JP5597688B2 - Claw-shaped rotor pair device - Google Patents

Claw-shaped rotor pair device Download PDF

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JP5597688B2
JP5597688B2 JP2012244253A JP2012244253A JP5597688B2 JP 5597688 B2 JP5597688 B2 JP 5597688B2 JP 2012244253 A JP2012244253 A JP 2012244253A JP 2012244253 A JP2012244253 A JP 2012244253A JP 5597688 B2 JP5597688 B2 JP 5597688B2
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JP2014092121A (en
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添東 鍾
蒼林 許
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良峰塑膠機械股▲ふん▼有限公司
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本発明は一種の爪形回転子対装置に係り、特に、一種の、相互に噛み合う二つの回転子の構造形態が同じであり、相互の共役噛み合い過程を十分に順調とすることができ、騒音及び機構疲労を発生せず、且つ十分にパラメータで偶数個の噛み合い爪数を提供できる、外形が同じ二つの回転子からなる爪形回転子対装置に関する。   The present invention relates to a kind of claw-shaped rotor pair device, and in particular, the structural form of a kind of two mutually meshing rotors is the same, the mutual conjugate meshing process can be made sufficiently smooth, and the noise Further, the present invention relates to a claw-shaped rotor pair device comprising two rotors having the same outer shape, which does not cause mechanical fatigue and can provide an even number of meshing claws with sufficient parameters.

周知の爪形回転子は、実際の需要の違いにより、二つの回転子上の爪部に、奇数爪或いは偶数爪の組合せ形式がある。ただし、どちらの形式の組合せであっても、爪形回転子の構造は基本的に、二つの、相互共役噛合の定義回転子と共役回転子を包含し、これらの二つの回転子上の爪部が、相互共役噛合回転することで、周期性循環の圧縮運動を提供する。周知の爪形回転子の構造に関しては、特許文献1乃至6を参照されたい。   The known claw-shaped rotor has a combination type of odd-numbered claws or even-numbered claws in the claw portions on the two rotors depending on the difference in actual demand. However, in either type of combination, the structure of the claw-shaped rotor basically includes two rotors that define the mutual conjugate mesh and a conjugate rotor, and the claws on these two rotors. The parts rotate in a mutually conjugate meshing manner to provide a compressive motion of periodic circulation. For the structure of the known claw-shaped rotor, see Patent Documents 1 to 6.

しかし、周知の爪形回転子には、改善すべき共通する欠点がある。すなわち、相互噛合の過程中に騒音と振動の現象を発生することである。その原因は、爪形回転子の二つの爪部は先端部曲線にあって不連続を形成し、このため、周期性循環の圧縮運動過程にあって、定義回転子と共役回転子は先端部曲線が不順調であるために、二つの爪部の相互噛合性が不良となり、圧縮運動過程で騒音と振動を発生するのであり、ひいては、不当な噛合が発生する摩擦と機構疲労により、使用寿命が短くなってしまう。   However, the known claw rotor has a common drawback to be improved. That is, noise and vibration are generated during the mutual meshing process. The reason is that the two claws of the claw-shaped rotor are in the tip curve and form a discontinuity, so in the compression motion process of periodic circulation, the defining rotor and the conjugate rotor are at the tip. Since the curve is not smooth, the mutual engagement of the two claws becomes poor, and noise and vibration are generated during the compression movement process.As a result, the service life is due to friction and mechanical fatigue that cause inappropriate engagement. Will be shorter.

米国特許出願第1,426,820号明細書US Patent Application No. 1,426,820 米国特許出願第5,149,256号明細書US Patent Application No. 5,149,256 米国特許出願第4,406,601号明細書US Patent Application No. 4,406,601 米国特許出願第4,324,538号明細書US Patent Application No. 4,324,538 米国特許出願第4,224,016号明細書US Patent Application No. 4,224,016 米国特許出願第4,430,050号明細書US Patent Application No. 4,430,050

