基于制造资源的公差可制造性评价及其成本模型研究
详细信息    本馆镜像全文|  推荐本文 |  |   获取CNKI官网全文
摘要
本文在分析国内外计算机辅助公差设计技术的发展历史和研究现状的基础上,结合国家自然科学基金项目“基于产品几何技术规范的集成公差设计理论与方法(50275136)”以及浙江省自然科学基金项目“基于稳健性和全过程成本的公差设计系统(500115)”和“面向CAPP的工序公差设计研究(502016)”,根据面向制造设计思想,开展了基于制造资源的公差可制造性评价及其成本模型的研究。
     第一章:介绍了计算机辅助公差设计(CAT)的发展历程与研究现状;综述了计算机辅助公差设计要解决的部分关键技术;提出了本文的研究内容和总体框架。
     第二章:分析了计算机辅助公差设计对制造资源的信息需求,研究了制造资源在计算机中表示的数据模型,并利用面向对象技术,建立了面向对象的制造资源信息模型,构建了制造资源数据库。
     第三章:分析了公差可制造性的含义,从制造装备约束、工艺装备约束、工艺技术约束和人力资源约束四个方面对公差可制造性的技术性评价指标进行了研究,提出了公差可制造性评价方法。
     第四章:在分析现有的加工成本-公差模型的基础上,建立了加工成本-公差模型数据库。提出了基于模糊神经网络的面向制造资源环境的加工成本-公差模型。
     第五章:利用稳健设计思想,分析了影响成本及其稳健性的关键因素;在此基础上提出了一种公差-成本稳健性分析方法,并进行了实例验证。
     第六章:在SolidWorks 2003平台上开发了基于制造资源的计算机辅助公差可制造性评价原型系统,并对其功能作了介绍。
     第七章:总结了本文的主要研究内容,对计算机辅助公差设计应该进一步开展的工作进行了探讨与展望。
On the basis of comprehensive analysis for recent research status of computer-aided tolerancing, binding projects supported by National Natural Science Foundation of China (50275136) and Natural Science Foundation of Zhejiang (500115, 502016), the methods of manufacturability evaluation of tolerance and the cost-tolerance models based on manufacturing resources are studied.
    In chapter 1, the important role of computer-aided tolerancing in modern manufacture and research status on key theories and technologies of the region are summarized. The main contents and general structure scheme of this dissertation are given.
    In chapter 2, information model of manufacturing resources is studied. The object-oriented database of manufacturing resources is established. The database can supply the information that is needed in tolerance design.
    In chapter 3, the contents of the manufacturability evaluation of tolerance is analyzed, for example: the restriction of manufacturing equipments, the restriction of processing equipments, the restriction of processing technology and the restriction of labor resources. A useful manufacturability evaluation method of tolerance is presented.
    In chapter 4, existing cost-tolerance models are analyzed. A new cost-tolerance model, which closely links with real technological process, is built using fuzzy neural networks.
    In chapter 5, the key factors that influence the tolerance cost and its robustness are analyzed. A method of analyzing the robustness of the tolerance cost is presented. An example is studied to illustrate the method at last.
    In chapter 6, a prototype system of tolerance manufacturability evaluation based on manufacturing resources is presented on SolidWorks.
    In chapter 7, the important results and conclusions of the dissertation are summarized and the future research on compute-aided tolerancing is prospected.
引文
[1] 张根保.计算机辅助公差设计及其关键技术.全国首届计算机辅助公差设计专题学术会议论文集.杭州.2000:6~14.
    [2] 吴昭同,杨将新等.计算机辅助公差优化设计.杭州:浙江大学出版社.1999.
    [3] 吴昭同.现代质量工程中几个重要的研究进展.全国首届计算机辅助公差设计专题学术会议论文集.杭州.2000:15~23.
    [4] Clement, A., Riviere, A. Tolerancing versus nominal modeling in next generation CAD/CAM system. Proceedings of 3rd CIRP Seminars on Computer Aided Tolerancing. 1993: 97~114.
