Construction of Functional Directed Network and Its Computerized Realization

doi:10.3901/JME.2017.21.128

Abstract

Abstract: Because of a lack of knowledge to support functional reasoning from functional requirements of kinematic compound mechanisms to their constituent basic mechanisms, the conceptual design of kinematic compound mechanisms based on functional synthesis approach is still a challenging task. With the aid of the stratified hierarchical theory, a functional decomposition model in quotient space is proposed. According to the requirements of granularity in the functional decomposition layer, and the close degrees to the purpose functional layer defined in the attribute function, based on fuzzy equivalence relation and the improved breadth-first algorithm, the optimum decomposition scheme of the purpose functional layer are configured. Through refining the decompose process step by step, the functional means tree corresponding to basic operation actions as the minimum functional units is obtained. Traversing all tree branches and leaf nodes in the functional means tree, the topology of the functional directed network is determined. In the quotient space model, the functional decomposition process does not rely on humans' experiments as well as knowledge in the database. Therefore it can be applied to solve the functional decomposition problem of conceptual design for kinematic compound mechanisms, and gives functional decomposition supports in exploring innovative compound mechanisms combined by a number of basic mechanisms ingeniously. Taking a powder tablet pressing mechanism as an example, the algorithm of the functional decomposition and the computerized realization to construct the functional directed network graph are given.

Key words: compound mechanisms, creative design, directed network, functional decomposition, quotient space

CLC Number:

TH112

LI Yutong, WANG Yuxin, MAO Xiaohui. Construction of Functional Directed Network and Its Computerized Realization[J]. Journal of Mechanical Engineering, 2017, 53(21): 128-135.

