TWI670418B - Spiral vacuum pump - Google Patents

Spiral vacuum pump Download PDF

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TWI670418B
TWI670418B TW104143172A TW104143172A TWI670418B TW I670418 B TWI670418 B TW I670418B TW 104143172 A TW104143172 A TW 104143172A TW 104143172 A TW104143172 A TW 104143172A TW I670418 B TWI670418 B TW I670418B
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spiral
pair
rotors
helical
rotation
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TW104143172A
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TW201634812A (en
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田中智成
鈴木敏生
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日商愛發科股份有限公司
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    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F04POSITIVE - DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS FOR LIQUIDS OR ELASTIC FLUIDS
    • F04CROTARY-PISTON, OR OSCILLATING-PISTON, POSITIVE-DISPLACEMENT MACHINES FOR LIQUIDS; ROTARY-PISTON, OR OSCILLATING-PISTON, POSITIVE-DISPLACEMENT PUMPS
    • F04C18/00Rotary-piston pumps specially adapted for elastic fluids
    • F04C18/08Rotary-piston pumps specially adapted for elastic fluids of intermeshing-engagement type, i.e. with engagement of co-operating members similar to that of toothed gearing
    • F04C18/12Rotary-piston pumps specially adapted for elastic fluids of intermeshing-engagement type, i.e. with engagement of co-operating members similar to that of toothed gearing of other than internal-axis type
    • F04C18/14Rotary-piston pumps specially adapted for elastic fluids of intermeshing-engagement type, i.e. with engagement of co-operating members similar to that of toothed gearing of other than internal-axis type with toothed rotary pistons
    • F04C18/16Rotary-piston pumps specially adapted for elastic fluids of intermeshing-engagement type, i.e. with engagement of co-operating members similar to that of toothed gearing of other than internal-axis type with toothed rotary pistons with helical teeth, e.g. chevron-shaped, screw type
    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F04POSITIVE - DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS FOR LIQUIDS OR ELASTIC FLUIDS
    • F04CROTARY-PISTON, OR OSCILLATING-PISTON, POSITIVE-DISPLACEMENT MACHINES FOR LIQUIDS; ROTARY-PISTON, OR OSCILLATING-PISTON, POSITIVE-DISPLACEMENT PUMPS
    • F04C25/00Adaptations of pumps for special use of pumps for elastic fluids
    • F04C25/02Adaptations of pumps for special use of pumps for elastic fluids for producing high vacuum

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  • Engineering & Computer Science (AREA)
  • Mechanical Engineering (AREA)
  • General Engineering & Computer Science (AREA)
  • Applications Or Details Of Rotary Compressors (AREA)

Abstract

在具備一對的螺旋轉子的螺旋真空泵浦,構成螺旋齒的軸直角剖面形狀的曲線的一者以外旋輪線而創成時,兩螺旋轉子的螺旋齒相互之間隙在旋轉中心側係寬,隨著往其外周側而變窄。 When a spiral vacuum pump having a pair of spiral rotors is formed by one of the curves forming the right-angled cross-sectional shape of the helical teeth, the gap between the helical teeth of the two helical rotors is widened at the center of the rotation center. It narrows toward its outer peripheral side.

第1曲線,係使兩螺旋齒(22a、22b)的齒面間之間隙為零的情況下,針對在構成一對的另一方的螺旋轉子的第2圓弧上的點所創成的外旋輪線的徑向上的座標(Xt、Yt),以基於該座標與下式(數式1)而算出的修正角(α)作修正,連結修正後的各座標(X=Xtcosα-Ytsinα、Y=Xtsinα+Ytcosα)而描繪者, In the first curve, when the gap between the tooth surfaces of the two helical teeth (22a, 22b) is zero, the external rotation is created for the point on the second circular arc of the other spiral rotor that constitutes the pair. The coordinates (X t , Y t ) in the radial direction of the wheel are corrected by the correction angle (α) calculated based on the coordinate and the following formula (Formula 1), and the corrected coordinates are connected (X=X t cosα) -Y t sinα, Y=X t sinα+Y t cosα) and the depictor,

