A general framework for motion design of the follower in cam mechanisms by using non-uniform rational B-spline

Nguyen, Thi Thanh Nga; Kurtenbach, Stefan; Hüsing, Mathias; Corves, Burkhard

doi:10.1016/j.mechmachtheory.2019.03.029

Cited by 34 publications

(23 citation statements)

References 17 publications

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“…The application of contact theory to the cam-follower mechanism begins by determining the pressure angle along the rotation of the cam, and then calculating the contact force experienced by the mechanism [6]. As illustrated in Figure 2, the pressure angle involves the displacement and acceleration function of the Bézier curve, as well as a characteristic of the mechanism.…”

Section: Methodsmentioning

confidence: 99%

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Use of Bézier curves in the design of the displacement law of the cam-follower mechanism: Von Mises effective Stress

Peñaloza¹,

Ramón-Ramón²,

Bustos-Urbano³

2020

revuin

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Designing cams by BézierCurves has become increasingly common, since the mathematical development of this method is less complex. Bezier curves are Bernstein-based polynomials under a unitary domain, and in that sense, this article presents the design of a cam using Bezier curves of degrees 5, 7 and 9. And beyond, this article seeks to show the variation of the effective effort of Von Mises in a cam-follower mechanism composed of a disc cam and a roller follower with translation movement and force closure. The expressions that allow determining the variation of Von Mises' effort for each of the curves used are presented. This variation is presented by means of graphs in which it is observed that as the degree of the curve increases, the magnitude of the efforts is greater, and this increases the probability of failure in the mechanisms. In addition, it was found that there is an inverse relationship between the stress and the radius of the primary circle of the cam

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Section: Methodsmentioning

confidence: 99%

“…In the development of the paper is related the variables involved in the calculation of the effective stress of a mechanism formed by a disc cam with roller follower which has a translation movement. The curve that describes the position of the follower during an operation cycle has been made by means of Bézier curves, spline curve [6].…”

Section: Introductionmentioning

confidence: 99%

Use of Bézier curves in the design of the displacement law of the cam-follower mechanism: Von Mises effective Stress

Peñaloza¹,

Ramón-Ramón²,

Bustos-Urbano³

2020

revuin

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“…Due to their precise mathematical form, NURBS are nowadays the common way to describe free-form curves in computer-aided design [23]. In comparison to other common functions, NURBS can describe a nearly arbitrary motion by a few parameters [24,25]. Hence, motion curves can be defined in MechDev by NURBS.…”

Section: Modelling the Input Motion With Non-uniform-rational B-splinesmentioning

confidence: 99%

“…Both the control points and the weights have a high impact on the NURBS curve and thus can be used to manipulate the curve. In addition, the knot vector u has an influence on the NURBS curve [24]. Since the effect of the knot vector in comparison to the control points and the weights is low, MechDev always uses a uniform spaced knot vector for 0 ≤ u i ≤ 1.…”

Section: C(u)mentioning

confidence: 99%

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Linkage and Cam Design with MechDev Based on Non-Uniform Rational B-Splines

et al. 2020

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Several software products exist in order to support engineers during the mechanism design process. The software “Mechanism Developer” (abbr. MechDev) is one of these products. MechDev provides many functionalities concerning the kinematic and kinetostatic analysis of mechanisms based on revolute, prismatic as well as cam joints. This paper will introduce the software MechDev and will outline these functionalities. Furthermore, it will name the advantages of MechDev compared to other software products. In order to give an impression of the functionality of the software, this paper also includes a special use case. This use case describes a cam mechanism with a prismatic roller-follower. In order to optimize the transmission angle of the cam mechanism, the cam is actuated by a servo drive. To mathematically model the angular input of the servo drive, Non-Uniform Rational B-Splines (NURBS) are described and applied. Thus, a nearly arbitrary input function can be described by few parameters.

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An Evaluation of B-Spline for Synthesis of Cam Motion with a Large Number of Output Conditions

Nga

Nguyen

Ngoc

et al. 2020

Advances in Engineering Research and Application

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A general framework for motion design of the follower in cam mechanisms by using non-uniform rational B-spline

Cited by 34 publications

References 17 publications

Use of Bézier curves in the design of the displacement law of the cam-follower mechanism: Von Mises effective Stress

Use of Bézier curves in the design of the displacement law of the cam-follower mechanism: Von Mises effective Stress

Linkage and Cam Design with MechDev Based on Non-Uniform Rational B-Splines

An Evaluation of B-Spline for Synthesis of Cam Motion with a Large Number of Output Conditions

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