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1、Good is good, but better carries it.精益求精,善益求善。Perato帕累托在沖壓過程同時控制減薄和回彈的優(yōu)化設(shè)計方法外文翻譯-在沖壓過程中Pareto同時控制細(xì)化和回彈的優(yōu)化設(shè)計方法Plitudetngshkngzhjinbohhudnyuhushjfngfzichngyguchng字典-HYPERLINK.hk/dictionary?source=translation&hl=zh-CN&q=A%20PARETO%20OPTIMAL%20DESIGN%20APPROACH%20FOR%20SIMULTANEOUS%20%20CONTROL%20OF%20T
2、HINNING%20AND%20SPRINGBACK%20IN%20STAMPING%20&langpair=en|zh-CN查看字典詳細(xì)內(nèi)容RosaDiLorenzo1*,GiuseppeIngarao1,FabrizioMicari1,FranciscoChinesta21UniversitdiPalermo,Dip.diTecnologiaMeccanicaProduzioneeIngegneriaGestionaleVialedelleScienze-90128Palermo(Italy)2法國國家科學(xué)研究中心LMSPUMR-ENSAM,151大道德里總醫(yī)院,75013巴黎,法國摘要:
3、在汽車領(lǐng)域中最相關(guān)的研究課題之一是在減少沖壓件重量的同時增加其強度。這樣,一個較強的的研究工作是開發(fā)能夠被廣泛利用需要適當(dāng)回彈控制的高強度鋼材。在板料成形過程中回彈的減少是一個細(xì)化與減少相沖突的典型的目標(biāo)。因此,這些問題都可以看作是由相互沖突的具有多目標(biāo)特征被考慮。更重要的是,如今,一個偉大的研究將集中在諸多中的最優(yōu)方案,而不是一個單一的解決方案,特別是在工業(yè)環(huán)境。本文中數(shù)據(jù)模擬、響應(yīng)曲面法和帕累托最優(yōu)解搜索技術(shù)的整合被應(yīng)用于以設(shè)計一個DP600U型通道形狀的沖壓操作。尤其是對作為設(shè)計變量的摩擦條件與壓邊力進(jìn)行了優(yōu)化,以實現(xiàn)兩個不同的目標(biāo):減少過多的細(xì)化和避免由于回彈發(fā)生的過度幾何扭曲。關(guān)鍵詞
4、:金屬板沖壓、變薄、回彈、響應(yīng)面法的多目標(biāo)優(yōu)化朗讀1簡介在汽車領(lǐng)域中最相關(guān)的研究議題之一是研究在減少沖壓件的重量是同時增加其強度。這些問題導(dǎo)致了材料的成功,如高強度鋼(TRIP,DP等),它們是由成形操作后強大的回彈力產(chǎn)生的1-3。其中一個主要議題,板料成形過程中回彈控制問題,如今進(jìn)行了計算機(jī)仿真校準(zhǔn)。具體而言,主要問題方面:數(shù)值參數(shù)標(biāo)定4,5;關(guān)于本構(gòu)模型的回彈影響6工藝參數(shù)的影響7。金屬板材成形過程中大部分的問題是多目標(biāo)優(yōu)化問題,一般由相互沖突的目標(biāo)來描述。在板料成形過程中由矛盾目標(biāo)描述的最典型優(yōu)化的例子是為防止開裂和回彈定義的適當(dāng)工藝參數(shù)。更重要的是,一個偉大的研究將集中在諸多中的最優(yōu)方
5、案,而不是一個單一的解決方案。因此,設(shè)計參數(shù)標(biāo)定,完成所有的目標(biāo),是困難的,有時是不成功的。為了克服這一缺點,以帕累托最優(yōu)解的搜索技術(shù)為基礎(chǔ)的多目標(biāo)優(yōu)化過程中,似乎是一個非常有吸引力的辦法來處理板材成形工藝設(shè)計8,9。本文中數(shù)據(jù)模擬、響應(yīng)曲面法和帕累托最優(yōu)解搜索技術(shù)的整合被應(yīng)用于以設(shè)計一個DP600U型通道形狀的沖壓操作。尤其是對作為設(shè)計變量的摩擦條件與壓邊力進(jìn)行了優(yōu)化,以實現(xiàn)兩個不同的目標(biāo):減少過多的細(xì)化和避免由于回彈發(fā)生的過度幾何扭曲。10,11優(yōu)化程序的步驟包括用于在設(shè)計領(lǐng)域必要的變量數(shù)據(jù)鑒定的中心復(fù)合設(shè)計(CCD)應(yīng)用,然后收集由CCD所確定的樣本數(shù)值模擬(顯式隱式),運行和輸出的數(shù)據(jù)
6、變量。包括曲面模型的發(fā)展的下列步驟解釋了最終目標(biāo),作為函數(shù)設(shè)計變量和驗證的功能。最后,執(zhí)行為達(dá)到最佳設(shè)計變量的帕累拖最優(yōu)解。其最終目的是開發(fā)一種能夠識別一種分析過程的加工窗口和減少計算量的預(yù)測工具,特別是針對多優(yōu)化技術(shù)或傳統(tǒng)的試錯方法??蓪嵤┑某绦?qū)υS多可能的技術(shù)方案進(jìn)行了研究,獲得了一系列能夠滿足不同設(shè)計要求的可靠方案。2分析過程所考慮的形成過程是一個旨在獲得S形U型通道的典型沖壓(參考圖1被調(diào)查過程的素描)。一個15毫米的高度被考慮在內(nèi)。所利用的材料是一種1mm厚的DP-600高強度鋼,為了進(jìn)行以下流動規(guī)律的分析,通過在0方向開展拉伸試驗獲得試樣:=10080.169兆帕。圖1:分析過程示
