Conceptual synthesis of mechanisms based on qualitative reasoning
DOI:
https://doi.org/10.61467/2007.1558.2026.v17i2.1208Keywords:
Qualitative reasoning, conceptual design, function-structure-behavior;, envisionment, ratchetAbstract
This paper presents an innovative method for qualitative reasoning in the conceptual synthesis of mechanisms, leveraging AI-derived knowledge-based principles. The methodology allows for discretizing a mechanism's overall behavior without computational implementation. Relative motion between components, represented as qualitative states, is captured in a qualitative motion vector. These vectors form a general movement matrix that characterizes the mechanism's behavior, providing insights into component functions, movements, and transitions. By using ratchets as restriction functions, underlying behaviors are isolated from the matrix. These behaviors are used to generate conceptual designs for new mechanisms fulfilling specific kinematic functions. A case study is presented: synthesizing a mechanism that converts oscillatory rotation into unidirectional rotation using a differential gear train. The qualitative behavior of the resulting design is visualized in a vector diagram and compared with a CAD simulation. This method provides a knowledge base for training AI models in conceptual synthesis without needing specialized software.
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References
Chakrabarti, A., & Bligh, T. P. (1994). An approach to functional synthesis of solutions in mechanical conceptual design. Part I: Introduction and knowledge representation. Research in Engineering Design, 6(3), 127–141. https://doi.org/10.1007/BF01607275
Chakrabarti, A., & Bligh, T. P. (1996a). An approach to functional synthesis of solutions in mechanical conceptual design. Part II: Kind synthesis. Research in Engineering Design, 8(1), 52–62. https://doi.org/10.1007/BF01616556
Chakrabarti, A., & Bligh, T. P. (1996b). An approach to functional synthesis of solutions in mechanical conceptual design. Part III: Spatial configuration. Research in Engineering Design, 8(2), 116–124. https://doi.org/10.1007/BF01607865
Chakrabarti, A., & Bligh, T. P. (2001). A scheme for functional reasoning in conceptual design. Design Studies, 22(6), 493–517. https://doi.org/10.1016/S0142-694X(01)00008-4
Chiou, S.-J. (1994). Conceptual design of mechanisms using kinematic building blocks: A computational approach (Doctoral dissertation, University of Michigan).
Chiou, S.-J., & Sridhar, K. (1999). Automated conceptual design of mechanisms. Mechanism and Machine Theory, 34(3), 467–495. https://doi.org/10.1016/S0094-114X(98)00037-8
D’Amelio, V., Chmarra, M. K., & Tomiyama, T. (2013). A method to reduce ambiguities of qualitative reasoning for conceptual design applications. AIEDAM, 27(1), 19–35. https://doi.org/10.1017/S0890060412000364
De Kleer, J., & Brown, J. S. (1984). A qualitative physics based on confluences. Artificial Intelligence, 24(1–3), 7–83. https://doi.org/10.1016/0004-3702(84)90037-7
Faltings, B. (1988). The use of metric diagrams in qualitative kinematics. In Proceedings of the Second Workshop on Qualitative Physics.
Faltings, B. (1990). Qualitative kinematics in mechanisms. Artificial Intelligence, 44(1–2), 89–119. https://doi.org/10.1016/0004-3702(90)90099-L
Faltings, B. (1992). A symbolic approach to qualitative kinematics. Artificial Intelligence, 56(2–3), 139–170. https://doi.org/10.1016/0004-3702(92)90025-S
Faltings, B., & Sun, K. (1992). Causal inversion: Applying kinematic principles to mechanical design. In AAAI Fall Symposium Series (pp. 105–110).
Faltings, B., & Sun, K. (1993a). Computer-aided creative mechanism design. In Proceedings of the 13th International Joint Conference on Artificial Intelligence (IJCAI).
Faltings, B., & Sun, K. (1993b). Creative mechanism design based on first principles. In AAAI Spring Symposium (pp. 111–118).
Faltings, B., & Sun, K. (1996). FAMING: Supporting innovative mechanism shape design. Computer-Aided Design, 28(3), 207–216. https://doi.org/10.1016/0010-4485(95)00027-5
Feng, H., Shao, C., & Xu, Y. (2009). Using qualitative spatial reasoning in the conceptual design stage of a mechanical system. Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering, 223(2), 175–185. https://doi.org/10.1243/09596518JSCE624
Forbus, K. D. (1980). Spatial and qualitative aspects of reasoning about motion. In Proceedings of the First AAAI Conference (pp. 170–173).
Forbus, K. D. (1981). A study of qualitative and geometric knowledge in reasoning about motion (Doctoral dissertation, Massachusetts Institute of Technology).
