A Closed-Form Solution to the Crank Position Corresponding to the Maximum Velocity of the Slider in a Centric Slider-Crank Mechanism

[+] Author and Article Information
W. J. Zhang1

Department of Mechanical Engineering, University of Saskatchewan, Saskatoon, SK S7N 5A9 Canadachris.zhang@usask.ca

Q. Li

 School of Mechanical and Production Engineering, Nanyang Technological University, Singapore 639798mqli@ntu.edu.sg


Corresponding author.

J. Mech. Des 128(3), 654-656 (Aug 18, 2005) (3 pages) doi:10.1115/1.2181997 History: Received August 17, 2004; Revised August 18, 2005

This paper revisits a classical problem in kinematics, specifically determination of the crank position corresponding to the maximum velocity of the slider in the centric slider-crank mechanism. This position is often critical in designing products constructed using the slider-crank mechanism, e.g., industrial sewing machinery, rotary engine systems, etc. In current literature, the numerical, graphical, or approximate closed-form solution to this problem is available. In this paper, an exact closed-form solution is derived. With this new closed-form solution, it is found that there exist significant errors in an approximate closed-form solution which can be found from many machine design text books for a practica1 use.

Copyright © 2006 by American Society of Mechanical Engineers
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Figure 5

Comparative results

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Figure 4

Velocity analysis

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Figure 3

Virtual addition of a dyad on a centric slider-crank mechanism

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Figure 2

Instantaneous center of the velocity

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Figure 1

Kinematic schematic diagram of a centric slider-crank mechanism



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