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Research Papers

A Function Generation Synthesis Methodology for All Defect-Free Slider-Crank Solutions for Four Precision Points

[+] Author and Article Information
Ali Almandeel

Department of Mechanical
and Aerospace Engineering,
University of Dayton,
Dayton, OH 45469
e-mail: mandeel@gmail.com

Andrew P. Murray, David H. Myszka

Department of Mechanical
and Aerospace Engineering,
University of Dayton,
Dayton, OH 45469

Herbert E. Stumph, III

Stress Engineering Services, Inc.,
7030 Stress Engineering Way,
Mason, OH 45040

Manuscript received December 30, 2013; final manuscript received March 19, 2015; published online June 10, 2015. Assoc. Editor: Qiaode Jeffrey Ge.

J. Mechanisms Robotics 7(3), 031020 (Aug 01, 2015) (10 pages) Paper No: JMR-13-1261; doi: 10.1115/1.4030182 History: Received December 30, 2013; Revised March 19, 2015; Online June 10, 2015

The well-established methodology for slider-crank function generation states that five precision points can be achieved without structural error. The resulting designs, however, do not necessarily satisfy all of the kinematic requirements for designing a slider-crank linkage used in common machine applications such as driving the ram of a mechanical press. First, linkage solutions to the five precision point synthesis problem may need to change circuits to reach the precision points. Second, there is no guarantee that the input crank is fully rotatable. This paper presents a modification to the function generation synthesis methodology that reveals a continuum of defect-free, slider-crank solutions for four precision points. Additionally, the methodology allows the specification of velocity or acceleration at the precision points. Although smaller accelerations at a point of zero slide velocity are associated with longer dwell, a point having zero velocity and acceleration is shown not to be possible. Examples are included to illustrate this kinematic synthesis methodology.

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Copyright © 2015 by ASME
Topics: Linkages , Circuits
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References

Figures

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Fig. 1

A slider-crank mechanism with vector loop

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Fig. 2

Linkage solution for five precision points where the points reside on separate circuits

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Fig. 3

Five precision points lie on the same circuit branch, but the input link is unable to make a complete revolution

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Fig. 4

The motion curve and corresponding linkage for precision points of Table 1 and Δp5=-0.10

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Fig. 5

Motion curve and corresponding slider-crank linkage where BDC and TDC where specified in Table 2 and Δp3=2.50 is selected

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Fig. 6

Motion curve for slider-crank linkage from example where acceleration was specified at BDC

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Fig. 7

Motion curve for slider-crank linkage where acceleration was specified at BDC and range of viable TDC positions is determined

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