Analysis and synthesis of the displacement function of the follower in constant-breadth cam mechanisms

Zayas, E.E.; Cardona, Salvador; Jordi, Lluïsa

doi:10.1016/j.mechmachtheory.2009.05.002

Cited by 21 publications

(20 citation statements)

References 10 publications

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“…From the designed displacement function () s θ , the cam profile according to the procedure presented by Zayas et al [10] is generated. Fig.…”

Section: Design Of a Displacement Function Of A Roller Follower Drivementioning

confidence: 99%

“…In previous works [10,11], the authors of this paper have used non-parametric Bézier curves to synthesize the follower displacement functions in constant-breadth cam mechanisms that drive both translating and oscillating followers. The authors' works present the desmodromic condition that the follower displacement functions must meet, as well as the calculation algorithms that permit such functions to be obtained; the procedure that automatically guarantees their 2 C global continuity is also shown.…”

Section: Introductionmentioning

confidence: 99%

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Parameter selection in the design of displacement and motion functions by means of B-splines

2018

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This work analyses the incidence of the parameter selection of B-spline curves, used in the design of displacement and motion functions , on its degree of freedom and shape. A complete design process based on the use of non-parametric B-spline curves and the convenience of selecting the curve parameters from the point of view of its practical application is shown. In order to make easy the design and use of the displacement function, the algorithms for derivation and integration of the B-splines used are presented. Three case studies validate the proposed design process and the selection of the adequate parameters. The first case presents the design of a displacement function of a roller follower driven by a disk cam; the corresponding cam profile and its prototype are shown. The second case presents the design of the motion function corresponding to the cutting unit of a manufacturing cardboard tube machine. The third case exposes the design of the displacement function of the bar feeding mechanism in a single-spindle automatic lathe, to produce a partial thread screw of hexagonal head. Response to Reviewers: The manuscript was properly revised as pointed out, so it is now acceptable for publication. The authors would thank to the reviewers and the editor their decision.

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“…From the designed displacement function () s θ , the cam profile according to the procedure presented by Zayas et al [10] is generated. Fig.…”

Section: Design Of a Displacement Function Of A Roller Follower Drivementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Parameter selection in the design of displacement and motion functions by means of B-splines

2018

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“…where P 1,2 are nth-degree Be´zier curves 8,9,18 and is the total rise angle, i.e. the cam angle required to reach the maximum displacement h of the follower (see Hidalgo-Martı´nez et al 13 for further details).…”

Section: Introductionmentioning

confidence: 99%

“…whereas the displacement function in the interval 5 5 2 (calculated segment) is given by the desmodromic condition 8,19 f ð Þ þ f þ ð Þ¼h ð4Þ To establish the continuity conditions between the designed and calculated segments, we derivate twice equation (4) respect to yielding,…”

Section: Introductionmentioning

confidence: 99%

Minimization of the sliding velocity in planar cam mechanisms with flat-faced translating followers

Hidalgo-Martínez

Sanmiguel‐Rojas

2015

Proceedings of the Institution of Mechanical Engineers, Part C:

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The sliding velocity plays an important role on the energetic efficiency and longer life of cam mechanisms with flat-faced translating followers. In this work, an optimization procedure published recently and based in the Bézier curves, is adapted to minimize the sliding velocities in this kind of cam mechanisms. Specifically, when the maximum lift of the follower, h, the total rise angle, , and the angular velocity of the cam, _ , are given, it is found the minimum prime circle radius, R Ã a , that minimizes the sliding velocity avoiding the undercutting.

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“…They defined the cam profile design of cam with different lengths of flat-faced followers. And ZAYAS et al [3] gave the displacement function of follower generated by constant breadth cam mechanisms. They built the displacement by combining segments for the complete cycle of displacement functions.…”

Section: Introductionmentioning

confidence: 99%

Kinematical system of breadth cam profile design

Shin

Yang

et al. 2011

J. Cent. South Univ. Technol.

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The design solutions for breadth cam mechanism were presented. The main topics of the shape design for breadth cam was to calculate the coordinate at each contact point to determine the cam profile. The proposed method according to velocity and geometric relationships of instant velocity centers can easily determine each contact point at any instant moment. The cam profile was defined by contouring of the contact points. And also a program was developed by using Microsoft Visual C++ program, which can quickly and easily draw a 2D cam profile through the displacement diagram. Finally, the program was used to confirm the accuracy on the breadth cam profile design by computer animation graphically.

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Analysis and synthesis of the displacement function of the follower in constant-breadth cam mechanisms

Cited by 21 publications

References 10 publications

Parameter selection in the design of displacement and motion functions by means of B-splines

Parameter selection in the design of displacement and motion functions by means of B-splines

Minimization of the sliding velocity in planar cam mechanisms with flat-faced translating followers

Kinematical system of breadth cam profile design

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