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上傳時間：2021-02-04
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認證信息
個人認證
崔**（實名認證）
遼寧
IP屬地：遼寧
15
積分
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瓶蓋
設計
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瓶蓋機的設計,瓶蓋,設計
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英文原文Screw Compressors2.4 Review of Most Popular Rotor Profiles2.3 Rotor Profile CalculationFor a further analysis of the compressor geometry, several generic definitions are introduced here. The rotor gear ratio ,whereandare the numbers of lobes on the main and gate rotor. Since the screw compressor rotors are three-dimensional bodies, a helix angleis defined at the rotor radius, whilecorresponds to the pitch circle,. The helix angle defines the rotor lead h, which can be given relative to the unit angle. The rotor length L, the wrap angleand the lead are interrelated. If the rotors are unwrapped, a simple relation between the wrap and helix angles can be established,. The lead angle is the complement of the helix angle. As shown in Fig. 2.3, the rotor displacement is the product of the rotor length and its cross section area, which is denoted by the number 1, while the overlapping areas on the main and gate rotors are denoted by the number 2.2.4 Review of Most Popular Rotor ProfilesThis section reviews a procedure to calculate various screw profiles. Initially a detailed presentation of rotor creation by the rotor generation procedure is given. The rotor profile in this case is a very simple hypothetical one. It has been applied in practice, but also been frequently used for training purposes. Furthermore, this profile may be very conveniently used as a basis for individual development of screw compressor rotors and such use is encouraged here. Based on this, other profiles are briefly derived, like the early SKBK profile, the “Sigma” profile by Kaeser, the “Hyper” profile by Hanbel and the Fu Sheng and Hitachi profiles. Also the symmetric profile and asymmetricFig. 2.3. Rotor cross section area and overlapping sectors2 Screw Compressor Geometry“A”, “D” and “G” profiles of SRM and the “Cyclon” profile by Compair are reviewed. Finally, two rack generated profiles are described namely the “N” and Rinders profile.2.4.1 Demonstrator Rotor Profile (“N” Rotor Generated)The demonstrator profile is a rotor generated “N” profile and is not to be confused with the patented rack generated “N” profile. The primary or generating lobe profile of the Demonstrator is given on the main rotor and the profile is divided into several segments. The division between the profile segments is denoted by capital letters and each segment is defined separately by its characteristic angles, as shown in the Fig. 2.4. The lobe segments of this profile are essentially parts of circles on one rotor and curves corresponding to the circles on the opposite rotor. A graphical presentation of this profile is presented in Fig. 2.5. The following summarizes the specific expressions for the x-y coordinates of the lobe profiles of the main screw rotor, with respect to the centre of the rotor. Givenare the pitch radii,andand the rotor radii r, ,and. The external and internal radii are calculated asand,as well asandfor the main and gate rotor respectively.In the demonstrator profile, segment A1B1 is a circle of radius on the main rotor. The angular parameter t varies between.Fig. 2.4. Demonstrator Profile2.4 Review of Most Popular Rotor ProfilesFig. 