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1、<p> 附錄一:英文文獻(xiàn)翻譯</p><p> 非圓齒輪與機(jī)械壓力機(jī)運(yùn)動(dòng)學(xué)優(yōu)化</p><p> 1997年1月8日研制</p><p> 摘要:使用金屬成形方法來加工生產(chǎn)零件的質(zhì)量很大取決于壓力桿。在機(jī)械壓力傳動(dòng)時(shí),有一種依賴于驅(qū)動(dòng)旋轉(zhuǎn)角度速度比的非圓齒輪,提供了一種獲得這么動(dòng)作時(shí)間的新途徑,我們致力于為不同的優(yōu)化金屬成型運(yùn)作的制造。本文闡述了
2、由漢諾威的大學(xué)研究所建成的金屬成形和金屬成形加工機(jī)床的使用原型原則,它就是目前運(yùn)動(dòng)學(xué)以及在原型產(chǎn)生的力和力矩。此外,本文展示了如何使用拉深和鍛造的一個(gè)例子,幾乎所有的金屬成形操作可有利用于機(jī)械傳動(dòng)機(jī)構(gòu)的非圓齒輪。</p><p> 關(guān)鍵詞:壓力,齒輪,運(yùn)動(dòng)學(xué)。</p><p><b> 1. 簡(jiǎn)介</b></p><p> 提高質(zhì)量的要求
3、在生產(chǎn)工程制造,所有的金屬成形以及在鍛造,有必要去攜手制定生產(chǎn)經(jīng)濟(jì)。日益增長(zhǎng)的市場(chǎng)定位要求技術(shù)和經(jīng)濟(jì)條件都得到滿足。提高質(zhì)量、生產(chǎn)力、生產(chǎn)手段的創(chuàng)新解決方案,是一種用來維持和擴(kuò)大的市場(chǎng)地位的關(guān)鍵所在。</p><p> 所生產(chǎn)的金屬部件,我們需要分清期間所需的形成過程和處理零件所需的時(shí)間。隨著我們必須添加一些必要的額外工作,例如冷卻或潤(rùn)滑的模具一次成型過程。根據(jù)質(zhì)量和產(chǎn)量?jī)蓚€(gè)方面,產(chǎn)生了兩個(gè)最優(yōu)化方法。為了滿足
4、這兩個(gè)方面,我們的任務(wù)是設(shè)計(jì)運(yùn)動(dòng)學(xué)形成過程中考慮到該進(jìn)程的要求,也考慮到的是改變部分以及與一個(gè)優(yōu)先線輔助運(yùn)作所需的時(shí)間短周期的時(shí)間。</p><p><b> 2. 壓力機(jī)的要求</b></p><p> 一個(gè)生產(chǎn)周期,這相當(dāng)于一個(gè)沖程來回壓的過程,大致經(jīng)歷了三個(gè)階段:加載、成型和移除零件。相反,在加載和移除零件階段,我們經(jīng)常發(fā)現(xiàn)送料的薄板,尤其是在純粹的切割時(shí)候
5、。為此,壓力泵必須要一個(gè)確定時(shí)間的最小高度。成型周期中桿應(yīng)該有一個(gè)特別速度曲線,它將會(huì)降到最低。這個(gè)轉(zhuǎn)變期之間應(yīng)盡快來確保短周期時(shí)間。</p><p> 短周期的要求是事件的原因,以確保通過高產(chǎn)量低成本的部分。基于這個(gè)原因,關(guān)于對(duì)大型汽車車身沖壓片機(jī)和自動(dòng)1200/min、拉深24/min的沖程數(shù)是標(biāo)準(zhǔn)的做法。增加沖程數(shù)是為了減少設(shè)計(jì)的周期變化導(dǎo)致增加的壓實(shí)機(jī)械應(yīng)變率, 然而,這對(duì)成形過程有很明顯影響,使它必須
6、考慮參數(shù)確定過程和被它所影響。</p><p> 在拉深成形過程中,當(dāng)敲打板塊時(shí)的撞擊速度應(yīng)盡量避免產(chǎn)生了深遠(yuǎn)影響。一方面,速度成形時(shí)必須充分潤(rùn)滑。另一方面,我們必須要考慮提高產(chǎn)量的相應(yīng)的壓力來增加造成更大的應(yīng)變速率力,這可能導(dǎo)致沖床半徑一側(cè)的一部分過渡疲勞而導(dǎo)致斷裂。在鍛造時(shí),停留時(shí)間短的壓力是可取的。隨著停留時(shí)間的壓力下降了模具的表面溫度將降低,其結(jié)果是熱磨損。這是提高抵消了由于機(jī)械磨損形成更大的力量,但由
7、于增加的應(yīng)變率是較低的,因?yàn)檩^低的部分冷卻屈服應(yīng)力補(bǔ)償。目前,最佳短住壓力可以用有限元分析法萊分析。此外,避免由于成本降低磨損、短壓住時(shí)間也是一個(gè)重要的技術(shù)要求的精密鍛造,近凈形部分有一個(gè)光明的未來。 </p><p> 高質(zhì)量的要求和高產(chǎn)量將只能通過一個(gè)機(jī)技術(shù),考慮到金屬成形過程的考察要求等同于減少工作的目標(biāo)成本。以前按設(shè)計(jì)已經(jīng)不能同時(shí)滿足這些技術(shù)要求和經(jīng)濟(jì)的充分程度,或他們是非常昂貴的設(shè)計(jì)和制造,例如鏈接驅(qū)
8、動(dòng)壓力機(jī)。這就需要尋找對(duì)泵創(chuàng)新設(shè)計(jì)的解決方案,它的設(shè)計(jì)應(yīng)主要標(biāo)準(zhǔn)化,模塊化,以降低成本。</p><p> 3.非圓齒輪的壓力傳動(dòng)</p><p><b> 3.1 原則</b></p><p> 使用非圓齒輪傳動(dòng)機(jī)械曲柄壓力機(jī),它提供了一種新方式的技術(shù)和經(jīng)濟(jì)需求的壓力桿運(yùn)動(dòng)。一對(duì)非圓齒輪有不變的中心距, 因此采用了電動(dòng)馬達(dá),或由飛輪、曲