Description

螺旋真空泵浦 Spiral vacuum pump

本發明,係有關一種螺旋真空泵浦,具備扭轉方向為逆向且分別具有等間距的螺旋齒的一對的螺旋轉子,使此等一對的螺旋轉子在以非接觸方式互相嚙合的狀態下儲存於外殼,藉兩螺旋轉子的同步旋轉從外殼的一端作吸氣而從另一端作吐出。 The present invention relates to a spiral vacuum pump comprising a pair of helical rotors having a twisting direction in a reverse direction and having equally spaced helical teeth, such that the pair of helical rotors are stored in a non-contact manner with each other. The outer casing is sucked from one end of the outer casing by the synchronous rotation of the two spiral rotors and is discharged from the other end.

此種的螺旋真空泵浦係以例如專利文獻1而被知悉。在此歷來例者方面,係螺旋齒的軸直角剖面形狀,藉以下而創成:構成其齒底部的以螺旋轉子的旋轉中心為中心的第1圓弧;構成其齒尖部的以螺旋轉子的旋轉中心為中心的第2圓弧;以及將第1圓弧與第2圓弧分別連結的第1曲線與第2曲線。並且,第1曲線以在構成一對的另一方的螺旋轉子的第2圓弧上的點所創成的外旋輪線而創成,第2曲線由以既定的曲線而構成的假想的齒條而創成。 Such a spiral vacuum pump is known, for example, from Patent Document 1. In this conventional example, the right-angled cross-sectional shape of the helical tooth is created by the first circular arc centering on the rotation center of the spiral rotor constituting the bottom of the tooth, and the spiral rotor constituting the tooth tip portion thereof. a second arc centered on the center of rotation; and a first curve and a second curve connecting the first arc and the second arc, respectively. Further, the first curve is created by an outer-rotary line created at a point on the second circular arc of the other spiral rotor that constitutes the pair, and the second curve is a virtual rack formed by a predetermined curve. Creation.

此種的螺旋真空泵浦,係將從外殼的吸氣口所吸氣的氣體邊封入螺旋轉子與外殼之間而壓縮邊移送, 從外殼的吐出口作吐出。此時,為了螺旋齒相互確實不會干涉而增加兩螺旋齒的齒面間之間隙時,通過此間隙而逆流的氣體的逆流量會增加,招致泵浦能力的降低。為此,考量因應螺旋真空泵浦的使用環境的熱脹、加工精度等下,需要將使一對的螺旋轉子以非接觸方式互相嚙合時的兩螺旋齒的齒面間之間隙設計成遍及其徑向全長作成同等且盡可能減小(例如,0.05mm)。 The spiral vacuum pumping is performed by sealing the gas sucked from the suction port of the outer casing between the spiral rotor and the outer casing and transferring it by compression. Spit out from the spout of the outer casing. At this time, when the spiral teeth do not interfere with each other and the gap between the tooth surfaces of the two helical teeth is increased, the reverse flow rate of the gas flowing back through the gap increases, which causes a decrease in pumping ability. For this reason, considering the thermal expansion and processing accuracy of the use environment of the spiral vacuum pumping, it is necessary to design the gap between the tooth surfaces of the two helical teeth when the pair of spiral rotors are meshed in a non-contact manner. Make the same to the full length and reduce as much as possible (for example, 0.05 mm).

於此,如上述歷來例,連結第1圓弧與第2圓弧的第1曲線以外旋輪線而創成時,判明:兩螺旋轉子的螺旋齒相互之間隙在旋轉中心側係寬,隨著往其外周側而變窄。此係原因應在於:從螺旋轉子的旋轉中心在徑向上的任意的距離(R)下的螺旋齒的俯仰角(θp)不同。所以,本發明之發明人,係反覆銳意研究後,發現:依在從螺旋轉子的旋轉中心的距離(R)下的俯仰角(θp)而算出修正角(α),據此而修正外旋輪線的座標時,可將兩螺旋齒的齒面間之間隙遍及其徑向全長作成同等。 In the above-described conventional example, when the first and second circular arcs are connected to the first and second circular arcs, it is found that the gap between the helical teeth of the two helical rotors is wide at the center of rotation. It narrows toward the outer peripheral side. The reason for this is that the pitch angle (θp) of the helical teeth at an arbitrary distance (R) in the radial direction from the center of rotation of the spiral rotor is different. Therefore, the inventors of the present invention have found that the correction angle (α) is calculated based on the pitch angle (θp) at a distance (R) from the rotation center of the spiral rotor, and the external rotation is corrected accordingly. When the coordinates of the wheel line are used, the gap between the tooth surfaces of the two helical teeth can be made equal to the entire radial length.

