A universal optimal approach to cam curve design and its applications

Qiu, Hua; Lin, Chang-jun; Li, Ziye; Ozaki, Hiroaki; Wang, Jian; Yue, Yong

doi:10.1016/j.mechmachtheory.2004.12.005

Cited by 81 publications

(62 citation statements)

References 25 publications

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“…2 If the knot sequence is increasing, but not strictly increasing (that is, coincident knots are present), the continuity condition (2) has to be relaxed. (i) Simplifying spline optimization by providing a set of fixed candidate knots and only optimizing spline coefficients is not a new idea [4,[7][8][9][10][11]13]. Contrary to our approach, however, the number of knots was previously always kept limited (generally 5-20, as opposed to a few hundreds or thousands here), even if the effect of increasing the number of knots was investigated [7,9,11].…”

Section: Contributionsmentioning

confidence: 97%

“…(iii) While nonlinear (but convex) extensions are required for the framework to reproduce the results [10,13], the original linear programming framework suffices to reproduce the results [11] (kinematic optimization example) and [7].…”

Section: Md-08-1165mentioning

confidence: 99%

“…Qiu et al [11], on the other hand, minimized the peak acceleration of a quintic (k = 5) spline subject to boundary constraints and upper limits on peak velocity and peak absolute jerk. While, as shown in the companion paper [15], this problem can be reformulated as an LP, Qiu et al solved it as a general nonlinear program.…”

Section: Md-08-1165mentioning

confidence: 99%

“…(iv) All aforementioned studies [7,8,10,13] and [11] (kinematic optimization example) are methods to optimize purely kinematic properties of a spline with prescribed knots. The basic framework of Secs.…”

Section: Md-08-1165mentioning

confidence: 99%

See 3 more Smart Citations

Optimal Splines for Rigid Motion Systems: A Convex Programming Framework

Demeulenaere

Pipeleers

Caigny

et al. 2009

Journal of Mechanical Design

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This paper develops a general framework to synthesize optimal polynomial splines for rigid motion systems driven by cams or servomotors. This framework is based on numerical optimization and has three main characteristics: (i) spline knot locations are optimized through an indirect approach based on providing a large number of fixed, uniformly distributed candidate knots; (ii) in order to efficiently solve the corresponding large-scale optimization problem to global optimality, only design objectives and constraints are allowed that result in convex programs and (iii) one-norm regularization is used as an effective tool for selecting the better (that is, having fewer active knots) solution if many equally optimal solutions exist. The framework is developed and validated based on a double dwell benchmark problem for which an analytical solution exists.

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Section: Contributionsmentioning

confidence: 97%

Section: Md-08-1165mentioning

confidence: 99%

Section: Md-08-1165mentioning

confidence: 99%

Section: Md-08-1165mentioning

confidence: 99%

See 2 more Smart Citations

Optimal Splines for Rigid Motion Systems: A Convex Programming Framework

Demeulenaere

Pipeleers

Caigny

et al. 2009

Journal of Mechanical Design

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“…Up to now, a number of works dealing with finding the way to describe accurately these surfaces have been proposed. Mostly, researchers derived mathematically expressions for the surface geometry of the globoidal cam based on coordinate transformation, differential geometry, and theory of conjugate surfaces [2][3][4][5][6]. In that way, it is so complex to infer the equations requiring designers to have solid mathematical knowledge.…”

Section: Introductionmentioning

confidence: 99%

Model and Simulation of Globoidal Cam Mechanisms with Oscillating and Dual Stopping Followers

2017

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Abstract. Globoidal cam mechanisms with oscillating and dual stopping followers are necessary to accomplish the rise-dwell-fall-dwell periodic motion.The trajectory surface of roller axis of oscillating globoidal cam mechanism is the offset surface of working surface of the cam, and its mathematical model is relatively simple. According to the spatial geometric relationship, the coordinate equation of trajectory surface of roller axis is derived and the original angle positions for dual stopping followers are analyzed. As a result, the three-dimension (3D) model of globoidal cam mechanism with oscillating and dual stopping followers is generated based on the offset surface method based on the UG software. Finally, the dynamic model is realized using Adams software, and through the dynamic simulation, the oscillating angle displacement, angular velocity and angular acceleration of the double-stop swinging cam mechanism are studied. According to the simulation results, it can be concluded that the input speed of globoidal cam mechanism is an important factor that affects the output performance of the mechanism. Through the above research, it can provide some reference for the design of spatial cam mechanism.

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Motion Programs with Better Characteristic Values

Hsu

Chung

2019

Advances in Mechanism and Machine Science

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A universal optimal approach to cam curve design and its applications

Cited by 81 publications

References 25 publications

Optimal Splines for Rigid Motion Systems: A Convex Programming Framework

Optimal Splines for Rigid Motion Systems: A Convex Programming Framework

Model and Simulation of Globoidal Cam Mechanisms with Oscillating and Dual Stopping Followers

Motion Programs with Better Characteristic Values

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