9、柄和驅(qū)動(dòng)機(jī)制本身。制服驅(qū)動(dòng)器的速度傳送是通過一對(duì)非圓齒輪傳遞給非均勻的偏心軸。如果非圓齒輪的適當(dāng)設(shè)計(jì),從動(dòng)齒輪的非均勻驅(qū)動(dòng)器會(huì)導(dǎo)致泵所需的行程時(shí)間行為。調(diào)查中心的金屬成形和金屬成型機(jī)床(IFUM)漢諾威的大學(xué)已經(jīng)表明,在這個(gè)簡(jiǎn)單的方式所有相關(guān)的壓力桿的連續(xù)運(yùn)動(dòng),可以達(dá)到各種成形過程。</p><p> 此外從運(yùn)動(dòng)學(xué)和縮短生產(chǎn)周期,驅(qū)動(dòng)概念導(dǎo)致新的驅(qū)動(dòng)器的優(yōu)點(diǎn)被以下的良好性能所區(qū)分。因?yàn)樗且粋€(gè)機(jī)械壓力機(jī),它具有
10、高可靠性、低維護(hù)性和可預(yù)期性。對(duì)連桿壓力機(jī)的數(shù)量和軸承零件顯然是減少。首先,一個(gè)基本泵類型可以通過安裝不同的齒輪而進(jìn)一步改變?cè)O(shè)計(jì),它根據(jù)客戶的要求而設(shè)計(jì)。不同環(huán)節(jié)的驅(qū)動(dòng)器,軸承的安裝位置不會(huì)隨著單一載荷方向的不同運(yùn)動(dòng)而改變。因此,上述要求的模塊化和標(biāo)準(zhǔn)化是考慮到時(shí)間和成本,它降低了設(shè)計(jì)和沖壓生產(chǎn)成本。</p><p><b> 3.2 原型</b></p><p>
11、 在金屬成型和金屬成型工具機(jī)(IFUM)1架的c型泵,它已經(jīng)進(jìn)行了修整和安裝了非圓齒輪副。為達(dá)到這種目的,先前的背輪背一個(gè)行星齒輪組做取代。這項(xiàng)工作表明了存在的新型傳動(dòng)印刷機(jī)是可能的,在最后對(duì)標(biāo)準(zhǔn)壓力泵的改造在Fig. 1中進(jìn)行說明。</p><p> 圖表1 壓力機(jī)設(shè)計(jì)是為了所受1000KN的柱塞力和200KN的沖壓模具緩沖力。 這一對(duì)非圓齒輪傳動(dòng)比平均為1,每個(gè)齒輪輪齒有59,直齒,模數(shù)10mm(圖2)齒
12、面寬是150mm,這些齒輪有漸開線輪齒。我假設(shè)了非圓曲線設(shè)計(jì)是以側(cè)面幾何設(shè)計(jì)為基礎(chǔ)。因此,一個(gè)非圓齒輪的齒形沿齒輪圓周而改變。盡管如此,它可以來自知名的梯形齒條. 然而[4.5],提出了一種計(jì)算方法,它精確地把齒頂高和齒根高考慮在內(nèi),進(jìn)行相應(yīng)的調(diào)整。</p><p> 壓力機(jī)是為了在單一沖程模式下對(duì)零件進(jìn)行深拉而設(shè)計(jì)的。最高滑塊行程為180mm,行程數(shù)32/min。在140毫米的沖壓速度幾乎保持71mm/s不變
13、,它是靜點(diǎn)中心線到靜點(diǎn)中心線之前的速度。見圖3。這種速度就相當(dāng)于液壓機(jī)工作的速度。這個(gè)速度影響到曲柄機(jī)構(gòu),使其與擊打具有相同的數(shù)目相比較,速度都是220m/。為了跟一個(gè)曲柄壓力機(jī)具有相同的平均速度擊打的數(shù)目不得不將減少一半。短周期內(nèi)的機(jī)械改造將導(dǎo)致最后的向上運(yùn)動(dòng)。由于壓力機(jī)是運(yùn)行在單一的操作模式,在設(shè)計(jì)時(shí)對(duì)其做相關(guān)的處理沒有提出特別的要求。</p><p> 驅(qū)動(dòng)機(jī)制的原型與非圓齒輪有另外一個(gè)有利的影響及其驅(qū)動(dòng)
14、力矩(圖4)。對(duì)于一個(gè)曲柄壓力機(jī)的公稱力通??梢越档挽o點(diǎn)之前把曲柄軸按正常方式旋轉(zhuǎn)。這對(duì)應(yīng)于公稱力作用下相對(duì)于擊打力的75%。若要達(dá)到1000kN標(biāo)準(zhǔn)力,該驅(qū)動(dòng)器已提供45 kNm 的曲柄軸扭矩。該原型只要求對(duì)非圓齒輪傳動(dòng)增加額外的30kNm力矩。他們被傳送一個(gè)循環(huán),非均勻的曲柄轉(zhuǎn)矩,將導(dǎo)致一個(gè)標(biāo)準(zhǔn)力在靜點(diǎn)范圍內(nèi)變化。這相當(dāng)于27.5%的行程。如果非圓齒輪副是在壓力機(jī)的工作范圍,我們總能找到類似的條件。這幾乎總是與板料成形及沖壓件有關(guān)。
15、這樣可以設(shè)計(jì)一些較弱的機(jī)器零件,而且節(jié)約成本。</p><p> 4. 進(jìn)一步的設(shè)計(jì)實(shí)例</p><p> 利用二沖程時(shí)間行為的設(shè)計(jì)實(shí)例說明了以下幾點(diǎn)。假設(shè)一系列的零件時(shí)通過壓力機(jī)來加工的。為了達(dá)到這一目的,壓力桿所需的速度和擊打成形速度要求假設(shè)成立必須量化。再者,處理零件所需的時(shí)間必須確定,而且必須假設(shè)在處理時(shí)壓力桿的最小高度。由此,我們?cè)O(shè)計(jì)動(dòng)作的順序,我們用數(shù)學(xué)含義來描述它。在IF
16、UM中,由該研究所開發(fā)使用軟件程序。從這個(gè)數(shù)學(xué)描述的沖程運(yùn)動(dòng),我們可以計(jì)算出所需要的非圓齒輪速度比,從這我們可以得到齒輪的圓周曲線[1.2.7]。</p><p> 在第一個(gè)例子,在深拉伸沖壓速度應(yīng)該是在靜止點(diǎn)前,金屬板材成形保持在至少超過100mm,它的速度應(yīng)該是約400m/s。讓行程數(shù)定為30/min。第450mm以上擊打的地方,讓處理零件時(shí)間和曲柄壓力機(jī)在25min/n的擊打時(shí)間相同。圖5表明了沖程運(yùn)動(dòng)情