[先前技術文獻] [Previous Technical Literature]

[專利文獻] [Patent Literature]

[專利文獻1]日本發明專利公開平成8-189485號公報 [Patent Document 1] Japanese Patent Publication No. Hei 8-189485

本發明,係基於以上的發現而創作者,其課題在於提供使一對的螺旋轉子以非接觸方式互相嚙合時的兩螺旋齒的齒面間之間隙為同等的螺旋真空泵浦。 The present invention has been made by the creator of the above findings, and an object of the invention is to provide a spiral vacuum pump in which the gap between the tooth surfaces of the two helical teeth when the pair of spiral rotors are meshed with each other in a non-contact manner.

為了解決上述課題,具備扭轉方向為逆向且分別具有等間距的螺旋齒的一對的螺旋轉子,使此等一對的螺旋轉子在以非接觸方式互相嚙合的狀態下儲存於外殼,藉兩螺旋轉子的同步旋轉從外殼的一端作吸氣而從另一端作吐出的本發明的螺旋真空泵浦,係螺旋齒的軸直角剖面形狀,藉以下而創成:構成其齒底部的以螺旋轉子的旋轉中心為中心的第1圓弧;構成其齒尖部的以螺旋轉子的旋轉中心為中心的第2圓弧;以及將第1圓弧與第2圓弧分別連結的第1曲線與第2曲線;使在螺旋轉子的軸直角剖面中互相正交的徑向的二軸方向為X軸向及Y軸向,第1曲線,係針對在使兩螺旋齒的齒面間之間隙為零的情況下的構成一對的另一方的螺旋轉子的第2圓弧上的點所創成的外旋輪線的徑向上的座標(Xt=2Acosθ-rdcos(2θ),Yt=2Asinθ-rdsin(2θ),A係兩螺旋轉子的旋轉中心間的距離的一半,rd係第2圓弧的半徑,θ係旋轉角),以基於該座標與下式(數式1)而算出的修正角(α)作修正,連結修正後的各座標(X=Xtcosα-Ytsinα、Y=Xtsinα+Ytcosα)而描繪者。 In order to solve the above problems, a pair of helical rotors having helical directions in which the twisting directions are reversed and having equal pitches are provided, and the pair of spiral rotors are stored in the outer casing in a non-contact manner, and the two spirals are used. The spiral vacuum pump of the present invention in which the synchronous rotation of the rotor is inhaled from one end of the casing and is discharged from the other end is a right-angled cross-sectional shape of the helical tooth, and is created by the rotation center of the spiral rotor constituting the bottom of the tooth. a first arc having a center; a second arc centering on a rotation center of the spiral rotor constituting the tooth tip portion; and a first curve and a second curve connecting the first arc and the second arc; The two-axis directions in the radial direction orthogonal to each other in the axial right-angle cross section of the spiral rotor are the X-axis and the Y-axis, and the first curve is for the case where the gap between the tooth faces of the two helical teeth is zero. The coordinate in the radial direction of the outer-rotary line created by the point on the second arc of the other pair of spiral rotors (X t =2Acosθ-r d cos(2θ), Y t =2Asinθ-r d Sin(2θ), between the centers of rotation of the two helical rotors Half of the radius r d of the second arc-based, from the rotational angle [theta] based), based on the coordinates of each coordinate with the calculated correction angle ([alpha]) for correction, the correction link formula (Equation 1) ( X=X t cosα-Y t sinα, Y=X t sinα+Y t cosα) and is depicted.