本発明の目的は、二つの外形が同じ爪形回転子からなる爪形回転子対装置を提供することであり、該装置は相互に共役性を以て噛み合う定義回転子と共役回転子に、パラメータで偶数の噛合爪数を提供し、その相互に噛み合う回転子構造は同じであり、並びに回転子において連続した滑らかな運動曲線が取得でき、これにより、二つの回転子の周期性を以て循環する圧縮運動過程において、騒音と振動の現象の発生がなく、且つ十分に噛み合いにより発生する磨耗と機構疲労を減らすことができ、使用寿命を高める。   It is an object of the present invention to provide a claw-shaped rotor pair device having two claw-shaped rotors having the same outer shape, and the device can be used to define a rotator and a conjugated rotor that are meshed with each other in terms of parameters. The rotor structure that provides an even number of meshing claws and meshes with each other is the same, and a continuous smooth motion curve can be obtained in the rotor, so that the compression motion circulates with the periodicity of the two rotors. In the process, there is no occurrence of noise and vibration, and wear and mechanical fatigue caused by sufficient meshing can be reduced, and the service life is increased.

上述の目的を達成するために、本発明は、外形が同じ相互に噛み合う定義回転子と共役回転子で構成された爪形回転子対装置。
そのうち、該定義回転子と共役回転子は同じ外径とピッチ円半径を有し、且つ外径はピッチ円半径より大きくなければならない。該定義回転子及び共役回転子は同じ偶数個の爪部と同じ爪部断面外形を有し、そのうち、該定義回転子の第1爪部の断面外形は、逆時計回りの方向に、順に、外擺線、第1円弧、第2円弧、第3円弧及び第4円弧の、5段の曲線で構成されている。
In order to achieve the above-described object, the present invention provides a claw-shaped rotor pair device composed of a definition rotor and a conjugate rotor that have the same outer shape and mesh with each other.
Among them, the definition rotor and the conjugate rotor have the same outer diameter and pitch circle radius, and the outer diameter must be larger than the pitch circle radius. The definition rotor and the conjugate rotor have the same even number of claw portions and the same claw cross-sectional outline, and the cross-sectional outline of the first claw portion of the definition rotor is sequentially in the counterclockwise direction, It is composed of a five-stage curve of an outer line, a first arc, a second arc, a third arc, and a fourth arc.

そのうち、4個の相互に連なる円弧が、定義回転子の円の中心に対してなす角度は、360度を爪数で割ったものに等しく、該外擺線の開始点は、定義回転子の円の中心より2倍のピッチ円半径から、外径を減じた位置であり、その終了点の外径における位置、第1円弧及び第4円弧の円の中心位置は、いずれも定義回転子の円の中心にあり、且つ同じ円弧角を有する。第1円弧の半径と定義回転子の外径は同じで、第4円弧の半径は2倍のピッチ円半径から外径を引いたものである。四つの順に連なる各円弧は、各連接点においてその傾斜率が連続する制限条件を満足させる必要があり、この制限条件及びその幾何関係により、適宜第2円弧及び第3円弧の円の中心位置、半径、円弧角等の数値を選定できる。   Of these, the angle formed by the four mutually connected arcs with respect to the center of the circle of the definition rotor is equal to 360 degrees divided by the number of claws, and the starting point of the outer line is the definition rotor's start point. This is the position obtained by subtracting the outer diameter from the pitch circle radius twice the center of the circle, and the position of the end point at the outer diameter and the center position of the circles of the first and fourth arcs are both defined rotors. It is in the center of the circle and has the same arc angle. The radius of the first arc is the same as the outer diameter of the definition rotor, and the radius of the fourth arc is the pitch circle radius twice the outer diameter minus the outer radius. Each of the four arcs connected in sequence needs to satisfy a limiting condition in which the inclination rate is continuous at each connecting point, and depending on the limiting condition and its geometrical relationship, the center positions of the circles of the second arc and the third arc as appropriate, Numerical values such as radius and arc angle can be selected.