17、況,這是由一對(duì)齒輪的描繪所獲得。該齒輪是通過他們的圓周率所描繪。在25/min傳統(tǒng)的余弦曲線作為比較。除了生產(chǎn)周期時(shí)間減少了20%,應(yīng)把桿速度的影響也大大減少。下靜點(diǎn)前110mm,當(dāng)使用曲柄機(jī)構(gòu)時(shí),沖擊速度為700mm/s,而當(dāng)使用非圓齒輪時(shí)僅僅只有410mm/s。</p><p> 第二個(gè)例子顯示了驅(qū)動(dòng)裝置是用于鍛造。在圖6中,常規(guī)鍛造曲軸的行程時(shí)間是相對(duì)于在圖片中說明非圓齒輪壓力運(yùn)動(dòng)學(xué)。曲柄壓力機(jī)的周期時(shí)間
18、是0.7s、行程數(shù)是85/min和標(biāo)準(zhǔn)力是20mn。它的保壓時(shí)間為86ms與50mm的成形部份時(shí)間。非圓齒輪壓力機(jī)描繪的保壓描繪時(shí)間67%減少至28ms。因此,它達(dá)到了和錘子一樣的幅度。通過增加1.5倍的沖程數(shù),周期時(shí)間縮短至46mm。盡管如此,處理時(shí)間依舊與常規(guī)非圓齒輪曲柄壓力機(jī)的運(yùn)動(dòng)學(xué)相同。在這種情況下為了實(shí)現(xiàn)這些運(yùn)動(dòng),傳統(tǒng)的圓弧齒輪可以作為驅(qū)動(dòng)裝置,安排偏心。這為齒輪制造降低了成本。</p><p> 這
19、些例子表明,不同的運(yùn)動(dòng)可以通過使用非圓齒輪驅(qū)動(dòng)裝置實(shí)現(xiàn)。在同一時(shí)間內(nèi),這個(gè)驅(qū)動(dòng)器的實(shí)用潛力用實(shí)現(xiàn)理想的運(yùn)動(dòng)學(xué)變得清晰,而且生產(chǎn)周期時(shí)間減少。例如,通過不同的例子,如果運(yùn)動(dòng)的順序?qū)σ幌盗袎毫C(jī)生產(chǎn)零件有利,可能增加拉深成形后的速度。</p><p><b> 5.總結(jié)</b></p><p> 高生產(chǎn)率,降低成本和保證產(chǎn)品質(zhì)量的高要求,這時(shí)所有制造公司所期望的,特別
20、適用于公司的金屬加工領(lǐng)域。這種情況導(dǎo)致我們重新考慮壓力傳動(dòng)機(jī)的使用。</p><p> 對(duì)曲柄與非圓齒輪傳動(dòng)壓力機(jī)的描述,使我們能夠優(yōu)化簡(jiǎn)單的機(jī)械壓力機(jī)運(yùn)動(dòng)學(xué)。這意味著周期時(shí)間縮短,以達(dá)到高生產(chǎn)率和運(yùn)動(dòng)學(xué)的成形工藝的要求。這個(gè)設(shè)計(jì)工作需要很低。相對(duì)于多連桿壓力機(jī)驅(qū)動(dòng)器,可以實(shí)現(xiàn)其他運(yùn)動(dòng)學(xué)在其他齒輪軸承位置不改變時(shí)的壓力機(jī)構(gòu)建使用。這使壓力機(jī)模塊化和標(biāo)準(zhǔn)化。</p><p><b&g
21、t; 6.致謝</b></p><p> 作者想表達(dá)他們的謝意,感謝德國(guó)機(jī)床制造商協(xié)會(huì)(VDW),位于德國(guó)法蘭克福,其經(jīng)濟(jì)援助以及一些成員,感謝他們的支持。</p><p> 附錄二:英文文獻(xiàn)原文</p><p> Optimized Kinematics of Mechanical Presses with Noncircular Gears&
22、lt;/p><p> E. Doege ( l ) , M. Hindersmann</p><p> Received on January 8, 1997</p><p> Abstract:The quality of parts manufactured using metal forming operations depends to a large d
23、egree on the kinematics of the press ram. Non-circular gearsy to obtain those stroke-time behaviours we aim at as an optimum for the various metal forming ope with a rotational-angle-dependent speed ratio in the press dr
24、ive mechanism offer a new wa rations in terms of manufacturing. The paper explains the principle using a prototype press which was built by the Institute for Metal Forming and Metal Form</p><p> Keywords: P
25、ress, Gear, Kinematics</p><p> 1 lntroductior</p><p> Increasing demands on quality in all areas of manufacturing engineering, in sheet metal forming as well as in forging, go hand in hand wit
26、h the necessity to make production economical. Increasing market orientation requires that both technological and economic requirements be met. The improvement of quality, productivity and output by means of innovative s
27、olutions is one of the keys to maintaining and extending one's market position.In the production of parts by metal forming, we need to disting</p><p> With some forming processes we have to add time for
