The use of Burmester Curves in combination with the Least Square method in the design of the Stephenson-I type mechanism

• Autorzy: Pira B. , Topilla L.

Identyfikatory

DOI

10.59441/ijame/207141

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Burmester; mechanism; design; least square; six-bar

PL

mechanizm; projektowanie maszyn; mechanika konstrukcji

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2025
• Tom: Vol. 30, no. 3
• Strony: 114--127
• Opis fizyczny: Bibliogr. 16 poz., tab., wykr.

Twórcy

autor

Pira B.

• Faculty of Engineering and Informatics, University of Applied Sciences in Ferizaj, KOSOVO

• https://orcid.org/0000-0001-7889-7805

autor

Topilla L.

• Faculty of Engineering and Informatics, University of Applied Sciences in Ferizaj, KOSOVO

• https://orcid.org/0000-0003-2760-0834

Bibliografia

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• [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.
• [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/10.1080/08905459708945494.
• [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.mechmachtheory.2008.05.016.
• [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.
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• [9] Noussas D. (1996): Case Studies in Mechanism Design.– Msc thesis, London, Department of Mechanical Engineering, Imperial College.
• [10] Pira B. (1999): The use of Burmester Curves in Design of Planar Mechanisms.– London: Department of Mechanical Engineering, Imperial College.
• [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.
• [12] Hall A.S.J. (1961): Kinematics and Linkage Design.– 1st ed., Prentice Hall.
• [13] Plecnik M.M. (2015). The Kinematic Design of Six-bar Linkages Using Polynomial Homotopy Continuation.– UC Irvine, retrieved from https://escholarship.org/uc/item/3sb8s541.
• [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.
• [15] Freudenstein F. (1954) Design of Four-link Mechanisms.– Ph. D. Thesis, Columbia University, USA.
• [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.

Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025)