chuan Road,
Shanghai 200240, China

1Corresponding author.

Manuscript received October 24, 2016; final manuscript received December 20, 2016; published online January 12, 2017. Editor: Yonggang Huang.

J. Appl. Mech 84(3), 031005 (Jan 12, 2017) (9 pages) Paper No: JAM-16-1519; doi: 10.1115/1.4035584 History: Received October 24, 2016; Revised December 20, 2016

In this paper, a three-dimensional (3D) finite-element (FE) contact model of a 6 + 1 wire rope strand bent over a simplified traction sheave is developed to investigate the traction behavior at the interface. The stress as well as the tension distribution within the 6 + 1 wire rope are discussed first. The FE analysis indicates that ascending preload at rope-ends leads to the incensement of the real contact wrap angle, which is critical in the calculation of traction capability. Meanwhile, the influences of groove angle on the contact pressure distribution and traction capability are demonstrated as well.

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Fig. 1

Traction configuration of rope and sheave

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Fig. 3

The 3D model of the curved rope

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Fig. 4

The Cartesian coordinate of wire rope

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Fig. 5

The meshed FE model of rope–traction sheave assemble

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Fig. 6

Loading steps and corresponding boundary conditions

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Fig. 8

The evolution of rope tensions T1 and T2 at both ends

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Fig. 9

The distribution of rope tension at two loading stages

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Fig. 10

The Mises stress of central wire at two loading stages

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Fig. 11

The Mises stress of helical wire at two loading stages

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Fig. 12

Mises stress contour of: (a) wrapping rope, (b) cross section at A, and (c) cross section at B

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Fig. 13

The distribution of contact pressure on groove surface with an axial preload of: (a) 20 N and (b) 200 N

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Fig. 14

The time-varying tensions (T1 and T2) at rope ends with a preload of: (a) 20 N, (b) 100 N, (c) 200 N, (d) 300 N, and (e) 400 N

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Fig. 15

The effect of pretension on the wrap angle

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Fig. 16

The effect of pretension on the equivalent COF

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Fig. 17

The time-varying rope tensions T1, T2 at both ends and the corresponding ratio T1/T2 at different groove angles

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Fig. 18

The distribution of contact pressure on groove surface with a groove angle of: (a) 30 deg, (b) 35 deg, and (c) 40 deg



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