SYNTHESIS OF KINEMATIC CHAINS: REPRESENTATION GRAPHS, STRUCTURAL REPRESENTATION AND SCHEMATIC FUNCTIONAL.
DOI:
https://doi.org/10.26507/rei.v17n33.1184Keywords:
síntesis, mecanismos, diseño, Lung-Wen Tsai, teoría de grafos, matemática discretaAbstract
Abstract—Introduction: The applied sciences, and the applied arts study mechanism design at different levels of complexity. Progress has been made in the academic literature methodologically, one of these design orientations is the synthesis of mechanisms, which allows progress in a systematic design process. Problem: there is a lack of a text in Spanish that presents the methods of synthesis of mechanisms for the design. There are texts which cover the subject too extensively to be quickly presented to a trainees. Objective: to translate reliably and succinctly the types of synthesis compiled by Professor Tsai, and to present them in an article that also cites developments in the subject subsequent to Tsai's seminal publication. Methodology: textual exegesis and documentary analysis are used to construct a complete and systematic proposal. Results: an article that contains processes for synthesis of mechanisms necessary for the design, succinct, complete and with updated references. Conclusion: the methods of synthesis of mechanisms are intuitively applicable and do not require training or prior preparation to apply it. This document is sufficient to make it easier for training professionals to apply the synthesis of mechanisms. Originality: although the document is a translation, the article responds to an epistemological need in the aforementioned areas of knowledge, with allusions to updated publications. limitations: the synthesis of mechanisms is useful for design, there are other different mental processes that are not discussed here.
Downloads
References
F. Buchsbaum and F. Freudenstein, “Synthesis of Kinematic Structure of Geared Kinematic Chains and other Mechanisms”, Journal of Mechanisms, vol. 5, p. 357–392, 1970.
S. J. Chiou and K. Sridhar, “Automated conceptual design of mechanisms”, Mechanism and Machine Theory, vol. 34, no. (3), pp. 467-495, 1999 .
I. Ullah and S. Kota, “Optimal synthesis of mechanisms for path generation using fourier descriptors and global search methods”, Journal of Mechanical Design, Transactions of the ASME 119(4),, pp. 504-510, 1997.
A. Erdman and J. Bowen, “Type and Dimensional Synthesis of Casement Window Mechanism”, ASME Mechanical Engineering , vol. 103 , p. 46–55, 1981 .
D. Whitney, R. Mantripragada, J. Adams and S. Rhee, “Designing assemblies”, Research in Engineering Design - Theory, Applications, and Concurrent Engineering , vol. 11, no. (4), pp. 229-253, 1999 .
H. Yan and J. Chen, “Creative Design of a Wheel Damping Mechanism”, Mechanism and Machine Theory , vol. 20 , no. 6 , p. 597–600, 1985 .
B. Jensen and L. Howell, “The modeling of cross-axis flexural pivots,” Mechanism and Machine Theory , vol. 37, no. (5), pp. 461-476, 2002 .
M. Raghavan and B. Roth, “Solwing polynomial systems for the kinematic analysis and synthesis of mechanisms and robot manipulators”, Journal of Vibration and Acoustics, Transactions of the ASME, vol. 117, pp. 71-79, 1995.
L.-W. Tsai, Mechanism design : enumeration of kinematic structures according to function, Boca Raton: CRC Press, 2000.
L. Schmidt, H. Shetty and S. Chase, “A graph grammar approach for structure synthesis of mechanisms”, Journal of Mechanical Design, Transactions of the ASME 122(4), pp. 371-376, 2000 .
J. Tomáš, “The synthesis of mechanisms as a nonlinear programming problem,” Journal of Mechanisms 3(3), pp. 119-130, 1968.
B. Roth and A. Yang, “Application of instantaneous inwariants to the analysis and synthesis of mechanisms,” Journal of Manufacturing Science and Engineering, Transactions of the ASME 99(1), pp. 97-103, 1977 .
J. Cabrera, A. Simon and M. Prado, “Optimal synthesis of mechanisms with genetic algorithms”, Mechanism and Machine Theory 37(10), pp. 1165-1177, 2002.
S. Balli and S. Chand, “Transmission angle in mechanisms (Triangle in mech),” Mechanism and Machine Theory 37(2), pp. 175-195, 2002.
R. Bulatović, S. Dordević and V. Dordević, “Cuckoo Search algorithm: A metaheuristic approach to solving the problem of optimum synthesis of a six-bar double dwell linkage,” Mechanism and Machine Theory 61, pp. 1-13, 2013.