(其中,P為螺旋齒之間距,R為距離螺旋轉子的旋轉軸的中心的徑向距離,DG為螺旋齒的齒面間的一半的距離) (where P is the distance between the helical teeth, R is the radial distance from the center of the axis of rotation of the helical rotor, and DG is the distance between the tooth faces of the helical teeth)

依本發明時,依在從螺旋轉子的旋轉中心的距離(R)下的俯仰角(θp)而算出修正角(α),修正外旋輪線的座標,故可將使一對的螺旋轉子以非接觸方式互相嚙合時的兩螺旋齒的齒面間之間隙遍及其徑向整體作成同等且盡可能減小。 According to the present invention, the correction angle (α) is calculated in accordance with the pitch angle (θp) at the distance (R) of the rotation center of the spiral rotor, and the coordinates of the outer rotation wheel line are corrected, so that a pair of spiral rotors can be used. The gap between the tooth faces of the two helical teeth when they are in meshing with each other in a non-contact manner is made equal and as small as possible throughout the radial direction.

在本發明中,前述第2曲線,係組合外擺線與漸開線而形成為優選。 In the present invention, the second curve is preferably formed by combining a hypocycloid and an involute.

1‧‧‧外殼 1‧‧‧Shell

21、22‧‧‧螺旋轉子 2 1 , 2 2 ‧ ‧ spiral rotor

21a、21b‧‧‧旋轉軸 21a, 21b‧‧‧Rotary axis

22a、22b‧‧‧螺旋齒 22a, 22b‧‧‧ helical teeth

t1‧‧‧第1圓弧 T1‧‧‧1st arc

t2‧‧‧第2圓弧 T2‧‧‧2nd arc

t3‧‧‧第1曲線 T3‧‧‧1st curve

t4‧‧‧第2曲線 T4‧‧‧2nd curve

[圖1]針對本發明的實施形態的螺旋真空泵浦的構成進行說明的剖面圖。 Fig. 1 is a cross-sectional view for explaining a configuration of a spiral vacuum pump according to an embodiment of the present invention.

[圖2](a)係繪示螺旋齒的軸剖面形狀的圖,(b)係繪示螺旋齒的軸直角剖面形狀的圖,(c)係針對兩螺旋齒在以非接觸方式嚙合的狀態下作繪示的軸直角剖面圖。 [Fig. 2] (a) is a view showing a cross-sectional shape of a helical tooth, (b) is a view showing a right-angled cross-sectional shape of the helical tooth, and (c) is a non-contact engagement of the two helical teeth. A right-angled cross-sectional view of the shaft as shown in the state.

[圖3](a)係將一方的螺旋轉子在成為該螺旋轉子的螺旋齒的內徑作切斷下的圖,(b)係將一方的螺旋轉子在成為另一個螺旋轉子的螺旋齒的內徑作切斷下的圖。 [Fig. 3] (a) is a view in which one spiral rotor is cut in an inner diameter of a helical tooth serving as the spiral rotor, and (b) a spiral rotor is formed as a helical tooth of another spiral rotor. The inner diameter is taken as a diagram under cutting.

[圖4]針對一對的螺旋轉子的螺旋齒相互之間隙變化 的理由進行說明的圖形。 [Fig. 4] Variation of the mutual gap between the helical teeth of a pair of helical rotors The reason for the description of the graph.

[圖5]針對第1曲線的座標的修正進行說明的圖形。 FIG. 5 is a diagram for explaining correction of coordinates of the first curve. FIG.

參照圖1,SP係本發明的實施形態的螺旋真空泵浦。螺旋真空泵浦SP,係具備圓筒狀的外殼1,在外殼1的一側(圖1中,上側),係設有來自打算抽真空的設備(真空室等)的連接管(未圖示)連接自如的吸氣口11。在外殼1的另一側(圖1中,下側),係設有將外殼1內的氣體吐出至外部的吐出口12。並且,在外殼1內的作動空間1a,係一對的螺旋轉子21、22在使一體形成於旋轉軸21a、21b的該螺旋齒22a、22b以非接觸方式互相嚙合的狀態下被儲存。在以下,係以示於圖1的姿勢為基準,使一對的螺旋轉子21。22的旋轉軸21a、21b延展的方向為上下方向,使正交於此的方向為左右方向,使用表示方向的用語。 Referring to Fig. 1, SP is a spiral vacuum pump of an embodiment of the present invention. The spiral vacuum pump SP is provided with a cylindrical outer casing 1. On one side (upper side in FIG. 1) of the outer casing 1, a connecting pipe (not shown) from a device (vacuum chamber or the like) intended to evacuate is provided. A freely connected suction port 11 is provided. On the other side (lower side in Fig. 1) of the outer casing 1, a discharge port 12 for discharging the gas in the outer casing 1 to the outside is provided. Further, in the operating space 1a in the casing 1, a pair of spiral rotors 2 1 and 2 2 are stored in a state in which the helical teeth 22a and 22b integrally formed on the rotating shafts 21a and 21b are in a non-contact manner. . Hereinafter, a pair of spiral rotors 2 1 are made based on the posture shown in Fig. 1 . The direction in which the rotating shafts 21a and 21b of the 22 are extended is the up-and-down direction, and the direction orthogonal thereto is the left-right direction, and the term indicating the direction is used.

