[1] LIU S C, HU S J. An offset finite element model and its applications in predicting sheet metal assembly variation[J]. International Journal of Machine Tools and Manufacture, 1995, 35(11):1545-1557.
[2] HU S J, KOREN Y. Stream of variation theory for automotive body assembly[J]. Annals of the CIRP, 1997, 46(1):1-6.
[3] LIU S C, LEE H W, HU S J. Variation simulation for deformable sheet metal assemblies using mechanic models[J]. Transactions of NAMRI/SAE, 1995, 23(5):235-240.
[4] LIU S C, HU S J. Variation simulation for deformation sheet metal assembly using finite element methods[J]. Journal of Manufacturing Science and Engineering, 1997, 11:368-374.
[5] SAMPER S, GIORDANO M. Taking into account elastic displacements in 3D tolerancing models and application[J]. J. Mater. Process. Tech., 1998, 78:156-162.
[6] DESROCHERS A, CLÉMENT A. A dimensioning and tolerancing assistance model for CAD/CAM systems[J]. In.t J. Adv. Manuf. Technol., 1994, 9:352-361.
[7] DESROCHERS A, RIVIÈRE A. A matrix approach to the representation of tolerance zones and clearances[J]. Int. J. Adv. Manuf. Technol., 1997, 13:630-636.
[8] BOURDET P, MATHIEU L, LARTIGUE C, et al. The concept of the small displacement torsor in metrology[J]. Advanced Mathematical Tools in Metrology Ⅱ Series on Advances in Mathematics for Applied Sciences, 1996, 40:110-122.
[9] SAMPER S, GIORDANO M. Taking into account elastic displacements in 3D tolerancing models and application[J]. J. Mater. Process. Tech., 1998, 78:156-162.
[10] 张为民,陈灿,李鹏忠,等. 基于雅可比旋量法的实际工况公差建模[J]. 计算机集成制造系统, 2011, 17(1):77-83. ZHANG Weimin, CHEN Can, LI Pengzhong, et al. Tolerance modeling in actual working condition based on Jacobian-Torsor theory[J]. Computer Integrated Manufacturing Systems, 2011, 17(1):77-83.
[11] 冯(龙天),洪军,郭俊康,等. 基于新一代产品几何技术规范的工作载荷下公差建模[J]. 计算机集成制造系统, 2013, 19(7):1500-1508. FENG Yan, HONG Jun, GUO Junkang, et al. Tolerance modeling of working load based on geometrical product specifications[J]. Computer Integrated Manufacturing Systems, 2013, 19(7):1500-1508.
[12] 刘建永,乔立红. 一种考虑零件变形的装配误差计算方法[J].计算机集成制造系统, 2015, 21(1):94-100. LIU Jianyong, QIAO Lihong. Calculation method for assembly error with consideration of part deformation[J]. Computer Integrated Manufacturing Systems, 2015, 21(1):94-100.
[13] LUSTIG R, MEERKAMM H. Representation of elastic deformations as deviation zone and its connection with statistical tolerance zones[C]//Proceedings of the 9th International Design Conference, Dubrovnik, May 2006:921-928.
[14] 谢峰,方伟. 零件装配中动态尺寸链的研究[J]. 组合机床与自动化加工技术, 2006(11):69-71. XIE Feng, FANG Wei. The research of the dynamic dimensional chain in the parts assembly[J]. Modular Machine Tool & Automatic Manufacturing Technique, 2006(11):69-71.
[15] 林巨广,黄振辉,蔡高坡. 基于动态尺寸链的变速箱总成轴系装配精度的研究[J]. 机械工程师, 2009(5):40-42. LIN Juguang, HUANG Zhenhui, CAI Gaopo. Research on assembly precision of gearbox shafting assembly based on dynamic dimensional chain[J]. Mechanical Engineer, 2009(5):40-42.
[16] 武莉莉,方东阳,高琳. 受力变形对公差与配合设计的影响[J]. 河南纺织高等专科学校学报, 2005, 17(2):7-9. WU Lili, FANG Dongyang, GAO Lin. On the effects of stress deformation on tolerance and fit design[J]. Journal of Hennan Textile College, 2005, 17(2):7-9.
[17] SAMPER S, GIORDANO M. Simultaneous analysis method for tolerancing flexible mechanisms[C]//Proceedings of the 7th CIRP International Seminar on Computer Aided Tolerancing, April 24-25, 2001, Cachan, France, 2001:75-82.
[18] SAMPER S, ADRAGNA P A, FAVRELIERE H, et al. Modeling of 2D and 3D assemblies taking into account form errors of plane surfaces[J]. Journal of Computing & Information Science in Engineering, 2010, 9(4):790-792.