    [5] Tsai, J. C. Tolerance reasoning for concurrent CAD/CAM systems. [Ph.D. dissertation]. Stanford University, 1993.
    [6] Salomons, O. W. Computer support in the design of mechanical products, constraint specification and satisfaction in feature based design for manufacturing. [Ph.D. dissertation]. University of Twente, The Netherlands. 1995.
    [7] Bjorke O. Computer-Aided Tolerancing, Tapir publishers, Norway, 1978
    [8] Bjorke, O. Computer-Aided Tolerancing. 2nd ed. NewYork. ASME Press. 1989.
    [9] Hillyard C. Dimensions and Tolerances in Shape Design. University of Cambridge, UK : ph. D. Dissertation, 1978.
    [10] Requicha AA C. Toward a Theory of Geometric Tolerancing. Int. J. Rob. Res. 1983,2(4) : 45~49
    [11] Weill, R., Clement, A., Hocken, R., Farmer, L. E., Gladman, C. A., Wirtz, A., Bourdet, P., Freckleton, J. E., Kunzmann, H., Ham, I., Trumpold, H., Matthias, E. Tolerancing for function. Annals of the CIRP. 1988, 37(2): 603~610.
    [12] EIMaraghy, H. A., EIMaraghy, W. H. A System for modeling geometric tolerances for mechanical design. Proceedings of 3rd CIRP Seminars on Computer Aided Tolerancing. 1993:11~24.
    [13] Nassef, A. O., EIMaraghy, H. A. Allocation of tolerance types and values using genetic algorithms. Proceedings of 3rd CIRP Seminars on Computer Aided Tolerancing. 1993: 147~156.
    [14] Clement, A., Riviere, A., Serre, P. A declarative information model for functional requirements. Proceedings of 4th CIRP Seminars on Computer Aided Tolerancing. 1995: 1~15.
    [15] Desrochers, A., Maranzana, R. Constrained dimensioning and tolerancing assistance for mechanisms. Proceedings of 4th CIRP Seminars on Computer Aided Tolerancing. 1995: 19~30.
    [16] Ballu, A., Mathieu, L. Univocal expression of functional and geometrical tolerances for design, manufacturing and inspection. Proceedings of 4th CIRP Seminars on Computer Aided Tolerancing. 1995: 31~46.
    [17] Salomons, O. W., Jonge Poerink, H. J., Van Slooten, F., Van Houten, F. J. A. M., Kals, H. J. J. A Tolerancing tool based on kinematic analogies. Proceedings of 4th CIRP Seminars on Computer Aided Tolerancing. 1995: 47~70.
    
    
    [18] Portman, V. T., Weill, R. D. Modeling spatial dimensional chains for CAD/CAM applications. Proceedings of 4th CIRP Seminars on Computer Aided Tolerancing. 1995: 71~85.
    [19] Maeda, T., Tokuoka, N. Toleranced feature modeling by constraint of degree of freedom for assignment of tolerance. Proceedings of 4th CIRP Seminars on Computer Aided Tolerancing. 1995: 89~103.
    [20] Tonshoff, H. K., Ehrmann, M. Quality features in CAD and CAPP systems. Proceedings of 4th CIRP Seminars on Computer Aided Tolerancing. 1995:104~116.
    [21] Srinivasan, V., O'Connor, M. A. Towards an ISO standard for statistical tolerancing. Proceedings of 4th CIRP Seminars on Computer Aided Tolerancing. 1995:159~172.
    [22] Martinsen, K. Statistical process control using vectorial tolerancing. Proceedings of 4th CIRP Seminars on Computer Aided Tolerancing. 1995: 173~186.
    [23] Nassef, A. O., EIMaraghy, H. A. Probabilistic analysis of geometric tolerances. Proceedings of 4th CIRP Seminars on Computer Aided Tolerancing. 1995: 187~203.
