Fractional polynomial mod traps for optimization of jerk and hertzian contact stress in cam surface

Acharyya, S. K.; Naskar, Tarun Kanti

doi:10.1016/j.compstruc.2007.01.045

Cited by 27 publications

(14 citation statements)

References 4 publications

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“…Once A and B are chosen there is a minimum magnitude of jerk needed to achieve the acceleration goals.If the jerk is less than the minimum, either p or q is negative, giving a solution in which either A or B will no longer be that specified by the designer. The condition for minimum jerk is determined by setting p and q equal to zero in equations (8) and (9), respectively, then solving for n. Of these two n-values, the smallest ensures that both p and q are nonnegative. Using this in the first of equation (3) and solving for J provides the minimum required jerk.…”

Section: Referring To Figure 4 Equation (4) Results Inmentioning

confidence: 99%

“…The classical profiles operate at fixed levels of acceleration and jerk and are therefore represented as points on the graph. Using equations (3), (8) to (10), and R ¼ A/B in equation (2), one can show that the rise time, T r , for the minimum time profile is a function of R and the normalized jerk. The result is…”

Section: Comparison With Classical Multiple-dwell Acceleration Profilesmentioning

confidence: 99%

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Minimizing the cycle time in multiple-dwell cams

Flocker

Bravo

2012

Proceedings of the Institution of Mechanical Engineers, Part C:

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Presented in this article are closed-form kinematic equations that give the minimum cycle time for multiple-dwell camfollower systems subject to acceleration and jerk constraints set by the user. Cam-driven machines are used extensively in manufacturing because of their low cost, great precision and high production rates when compared with alternatives. Since they are frequently used in mass production operations, there is a need for minimizing their cycle time to increase manufacturing throughput and reduce capital costs for machines and facilities. Their widespread use means that there is the potential for significant improvement in overall manufacturing efficiency. The incorporation of acceleration and jerk limits in the kinematic formulation ensures minimal cycle time without compromising the operational limits of the manufacturing machines. The equations are given in a form suitable for spreadsheet or equation-solver programs, making it easy for the cam designer to generate an arbitrary number of data points for cam manufacturing. Multipledwell cams are particularly well suited for manufacturing operations; therefore, the intended audience of this paper is cam designers in the manufacturing sector.

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Section: Referring To Figure 4 Equation (4) Results Inmentioning

confidence: 99%

Section: Comparison With Classical Multiple-dwell Acceleration Profilesmentioning

confidence: 99%

Minimizing the cycle time in multiple-dwell cams

Flocker

Bravo

2012

Proceedings of the Institution of Mechanical Engineers, Part C:

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show abstract

“…For a cam-follower system, its basic dynamic characteristics are closely related to the geometry of cam curve because the velocity, acceleration, and jerk of the follower and interacting forces between the cam and the follower all vary with the variation of the cam curve. [4][5][6][7][8][9] Therefore, the shape of the transition curves of the inner chamber surface (similar to the cam) affects the impact, penetration, friction, and wear of the slides (similar to the follower) and chamber assembly. And a reasonable analysis upon the transition curve dynamics should be a basic content for designing of PCMP.…”

Section: Introductionmentioning

confidence: 99%

“…Polynomial functions with different orders have been widely employed in the profile design. 4,18,19 But many other curve types are also adopted, like trigonometric curve, [20][21][22] trapezoidal curve, 23 and spline curve. 11 The present work made contributions in two aspects.…”

Section: Introductionmentioning

confidence: 99%

Design and optimization of the transition curve in the novel profiled chamber metering pump

Liu

Ding

Wang

2020

Proceedings of the Institution of Mechanical Engineers, Part K:

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To better understand the optimization of the stator profile to improve the dynamic performance of a novel profiled chamber metering pump, this paper presents a dynamic analysis method for transition curve design and optimization of the profiled chamber. The face-shaped curve of the inner chamber of the stator is formed of two quarter circular arcs and two quarter noncircular arcs, and the two quarter noncircular arcs are defined as transition curves, which directly affect the mechanical vibration, friction, and wear of the profiled chamber metering pump. The proposed design and optimization method combine a friction analysis with the motion control of the moving parts. The approach based on a new strategy mainly includes three steps. For the first step, based on motion analysis, the trigonometric function and polynomial function are adopted to derive the candidate transition curves that have different order of continuity. Secondly, a friction model between the slides and the stator is established, by means of kinematic and force analysis of the slides. Then, the model is used to examine the friction dissipated energy for different candidate transition curves. Finally, through a comparison analysis of motion parameters and energy losses, comprehensive optimal transition curves are obtained. This three-step analytical work is proved to be efficient in the design of the transition curves.

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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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Fractional polynomial mod traps for optimization of jerk and hertzian contact stress in cam surface

Cited by 27 publications

References 4 publications

Minimizing the cycle time in multiple-dwell cams

Minimizing the cycle time in multiple-dwell cams

Design and optimization of the transition curve in the novel profiled chamber metering pump

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

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