[19] SAMPER S, PETIT J P, GIORDANO M. Elastic clearance domain and use rate concept applications to ball bearings and gears[J]. Models for Computer Aided Tolerancing in Design and Manufacturing, 2007, 10:331-340.
[20] GRANDJEAN J, LEDOUX Y, SAMPER S. On the role of form defects in assemblies subject to local deformations and mechanical loads[J]. The International Journal of Advanced Manufacturing Technology, 2013, 65(9-12):1769-1778.
[21] CID G, THIÉBAUT F, BOURDET P. Taking the deformation into account for components' tolerancing[C/CD]//5th conference on Integrated Design on Manufacturing and Mechanical Engineering, April 5-7, Bath, UK, 2004.
[22] CID G, THIÉBAUT F, BOURDET P, et al. Geometrical study of assembly behaviour, taking into accounts rigid components' deviations, actual geometric variations and deformations[C/CD]//Proceedings of the 9th CIRP International Seminar on Computer Aided Tolerancing, Tempe, Arizona, 2005.
[23] GUO Junkang, HONG Jun, WANG Yong, et al. An ideal mating surface method used for tolerance analysis of mechanical system under loading[C]//12th CIRP Conference on Computer Aided Tolerancing, Procedia CIRP10, 2013:306-311.
[24] 胡鹏浩,费业泰,黄其圣. 考虑受热和受力变形的公差与配合设计[J]. 应用科学学报, 2000, 18(02):153-155. HU Penghao, FEI Yetai, HUANG Qisheng. Tolerance and fit design in consideration of thermal and assembling deformation[J]. Journal of Applied Sciences, 2000, 18(02):153-155.
[25] 黄其圣,张勇,胡鹏浩,等. 温度变化对机械零件配合精度的影响[J]. 机械设计, 2001, 18(3):45-47. HUANG Qisheng,ZHANG Yong,HU Penghao,et al. The influence of temperature variation on the fitting accuracy of machine elements[J]. Journal of Machine Design, 2001, 18(3):45-47.
[26] 费业泰, 罗哉. 精密技术中热变形误差影响的基本问题[J]. 纳米技术与精密工程, 2003, 1(1):79-84. FEI Yetai, LUO Zai. Basic problem about thermal deformation error in precision technology[J]. Nanotechnology and Precision Engineering, 2003, 1(1):79-84.
[27] 罗哉,费业泰,苗恩铭. 稳态温度场中孔形零件受热变形研究[J]. 材料热处理学报, 2004, 25(2):25-27. LUO Zai, FEI Yetai, MIAO Enming. Study on thermal deformation of hollow piece in steady temperature field[J]. Transactions of Materids and Heat Treatment, 2004, 25(2):25-27.
[28] 罗哉,费业泰,苗恩铭. 稳态非均匀温度场中孔型零件变形研究[J]. 应用科学学报, 2005, 23(4):424-427. LUO Zai, FEI Yetai, MIAO Enming. Thermal deformation of hollow parts in an uneven steady-state temperature field[J]. Journal of Applied Sciences, 2005, 23(4):424-427.
[29] 罗哉,费业泰,苗恩铭,等. 工作状态下孔形零件受热变形理论研究[J]. 机械设计, 2004, 21(10):24-25. LUO Zai, FEI Yetai, MIAO Enming, et al. Theoretical study on thermal deformation of hollowed parts under operating conditions[J]. Journal of Machine Design, 2004, 21(10):24-25.
[30] 罗哉. 精密机械中孔轴最佳热配合理论及应用研究[D]. 合肥:合肥工业大学, 2005. LUO Zai. Theoretical and applied research of optimal thermal fit of hollow piece and cylindrical piece[D]. Hefei:Hefei University of Technology, 2005.
[31] 芮执元,王志强,周亚敏. 热变形对电主轴电机转子与主轴过盈配合的影响[J]. 机械与电子, 2011(7):3-5. RUI Zhiyuan, WANG Zhiqiang, ZHOU Yamin. Effect of thermal deformation to the interference fit between the motor spindle's rotor and spindle[J]. Machinery & Electronics, 2011(7):3-5.
[32] JEANG A, CHEN T K, HWAN C L. A statistical dimension and tolerance design for mechanical assembly under thermal impact[J]. The International Journal of Advanced Manufacturing Technology, 2002, 20:907-915.
[33] SPRUEGEL T C, WALTER M, WARTZACK S. Robust tolerance design of systems with varying ambient temperature influence due to worldwide manufacturing and operation[C/CD]//International Design Conference, DESIG2014, 2014.