28、 necessary additional work such as cooling or lubrication of the dies. This yields two methods of optimization, according to the two aspects of quality and output. In order to satisfy both aspects, the task is to design
29、the kinematics taking into account the requirements of the process during forming; also to be considered is the time required for changing the part as well as for auxiliary operations in line with the priority of a short
30、 cycle ti</p><p> 2 Pressing Machine Requirements</p><p> One manufacturing cycle, which corresponds to one stroke of the press goes through three stages: loading,forming and removing the part
31、. Instead of the loading and removal stages we often find feeding the sheet, especially in sheer cutting. For this, the press ram must have a minimum height for a certain time. During the forming period the ram should ha
32、ve a particular velocity curve,which will be gone into below. The transitions between the periods should take place as quickly as possible to ensu</p><p> In deep drawing operations, the velocity of impact
33、when striking the sheet should be as low as possible to avoid the impact. On the one hand, velocity during forming must be sufficient for lubrication. On the other hand, we have to consider the rise in the yield stress c
34、orresponding to an increase in the strain rate which creates greater forces and which may cause fractures at the transition from the punch radius to the side wall of the part.</p><p> In forging, short pres
35、sure dwell time is desirable. As the pressure dwell time drops the die surface temperature goes down and as a result the thermal wear This is counteracted by the enhanced mechanical wear due to the greater forming force,
36、 but the increase due to the strain rate is compensated by lower yield stress because of the lower cooling of the part. The optimal short pressure dwell can nowadays be determined quantitatively using the finite element
37、method [3]. In addition to cost avoida</p><p> The requirements of high part quality and high output will only be met by a machine technology which takes into account the demands of the metal forming proces
38、s in equal measure to the goal of decreasing work production costs. Previous press designs have not simultaneously met these technological and economical requirements to a sufficient extent, or they are very costly to de
39、sign and</p><p> manufacture, such as presses with link drives [6]. This makes it necessary to look for innovative solutions for the design of the press. Its design should be largely standardized and modula