    [24] ANSI Y 14.5M. Dimensioning and tolerancing. ASME, New York, 1994.
    [25] ISO/TC 213. http://www.ds.dk/.
    [26] Mathieu, L., Clement, A., Bourdet, P. Modeling, representation and processing of tolerances, tolerance inspection: a survey of current hypothesis. Proceedings of 5th CIRP Seminars on Computer Aided Tolerancing. 1997: 1~33.
    [27] Bennich, P. International standards for design tolerancing review and future perspective. Proceedings of 5th CIRP Seminars on Computer Aided Tolerancing. 1997: 37~51.
    [28] Braun, P. R. Research in statistical tolerancing: examples of intrinsic non-normalities, and their effects. Proceedings of 5th CIRP Seminars on Computer Aided Tolerancing. 1997: 52~63.
    [29] Bialas, S., Kiszka, K. Relations between ISO 1101 geometrical tolerances and vectorial tolerancesconversion problems. Proceedings of 5th CIRP Seminars on Computer Aided Tolerancing. 1997: 88~99.
    [30] Clement, A., Riviere, A., Serre, P., Valade, C. The TTRSs: 13 constraints for dimensioning and tolerancing. Proceedings of 5th CIRP Seminars on Computer Aided Tolerancing. 1997: 122~131.
    [31] Laperriere, L. Identifying and quantifying functional elements dispersions during functional analysis. Proceedings of 5th CIRP Seminars on Computer Aided Tolerancing. 1997:157~170.
    [32] Desrochers, A., Delbart, O. Determination of part position uncertainty within mechanical assembly using screw parameters. Proceedings of 5th CIRP Seminars on Computer Aided Tolerancing. 1997:185~196.
    [33] Morse, E. P. More on the effects of non-normal statistics in geometric tolerancing. Proceedings of 5th CIRP Seminars on Computer Aided Tolerancing. 1997:254~261.
    [34] Dong, Z., Wang, G. G. Automated cost modeling for tolerance synthesis using manufacturing process data, knowledge reasoning and optimization. Proceedings of 5th CIRP Seminars on Computer Aided Tolerancing. 1997: 282~293.
    [35] Chase, K. W., Magleby, S. P. A comprehensive system for computer aided tolerance analysis of 2-D and 3-D mechanical assemblies. Proceedings of 5th CIRP Seminars on Computer Aided Tolerancing. 1997: 294~307.
    [36] Salomons, O. W., Van Houten, F. J. A. M., Kals, H. J. J. Current status of CAT systems. Proceedings of 5th CIRP Seminars on Computer Aided Tolerancing. 1997: 438~452.
    
    
    [37] Nassef, A. Optimal allocation of types and magnitudes of geometric tolerances. [Ph.D. dissertation]. McMaster University, Canada. 1997.
    [38] Zhang, H. C. Advanced tolerancing techniques. John Wiley & Sons, Inc. 1997.
    [39] Zhang, G. B. Simultaneous tolerancing for design and manufacturing. Advanced tolerancing techniques. John Wiley & Sons, Inc. 1997: 207~232.
    [40] Clement, A., Riviere, A., Serre, P. Global consistency of dimensioning and tolerancing. Proceedings of 6th CIRP Seminars on Computer Aided Tolerancing. 1999: 1~26.
    [41] Chen, M. S., Young, K. W. Optimising tolerance allocation for mechanical assemblies considering geometric tolerances based on a simplified algorithm. Proceedings of 6th CIRP Seminars on Computer Aided Tolerancing. 1999: 27~36.
    [42] Tsai, J. C., Wang, W. W. Development of a computer aided tolerancing system in CAD environment. Proceedings of 6th CIRP Seminars on Computer Aided Tolerancing. 1999: 47~54.
    [43] Desrochers, A., Verheul, S. A three dimensional tolerance transfer methodology. Proceedings of 6th CIRP Seminars on Computer Aided Tolerancing. 1999: 83~92.