2.5. Details of the Demonstrator Profileis given, while and are calculated through the following procedure, which is presented graphically in Fig. 2.5. There the flat side of the profile is presented in the position where points F1 and F2 coincide:Afterandare obtained from these equations,andcan be calculated as:The other angles are:and. On the round side of the rotors, whereis the number of lobes in the main rotor. The radiusis now calculated from:Other necessary angles are calculated as follows:The segment B1C1 is on a circle of radius on the main rotor, where.2 Screw Compressor GeometryProfile portion A1D1 is a circle of radiuson the main rotor,.Segment C1D1 emerges as a trochoid on the main rotor generated by the circle of radius. The trochoid is obtained from the gate rotor coordinates through the same meshing procedure. The circle C2D2 is:Now, when all the segments of the main rotor are known, they are used as source curves. The gate rotor lobe can now be generated completely by the meshing procedure described in the previous section.Although essentially simple, the Demonstrator profile contains all the features which characterize modern screw rotor profiles. The pressure angles on both, the flat and the round profile lobes are not zero. This is essential for successful manufacturing. The profile is generated by the curves and not by points. This further enhances its manufacturability. By changing its parameters,C, r,and, a variety of profiles can be generated, some with positive gate rotor torque, some suitable for low pressure ratios, and others for high pressure ratio compression. The profile is fully computerized and can be used for demonstration, teaching and development purposes.2.4.2 SKBK ProfileAmosovs 1977 SKBK profile is the first modern Russian profile to be published in the open literature and it is shown in Fig. 2.6. The profile has the same layout and sequence of segments as the Demonstrator profile apart from the fact that the circlesandthe substituted by cycloids and the segments AB and AF are generated by point generation. This can be readily achieved if andin the Demonstrator profile tend to zero.Similarly to the Demonstrator profile, SKBK profile has an eccentric circle on the round lobe of the main rotor, which gives a pressure angle far different from zero in the pitch circle area. This further ensures both its ease of manufacture and the gate rotor torque stability. This characteristic of the SKBK profile was published at least five years prior the SRM “D” rotor patents which claimed the same feature. However, since the flat lobe sides on the main and gate rotors are generated by points E and A on the gate and main rotor respectively and since E is positioned on the gate rotor pitch circle, the pressure angle at the pitch circle on the flat side is zero. This does not allow manufacturing of this profile by milling or grinding unless the profile is modified.2.4 Review of Most Popular Rotor ProfilesFig. 2.6. SKBK ProfileFig. 2.7. Fu Sheng Profile2.4.3 Fu Sheng ProfileThe Fu Sheng profile, as shown in Fig. 2.7, is practically the same as the Demonstrator, but has one distinguishing feature. The segment AB is an ellipse.2.4.4 “Hyper” ProfileThe “Hyper” profile is virtually the same as the Fu Sheng profile, apart from the segment AB, which is a hyperbola on the main rotor instead of the ellipse of the original Fu Sheng profile. However, despite such a small difference, the “Hyper” is a better profile giving larger screw compressor displacement, a shorter sealing line and stronger gate rotor lobes. The Hitachi profile has the same layout as the “Hyper” profile.2 Screw Compressor Geometry2.4.5 “Sigma” ProfileThe “Sigma” is a relatively old profile. It was developed in the late nineteen seventies as a response to SRM awarding an exclusive licence to Aerzener in Germany. Other German manufacturers, such as GHH and Kaeser, therefore, needed to develop their own profiles. The “Sigma”, shown in Fig. 2.8 is a beautiful and efficient profile. However, new and better profiles are now available. The flat side of the “Sigma” lobe is the same as that of the Demonstrator profile, but the round side of the profile is generated from the flat side by an envelope of circles, which touch both the