該共役回転子の第1爪部の断面外形は、時計回り方向に順に、第1曲線、第2曲線、第3曲線、第4曲線、外擺線の、5段で構成される。該第1曲線、第2曲線、第3曲線、第4曲線の4個の互いに連なる曲線は、それぞれ定義回転子の第1から第4円弧の、共役回転子に位置する共役曲線とされる。第1曲線、第2曲線、第3曲線、第4曲線の4個の互いに連なる曲線は、共役回転子の円の中心に対して、360度を爪数で割った角度をなし、及び外擺線は定義回転子の第1爪部の外擺線を共役回転子に複製し、並びに適宜回転させて得られる。   The cross-sectional outer shape of the first claw portion of the conjugate rotator is composed of five stages of a first curve, a second curve, a third curve, a fourth curve, and an outer line in order in the clockwise direction. The four consecutive curves of the first curve, the second curve, the third curve, and the fourth curve are conjugate curves positioned on the conjugate rotor of the first to fourth arcs of the definition rotor. The four consecutive curves of the first curve, the second curve, the third curve, and the fourth curve form an angle obtained by dividing 360 degrees by the number of claws with respect to the center of the circle of the conjugate rotor, and The line is obtained by duplicating the outer claw line of the first claw portion of the definition rotor on the conjugate rotor and rotating it appropriately.

該定義回転子の第2爪部の断面外形は、逆時計回り方向に、順に、外擺線、第4曲線、第3曲線、第2曲線、第1曲線の、5段の曲線で構成される。そのうち、外擺線、第4曲線、第3曲線、第2曲線、第1曲線は、それぞれ共役回転子の第1爪部の外形を定義回転子に複製し、並びに適宜回転させて得られる。   The cross-sectional outer shape of the second claw portion of the definition rotor is composed of five stages of curves, that is, an outer periphery line, a fourth curve, a third curve, a second curve, and a first curve in order in the counterclockwise direction. The Among them, the outer tangent line, the fourth curve, the third curve, the second curve, and the first curve are obtained by duplicating the outer shape of the first claw portion of the conjugate rotator on the definition rotator and rotating it appropriately.

該定義回転子のその他の爪部(第3爪部及び第4爪部、第5爪部及び第6爪部、・・・)の断面外形は、順に、その第1爪部及び第2爪部の断面外形を、複製し、回転させることで得られる。   The cross-sectional outlines of the other claw portions (the third claw portion and the fourth claw portion, the fifth claw portion and the sixth claw portion,...) Of the definition rotor are, in order, the first claw portion and the second claw portion. It is obtained by duplicating and rotating the cross-sectional outline of the part.

該共役回転子の第2爪部の断面外形は、時計回り方向に、順に、第4円弧、第3円弧、第2円弧、第1円弧、外擺線の、5段の曲線で構成され、そのうち、第4円弧、第3円弧、第2円弧、第1円弧、外擺線の、互いに連なる曲線は、定義回転子の第1爪部の外形を共役回転子に複製し、並びに適宜回転させて得られる。   The cross-sectional outer shape of the second claw portion of the conjugate rotator is composed of five steps of curves in the clockwise direction, a fourth arc, a third arc, a second arc, a first arc, and an outer edge line in order, Among them, the fourth arc, the third arc, the second arc, the first arc, and the outer curved line, which are connected to each other, replicate the outer shape of the first claw portion of the definition rotor to the conjugate rotor and rotate it appropriately. Obtained.

該共役回転子のその他の爪部(第3爪部及び第4爪部、第5爪部及び第6爪部、・・・)の断面外形は、その第1爪部及び第2爪部の断面外形を複製し回転させて得られる。   The cross-sectional outlines of the other claw portions (the third claw portion and the fourth claw portion, the fifth claw portion and the sixth claw portion,...) Of the conjugate rotor are the same as the first claw portion and the second claw portion. It is obtained by duplicating and rotating the cross-sectional outline.

本発明の爪形回転子対装置の、さらなる特徴は、該定義回転子の第1爪部のもう一つの取得方式にあり、それは、第1円弧の角度及び第4円弧の角度を0度とする。これにより、該定義回転子の第1爪部の断面外形を、逆時計回りに、わずかに、外擺線、第2円弧及び第3円弧で構成し、該共役回転子の第1爪部の断面外形を、時計回り方向に、順に、第2曲線、第3曲線及び外擺線の3段の曲線で構成する。   A further feature of the claw-shaped rotor pair device of the present invention lies in another method of obtaining the first claw portion of the defining rotor, which is that the angle of the first arc and the angle of the fourth arc are set to 0 degrees. To do. As a result, the cross-sectional outline of the first claw portion of the definition rotor is slightly counterclockwise, and is configured by the outer winding line, the second arc, and the third arc, and the first claw portion of the conjugate rotor The cross-sectional outline is composed of three stages of curves, a second curve, a third curve, and an outer line in order in the clockwise direction.