[34] BENICHOU S, ANSELMETTI B. Thermal dilatation in functional tolerancing[J]. Mechanism and Machine Theory, 2011, 46(11):1575-1587.
[35] 周启舟, 邱彪. 基于小位移旋量和热变形的平面公差建模方法研究[J]. 机械工程师, 2013(12):38-41. ZHOU Qizhou, QIU Biao. Modeling method of plane tolerance based on SDT and thermal deformation[J]. Mechanical Engineer, 2013(12):38-41.
[36] JAYAPRAKASH G, THILAK M, SIVAKUMAR K. Optimal tolerance design for mechanical assembly considering thermal impact[J]. The International Journal of Advanced Manufacturing Technology, 2014, 73:859-873.
[37] JAYAPRAKASH G, SIVAKUMAR K, THILAK M. FEA compliant parametric tolerance allocation of mechanical assembly using neural network and differential evolution algorithm[J]. International Journal of Computer Integrated Manufacturing, 2012, 25(7):636-654.
[38] JAYAPRAKASH G, THILAK M, SIVAKUMAR K. Integration of thermo mechanical strains into optimal tolerance design of mechanical assembly using NSGA Ⅱ and FE simulation[J]. Journal of Mechanical Engineering Research, 2011, 3(6):168-180.
[39] JAYAPRAKASH G, SIVAKUMAR K, THILAK M. Parametric tolerance qnalysis of mechanical assembly using FEA and cost competent tolerance synthesis using neural network[J]. Journal of Software Engineering and Applications, 2010, 3(12):1148-1154.
[40] GUO J, HONG J, YANG Z, et al. A tolerance analysis method for rotating machinery[J]. Procedia CIRP, 2013, 10:77-83.
[41] NI J, TANG W, XING Y. Three-dimensional precision analysis with rigid and compliant motions for sheet metal assembly[J]. The International Journal of Advanced Manufacturing Technology, 2014, 73(5):805-819.
[42] 倪俊,汤文成,幸研. 双弯曲反射面天线卧立转换尺寸偏差分析方法[J]. 机械工程学报, 2015, 51(17):120-127. NI Jun, TANG Wencheng, XING Yan. Dimensional variation analysis method for the assembly of double curved reflector before and after the lie-to-stand state conversion[J]. Journal of Mechanical Engineering, 2015, 51(17):120-127.
[43] PIERRE L, TEISSANDIER D, NADEAU J P. Integration of thermomechanical strains into tolerancing analysis[J]. International Journal on Interactive Design and Manufacturing (IJIDeM), 2009, 3(4):247-263.
[44] PIERRE L, TEISSANDIER D, NADEAU J P. Variational tolerancing analysis taking thermomechanical strains into account:Application to a high pressure turbine[J]. Mechanism and Machine Theory, 2014, 74:82-101.
[45] LORIN S, LINDKVIST L, SÖDERBERG R, et al. Combining variation simulation with thermal expansion simulation for geometry assurance[J]. Journal of Computing and Information Science in Engineering, 2013, 13(3):031007-031007-8.
[46] LEE D, KWON K E, LEE J. Tolerance analysis considering weld distortion by use of pregenerated database[J]. Journal of Manufacturing Science and Engineering, 2009, 131(4):583-590.
[47] PAHKAMAA A, RMEFJORD W, KARLSSON L. Combining variation simulation with welding simulation for prediction of deformation and variation of a final assembly[J]. Journal of Computing and Information Science in Engineering, 2012, 12(2):21002-21007.
[48] LORIN S, CROMVIK C, EDELVIK F, et al. Variation simulation of welded assemblies using a thermo-elastic finite element model[J]. Journal of Computing & Information Science in Engineering, 2014, 14(3):031003-031003-6.
[49] 胡敏,来新民,林忠钦,等. 车体多柔性件装配的误差分析[J]. 上海交通大学学报, 2000, 34(10):1365-1368. HU Min, LAI Xinmin, LIN Zhongqin, et al. Variation analysis for multi flexible auto-body assembly[J]. Journal of Shanghai Jiaotong University, 2000, 34(10):1365-1368.
[50] 来新民,林忠钦,陈关龙. 轿车车体装配尺寸偏差控制技术[J]. 中国机械工程, 2000, 11(11):1215-1220. LAI Xinmin, LIN Zhongqing, CHEN Guanlong. On variation control techniques for automotive body assembly[J]. China Mechanical Engineering, 2000, 11(11):1215-1220.
[51] 林忠钦,连军,倪军,等. 基于小样本的车身装配尺寸质量动态高精度评价方法[J]. 机械工程学报, 2001, 37(11):62-65. LIN Zhongqing, LIAN Jun, NI Jun, et al. High precision evaluation of the autobody assembly quality based on small sample size[J].Chinese Journal of Mechanical Engineering, 2001, 37(11):62-65.