7、意圖以下是蘭克福德的各向異性參數(shù):r0=0.73;r45=0.9;r90=0.93。這個過程是使用LS-DYNA的明碼進(jìn)行的數(shù)值模擬,和用LS-DYNA的隱式求解進(jìn)行隨后的回彈分析。這些數(shù)值模型5中根據(jù)對以往的經(jīng)驗,利用一個在厚度方向上有9個集合點的完整綜合四邊形殼單元,在特別是,原始尺寸為3mm和三個層次的幾何網(wǎng)格調(diào)整策略被應(yīng)用于數(shù)值模擬。在最后顯示的仿真單元總數(shù)比4000高;摩擦的操作考慮一個庫侖模式。為了利用各向同性加工硬化來考慮材料的各向異性Barlat-Lian的本構(gòu)模型12。為了在隱式模擬下評估回彈實體即利用CAD工具與一個參考目標(biāo)形狀進(jìn)行比較。特別是,計算這些目標(biāo)形狀和所得到的形
8、狀之間的總偏差,(即兩個重疊表面之間的最大正常的距離)。3最優(yōu)化問題該考慮的優(yōu)化問題是在最后部分盡量減少(為了防止開裂)變薄,同時也盡量減少回彈的發(fā)生。因此,在模型階段的研究問題上兩個目標(biāo)函數(shù)被定義為:t最后部分測量的最大變薄量和dmm這是最后的形狀與參考目標(biāo)形狀的最大偏差。該問題建模還包括設(shè)計變量的定義:在被調(diào)查的過程中選擇兩個設(shè)計變量,即摩擦系數(shù)()和壓邊力值(BHFKN)其實,與所分析的目標(biāo)函數(shù)變量有關(guān)的設(shè)計變量的選擇,因為這些變量在表中強烈影響制約力量,在這影響變薄、回彈實體的過程中。一旦進(jìn)行了優(yōu)化問題的建模,在摘要中提出的工作流程按照下列步驟進(jìn)行:步驟1.數(shù)值模擬運行的規(guī)劃是通過適當(dāng)
9、的實驗設(shè)計(DOE)定義來實現(xiàn)的;步驟2.數(shù)據(jù)仿真的發(fā)展,根據(jù)所設(shè)計的DOE;步驟3運用DOE的.數(shù)字?jǐn)?shù)據(jù)收集獲得薄度(t%)和回彈量(d),為確定每個條件;步驟4.原建模步驟:作為設(shè)計變量的一種功能來描述目標(biāo)函數(shù),響應(yīng)面的分析制定;步驟5.響應(yīng)精度表面所獲得的評價,運用實際數(shù)值通過響應(yīng)表面的誤差預(yù)測(像關(guān)于適當(dāng)選擇設(shè)計領(lǐng)域的點的評估的發(fā)展);步驟6.-約束法的應(yīng)用,以執(zhí)行一個多目標(biāo)優(yōu)化,即以確定最佳Pareto解決方案。步驟1被認(rèn)為是,中央綜合設(shè)計(CCD)的建筑被選定來設(shè)計一系列的實驗/模擬,實際上,為適合二階響應(yīng)面,這是最有利的做法之一。特別是,表1所示的實驗設(shè)計是為兩個設(shè)計變量制定的。
10、表1:設(shè)計變量的使用水平設(shè)計變量DOE水平-1010.0920.10.120.140.148壓力邊kN6480120160176在不同的設(shè)計變量中,進(jìn)行模擬設(shè)計,獲得最大薄度(t)和回彈量(d)。圖2顯示了回彈的數(shù)值分布,圖3顯示了DOE的一個模擬細(xì)化分配,特別是=0.12和BHF=120KN。圖2:回彈分布(dmm)圖3:細(xì)化分布(t)4討論的結(jié)果和結(jié)論一旦設(shè)計的數(shù)據(jù)模擬被開發(fā)出來,步驟4和5的程序也被開發(fā)出來和有兩個目標(biāo)函數(shù)決定兩個反應(yīng)表面(參考圖4和圖5分別為響應(yīng)面的細(xì)化和回彈,所有值正常化)。通過一個“啟發(fā)式”回歸法(在Minitab的環(huán)境下開發(fā)的)獲得最佳的反應(yīng)函數(shù),隨后排除在統(tǒng)計上
11、較少的顯著的因素13。這類程序?qū)е铝思?xì)化的一個三階多項式函數(shù),并為回彈的兩個二階一項函數(shù)提供非常滿意的相關(guān)系數(shù)。用t%和d的預(yù)測值和實際值的對比對所得方程進(jìn)行預(yù)測誤差測量,這樣的測試表明了兩個表面良好的預(yù)測能力。一旦響應(yīng)表面有效性進(jìn)行了測試,就可進(jìn)行Pareto最優(yōu)解測定。用于確定Pareto解決方案技術(shù)是-約束法。特別是,在-約束方法的發(fā)展上,選擇細(xì)化功能作為進(jìn)行優(yōu)化的主要功能。測定由此產(chǎn)生的Pareto曲線,通過繪制t%和d的曲線表示Pareto邊界,發(fā)表在圖6上。得到的邊界是一種有效的設(shè)計工具,因為它提供了Pareto最優(yōu)解集:通過確定一個理想水平的細(xì)化,例如可能預(yù)見被期望的最低可能回彈
12、水平。此外,對一些屬于Pareto邊界的點進(jìn)行了數(shù)值復(fù)制(例如,在圖6中看到的點1到3)。3個Pareto點所對應(yīng)的結(jié)果,在圖7中作為回彈表示;在圖8中作為細(xì)化表示。圖4:響應(yīng)表面細(xì)化圖5:響應(yīng)表面回彈圖6:帕累托邊界此外,對于屬于Pareto邊界每一個點,它可以知道哪個組合設(shè)計變量(壓邊力和摩擦系數(shù)的值)對應(yīng)于給定的細(xì)化和回彈的水平。因此,可以考慮把所獲得的曲線作為一種設(shè)計工具,用一個可達(dá)到的目標(biāo)中的設(shè)計結(jié)果定義設(shè)計變量。表3顯示了所選擇的點設(shè)計變量的值。所得到的值與相應(yīng)細(xì)化和回彈的發(fā)生是非常相互一致的。這種考慮允許評估開發(fā)設(shè)計工具的有效性。事實上,得到的結(jié)果證明了該方法的有效性。表2:Pa