外殼1的上面開口及下面開口,係以將其內部的作動空間1a氣密保持的吸氣側蓋13a與吐出側蓋13b作閉塞。在吸氣側蓋13a與吐出側蓋13b,係分別裝配有軸承3a、3b,作成左右一對的螺旋轉子21、22的旋轉軸21a、21b的上端部及下端部分別被支承。此外,旋轉軸21a、21b的下端部,係延伸出至吐出側蓋13b的下方,分別外插互相嚙合的相同形態的齒輪4a、4b。再者,在右螺旋轉子21的旋轉軸21a的下端係設有聯軸器5a,作 成連結於設在驅動馬達6的驅動軸61的聯軸器5b使得驅動馬達6的動力導入至旋轉軸21a。藉此,兩螺旋轉子21、22同步而互相逆向旋轉,從外殼1的吸氣口11所吸氣的氣體被邊封入螺旋轉子21、22與外殼1之間邊移送,在螺旋齒22a、22b的終端部分被壓縮而從吐出口12吐出。 The upper opening and the lower opening of the outer casing 1 are closed by the intake side cover 13a and the discharge side cover 13b which airtightly hold the operation space 1a inside. Bearings 3a and 3b are attached to the intake side cover 13a and the discharge side cover 13b, respectively, and the upper end portion and the lower end portion of the rotation shafts 21a and 21b of the pair of right and left spiral rotors 2 1 and 2 2 are supported. Further, the lower end portions of the rotating shafts 21a and 21b are extended below the discharge side cover 13b, and the gears 4a and 4b of the same form that mesh with each other are externally inserted. Further, the lower end of the rotary shaft 2 lines 1 21a is provided with a right screw rotor coupling 5a, made 5b is connected to the coupling provided in the drive shaft 61 of the motor 6 so that the power of the drive motor 6 is introduced to the rotary shaft 21a. Thereby, the two spiral rotors 2 1 and 2 2 rotate in opposite directions in synchronization with each other, and the gas sucked from the intake port 11 of the outer casing 1 is sealed while being sealed between the spiral rotors 2 1 and 22 and the outer casing 1 in the spiral. The terminal portions of the teeth 22a and 22b are compressed and discharged from the discharge port 12.

螺旋轉子21、22的各螺旋齒22a、22b,係分別形成為:此等螺旋齒22a、22b相互間的距離(上下方向高度),亦即間距P(或導程)同等而其扭轉方向成為逆向。各螺旋齒22a、22b的齒形的軸剖面形狀及軸直角剖面形狀,係如示於圖2(a)~(c),藉以下而創成:構成其齒底部(圖2(b)中,Ta-Tb間)的以旋轉軸21a、21b的旋轉中心tc為中心的第1圓弧t1;構成其齒尖部(圖2(b)中,Tc-Td間)的以螺旋轉子21、22的旋轉中心為中心tc的第2圓弧t2;以及分別連結第1圓弧t1與第2圓弧t2的第1曲線t3(圖2(b)中,Tb-Tc間)與第2曲線t4(圖2(b)中,Td-Ta間)。第2曲線t4,係例如組合外擺線與漸開線而形成。 Each of the helical teeth 22a and 22b of the spiral rotors 2 1 and 2 2 is formed such that the distance between the helical teeth 22a and 22b (the height in the vertical direction), that is, the pitch P (or the lead) is equal and twisted. The direction becomes reverse. The axial cross-sectional shape and the axial right-angle cross-sectional shape of the respective helical teeth 22a and 22b are as shown in Figs. 2(a) to 2(c), and are formed by forming the bottom of the tooth (in Fig. 2(b), a first arc t1 centering on the rotation center tc of the rotation shafts 21a and 21b between the Ta-Tbs, and a spiral rotor 2 1 constituting the tooth tip portion (between Tc and Td in Fig. 2(b)) The rotation center of 2 2 is the second arc t2 of the center tc; and the first curve t3 (between Tb and Tc in FIG. 2(b)) and the second which respectively connect the first arc t1 and the second arc t2 Curve t4 (between Td-Ta in Fig. 2(b)). The second curve t4 is formed, for example, by combining a hypocycloid and an involute.