Forbus, K. D. (1984). Qualitative process theory. Artificial Intelligence, 24(1–3), 85–168. https://doi.org/10.1016/0004-3702(84)90038-9
Forbus, K. D., Nielsen, P., & Faltings, B. (1991). Qualitative spatial reasoning: The CLOCK project. Artificial Intelligence, 51(1–3), 417–471. https://doi.org/10.1016/0004-3702(91)90116-2
Gero, J. S. (1990). Design prototypes: A knowledge representation schema for design. AI Magazine, 11(4), 26–36. https://doi.org/10.1609/aimag.v11i4.854
Grafstein, P., & Schwarz, O. B. (1971). Pictorial handbook of technical devices. Chemical Publishing Company.
Han, Y., & Lee, K. (2002). Using sign algebra for qualitative spatial reasoning about the configuration of mechanisms. Computer-Aided Design, 34(11), 835–848. https://doi.org/10.1016/S0010-4485(01)00151-8
Han, Y.-H., & Lee, K. (2006). A case-based framework for reuse of previous design concepts in conceptual synthesis of mechanisms. Computers in Industry, 57(4), 305–318. https://doi.org/10.1016/j.compind.2005.09.005
Hiscox, D. G. (2007). 1800 mechanical movements: Devices and appliances. Dover Publications.
Hoover, S. P., & Rinderle, J. R. (1989). A synthesis strategy for mechanical devices. Research in Engineering Design, 1(2), 87–103. https://doi.org/10.1007/BF01580203
Joskowicz, L. (1990). Shape and function in mechanical devices. In D. S. Weld & J. de Kleer (Eds.), Readings in qualitative reasoning about physical systems (pp. 575–579). Morgan Kaufmann.
Joskowicz, L., & Addanki, S. (1988). From kinematics to shape: An approach to innovative design. In Proceedings of the AAAI Conference on Artificial Intelligence.
Kim, C. J. (2005). A conceptual approach to the computational synthesis of compliant mechanisms (Doctoral dissertation, University of Michigan).
Kolokolnikov, I. (2011). Device for converting oscillatory motion into unidirectional rotational motion (U.S. Patent Application No. 13/058,980).
Kota, S., & Chiou, S.-J. (1992). Conceptual design of mechanisms based on computational synthesis and simulation of kinematic building blocks. Research in Engineering Design, 4(2), 75–87. https://doi.org/10.1007/BF01580146
Kramer, R. X., & Desmond, W. (2014). Drive mechanism and bicycle drive system (U.S. Patent Application No. 13/222,188).
Li, C. L., Tan, S. T., & Chan, K. W. (1996). A qualitative and heuristic approach to the conceptual design of mechanisms. Engineering Applications of Artificial Intelligence, 9(1), 17–32. https://doi.org/10.1016/0952-1976(95)00060-7
Moon, Y.-M., & Kota, S. (2002). Automated synthesis of mechanisms using dual-vector algebra. Mechanism and Machine Theory, 37(2), 143–166. https://doi.org/10.1016/S0094-114X(01)00073-8
Nielsen, P. (1990). A qualitative approach to mechanical constraint. In D. S. Weld & J. de Kleer (Eds.), Readings in qualitative reasoning about physical systems (pp. 592–596). Morgan Kaufmann.
Nielsen, P. E. (1988). A qualitative approach to rigid body mechanics (Doctoral dissertation, University of Illinois at Urbana-Champaign).
Nix, R. J. (1992). Mechanism for converting oscillatory rotation of input shaft to unidirectional rotation of output shaft (U.S. Patent Application No. 07/688,469).
Rinderle, J. (1987). Function and form relationships: A basis for preliminary design. Technical report / archive document. https://doi.org/10.1184/R1/6489860.v1
Rinderle, J., & Hoover, S. P. (1990). Function and form relationships: Strategies for preliminary design. Technical report. https://doi.org/10.1184/R1/6489863.v1
Sacks, E., & Joskowicz, L. (2010). The configuration space method for kinematic design of mechanisms. MIT Press. https://doi.org/10.7551/mitpress/7600.001.0001
Salueña, A. (2007). Traction system without dead center for pedal vehicles (Patent application).
Subramanian, D., & Wang, C.-S. (1995). Kinematic synthesis with configuration spaces. Research in Engineering Design, 7(3), 193–213. https://doi.org/10.1007/BF01638099
Takeda, H., Hamada, S., Tomiyama, T., & Yoshikawa, H. (1990). A cognitive approach to the analysis of design processes. In ASME Design Theory and Methodology Conference (Vol. 27, pp. 153–160).
Trave-Massuyes, L., Ironi, L., & Dague, P. (2003). Mathematical foundations of qualitative reasoning. AI Magazine, 24(4), 91–106. https://doi.org/10.1609/aimag.v24i4.1733
Weber, M. (2014). Reciprocating drive train (U.S. Patent Application No. 14/217,189).
Williams, B. C. (1990). MINIMA: A symbolic approach to qualitative algebraic reasoning. In D. S. Weld & J. de Kleer (Eds.), Readings in qualitative reasoning about physical systems (pp. 312–317). Morgan Kaufmann.
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