13、reto邊界上點1-2-3的設(shè)計變量設(shè)計變量Pareto點1230.1380.1250.09BHFKN16010464圖7:期望的和結(jié)果的(回彈效應(yīng))形狀之間比較,Pareto邊界線上的點1-2-3圖8:Pareto邊界上點1-2-3的分條細(xì)化參考文獻(xiàn)1BanuM.,TakamuraM.,HamaT.,NaidimO.,TeodosiuC.,MakinouchiA:在沖壓過程中雙相鋼軌形件回彈和起皺仿真。材料加工技術(shù)雜志173:178-184,2006。2KocM.,ChenP.:先進(jìn)高強度鋼的成形回彈變化模擬研究。材料加工技術(shù)雜志190:189-198,2007。3AsgariM.,Pere
14、iraB.F.,RolfeM.,DingleP.D,HodgsonS.A.:板材成型和回彈分析的有限元模仿真統(tǒng)計分析。材料加工技術(shù)雜志203:129-136,2008。4XuW.L.,MaC.H.,LiC.H.FengW.J.:板料成形回彈模擬的敏感因素材料加工技術(shù)雜志,151:217-222,2004。5FratiniL.,IngaraoG.,MicariF.:在金屬板材三維成形回彈預(yù)測過程。國際鋼鐵研究,2008年。6A.Faust,K.Roll.:采用先進(jìn)材料模具的現(xiàn)代高強度鋼的數(shù)值回彈評價5FldnLIngaraok,Micarilu:Zijnshbncisnwichngxnghudn
15、ycguchng.Gujgngtiynji,2008nin.字典-HYPERLINK.hk/dictionary?source=translation&hl=zh-CN&q=The%20best%20performing%20response%20functions%20were%20obtained%20by%20an%20“heuristic”%20regression%20procedure%20(developed%20within%20Minitab%20Environment)%20by%20subsequent%20exclusions%20of%20%20%20factors%
16、20which%20are%20statistically%20less%20significant%20%5b13%5d.%20Such%20procedure%20led%20to%20a%20third%20order%20polynomial%20function%20for%20thinning%20and%20to%20a%20second%20order%20one%20for%20springback%20both%20%20%20providing%20very%20satisfying%20correlation%20index.%20The%20obtained%20eq
17、uations%20were%20tested%20measuring%20the%20prediction%20errors%20derived%20from%20the%20comparison%20between%20the%20predicted%20%20%20values%20of%20t%25%20and%20d%20and%20the%20actual%20numerical%20values;%20such%20tests%20demonstrated%20the%20good%20prediction%20capability%20of%20the%20two%20surf
18、aces.%20Once%20the%20effectiveness%20of%20the%20response%20%20%20surfaces%20was%20tested,%20the%20determination%20of%20Pareto%20optimal%20solutions%20was%20performed.%20The%20technique%20utilized%20to%20determine%20Pareto%20solutions%20was%20the%20%20-constraint%20procedure.%20In%20particular,%20the
19、%20thinning%20function%20was%20chosen%20as%20primary%20function%20to%20be%20optimized%20in%20the%20%20development%20of%20the%20%20-constraint%20method.%20The%20resulting%20Pareto%20curve%20was%20determined%20and%20it%20is%20reported%20in%20Figure%206%20in%20which%20the%20Pareto%20frontier%20is%20ill
20、ustrated%20by%20plotting%20%20%20the%20curve%20%20t%25%20vs.%20d.%20The%20obtained%20frontier%20is%20an%20effective%20design%20tool%20since%20it%20provides%20a%20set%20of%20Pareto%20optimal%20solutions:%20by%20fixing%20a%20desired%20level%20of%20thinning,%20for%20instance,%20it%20is%20possible%20to%
