Dimensional Synthesis of Four-Bar Mechanisms for the Generation of Rectilinear Motion Through Analytical and Graphical Programming and Optimization of the Straight Trajectory of the Coupling Point
Dimensional Synthesis of Four-Bar Mechanisms for the Generation of Rectilinear Motion Through Analytical and Graphical Programming and Optimization of the Straight Trajectory of the Coupling Point |
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| © 2024 by IJETT Journal | ||
| Volume-72 Issue-2 |
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| Year of Publication : 2024 | ||
| Author : BODIE NGUEMIENGO Abdel Axis, NGAYIHI ABBE Claude Valery, KOM Charles Hubert |
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| DOI : 10.14445/22315381/IJETT-V72I2P126 | ||
How to Cite?
BODIE NGUEMIENGO Abdel Axis, NGAYIHI ABBE Claude Valery, KOM Charles Hubert, "Dimensional Synthesis of Four-Bar Mechanisms for the Generation of Rectilinear Motion Through Analytical and Graphical Programming and Optimization of the Straight Trajectory of the Coupling Point," International Journal of Engineering Trends and Technology, vol. 72, no. 2, pp. 254-266, 2024. Crossref, https://doi.org/10.14445/22315381/IJETT-V72I2P126
Abstract
This article deals with the dimensional synthesis of four-bar mechanisms for the generation of rectilinear motion through analytical and graphical programming and optimization of the straight trajectory of the coupling point. The work carried out to date on synthesizing four-bar mechanisms enables the objective function to be optimized, but the trajectory of the coupling point is always curvilinear when the mechanism is in motion. This work presents a method for generating a rectilinear motion of the coupling point by finding the interval in which the crank input angle must vary to obtain reciprocating rectilinear motion. The advantage of this method is that it is precise, given that it considers the global programming of all the blocks that define the various equations and relationships between angles and distances existing in the four-bar mechanism. Convergence is rapid, as we have verified with five precision points, which verify the equation of a straight line, with the coupling point whose coordinates verify the equations of a straight line to obtain rectilinear motion. Analytical and graphical programming allows us to treat the problem by subdividing it into function program blocks and highlighting their interactions. Trajectory optimization is achieved by forcing the coupling point to pass only on a straight line, thus obtaining rectilinear motion instead of a curvilinear curve, as encountered in the literature.
Keywords
Analytical synthesis, Four-bar mechanisms, Graphical programming, Rectilinear motion generation, Straight path optimization.
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