そのうち、第2曲線及び第3曲線の2段の曲線は、それぞれ定義回転子の第2円弧及び第3円弧の2段の円弧とされて共役回転子の共役曲線に位置し、第2曲線及び第3曲線の2段の曲線は、共役回転子の円の中心に対する角度は360度を爪数で割った角度を呈し、該定義回転子のその他の爪数及び共役回転子の爪数の形成方式は、前述した方式と同じであり、相互に噛み合う構造形態の同じ回転子を達成することができる。   Among them, the two-stage curves of the second curve and the third curve are respectively defined as the second arc of the definition rotor and the second arc of the third arc, and are located on the conjugate curve of the conjugate rotor. The two-stage curve of the third curve shows that the angle of the conjugate rotor with respect to the center of the circle is 360 degrees divided by the number of claws, and the number of other claws of the definition rotor and the number of claws of the conjugate rotor are formed. The system is the same as the system described above, and the same rotor can be achieved in the form of a structure that meshes with each other.

請求項1の発明は、外形が同じで相互に噛み合う定義回転子と共役回転子で構成された爪形回転子対装置において、
該定義回転子及び共役回転子は、同じ外径及びピッチ円半径を有し、且つ該外径は、該ピッチ円半径より大きく、該定義回転子と該共役回転子は同じ偶数の爪部と同じ爪部断面外形を有し、
該定義回転子の第1爪部の断面外形は、逆時計回り方向に、順に、外擺線、第1円弧、第2円弧、第3円弧、第4円弧の、5段の曲線で構成され、そのうち、四つの互いに連なる円弧の、定義回転子の円の中心に対する角度は、360度を爪数で割ったものに等しく、第1円弧及び第4円弧の円の中心位置は、いずれも定義回転子の円の中心に位置し、且つ同じ円弧角を有し、第1円弧の半径と定義回転子の外径は同じであり、第4円弧の半径は、ピッチ円半径の2倍から外径を減じたものとされ、順に連なる四つの各円弧は、各連接点の傾斜率が連続する制限条件を満足させ、この制限条件及びその幾何関係により、適宜第2円弧及び第3円弧の円の中心位置、半径、円弧角の数値を選定し、
該共役回転子の第1爪部の断面外形は、時計回りの方向に、順に第1曲線、第2曲線、第3曲線、第4曲線、外擺線の5段の曲線で構成され、第1曲線、第2曲線、第3曲線、第4曲線の4段の曲線は、それぞれ定義回転子の第1から第4円弧の、共役回転子における共役曲線とされ、第1曲線、第2曲線、第3曲線、第4曲線の、互いに連なる四つの曲線の、共役回転子の円の中心に対する角度は、360度を爪数で割ったものに等しく、該共役回転子の外擺線は、定義回転子の第1爪部の外擺線を共役回転子に複製し、並びに適宜回転させることで得られ、
該定義回転子の第2爪部の断面外形は、逆時計回りの方向に、順に、外擺線、第4曲線、第3曲線、第2曲線、第1曲線の5段の曲線で構成され、それは、共役回転子の第1爪部の外形を定義回転子に複製し、並びに適宜回転させることで得られ、
該共役回転子の第2爪部の断面外形は、時計回り方向に、順に、第4円弧、第3円弧、第2円弧、第1円弧、外擺線の5段の曲線で構成され、それは定義回転子の第1爪部の外形を共役回転子に複製し、並びに適宜回転させることで得られ、
該定義回転子のその他の爪部の断面外形は、順に、その第1爪部及び第2爪部の断面外形を複製し回転させることで得られ、