References

[1] 谢友柏. 论机械学. 中国机械工程[J]. 2001, 12(6):692-696. XIE Youbai. Discuss mechanics[J]. China Mechanical Engineering, 2001, 12(6):692-696.
[2] 高峰. 机构学研究现状与发展趋势的思考[J]. 机械工程学报, 2005, 41(8):3-17. GAO Feng. Reflection on the current status and development strategy of mechanism research[J]. Chinese Journal of Mechanical Engineering, 2005, 41(8):3-17.
[3] 杨廷力,刘安心,罗玉峰,等. 机器人机构结构综合方法的基本思想、特点及其发展趋势[J]. 机械工程学报, 2010, 46(9):1-11. YANG Tingli, LIU Anxin, LUO Yufeng, et al. Basic principles,main characteristics and development tendency of methods for robot mechanism structure synthesis[J]. Journal of Mechanical Engineering, 2010, 46(9):1-11.
[4] 邹慧君,张青,王学武. 组合机构的基本特征和设计方法[J]. 机械设计与研究, 2006, 22(1):16-19. ZHOU Huijun, ZHANG Qing, WANG Xuewu. Basic characteristics and design method of the composite mechanism[J]. Mechanical design and research, 2006, 22(1):16-19.
[5] PAHL G, BEITZ W. Engineering design:A systematic approach[M]. London:Springer-Verlag, 1996.
[6] CHAKRABARTI A, SHEA K, STONE R, et al. Computer-based design synthesis research:An overview[J]. Journal of Computing and Information Science in Engineering, 2011, 11(6):021003-1-10
[7] WOOD K L, GREER J. Function-based synthesis methods in engineering design:State-of-the-art, methods analysis, and visions for the future, Formal engineering design synthesis[M]. England, Cambridge:Cambridge University Press, 2001.
[8] WELCH R V, DIXON J R. Guiding conceptual design through behavioural reasoning[J]. Research in Engineering Design, 1994, 6(3):169-188.
[9] UJJWAL P, LIU Y C, CHAKRABARTI A. Evaluating FuncSION:A software for automated synthesis of design solutions for stimulating ideation during mechanical conceptual design[J]. Artificial Intelligence for Engineering Design, Analysis and Manufacturing, 2014, 28(3):209-226.
[10] UMEDA Y, KONDOH S, SHIMOMURA Y, et al. Development of design methodology for upgradable products based on function-behaviour-state modeling[J]. Artificial Intelligence for Engineering Design, Analysis, and Manufacturing, 2005, 19:161-182.
[11] STONE R B, WOOD K L. Development of a functional basis for design[J]. Journal of Mechanical Design, 2000, 122:359-370.
[12] FAR B H, ELAMY A H. Functional reasoning theories:Problems and perspectives[J]. Artificial Intelligence for Engineering Design, Analysis and Manufacturing, 2005, 19:75-88.
[13] EHUD K. Design theory and conceptual design:Contrasting functional decomposition and morphology with parameter analysis[J]. Research in Engineering Design, 2013, 24(2):165-183.
[14] BOLOGNINI F, SESHIA A, SHEA K. Exploring the application of multi-domain simulation-based computational synthesis methods in MEMS design[C]//Proceedings of the 16th International Conference on Engineering Design. Paris, France, 28-31, Aug. 2007. 2007:81-82.
[15] CHAKRABARTI A, BLIGH T P. A scheme for functional reasoning in conceptual design[J]. Design Studies, 2001, 22:493-517.
[16] CAMPBELL M I, CAGAN J, KOTOVSKY K. Agent-based synthesis of electromechanical design configurations[J]. Journal of Mechanical Design, 2000, 122:1-9.
[17] DENG Y M. Function and behaviour representation in conceptual mechanical design[J]. Artificial Intelligence for Engineering Design, Analysis and Manufacturing, 2002, 16:343-362.
[18] SCHMIDT L, CAGAN J. GGREADA:A graph grammar-based machine design algorithm[J]. Research in Engineering Design, 1997, 9(2):195-213.
[19] BRYANT C R, Mc ADAMS D A, STONE R B, et al. Validation study of an automated concept generator design tool[C]//Proceedings of the 2006 ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Philadelphia, New York, USA, ASME, 2006:10-13.
[20] 冯培恩,曾令斌,邱清盈,等. 机械功能对称的概念体系及其应用. 机械工程学报, 2012, 48(11):1-11. FENG Peien, ZENG Lingbin, QIU Qingying, et al. Research on mechanical function symmetry architecture and its application[J]. Chinese Journal of Mechanical Engineering, 2012, 48(11):1-11.
[21] 王玉新,张旭光,毛晓辉. FBS模型中行为与结构创新的商空间表达与实现[J]. 机械工程学报, 2010, 46(15):107-116. WANG Yuxin, ZHANG Xuguang, MAO Xiaohui. Implementation and quotient representation of creativity in functional layer and form layer of the function-behavior-structure model[J]. Journal of Mechanical Engineering, 2010, 46(15):107-116.
[22] 王玉新,毛晓辉. 功能-结构双向创新商空间模型关键技术研究[J]. 浙江大学学报, 2010, 44(9):1643-1653. WANG Yuxin, MAO Xiaohui. Key techniques in function-form bidirectional creativity quotient space model[J]. Journal of Zhejiang University, 2010, 44(9):1643-1653.
[23] LI Y T, WANG Y X, DUFFY A H. Computer-based creativity enhanced conceptual design model for non-routine design of mechanical systems[J]. Chinese Journal of Mechanical Engineering, 2014, 27(6):1083-1098.
[24] 王玉新. 复杂机械系统快速创新设计[M]. 北京:科学出版社, 2006. WANG Yuxin. Rapid creative design for complex mechanical systems[M]. Beijing:Science Press, 2006.
[25] ZHANG L, ZHANG B. A quotient space approximation model of multi-resolution signal analysis[J]. Journal Computer Science and Technology, 2005, 20(1):90-94.
[26] 梁庆华,郭为忠,莫锦秋,等. 行为结构变型方法研究[J]. 机械工程学报, 2004, 40(1):43-49. LIANG Qinghua, GUO Weizhong, MO Jinqiu, et al. Approach to create and search the optimum behavior structure[J]. Chinese Journal of Mechanical Engineering, 2004, 40(1):43-49.