於此,構成一方的螺旋轉子21的各螺旋齒22a的第1曲線t3藉以在另一方的螺旋轉子22的第2圓弧t2上的點而創成的外旋輪線而創成時,判明:螺旋齒22a、22b相互之間隙,如示於圖3(a)及(b),在旋轉軸21a、21b的旋轉中心tc側係寬,隨著往其外周側而變窄。此應係原因在於:從旋轉中心tc在徑向上的任意的 距離(R)下的螺旋齒22a、22b的俯仰角(θp)不同,亦即如示於圖4,使以任意的距離(R)為半徑的圓的圓弧的長度(周長)為例如A、B、C,將此等與俯仰高度連結時的形成角度θp1、θp2、θp3不同。為此,需要按角度使螺旋齒22a、22b相對的之間隙成為一定的修正。 When this, each of the helical teeth 22a of the first curve t3 constitute a screw rotors 1, 2 whereby the one point on the second arcuate t2 of the other screw rotor 22 and the record into the epitrochoid and Creation, was found The gap between the spiral teeth 22a and 22b is widened on the side of the rotation center tc of the rotary shafts 21a and 21b as shown in Figs. 3(a) and 3(b), and becomes narrower toward the outer peripheral side thereof. The reason for this is that the pitch angles (θp) of the helical teeth 22a, 22b at any distance (R) in the radial direction from the center of rotation tc are different, that is, as shown in Fig. 4, at an arbitrary distance (R) The length (circumference) of the circular arc of the circle having the radius is, for example, A, B, and C, and the formation angles θp1, θp2, and θp3 when the height is connected to the pitch height are different. For this reason, it is necessary to make the gap between the opposing spiral teeth 22a and 22b constant by a certain angle.

在本實施形態,係將第1曲線t3,作成如下者:針對在使兩螺旋齒22a、22b的齒面間之間隙為零的情況下的另一方的螺旋轉子22的第2圓弧t2上的點所創成的外旋輪線的徑向上的座標(Xt=2Acosθ-rdcos(2θ),Yt=2Asinθ-rdsin(2θ),A係兩螺旋轉子21,22的旋轉中心間tc的距離的一半,rd係第2圓弧t2的半徑,θ係旋轉角),以基於該座標與下式(數式1)而算出的修正角(α)作修正,連結修正後的各座標(X=Xtcosα-Ytsinα、Y=Xtsinα+Ytcosα)而描繪。 In the present embodiment, the first curve t3 is formed as follows: the second arc t2 of the other spiral rotor 2 2 when the gap between the tooth surfaces of the two helical teeth 22a and 22b is zero. The coordinates on the radial direction of the outer rotator line created by the upper point (X t = 2Acos θ - r d cos(2θ), Y t = 2Asin θ - r d sin (2θ), A-system two-helical rotor 2 1 , 2 2 The half of the distance between the rotation centers tc, r d is the radius of the second arc t2, and the θ-system rotation angle is corrected by the correction angle (α) calculated based on the coordinates and the following formula (Expression 1). The coordinates are corrected by linking the corrected coordinates (X=X t cosα-Y t sinα, Y=X t sinα+Y t cosα).