flat and the round sides, the radii of which are given in advance. This is an acceptable method of profile generation if nothing more general is known, but seriously limits the generation procedure. There are several modifications of the “Sigma” profile. One of these, which is presented here, comprises a straight line BC2 on the round side of the gate rotor. This modification significantly improves the profile, which is less limited than the original.Fig. 2.8. Sigma Profile2.4.6 “Cyclon” ProfileThe “Cyclon” shown in Fig. 2.9 is a profile developed by Compair. The layout and sequence of profile segments are not so different from the Demonstrator, but the “Cyclon” introduces parabolae instead of circles in segments BC, GH and JH. One of the interesting features of the “Cyclon” profile is the “negative” torque on the gate rotor which results in rotor contact on the flat side of the rotors.2.4 Review of Most Popular Rotor ProfilesFig. 2.9. Cyclon Profile2.4.7 Symmetric ProfileThe Symmetric profile, shown in Fig. 2.10 is very simple and consists of three circles on the main rotor with centres positioned either on the rotor centre or on the pitch circle of the main rotor. Since the circles are on the main rotor with centres either at the rotor centre or on the pitch circle, they only generate circles on the gate rotor with centres either in the rotor centre, or on the rotor pitch circle. Is is therefore not surprising that this was the first screw rotor profile ever generated.Segment D1E1 is a circle of radiuswith its centre on the rotor axis, while segment E1F1 is a circle of radius r0. Segment F1A1 is on a circle of radius r. Both, the last two segments have their centres on the rotor pitch circle. Further segments are symmetrically similar to the given ones.Fig. 2.10. Symmetric Circular Profile中文譯文螺桿式壓縮機2.4審查最流行的轉(zhuǎn)子型線2.3轉(zhuǎn)子型線的計算為了進一步分析的壓縮機的幾何形狀，幾個通用的定義這里介紹的。轉(zhuǎn)子的傳動比為，其中和為數(shù)字上的主，閘轉(zhuǎn)子的裂片。由于螺桿壓縮機轉(zhuǎn)子三維機構(gòu)的螺旋角被限定在轉(zhuǎn)子的半徑，而對應的節(jié)圓，。螺旋線角度定義轉(zhuǎn)子引線h，這可以給定的相對的單位角度。在轉(zhuǎn)子的長度L，包角和引線是相互關(guān)聯(lián)的。如果轉(zhuǎn)子被解開，一個簡單的包之間的關(guān)系和螺旋角可以建立,。導程角為螺旋角的補。如圖中所示2.3，轉(zhuǎn)子的位移是所述轉(zhuǎn)子的產(chǎn)品長度和其橫截面面積，這是由數(shù)字1表示，而重疊區(qū)域上的主轉(zhuǎn)子和閘轉(zhuǎn)子的由數(shù)字2表示。2.4審查最流行的轉(zhuǎn)子型線本節(jié)審查程序，計算各種規(guī)格型材。最初轉(zhuǎn)子由轉(zhuǎn)子產(chǎn)生過程的創(chuàng)建是一個詳細的介紹給定的。在這種情況下，轉(zhuǎn)子型線是一個非常簡單的假設性。它有在實踐中得到了應用，但也經(jīng)常被用于訓練目的。此外，此配置文件可以很方便地使用個人的基礎(chǔ)螺桿壓縮機轉(zhuǎn)子的發(fā)展，這種鼓勵在這里。在此基礎(chǔ)上，其他的配置文件簡單地得出， 像早期SKBK中的個人主頁上，由凱撒“西格瑪”配置文件，“超”配置文件Hanbel和傅盛和日立的配置文件。此外，對稱的輪廓不對稱。圖.2.3.轉(zhuǎn)子的橫截面面積和重疊的扇區(qū)2螺桿式壓縮幾何“A”，“D”，“G”配置文件SRM的“CYCLON”配置文件康普艾綜述。最后，即兩個機架生成的配置文件中描述的“N”Rinder的個人資料。2.4.1演示轉(zhuǎn)子型線（“N”轉(zhuǎn)子生成）示威者個人資料的轉(zhuǎn)子產(chǎn)生的“ N”配置文件，是不是要擁有專利的機架產(chǎn)生的“N”配置文件相混淆。的主要或生成葉的主旋翼和配置文件的演示中，分成若干段。該部門的檔案分部之間用大寫字母表示，每個段分別定義其特性的角度，如在圖中所示。 2.4。葉段，這配置文件本質(zhì)上是一個轉(zhuǎn)子的圓形和曲線對應的相反的轉(zhuǎn)子上的圓圈。在此檔案中呈現(xiàn)的圖形化表示。2.5下面總結(jié)的具體表達式的xy坐標的波瓣的公司的的主螺桿轉(zhuǎn)子，相對于轉(zhuǎn)子的中心。特定的間距半徑，和和轉(zhuǎn)子的半徑r,，和的。“和的內(nèi)部和外部半徑的計算公式為，以及和中的主要和閘轉(zhuǎn)子分別。在示威者配置文件中，段A1B1是一個圓的半徑主旋翼。的角度參數(shù)t的變化之間的時。圖.2.4.演示簡介2.4審查最流行的轉(zhuǎn)子型線圖.2.5.詳細的演示簡介給出，而和是通過以下步驟計算顯示于圖.2.5在那里側(cè)扁的檔案呈列點F1和F2的位置相吻合：和后得到的這些公式，可以計算和如：其他的角度是：和。圓方的轉(zhuǎn)子，是多少在主旋翼的裂片。半徑現(xiàn)在的計算：其他必要的角度的計算方法如下：B1C1是一個圓的半徑的主旋翼的部分，其中。2螺桿式壓縮機幾何簡介部分A1D1是一個圓的半徑的主旋翼，。段C1D1出現(xiàn)作為所產(chǎn)生的主轉(zhuǎn)子上的次擺線型閘轉(zhuǎn)子上的圓的半徑,。余擺線通過從閘轉(zhuǎn)子坐標得到相同的嚙合過程。圈C2D2是：現(xiàn)在是已知的，當所有的段的主旋翼，它們被用作源曲線。閘轉(zhuǎn)子瓣現(xiàn)在可以生成完全由嚙合在前一節(jié)中所述的方法。雖然基本上是簡單的，演示配置文件中包含的所有功能現(xiàn)代化的螺桿轉(zhuǎn)子型線的特點。上的壓力角兩者的平的和圓形的輪廓裂片不為零。這是必不可少的成功的制造。中所產(chǎn)生的曲線，而不是由點。這進一步提高了它的制造。通過改變它的參數(shù),C，r,和，可以生成各種型材，一些與正閘轉(zhuǎn)子扭矩，一些合適的低的壓力比，以及其他的高壓比例壓縮。配置文件是完全電腦化，并能可用于演示，教學和發(fā)展的目的。2.4.2SKBK簡介Amosov “1977年SKBK”配置文件是俄羅斯第一屆現(xiàn)代個人資料予以公布在公開文獻中，并示于圖.2.6。該配置文件的段的演示配置文件除了相同的布局和順序的事實,和的圓圈的取代由擺線和段AB和AF所產(chǎn)生的點生成。這可以很容易地實現(xiàn)如果和
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