    [44] Britten, W., Weber, C. Transforming ISO 1101 tolerances into vectorial tolerance representations- a CAD-based approach. Proceedings of 6th CIRP Seminars on Computer Aided Tolerancing. 1999: 93~100.
    [45] Ha, S., Hwang, I., Lee, K.,Rho, H. M. Tolerance representation scheme for integrated cutting process & inspection planning. Proceedings of 6th CIRP Seminars on Computer Aided Tolerancing. 1999: 131~138.
    [46] Pairel, E., Giordano, M., Samper, S. Towards easier and more functional semantics for geometrical tolerancing. Proceedings of 6th CIRP Seminars on Computer Aided Tolerancing. 1999:139~147.
    [47] Bley, H., Oltermann, R., Thome, O., Weber, C. A tolerance system to interface design and manufacturing. Proceedings of 6th CIRP Seminars on Computer Aided Tolerancing. 1999: 149~156.
    [48] Ballot, E., Bourded, P., Thiebaut, F. Contribution of a mathematical model of specifications of a part to their coherence analysis. Proceedings of 6th CIRP Seminars on Computer Aided Tolerancing. 1999:157~166.
    [49] Linares, J. M., Boukebbab, S., Sprauel, J. M. Parametric tolerancing. Proceedings of 6th CIRP Seminars on Computer Aided Tolerancing. 1999: 167~176.
    [50] Glancy, C. G., Bogard, T. V. Innovations in integrating tolerance analysis technologies for a computer aided tolerancing system. Proceedings of 6th CIRP Seminars on Computer Aided Tolerancing. 1999:215~222.
    [51] Soderberg, R., Lindkvist, L. Two step procedure for robust design using CAT technology. Proceedings of 6th CIRP Seminars on Computer Aided Tolerancing. 1999: 231~240.
    [52] Salomons, O. W., Begelinger, R. E., Post, E., Van Houten, F. J. A. M. Application of TTRS method in industrial practice tolerance specification for industrial cooling water pumps. Proceedings of 6th CIRP Seminars on Computer Aided Tolerancing. 1999: 251~260.
    [53] Salomons, O. W., Van Der Zwaag, J. A., Zijlstra, J., Van Houten, F. J. A. M. Dynamic tolerance analysis, part I: a theoretical framework using bondgraphs. Proceedings of 6th CIRP Seminars on Computer Aided Tolerancing. 1999:271~282.
    [54] Salomons, O. W., Van Der Zwaag, J. A., Zijlstra, J., Van Houten, F. J. A. M. Dynamic tolerance analysis, part Ⅱ: issues to be resolved when applying bondgraphs. Proceedings of 6th CIRP Seminars on Computer Aided
    
    Tolerancing. 1999: 283~292.
    [55] Gerth, R. J. Cost tolerance sensitivity analysis for concurrent engineering design support. Proceedings of 6th CIRP Seminars on Computer Aided Tolerancing. 1999:313~324.
    [56] Laperriere, L., Lafond, P. Tolerance analysis and synthesis using virtual joints. Proceedings of 6th CIRP Seminars on Computer Aided Tolerancing. 1999: 405~414.
    [57] 全国首届计算机辅助公差设计专题学术会议论文集.杭州.2000.
    [58] Srinivasan, V., An integrated view of geometrical product specification and verification. Proceedings of 7th CIRP Seminars on Computer Aided Tolerancing. France, 2001: 7~18.
    [59] Hu, J., Wu, Z. T., Yang, J. X., Variational geometric constraints network for computer aided tolerancing. Proceedings of 7th CIRP Seminars on Computer Aided Tolerancing. France, 2001: 213~222.
    [60] Tsai, J. C., A STEP translator toward computer integrated tolerancing. Proceedings of 7th CIRP Seminars on Computer Aided Tolerancing. France, 2001,255~264.