40、rized in order to reduce costs [6].</p><p> Fig 1. Prototype press</p><p> 3 Press Drive with Noncircular Gears</p><p> 3.1 Principle</p><p> The use of non-circula
41、r gears in the drive of mechanical crank presses offers a new way of meeting the technological and economic demands on the kinematics of the press ram. A pair of non-circular gears with a constant center distance is thus
42、 powered by the electric motor, or by the fly wheel, and drives the crank mechanism itself.The uniform drive speed is transmitted cyclically and</p><p> non-uniformly to the eccentric shaft by the pair of n
43、oncircular gears. If the non-circular gear wheels are suitably designed, the non-uniform drive of the driven gear leads to the desired stroke-time behaviour of the ram. Investigations at the Institute for Metal Forming a
44、nd Metal Forming Machine Tools (IFUM) of Hanover University have shown that in this simple manner all the relevant uninterrupted motions of the ram can be achieved for various forming processes [2].</p><p>
45、 Apart from, the advantages of the new drive, which result from the kinematics and the shortened cycle time, the drive concept is distinguished by the following favourable propertties. Because it is a mechanical press, h
46、igh reliability and low maintenance may be expected. In comparision to linkage presses the number of parts and bearings is clearly reduced. Above all, a basic press type can be varied without further design changes by in
47、stalling different pairs of gears, designed according to the </p><p> of the customer. Unlike link drives, bearing locations and installations do not change within one load</p><p> class as a
48、result of different kinematics. Thus the above mentioned requirement of modularization and standardization is taken into account Reductions in time and costs are possible for the design and press manufacture.</p>
49、<p> 3.2 Prototype</p><p> At the Institute for Metal Forming and Metal Forming Machine Tools (IFUM) a C-frame press has been remodeled and a pair of non-circular gears was installed. The previous bac
50、kgears were replaced by a planetary gear set for this purpose. The work carried out shows that remodeling of existing presses for the new drive is possible. The state of the press at the end of the remodelling is shown i
51、n fiqure 1. The press is designed for a nominal ram force of 1,000 kN and 200 kN of the die cushion. The ce</p><p> Fig. 2 View of the gears from the rear</p><p> The press is designed for dee