[52] 田兆青,来新民,林忠钦. 多工位薄板装配偏差流传递的状态空间模型[J]. 机械工程学报, 2007, 43(2):202-209. TIAN Zhaoqing, LAI Xinmin, LIN Zhongqing. State space model of variations stream propagation in multistation assembly processes of sheet metal[J]. Chinese Journal of Mechanical Engineering, 2007, 43(2):202-209.
[53] 李余兵,陈关龙,来新民,等. 柔性件装配概念设计偏差分析系统架构[J]. 上海交通大学学报, 2006, 40(12):2070-2074. LI Yubing, CHEN Guanlong, LAI Xinmin, et al. An assembly variation analysis framework of flexible parts conceptual design[J]. Journal of Shanghai Jiaotong University, 2006, 40(12):2070-2074.
[54] LIAO X, WANG G G. Employing fractals and FEM for detailed variation analysis of non-rigid assemblies[J]. International Journal of Machine Tools and Manufacture, 2005, 45(4-5):445-454.
[55] LIAO X, WANG G G. Wavelets-based method for variation analysis of non-rigid assemblies[J]. International Journal of Machine Tools and Manufacture, 2005, 45(14):1551-1559.
[56] LIAO X, WANG G G. Non-linear dimensional variation analysis for sheet metal assemblies by contact modeling[J]. Finite Elem. Anal. Des., 2007, 44:34-44.
[57] XIE K, WELLS L, CAMELIO J A, et al. Variation propagation analysis on compliant assemblies considering contact interaction[J]. Journal of Manufacturing Science & Engineering, 2006, 129(5):743-752.
[58] DAHLSTRÖM S, LINDKVIST L. Variation simulation of sheet metal assemblies using the method of influence coefficients with contact modeling[J]. Journal of Manufacturing Science & Engineering, 2007, 129(3):615-622.
[59] UNGEMACH G, MANTWILL F. Efficient consideration of contact in compliant assembly variation analysis[J]. Journal of Manufacturing Science and Engineering, 2009, 131(1):123-136.
[60] LUSTIG R, MEERKAMM H. Linking elastic deformations and fabrication deviations in computer-aided-analysis[C/CD]//Proceedings of the 14th International Conference on Engineering Design, 19-21 August, Stockholm, 2003.
[61] STOCKINGER A, LUSTIG R, MEERKAMM H. Computer-based and experimental validation of an approach to combine tolerance zones with elastic deformations[C/CD]//International Conference on Engineering Design. 28-31 August, Paris, France, 2007.
[62] LUSTIG R, HOCHMUTH R, MEERKAMM H. Elastic deformations in computer aided tolerance analysis:A focus on two-dimensional contact surfaces[C]//Proceedings of the 8th International Design Conference, Dubrovnik, Croatia, 2004:1315-1320.
[63] LUSTIG R, HOCHMUTH R, MEERKAMM H. Enhancement in coupling tolerance analysis and elastic deformations on the example of a Serial linear support system[C/CD]//Proceedings of the 15th International Conference on Engineering Design, 15-18 August, Melbourne, Australia, 2005.
[64] STUPPY J, MEERKAMM H. Tolerance analysis of mechanisms taking into account joints with clearance and elastic deformations[C]//Proceedings of the 17th International Conference on Engineering Design, Stanford, August, 2009:489-500.
[65] SCHLEICH B, WARTZACK S. How to determine the influence of geometric deviations on elastic deformations and the structural performance?[C]//Proceedings of the Institution of Mechanical Engineers, Part B:Journal of Engineering Manufacture, 2013, 227(5):754-764.
[66] CAO Yanlong, MATHIEU L, JIANG J. Key research on computer aided tolerancing[J]. Journal of Zhejiang University Science A, 2015, 16(5):335-340.
[67] SHEN Z. Tolerance analysis with EDS/Vis VSA[J]. Journal of Computing & Information Science in Engineering, 2003, 3:95-99.
[68] PAWAR S Y, CHAVAN H A, CHAVAN S P. Tolerance stack up analysis and simulation using visualization VSA[J]. International Journal of Advanced Engineering Technology, 2011, 2:169-175.
[69] CHIESI F, GOVERNI L. Tolerance analysis with eM-TolMate[J]. Journal of Computing & Information Science in Engineering, 2003, 3:100-105.
[70] PRISCO U, GIORLEO G. Overview of current CAT systems[J]. Integrated Computer-Aided Engineering, 2002, 9(4):373-387.