    [61] Mitchell W, Siddall J N. The Primization Problem with Optimal Tolerance Assignment and Full Acdceptance. ASME Journal of Mechanical Design. 103: 842~849.
    [62] Mitchell W, Siddall J N. The Optimal Tolerance Assignment With Less Than Full Acdceptance. ASME Journal of Mechanical Design. 104: 855~860.
    [63] Parkson D B. Toleraneing of Component Dimensions in CAD. Computer Aided Design. 1984, 16(1): 25~32.
    [64] W.J. Lee and T.C.Woo. Optimum selection of discrete tolerances. ASME Journal of mechanisms, transmission, and automation in design. 1989(111):243~251
    [65] W.J. Lee and T.C.Woo. Tolerances: their analysis and synthesis. ASME Journal of engineering for Industry. 1990(110):113~121
    [66] 杨将新等.计算机辅助公差检验技术的研究.计算机辅助设计与制造,1996,(8):50~52.
    [67] K. Panchal etc. Computer aided tolerance assignment procedure(CATAP) for design dimensioning. Int. J. Prod. Res.1993(6): 1505~1506
    [68] S. Raman etc. Computer aided tolerance assignment. Computers Ind. Engng.21(1):67~71
    [69] Mitchell W, Siddall J N. The Optimal Tolerance Assignment With Less Than Full Acceptance. ASME Journal of Mechanical Design, 104:855~860.
    [70] Hoffman P. Analysis of Tolerances and Process Inaccuracies in Discrete Part Manufacturing. Computer-Aided Design, 1982, 14(2) : 83~88.
    [71] Daniel F, Weill R, Bourdet P, Computer Aided Tolerancing and Dimensioning in Process Planning. Manuf. Tech.CIRPAnn. 1986, 35(1):381~386.
    [72] Janakiram, D., Prasad, L., Rao, U.R.K. Tolerancing of parts using an expert.system. International journal of Advanced Manufacturing Technoloty. 1989(4): 153~160
    [73] Parkinson.D.B., Simulated Variance Optimization for Robust Design[J]. Quality and Reliability Engineering International. 1998,14:15-21.
    [74] Jeang, E.LEU. Robust tolerance design by computer experiment. INT. J. PROD. RES., 1999,VOL37,NO.9,1949-1961.
    
    
    [75] Jeang. Robust Tolerance Design by Response Surface Methodology[J]. Advanced Manufacturing Technology. 1999,15:399-403.
    [76] Jayarman R, Srinivasan V. Geometric tolerance: Ⅰ. Virtual Boundary Requirement. IBM J. Res. Develop. 1989, 33(2): 90~104
    [77] Srinivasan V, Jayarman R. Geometric tolerance: Ⅱ. Conditional Tolerances. IBM J. Res. Develop. 1989, 33(2): 105~125.
    [78] Hillyard R C, Braid I C. Analysis of Dimensions and Tolerances in Computer-Aided Mechanical Design. CAD, 1978, 10(3):161~166.
    [79] Turner J U, Wozny M J, Hoh D D. Tolerance Analysis in a Solid Modeling Envirement. ASME Proc. Of Comput. In Engin. Conf. 1989, 169~175.
    [80] ASME Y14.5.1M-1994. Mathematical Definition of Dimensioning and Tolerancing Principles.
    [81] U. Roy, B. Li. Representation and interpretation of geometric tolerances for polyhedral objects---Ⅰ. Form tolerances. Computer-Aided Design. 30(2):151-161, 1998
    [82] U. Roy, B. Li. Representation and interpretation of geometric tolerances for polyhedral objects. Ⅱ. Size, orientation and position tolerances. Computer-Aided Design. 31:273-285, 1999.
    [83] Shan J J. Dimension and Tolerance Modeling and Transformations in Feature based Design and Manufacturing. Journal of Intelligent Manufacturing. 1998, 9 : 475~488
    [84] 黄灿明,梁天培等.基于特征的几何公差实体模型的研究(1)(2).机械设计与研究.1997,13(1)(2).