52、p drawing of flat parts in single stroke operation mode. The maximum ram stroke is 180 mm, the number of strokes 32/min. At a stroke of 140 mm the ram velocity almost remains constant 71 mmls from 60 mm before lower dead
53、 center until lower dead center, see fiqure 3. Thus the velocity corresponds to the working velocity of hydraulic presses. The velocity of incidence of a crank mechanism with the same number of strokes would be 220 mmls,
54、 in comparison. In order to kee</p><p> cycle time of the remodelled machine results from the fast upward motion. Because the press is run in single stroke operation mode, no particular requirements were ma
55、de concerning handling time during design.</p><p> The drive mechanism of the prototype with non-circular gears has in addition a favourable effect on the ram forces and the driving torques (ficlure 4). For
56、 a crank press the nominal force is normally available at 30" rotation of the crank shaft before the lower dead center. This corresponds to a section under nominal force of only 7 5% relative to the stroke. To reach
57、 the nominal force of 1,000 kN, the drive has to supply a torque of 45 kNm at the crank shaft. The prototype only requires 30 kNm </p><p> 4 Further Design Examples</p><p> Using the examples
58、of two stroke-time behaviours the design is illustrated in the following. A range of parts is assumed which are to be manufactured by the press. For this purpose the ram velocity requirements and the forming section of t
59、he assumed stroke need to be quantified.Furthermore, the time needed for the handling of the part needs to be determined, and also the minimum height which the ram has to assume during the handling. From this, we design
60、the sequence of movements, and we describ</p><p> it mathematically. At the IFUM, a software program developed by the institute is used. From this mathematical description of the stroke-time behaviour we ca
61、n calculate the speed ratio of the non-circular gears needed.From this we obtain the rollcurves of the gears [l, 2, 7].</p><p> In a first example the ram velocity in deep drawing is supposed to be constant
62、 during the sheet metal forming at least over 100 mm before the lower dead center and it is supposed to be about 400mm/s. Let the number of strokes be fixed at 30/min. Above 450mm section of stroke, let the time for the
63、handling of the part be the same as for a comparable crank press with 25 strokes per minute. Fiqure 5 shows the stroke-time behaviour , which is attained by the sketched pair of gears. The gear wheels a</p><p&
64、gt; A second example shows a drive mechanism as is used for forging. In fioure 6, stroke-time behaviour of a conventional forging crank press is compared with the kinematics of the press with non-circular gears illustra