21、20foresee%20which%20minimum%20possible%20level%20of%20springback%20has%20to%20be%20expected.%20%20%20Furthermore,%20some%20points%20belonging%20to%20the%20Pareto%20frontier%20were%20numerically%20reproduced%20(for%20instance,%20see%20points%20from%201%20to%203%20evidenced%20in%20Figure%206).%20The%2
22、0results%20corresponding%20to%20the%20three%20Pareto%20points%20are%20illustrated%20in%20Figure%207%20as%20springback%20is%20concerned%20and%20in%20Figure%208%20as%20thinning%20is%20regarded.%20%20&langpair=en|zh-CN查看字典詳細(xì)內(nèi)容。Numisheet第七次會議發(fā)表,頁503-507,2008。7A.Mangas,A.Arroyo,I.Fernandes,B.Gonzalez:通過基
23、于經(jīng)驗的實驗的優(yōu)化程序提高回彈有限元數(shù)據(jù)模擬。IDDRG會議的會議記錄,頁153-160,2006。8MessacA.,MullurA.A.:一種計算高效率的元建模方法,為昂貴的多目標(biāo)優(yōu)化。優(yōu)化工程,9:37-67,2008。9MarlerT.R.,Chang-HwanK.,AroraJ.S.:使用多目標(biāo)優(yōu)化的辨別系統(tǒng)來簡化復(fù)雜模型。Comput.MethodsAppl.Mech.Engrg,195:4383-4395,2006。10FiratM.:U型通道的形成與回彈變形的重點分析。材料和設(shè)計,28:147-154,2007。11PapeleuxL.,PonthotJ.P.:在金屬板料成形過
24、程中回彈的有限元模擬。兵器材料加工技術(shù),125-126:785-791,2002。12BarlatF.,LianF.J.:塑料板材的成形和拉伸第一部分.在平面應(yīng)力條件下屈服函數(shù)的正交異性表??伤苄缘膰H雜志,5:51-66,1989。13MyersR.H.,MontgomeryD.C.:響應(yīng)曲面法的工藝和使用自行設(shè)計實驗的產(chǎn)品優(yōu)化。JohnWiley和Sons公司,紐約,美國,第二版。2002。8Miskd,Mullurjgunj:Yzhngnggudedumbioyuhujsunxiolgoyunjinmfngf.Yuhugngchng,9:37-67,2008.字典-HYPERLINK.h
25、k/dictionary?source=translation&hl=zh-CN&q=The%20best%20performing%20response%20functions%20were%20obtained%20by%20an%20“heuristic”%20regression%20procedure%20(developed%20within%20Minitab%20Environment)%20by%20subsequent%20exclusions%20of%20%20%20factors%20which%20are%20statistically%20less%20signi
26、ficant%20%5b13%5d.%20Such%20procedure%20led%20to%20a%20third%20order%20polynomial%20function%20for%20thinning%20and%20to%20a%20second%20order%20one%20for%20springback%20both%20%20%20providing%20very%20satisfying%20correlation%20index.%20The%20obtained%20equations%20were%20tested%20measuring%20the%20
27、prediction%20errors%20derived%20from%20the%20comparison%20between%20the%20predicted%20%20%20values%20of%20t%25%20and%20d%20and%20the%20actual%20numerical%20values;%20such%20tests%20demonstrated%20the%20good%20prediction%20capability%20of%20the%20two%20surfaces.%20Once%20the%20effectiveness%20of%20th
28、e%20response%20%20%20surfaces%20was%20tested,%20the%20determination%20of%20Pareto%20optimal%20solutions%20was%20performed.%20The%20technique%20utilized%20to%20determine%20Pareto%20solutions%20was%20the%20%20-constraint%20procedure.%20In%20particular,%20the%20thinning%20function%20was%20chosen%20as%2