    [85] 刘玉生.基于数学定义的平面尺寸和行为公差建模与表示技术的研究.[博士学位论文].浙江大学,杭州.1997
    [86] 胡洁.基于变动几何约束网络的形位公差与方法的研究.[博士学位论文].浙江大学,杭州.2001.
    [87] 蔡敏.基于数学定义的圆柱要素公差建模与分析技术的研究.[博士学位论文].浙江大学,杭州.2002.
    [88] 杨将新.基于装配成功率的公差优化设计系统研究.[博士学位论文].浙江大学,杭州.1996
    [89] 方红芳.设计公差和工序公差并行设计的研究.[博士学位论文].浙江大学,杭州.1997
    [90] 张根保.计算机辅助公差设计综述.中国机械工程,1996,7(5):47~50
    [91] 李斌,张根保,徐宗俊.有向功能关系图OFRG功能实现的代数方法.重庆大学学报.1999,22(1):41~46
    [92] 李斌.计算机辅助公差设计中有向功能关系图OFRG功能实现方法及应用.[博士学位论文]重庆大学,重庆.1998
    [93] 廖小云,刘延龄,程森林.柔薄型零件装配精度分析研究的现状与进展.全国首届计算机辅助公差设计专题学术会议论文集.杭州.2000:60~63
    [94] 黄彤军.基于特征的公差分析和综合的研究.[博士学位论文].华中科技大学,武汉.1995
    [95] 孙绍民.CAD环境中公差分析与综合的研究[博士学位论文].哈尔滨工业大学,哈尔滨.1997
    [96] 姬舒平.虚拟装配环境下公差并行设计方法的研究.[博士学位论文].哈尔滨工业大学,哈尔滨.2000
    [97] 闫艳,宁汝新.并行工程中的公差设计研究与开发.计算机集成制造系统.2000,6(5):43-47
    [98] 闫艳,宁汝新,刘文丰.公差设计特征专家系统.全国首届计算机辅助公差设计专题学术会议论文集.杭州.2000:112~116
    [99] 周志革,黄文振,张利.数论方法在统计公差分析中的应用.机械工程学报.2000,36(3):69~72
    
    
    [100] 范秀敏.装配系统的公差建模与优化.[博士学位论文].上海交通大学,上海.1998
    [101] Desrochers A, Clement A. A Dimensioning and Tolerancing Assistance model for CAD/CAM Systems. Journal of Advanced Manufacturing Technology. 1994, 10(9):352~362.
    [102] 黄鹤汀等.机械制造装备.机械工业出版社,北京,2001.5.
    [103] 殷国富,陈永华.计算机辅助设计技术与应用[M]北京:科学出版社,2000.
    [104] 陈云,严隽琪,方明伦,基于面向对象与STEP技术的制造环境模型研究.机械工程学报,1996,32(4):5~10.
    [105] 宋玉银 蔡复之.产品并行设计技术研究.计算机集成制造系统CIMS.1996,2(3):10~12.
    [106] Changxue Feng, Andrew K. Constraint-based design of parts [J], CAD, 1995,27(5): 343~352.
    [107] Kjiellberg T, Boblin M. Design of a manufacturing resource information system [J], Annals of the CIRP, 1996, 45(1): 149~152.
    [108] Gao J X, Huang X X. Product and manufacturing capability modeling in integrated CAD/process planning environment [J]. Int. J. Advanced Manufacturing Technology, 1996, (11): 43~51.
    [109] Case K. Using a design by features CAD system for process capability modeling [J]. Computer Integrated Manufacturing System, 1994, 7(1): 39~49.
    [110] 宋玉银,褚秀萍,蔡复之.基于STEP的制造资源能力建模及其应用研究.算机集成制造系统CIMS,5(4):46~50.
    [111] 邵新宇,李培根,马卫东等.CIM及并行工程中的设备环境建模[J].华中理工大学学报,1995,23(2):14~17.