亦即,參照圖5,使第1曲線t3為上述外旋輪線的情況下,描繪如在圖5中以點線示出的曲線(Xt=2Acosθ-rdcos(2θ),Yt=2Asinθ-rdsin(2θ)。並且,此時的俯仰角(θp),係考量從螺旋轉子21、22的旋轉中心tc的距離(R)時,能以下式(數式2)表示。 That is, referring to Fig. 5, when the first curve t3 is the outer-rotary line, a curve shown by a dotted line in Fig. 5 is drawn (X t = 2Acos θ - r d cos (2θ), Y t =2Asin θ - r d sin (2θ), and the pitch angle (θp) at this time is based on the distance (R) from the rotation center tc of the spiral rotors 2 1 and 2 2 , and can be expressed by the following equation (Expression 2) Said.

接著,使從兩螺旋齒22a、22b的齒面間之間隙成為零的位置的應予以移動的距離為ij的情況下,Ij係能以下式(數式3)表示,可變形成下式(數式4)。此情況下,P為螺旋齒22a、22b之間距,R為從旋轉軸21a、21b的中心的徑向距離,DG為螺旋齒22a、22b的齒面間的一半的距離。 When the distance to be moved from the position where the gap between the tooth surfaces of the two helical teeth 22a and 22b is zero is ij, the Ij system can be expressed by the following formula (Expression 3), and the following formula can be changed ( Equation 4). In this case, P is the distance between the helical teeth 22a and 22b, R is the radial distance from the center of the rotating shafts 21a and 21b, and DG is the distance between the tooth faces of the helical teeth 22a and 22b.

從上述各式(數式2)~式(數式4),修正角(α)可表示於上述式(數式1),將此示於圖5中時,成為以點劃線表示的線。另外,圖5,係示出使螺旋轉子21、22的旋轉中心為(X、Y)=0、0時的座標系,為對應於使示於圖2(b)者旋轉180°之狀態者。 From the above equations (Expression 2) to Equation (Expression 4), the correction angle (α) can be expressed in the above formula (Expression 1), and when it is shown in Fig. 5, it is a line indicated by a chain line. . In addition, FIG. 5 shows a coordinate system when the center of rotation of the spiral rotors 2 1 and 2 2 is (X, Y)=0, 0, which corresponds to a rotation of 180° as shown in FIG. 2(b). State.

如以上確定修正角(α),針對使兩螺旋齒22a、22b的齒面間之間隙為零的情況下的外旋輪線的座標(Xt、Yt)基於修正角(α)作修正時,第1曲線t3,係成為圖5中以實線表示的連結座標(X=Xtcosα-Ytsinα、Y= Xtsinα+Ytcosα)者。依以上的實施形態時,依在從螺旋轉子21、22的旋轉中心tc的距離(R)的俯仰角(θp)而算出修正角(α),修正了外旋輪線的座標,故可將使一對的螺旋轉子21、22以非接觸方式互相嚙合時的兩螺旋齒22a、22b的齒面間之間隙遍及其徑向整體作成同等且盡可能減小。 The correction angle (α) is determined as above, and the coordinates (X t , Y t ) of the outer rotation wheel in the case where the gap between the tooth surfaces of the two helical teeth 22a and 22b is zero are corrected based on the correction angle (α). In the case of the first curve t3, the connection coordinates (X=X t cosα-Y t sinα, Y=X t sinα+Y t cosα) indicated by solid lines in Fig. 5 are obtained. According to the above embodiment, the correction angle (α) is calculated from the pitch angle (θp) of the distance (R) of the rotation center tc of the spiral rotors 2 1 and 2 2 , and the coordinates of the outer rotation wheel line are corrected. The gap between the tooth surfaces of the two helical teeth 22a and 22b when the pair of helical rotors 2 1 and 2 2 are in a non-contact manner can be made equal to each other in the radial direction as much as possible.

以上,雖就本發明的實施形態作說明,惟本發明係非限定於上述者。在上述實施形態,係雖以組合外擺線與漸開線而形成第2曲線t4者為例,惟並非限定於此者,亦可為例如正弦曲線、擺線、克羅梭曲線。此外,螺旋轉子21、22的條數並非一定為1而亦可為2條以上。 Although the embodiments of the present invention have been described above, the present invention is not limited to the above. In the above embodiment, the second curve t4 is formed by combining the epicycloid and the involute, but the present invention is not limited thereto, and may be, for example, a sinusoidal curve, a cycloid, or a Crosoe curve. Further, the number of the spiral rotors 2 1 and 2 2 is not necessarily one, and may be two or more.

