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3/2025 vol. 30
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ORIGINAL PAPER
The use of Burmester Curves in combination with the Least Square method in the design of the Stephenson-I type mechanism
Bujar Pira 1
,
 
Labinot Topilla 1
 
 
 
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1
Faculty of Engineering and Informatics, University of Applied Sciences in Ferizaj, Kosovo
 
These authors had equal contribution to this work
 
 
Submission date: 2024-12-22
 
 
Final revision date: 2025-04-17
 
 
Acceptance date: 2025-06-14
 
 
Online publication date: 2025-09-02
 
 
Publication date: 2025-09-02
 
 
Corresponding author
Labinot Topilla   

Faculty of Engineering and Informatics, University of Applied Sciences in Ferizaj, Rr. Universiteti, 70000, Ferizaj, Kosovo
 
 
International Journal of Applied Mechanics and Engineering 2025;30(3):114-127
DOI: https://doi.org/10.59441/ijame/207141
 
 
Article (PDF)
References (16)
 
KEYWORDS
Design
Mechanism
Least Square
Burmester
Six-Bar
 
TOPICS
mechanics of structures
mechatronics
 
ABSTRACT
This paper provides a brief description of an approach that utilizes Burmester curves in designing six-bar mechanisms that prescribe five precision points. This approach combines the Freudenstein method and the Least Square method with Burmester theory. With this paper, we demonstrate the application of this combined approach in designing Stephenson I type six-bar planar mechanisms that prescribe five positions, using a specific case study. The results show that there is a means of combining the three methods in the design of the six-bar mechanism of Stephenson I type and generating the fixed and moving points of the six-bar where the structural error (the difference between the desired output angle and the generated angle) is minimized.
REFERENCES (16)
1.
Chan Y. (1994): Some Case Studies in Mechanism Design.– MSc Thesis, London, Department of Mechanical Engineering, Imperial College.
Google Scholar
 
 
2.
Tsai L.-W. (2001): Mechanism Design: Enumeration of Kinematic Structures According to Function.– 1st ed., CRC Press.
Google Scholar
 
 
3.
Shen Q., Lee W.-T., Russell K. and Sodhi R.S. (2008): On motion generation of Watt I mechanisms for mechanical finger design.– Trans, CSME, vol.32, No.3-4, pp.411-421.
Google Scholar
 
 
4.
Choi J., Lee S. and Choi D. (1998): Sochastic linkage modeling for mechanical error analysis of planar mechanisms.– Mechanics of Structures and Machine, vol.26, No.3, pp.257-276. https://doi.org/10.1080/089054....
CrossRef
 
Google Scholar
 
 
5.
Zhou H. (2009): Synthesis of adjustable function generation linkages using the optimal pivot adjustment.– Mechanism and Machine Theory, vol.44, No.5, pp.983-990. https://doi.org/10.1016/j.mech....
CrossRef
 
Google Scholar
 
 
6.
Jha A.S. and Verma M. (2018): Error reduction in data prediction using least square regression.– International Research Journal of Engineering and Technology, vol.5, No.12, pp.703-706.
Google Scholar
 
 
7.
Bai S., Wang D. and Dong H. (2016): A unified formulation for dimensional synthesis of Stephenson linkages.– Journal of Mechanisms and Robotics, vol.8/041009-1, https://doi.org/10.1115/1.4032....
CrossRef
 
Google Scholar
 
 
8.
Sandor G. and Erdman A. (1984): Advanced Mechanism Design: Analysis and Synthesis.– 2nd ed., Pearson.
Google Scholar
 
 
9.
Noussas D. (1996): Case Studies in Mechanism Design.– Msc thesis, London, Department of Mechanical Engineering, Imperial College.
Google Scholar
 
 
10.
Pira B. (1999): The use of Burmester Curves in Design of Planar Mechanisms.– London: Department of Mechanical Engineering, Imperial College.
Google Scholar
 
 
11.
Pira B., Bajraktari A., Cunaku I. and Ymeri M. (2011): Synthesis of mechanisms with more than four bars using Burmester theory.– Vienna, Annals of DAAAM for 2011 & Proceedings of the 22nd International DAAAM Symposium, vol.22, No.1, ISSN 1726-9679.
Google Scholar
 
 
12.
Hall A.S.J. (1961): Kinematics and Linkage Design.– 1st ed., Prentice Hall.
Google Scholar
 
 
13.
Plecnik M.M. (2015). The Kinematic Design of Six-bar Linkages Using Polynomial Homotopy Continuation.– UC Irvine, retrieved from https://escholarship.org/uc/it....
Google Scholar
 
 
14.
Pira B., Buza K., Gojani I., Pajaziti A., Anxhaku A. (2006): Design of Stephenson-I Type of six-bar mechanism using Burmester curves and inversion method.– Barcelona, Trends in the Development of Machinery and Associated Technology.
Google Scholar
 
 
15.
Freudenstein F. (1954) Design of Four-link Mechanisms.– Ph. D. Thesis, Columbia University, USA.
Google Scholar
 
 
16.
Mehar K., Singh S. and Mehar R. (2015): Optimal synthesis of four-bar mechanism for function generation with five accuracy points.– Inverse Problems in Science and Engineering, vol.23, No.7, pp.1222-1236.
Google Scholar
 
 
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