    [112] 马鹏举,陈剑虹等.支持动态联盟的制造资源信息建模.中国机械工程,2000,11(7):780~782.
    [113] 李双跃,殷国富,戈鹏,郭文胜.工艺制造资源建模及其在协同工艺设计中的应用.计算机集成制造系统CIMS,2002,8(8):651~654.
    [114] 徐洁磐.现代数据库系统教程.北京希望电子出版社,北京,2002.8.
    [115] 唐任仲.工程应用软件开发技术.化学工业出版社,北京,1999.5
    [116] 雷光复.面向对象的新一代数据库系统.国防工业出版社,北京,2000.1.
    [117] 葛世伦.代逸生.企业管理信息系统开发的理论和方法.清华大学出版社,北京,2000.6.
    [118] 李峰.面向制造的设计方法及其关键技术的研究.[博士学位论文].上海交通大学,上海,1999.7.
    [119] 陈阳.面向并行工程的CAPP制造资源的建模.青海大学学报,2001,19(2):58~60.
    [120] 曾令友,郁鼎文,张玉峰.通用CAPP系统中制造资源管理系统的研究.,制造技术与机床,2003(1):76~78
    [121] Torben L, Cost Evaluation of Alternative Production Methods, IPS Research Seminar, Fugls, 1994, (4): 173~192.
    [122] 赵亮.产品设计中的成本工程及其关键技术研究.博士学位论文,浙江大学,2003.1
    [123] 何桢,齐二石,张生虎.工序能力分析与评价中的几个问题.工业工程,2000,3(2):25~27.
    [124] 黄荣瑛,王治森,杜晓荣.产品可制造性的评价方法.机械工业自动化,1998,20(1),10~14.
    [125] 曹衍龙.面向制造环境的公差稳健设计方法与技术的研究.博士学位论文,浙江大学,2003.3.
    [126] 王伯平,王荣峰,邓春芳.公差优化设计中加工因素的模糊化处理。现代制造工程,2001(9):39~40
    [127] 肖伟跃.CAPP中的智能信息处理技术.国防科技大学出版社,湖南长沙,2002.3.
    
    
    [128] 刘光远,廖晓峰,虞厥邦等.一种神经网络稳健估计方法的推广性研究.电子科学学刊,1999.1,21(1):128~131.
    [129] 朱建军.一种稳健性准则及相应的稳健估计.测绘工程,1996.12,5(4):22~28.
    [130] 王士同编著.模糊系统、模糊神经网络及应用程序设计.上海科学技术文献出版社,上海,1997.
    [131] 王伯平,张平宽,孔令德.基于可变制造环境的成本—公差模型的研究.太原重型机械学院学报,2001.9,22(3):204~207.
    [132] 韩之俊.三次设计.机械工业出版社,北京,1992.
    [133] 陈立周.稳健设计.机械工业出版社,北京,1999.11.
    [134] 王更新,质量工程学质量损失理论的扩展应用研究[博士学位论文].南京理工大学,南京,1999.11.
    [135] Parkinson D. B. The Application of a Robust Design Method to Tolerancing, J. of Mech. Des,2000,122: 149~154
    [136] 刘文文.两种公差与成本模型及其公差分配方法.工具技术,1998,32(7):12~14.
    [137] 江洪等.SolidWorks 2003二次开发基础与实例教程.电子工业出版社,北京,2003.6.
    [138] 康博创作室.Visual C++6.0高级编程.清华大学出版社,北京,1999.5.
    [139] Microsoft corporation,Visual basic5.0程序员指南,科学出版社,北京,1997.12.
    [140] Edward B.Magrab,高会生等译.MATLAB原理与工程应用.电子工业出版社,北京,2002.6.1
    [141] 黄洪钟编著.模糊设计.北京:机械工业出版社,1999.11
    [142] 董玉革著.机械模糊可靠性设计.北京:机械工业出版社,2000.10