29、0primary%20function%20to%20be%20optimized%20in%20the%20%20development%20of%20the%20%20-constraint%20method.%20The%20resulting%20Pareto%20curve%20was%20determined%20and%20it%20is%20reported%20in%20Figure%206%20in%20which%20the%20Pareto%20frontier%20is%20illustrated%20by%20plotting%20%20%20the%20curve
30、%20%20t%25%20vs.%20d.%20The%20obtained%20frontier%20is%20an%20effective%20design%20tool%20since%20it%20provides%20a%20set%20of%20Pareto%20optimal%20solutions:%20by%20fixing%20a%20desired%20level%20of%20thinning,%20for%20instance,%20it%20is%20possible%20to%20foresee%20which%20minimum%20possible%20lev
31、el%20of%20springback%20has%20to%20be%20expected.%20%20%20Furthermore,%20some%20points%20belonging%20to%20the%20Pareto%20frontier%20were%20numerically%20reproduced%20(for%20instance,%20see%20points%20from%201%20to%203%20evidenced%20in%20Figure%206).%20The%20results%20corresponding%20to%20the%20three%
32、20Pareto%20points%20are%20illustrated%20in%20Figure%207%20as%20springback%20is%20concerned%20and%20in%20Figure%208%20as%20thinning%20is%20regarded.%20%20&langpair=en|zh-CN查看字典詳細(xì)內(nèi)容6D:Fshd,gunggn.Xindigoqingdgngdeshzhhudnpngjiciyngxinjndeciliomxng.HuydedqNumisheetchf,y503-507,2008.字典-HYPERLINK.hk/dict
33、ionary?source=translation&hl=zh-CN&q=The%20best%20performing%20response%20functions%20were%20obtained%20by%20an%20“heuristic”%20regression%20procedure%20(developed%20within%20Minitab%20Environment)%20by%20subsequent%20exclusions%20of%20%20%20factors%20which%20are%20statistically%20less%20significant
34、%20%5b13%5d.%20Such%20procedure%20led%20to%20a%20third%20order%20polynomial%20function%20for%20thinning%20and%20to%20a%20second%20order%20one%20for%20springback%20both%20%20%20providing%20very%20satisfying%20correlation%20index.%20The%20obtained%20equations%20were%20tested%20measuring%20the%20predic
35、tion%20errors%20derived%20from%20the%20comparison%20between%20the%20predicted%20%20%20values%20of%20t%25%20and%20d%20and%20the%20actual%20numerical%20values;%20such%20tests%20demonstrated%20the%20good%20prediction%20capability%20of%20the%20two%20surfaces.%20Once%20the%20effectiveness%20of%20the%20response%20%20%20surfaces%20was%20tested,%20the%20determination%20of%20Pareto%20optimal%20solutions%20was%20performed.%20The%20technique%20utilized%20to%20determine%20Pareto%20solutions%20
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