65、ted in the picture.The cycle time of the crank press is 0.7 s, the number of strokes is 85/min and the nominal force is 20 MN.Its pressure dwell time is 86 ms with a forming section of 50 mm. The pressure dwell of the pr
66、ess depicted with non-circular gears decreases by 67% to 28 ms. I</p><p> 5 Conclusions</p><p> The requirements of high productivity, reduced costs and the guarantee of high product quality t
67、o which all manufacturing companies are exposed, applies particularly to companies in the field of metal working. This situation leads us to reconsider the press drive mechanism in use up to now.</p><p> Th
68、e new drive for crank presses with non-circular gears described here allows us to optimize the kinematics of simple mechanical presses. This means that the cycle time is shortened to achieve high productivity and the kin
69、ematics follows the requirements of the forming process.The design effort needed is low. In contrast to presses with link drives, other kinematics can be achieved during the construction of the press by using other gears
70、 without changing bearing locations This allows the modula</p><p> 6 Acknowledgement</p><p> The authors would like to express their appreciation to the German Machine Tool Builders Associatio
71、n (VDW), located in FrankfurVGermany, for its financial assistance and to some members for their active support.</p><p> 7 References</p><p> [ I ] Bernard, J., 1992, Optimization of Mechanism
72、 Timing Using Noncircular Gearing, Mechanical Design and Synthesis, Vol. 46, p. 565-570.</p><p> [2] Doege, E., Hindersmann, M., 1996, Fertigungsgerechte Kurbelpressenkinematik durch Unrundzahnrader. VDI-Z
73、Special Antriebstechnik 1/96, p. 74-77.</p><p> [31 Doege, E., Nagele, H., 1994, FE-Simulation of the Precision Forging Process of Bevel Gears, Annals of the CIRP, Vol. 43, p. 241-244.</p><p>
74、 [4] Hindersmann, M., Betke, V., 1996, Unrunde Zahnrader- ein wiederentdecktes Maschinenelement, Konstruktion, Vol. 48, p. 256-262.</p><p> [5] Litvin, F. L.: 1994, Gear qeometrv and applied theory,PTR Pren
75、tice Hall, Englewood Cliffs (NJ, U.S.A.).</p><p> [6] Niemitz, D., 1992, Anforderungen an Grof3raumstufenpressen;Pflichtenheft fur die Auftragsvergabe. In:Blechbearbeitung '92, Int. Congress 27 -28.0ct.
76、1992,VDI-Bericht, Vol. 946, p.231-253.</p><p> [7] Ogawa. K., Yokoyama, Y., Koshiba, T., 1973, Studies on the Noncircular Planetary Gear Mechanisms with Nonuniform Motion, Bulletin of the JSME, Vol. 16. p.
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