Finite element analysis of belt skew caused by angular misalignment of rollers

Cheng, Hui; Yoshida, Kazuo; Yanabe, Shigeo

doi:10.1243/0954406042369107

Cited by 7 publications

(7 citation statements)

References 4 publications

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“…The measured data show that there is quite heavy noise caused by factors such as rough edges of the belt, illumination changes, and errors from image processing. However, the basic tendencies of the experimental and simulation results are the same, and they are very similar to the FEM and experimental results reported in Cheng et al 17 The data give a reasonable confirmation of the model.…”

Section: Experimental Verificationsupporting

confidence: 86%

“…Cheng et al 17,18 simulated the belt lateral motion caused by angular misalignment of rollers using the commercial FEM software MARC. Zhang 19 discussed the flat belt skew of two-pulley drives through FEM simulation and also derived theoretical solution of the skew.…”

Section: Introductionmentioning

confidence: 99%

“…To reveal the laws of the lateral motion of an endless belt, some researchers studied the lateral motion of an endless belt using the finite element method (FEM) and multi-body dynamics analysis method. Cheng et al 17,18 simulated the belt lateral motion caused by angular misalignment of rollers using the commercial FEM software MARC. Zhang 19 discussed the flat belt skew of two-pulley drives through FEM simulation and also derived theoretical solution of the skew.…”

Section: Introductionmentioning

confidence: 99%

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Lateral motion of the endless flat belt in a two-pulley belt system

Han

Yan

et al. 2017

Advances in Mechanical Engineering

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An analytical model of the lateral motion of the endless belt in a two-pulley belt system is proposed. This model can be used to forecast the transient and steady lateral motion of the belt when the tilted angle of the steering pulley is timevariant and it is valuable in the design and assessment of belt lateral position controllers. The responses of the belt to variations in the tilted angle of the steering pulley according to a piecewise step function are solved using the delay differential equation solver dde23 in MATLAB. The validity of the model is confirmed by experiments. The simulation and experimental results show that the belt tends to move to the side with a shorter center distance. In the steady phase of the step responses, the lateral belt velocities at different positions tend to be coincident with each other. A closed-form expression of the steady belt lateral velocity is derived. The expression shows the steady belt lateral velocity is proportional to the input tilted angle and the belt speed, and it increases with an increase in the center distance and the pre-load tension and a decrease in the radius of the pulleys and the belt bending stiffness.

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Section: Experimental Verificationsupporting

confidence: 86%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Lateral motion of the endless flat belt in a two-pulley belt system

Han

Yan

et al. 2017

Advances in Mechanical Engineering

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“…One significant example of belt-roller system modelling is presented by Cheng et al [8]. They simulated belt systems with the commercial software MARC and compared with experimental measurements.…”

Section: Introductionmentioning

confidence: 99%

Numerical and experimental analysis for the skew phenomena on the flexible belt and roller contact systems

Yoon

Choi

Suzuki³

2011

Proceedings of the Institution of Mechanical Engineers, Part C:

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The thin, flexible, flat belt system is frequently employed for power transmission, conveyor systems, and various manufacturing process equipments, such as printers, elevators, and automated teller machines. In general, some critical problems can happen during operation, since a thin flexible belt on rollers can easily skew. This is especially serious for high-speed belt operations. In this skewed situation, due to possible relative roller misalignment, roller deflection, and/or belt non-uniformity itself, a thin flexible belt can move along the perpendicular direction to the travelling direction. In this investigation, an efficient analysis method for simulating skewing phenomena of thin flexible belt systems is presented using the complete integration of large deformable finite element methods and multibody dynamics. A 4-node shell element is used to describe a thin flexible belt and two rigid cylindrical bodies describe the roller. Each cylindrical body is fixed with a pin joint and the positions of the rollers are adjusted to impose a tension to the belt. For the interactions between the belt and the rollers, an efficient contact search algorithm based on a compliant contact force model is presented in this study. The contact search algorithm is composed of a pre-search and a detailed search to identify points of contact between the belt and the rollers. In the pre-search, a simple algorithm is used to identify lines on the belt that are close enough to the rollers that there might potentially be contact between them. The detailed search is performed by making efficient two-dimensional (2D) comparisons of the cross-section of the roller with a 2D projection of the belt lines identified in the pre-search. Afterwards, the contact force is generated by a compliant force model that uses a stick-slip frictional algorithm. The simulation model is validated against experimental measurement systems for thin flexible belt and rollers. It shows a good agreement with the numerical results. Furthermore CPU time with commercial software ANSYS Workbench is compared to check the performance of the algorithm. The proposed method is more than 10 times faster compared with ANSYS Workbench.

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“…The development of simulation tools may help to shorten the development period of these kinds of products. Cheng et al (2004) simulated belt skew for a basic belt conveyor system, consisting of one flat belt and two cylindrical rollers using MSC (Marc commercial finite element analysis software). The belt skew or mistracking was caused by angular misalignment of rollers.…”

Section: Introductionmentioning

confidence: 99%

Effect of belt transport speed and other factors on belt mistracking

Kobayashi

Toya

2007

Microsyst Technol

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Rubber rollers and conveyor belts transport flexible sheet-type media. With high-speed belt transporting systems such as mail sorters, demand for an increase in speed may cause the belt to come off. Therefore, we have examined the effects of belt transport speed and other factors that may cause belt mistracking for a basic belt conveyor system, consisting of one flat belt and two crown-face rollers. Experiments were conducted and we have formulated an experimental expression of the amount of belt mistracking using the roller misalignment parameters. As for transport speed, a speed increase did not enlarge belt mistracking. This tendency was explained by applying the cornering force of automotive engineering. In parallel, simulation was conducted using commercial motion system analysis software. The qualitative tendencies of the belt mistracking from simulation and experiment were in good agreement and factorial effects were clarified for ten parameters. Quantitatively, when axial load on rollers and other parameters were made equal, the belt mistracking according to simulation was generally in agreement with the experimental value.

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Finite element analysis of belt skew caused by angular misalignment of rollers

Cited by 7 publications

References 4 publications

Lateral motion of the endless flat belt in a two-pulley belt system

Lateral motion of the endless flat belt in a two-pulley belt system

Numerical and experimental analysis for the skew phenomena on the flexible belt and roller contact systems

Effect of belt transport speed and other factors on belt mistracking

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