S. Kirmse, L. Campanile and A. Hasse, “Synthesis of compliant mechanisms with selective compliance – An advanced procedure,,” Mechanism and Machine Theory, Volume 157, pp. 1-17, 2021.
J. Norman-Paris, J. Archut, M. Hüsing and B. Corves, “Haptic simulation and synthesis of mechanisms”, Mechanism and Machine Theory, Volume 144., pp. 1-18, 2019.
G. Jia, H. Huang, S. Wang and B. Li, “Type synthesis of plane-symmetric deployable grasping parallel mechanisms using constraint force parallelogram law”, Mechanism and Machine Theory, Volume 161, pp. 1-23, 2021.
K. Kuratowski, “Sur le Problème des Courbes Gauches en Topologie”, Fundamental Mathematics, 15, p. 271–283, 1930.
L. Woo, “Type Synthesis of Plane Linkages”, ASME Journal of Engineering for Industry, , Vols. Series B, no. 89, p. 159–172, 1967.
W. Sohn and F. Freudenstein, “An Application of Dual Graphs to the Automatic Generation of the Kinematic Structures of Mechanism,” ASME Journal of Mechanisms, Transmissions, and Automation in Design, vol. 108, no. 3, p. 392–398, 1986.
F. Freudenstein and A. Yang, “Kinematics and Statics of a Coupled Epicyclic Spur-Gear Train”, Mechanisms and Machine Theory, vol. 7, p. 263–275, 1972.
L. Tsai, “The Kinematics of Spatial Robotic Bevel-Gear Trains,” IEEE Journal of Robotics and Automation, vol. 4, no. 2, p. 150–156, 1988.
L. Tsai, D. Chen and T. Lin, “Dynamic Analysis of Geared Robotic Mechanisms Using Graph Theory”, ASME Journal of Mechanical Design , vol. 120 , no. 2 , p. 240–244, 1998 .
G. Chatterjee and L. Tsai, “Enumeration of Epicyclic-Type Automatic Transmission Gear Trains, SAE 1994 Trans.”, Journal of Passenger Cars , vol. Sec. 6 , no. 103 , p. 1415–1426, 1994 .
F. Freudenstein and E. Maki, “Creation of Mechanisms According to Kinematic Structure and Function,” Journal of Environmental and Planning , vol. B , no. 6 , p. 375–391, 1979 .
C. Lin and L. Tsai, “The Development of an Atlas of Bevel-Gear Type Spherical Wrist Mechanisms,,” in in Proceedings of the First National Conference on Applied Mechanisms and Robotics, , Cincinnati, OH, Paper No. 89- AMR-2A-3, 1989 .
W. Sohn, A Computer-Aided Approach to the Creative Design of Mechanisms, Ph.D. Dissertation,, New York, NY.: Dept. of Mechanical Engineering, Columbia University, 1987.
L. Tsai, “An Application of the Linkage Characteristic Polynomial to the Topological Synthesis of Epicyclic Gear Trains,” ASME Journal of Mechanisms, Transmissions, and Automation in Design , vol. 109, no. 3, p. 329–336, 1987.
W. Fang and F. Freudenstein, “The Stratified Representation of Mechanisms,” in Proceedings of the ASME Mechanisms Conference: Trends and Developments in Mechanisms, Machines, and Robotics, Cambridge, MA, 1, 115–124., 1988 .
M. Mayourian and F. Freudenstein, “The Development of an Atlas of the Kinematic Structures of Mechanisms,” in Proceedings of the ASME Mechanisms Conference, Cambridge, MA, Paper No. 84-DET-21, 1984.
G. Chatterjee and L. Tsai, “Computer Aided Sketching of Epicyclic-Type Automatic Transmission Gear Trains”, ASME Journal of Mechanical Design , vol. 118, no. 3, p. 405–411, 1996.
F. Freudenstein and L. Dobrjanskyj, “On a Theory for the Type Synthesis for Mechanisms,” in Proceedings of the 11th International Congress of Applied Mechanics, 1965.
T. Yang and F. Yao, “Topological Characteristics and Automatic Generation of Structural Synthesis of Planar Mechanisms Based on the Ordered Single-Opened-Chains’’, Mechanism Synthesis and Analysis, DE, vol. 70, p. 67–74, 1994.
Downloads
Published
How to Cite
Issue
Section
License
Total or partial reproduction of the documents published in the journal is authorized only when the source and author are cited.
| Article metrics | |
|---|---|
| Abstract views | |
| Galley vies | |
| PDF Views | |
| HTML views | |
| Other views | |