Claims (2)

一種螺旋真空泵浦,具備扭轉方向為逆向且分別具有等間距的螺旋齒的一對的螺旋轉子,使前述一對的螺旋轉子在以非接觸方式互相嚙合的狀態下收納於外殼,藉前述一對的螺旋轉子的同步旋轉從前述外殼的一端吸氣而從另一端吐出,特徵在於:前述螺旋齒的軸直角剖面的形狀由以下創成:第1圓弧,其為構成該螺旋齒的齒底部的以前述一對的螺旋轉子的旋轉中心為中心者;第2圓弧,其為構成該螺旋齒的齒尖部的以前述一對的螺旋轉子的旋轉中心為中心者;以及第1曲線與第2曲線,其等將第1圓弧與第2圓弧分別連結;使在前述一對的螺旋轉子的前述軸直角剖面中互相正交的徑向的二軸方向為X軸向及Y軸向,使前述第1曲線為利用以下方式描繪者:基於以在使兩個前述螺旋齒的齒面間之間隙為零的情況下的成對的螺旋轉子中的另一個螺旋轉子的前述第2圓弧上的點所創成的從前述一對的螺旋轉子的旋轉中心在徑向上的任意距離的螺旋齒的俯仰角不同的外旋輪線,針對前述外旋輪線的徑向上的座標(Xt=2Acosθ-rdcos(2θ),Yt=2Asinθ-rdsin(2θ),A係前述一對的螺旋轉子的旋轉中心間的距離的一半,rd係前述第2圓弧的半徑,θ係旋轉角),以基於該座標與下式(數式1)而算出的修正角(α)修正,連結修正後的各座標(X= Xtcosα-Ytsinα、Y=Xtsinα+Ytcosα), (其中,P為前述螺旋齒之間距,R為距離前述一對的螺旋轉子的旋轉軸的中心的徑向距離,DG為前述螺旋齒的齒面間的一半的距離)。 A spiral vacuum pump comprising a pair of helical rotors having a twisting direction in a reverse direction and having equally spaced helical teeth, wherein the pair of spiral rotors are housed in a casing in a non-contact manner with each other, by the pair The synchronous rotation of the spiral rotor is inhaled from one end of the outer casing and is discharged from the other end. The shape of the helical tooth having a right-angled cross section is created by a first circular arc which is the bottom of the tooth constituting the helical tooth. The second arc is centered on the rotation center of the pair of spiral rotors, and the first curve and the first axis are the center of rotation of the pair of spiral rotors; a curve in which the first arc and the second arc are connected to each other, and the two axial directions orthogonal to each other in the axial cross section of the pair of spiral rotors are X-axis and Y-axis. The first curve is drawn by the following method: based on the second circle of the other spiral rotor of the pair of spiral rotors when the gap between the tooth flanks of the two helical teeth is zero An outer-rotary line created by a point on the arc that has different pitch angles of helical teeth of any distance in the radial direction from the center of rotation of the pair of helical rotors, for the radial coordinates of the outer-rotary line (X t =2Acosθ-r d cos(2θ), Y t =2Asinθ-r d sin(2θ), A is a half of the distance between the centers of rotation of the pair of spiral rotors, and r d is the radius of the second arc. The θ-system rotation angle is corrected by the correction angle (α) calculated based on the coordinate and the following formula (Expression 1), and the corrected coordinates are connected (X=X t cosα-Y t sinα, Y=X t sinα) +Y t cosα), (wherein P is the distance between the spiral teeth, R is a radial distance from the center of the rotation axis of the pair of spiral rotors, and DG is a distance between half of the tooth faces of the helical teeth). 如申請專利範圍第1項的螺旋真空泵浦,其中,前述第2曲線,係組合外擺線與漸開線而形成。 A spiral vacuum pump according to claim 1, wherein the second curve is formed by combining a hypocycloid and an involute.
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