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第2期 董书革等:基于偏好设计的物理规划理论 ·255· 参考文献 计.清华大学学报:自然科学版,2005,45(8):1020) [1]Yao X S,Huang H Z.Zhou Z R.Design of satisfactory degre [5 Messac A.Physical programming:effective optimization for com- function in the mechanical satisfactory optimization.Mech Sci putational design.A144J.1996.34(1):149 Technol.2004.23(4):399 [6 Messac A.Ismail Yahaya A.Multiobjective robust design using (姚新胜,黄洪钟,周仲荣.机械满意度优化中满意函数的建立 physical pmogramming.Strut Multidisc Optim.2002.23(5): 357 方法.机械科学与技术.2004.23(4):399) [2]Wang Y L.Li W J.Physical programming and its application in [7 Ravindra V T.John E R.Achille M.Interactive Physical pro aireraft comept design.Acta Aeronaut Astronaut Sin,2005.26 gramming tradeoff analysis and decision making in multidsci- (5):562 plinary optimization 4/44J.2000.38(5):917 [8 Messac A.Gupta S M.Akbulut B.Linear physical program- (王允良,李为吉.物理规划方法及其在飞机方案设计中的应 用.航空学报,2005.26(5):562) ming:a new approach to multiple objective optimization.Trans [3]Yuan X,Tian Z G.Fuzzy physical programming and its applica 0 per Res,1996,8:39 tion.J Guangxi Univ Nat Sci,2004,29(2):105 [9 Chen W.Sahai A.Messac A,et al Physical programming for (袁旭,田志刚.模糊物理规划及其应用研究.广西大学学报:自 robust design /40th AlAA/ASME/ASCE/AHS/ASC Strue 然科学版,2004.29(2):105) tures.Structural Dynamics and Materials Conference and Ex- hibit.St.Louis.1999:17 [4]Huang HZ Liu H L,Gu Y K,et al.Fuzzy robust design opti- mization based on physical pmgramming.J Tsinghua Uniy Sci [10 Messac A,Melchrinoudis E,Sukam C P.Mathematical and Technol.2005.45(8):1020 pragmatic perspectives of physical pmgramming.A/44 J. 2001,395):885 (黄洪钟,刘鸿莉,古莹奎,等.基于物理规划的模糊稳健优化设 (上接第233页) [7]Zhang Y.He Y D.Bai X J.Effect of nozzle submerged depth on (谭利坚,沈厚发.连铸结品器液位波动的数值模拟.金属学 molten steelflow in mould Steelmaking.2001,17(2):52 报,2003,39(4):435) (张胤,贺友多,白学军。水口插入深度对连铸机结品器内流 [10g Liu B C.Shen H F.Li W Z Progres in mumerical simulat ion of 动过程的影响.炼钢,2001,17(2):52) solidification process of shaped casting.Mater Sci Technol, [8]Huang X.Thomas BG.Modeling of transient flow phenomena in 1995,11(5):313 continuus casting of steel.Can Metall O,1998,37(304):197 11]Han B,He F,Ye H K,Wang X F.Numerical simultion of [9]Tan L J,Shen H F.Numerical simulation of surface oscillation in transient flow with free surface in engimeering.J Hydrodyn A. continuus casting moH.Acta Metall Sin,2003,39(4):435 1999,142):142参 考 文 献 [ 1] Yao X S , Huang H Z, Zhou Z R.Design of satisf actory degree function in the mechanical satisfact ory optimization.Mech S ci Technol, 2004, 23 ( 4) :399 ( 姚新胜, 黄洪钟, 周仲荣.机械满意度优化中满意函数的建立 方法.机械科学与技术, 2004, 23 ( 4) :399) [ 2] Wang Y L, Li W J.Physical programming and its appli cation in aircraft concept design.Acta Aeronaut Astrona ut S in, 2005, 26 ( 5) :562 ( 王允良, 李为吉.物理规划方法及其在飞机方案设计中的应 用.航空学报, 2005, 26( 5) :562) [ 3] Yuan X, Tian Z G .Fuzzy physical programming and its applica￾tion.J Guang xi U niv Nat Sci, 2004, 29( 2) :105 ( 袁旭, 田志刚.模糊物理规划及其应用研究.广西大学学报:自 然科学版, 2004, 29( 2) :105) [ 4] Huang H Z, Liu H L, Gu Y K, et al.Fuzzy robust design opti￾mization based on physi cal p rogramming .J Tsinghua U niv S ci Technol, 2005, 45( 8) :1020 ( 黄洪钟, 刘鸿莉, 古莹奎, 等.基于物理规划的模糊稳健优化设 计.清华大学学报:自然科学版, 2005, 45( 8) :1020) [ 5] Messac A .Physi cal programming :effective optimization f or com￾pu tational design.AIA A J, 1996, 34( 1) :149 [ 6] Messac A, Ismail-Yahaya A .Multiobjective robust design using physical p rogramming .S tr uct Mu ltidisc Optim , 2002, 23( 5 ) : 357 [ 7] Ravindra V T, John E R, Achille M .Int eractive Physical pro￾gramming:tradeoff analysis and decision making in multidisci￾plinary optimization.AI AA J, 2000, 38( 5) :917 [ 8] Messac A, Gupt a S M, Akbulut B .Linear physical program￾ming :a new app roach to multiple objective optimization.Trans Oper Res, 1996, 8:39 [ 9] Chen W, Sahai A, Messac A, et al.Physical programming for robust design ∥40 th AIA A/ AS ME/ ASCE/ AHS/ ASC S tr uc￾tures, S tructural Dynamics and Materials Con ference and Ex￾hibit .S t.Louis, 1999:17 [ 10] Messac A, Melachrinoudis E, Sukam C P .Mathematical and pragmati c perspectives of physical p rogramming .AI AA J , 2001, 39( 5) :885 ( 上接第 233 页) [ 7] Zhang Y, He Y D, Bai X J.Eff ect of nozzle submerged depth on molten st eel flow in mould.Steelmaking , 2001, 17( 2) :52 ( 张胤, 贺友多, 白学军.水口插入深度对连铸机结晶器内流 动过程的影响.炼钢, 2001, 17( 2) :52) [ 8] Huang X, Thomas B G.Modeling of transient flow phenomena in continuous casting of st eel.Can Meta ll Q, 1998, 37( 304) :197 [ 9] Tan L J, Shen H F .Numerical simulation of surf ace oscillation in continuous casting mold.Acta Meta ll S in , 2003, 39( 4) :435 ( 谭利坚, 沈厚发.连铸结晶器液位波动的数值模拟.金属学 报, 2003, 39( 4) :435) [ 10] Liu B C, Shen H F, Li W Z.Prog ress in numeri cal simulation of solidifi cati on process of shaped casting .J Mater S ci Technol, 1995, 11( 5) :313 [ 11] Han B, He F, Ye H K, Wang X F .Numerical simulation of transient flow w ith free surface in engineering .J Hydrodyn A , 1999, 14( 2) :142 第 2 期 董书革等:基于偏好设计的物理规划理论 · 255 ·
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