該共役回転子のその他の爪部の断面外形は、順に、その第1爪部及び第2爪部の断面外形を複製し回転させることで得られ、
以上を特徴とする、爪形回転子対装置としている。
請求項2の発明は、請求項1記載の爪形回転子対装置において、そのうち、各円弧は各連接点のその傾斜率が連続する制限条件を満足させる必要があり、並びに非線形方程式により対応する第3円弧の角度が探し出されることを特徴とする、爪形回転子対装置としている。
請求項3の発明は、請求項2記載の爪形回転子対装置において、そのうち、該第2円弧の半径は非線形方程式を組み合わせた推論により取得されることを特徴とする、爪形回転子対装置としている。
請求項4の発明は、請求項3記載の爪形回転子対装置において、そのうち、該第3円弧の角度は正弦定理、関数の微分を利用し、並びに解方程式により推導されることを特徴とする、爪形回転子対装置としている。
請求項5の発明は、請求項2記載の爪形回転子対装置において、そのうち、該第1円弧と第4円弧に与えられる円弧角度は零度より大きいことを特徴とする、爪形回転子対装置としている。
請求項6の発明は、外形が同じで相互に噛み合う定義回転子と共役回転子で構成された爪形回転子対装置において、
該定義回転子及び共役回転子は、同じ外径及びピッチ円半径を有し、且つ該外径は、該ピッチ円半径より大きく、該定義回転子と該共役回転子は同じ偶数の爪部と同じ爪部断面外形を有し、
該定義回転子の第1爪部の断面外形は、逆時計回り方向に、順に、外擺線、第2円弧、第3円弧の、3段の曲線で構成され、第2円弧及び第3円弧の、これら二つの互いに連なる円弧の、定義回転子の円の中心に対する角度は、360度を爪数で割ったものに等しく、該外擺線の開始点は、定義回転子の円の中心からピッチ円半径の2倍の距離から外径を減じた位置にあり、その終了点は、外径の位置にあり、第2円弧の開始点と外擺線の終了点は接続され、その円の中心は該定義回転子と共役回転子の円の中心の連接線上にあり、第3円弧の終了点はピッチ円半径の2倍より外径を減じた位置とされ、その位置は、定義回転子にあって、360度を爪数で割った直線方向上にあり、第2円弧と第3円弧の交点は、傾斜率連続の制限条件を満足させる必要があり、この制限条件及びその幾何関係により、定義第2円弧及び第3円弧の円の中心位置、半径、円弧角の数値を選定でき、
該共役回転子の第1爪部の断面外形は、時計回りの方向に、順に第2曲線、第3曲線、外擺線の3段の曲線で構成され、第2曲線、第3曲線のこれら二つの互いに連なる曲線は、それぞれ定義回転子の第2円弧、第3円弧の、共役回転子における共役曲線とされ、第2曲線、第3曲線の、互いに連なる二つの曲線の、共役回転子の円の中心に対する角度は、360度を爪数で割ったものに等しく、外擺線は定義回転子の第1爪部の外擺線を共役回転子に複製し、並びに適宜回転させることで得られ、
該定義回転子の第2爪部の断面外形は、逆時計回りの方向に、順に、外擺線、第3曲線、第2曲線の3段の曲線で構成され、これら三つの互いに連なる曲線は、共役回転子の第1爪部の外形を定義回転子に複製し、並びに適宜回転させることで得られ、
該共役回転子の第2爪部の断面外形は、時計回り方向に、順に、第3円弧、第2円弧、外擺線の3段の曲線で構成され、それは定義回転子の第1爪部の外形を共役回転子に複製し、並びに適宜回転させることで得られ、
該定義回転子のその他の爪部の断面外形は、順に、その第1爪部及び第2爪部の断面外形を複製し回転させることで得られ、
該共役回転子のその他の爪部の断面外形は、順に、その第1爪部及び第2爪部の断面外形を複製し回転させることで得られ、
以上を特徴とする、爪形回転子対装置としている。
請求項7の発明は、請求項6記載の爪形回転子対装置において、そのうち、各円弧は各連接点のその傾斜率が連続する制限条件を満足させる必要があり、並びに非線形方程式により対応する第3円弧の角度が探し出されることを特徴とする、爪形回転子対装置としている。
請求項8の発明は、請求項7記載の爪形回転子対装置において、そのうち、該第2円弧の半径は非線形方程式を組み合わせた推論により取得されることを特徴とする、爪形回転子対装置としている。
請求項9の発明は、請求項8記載の爪形回転子対装置において、そのうち、該第3円弧の角度は正弦定理、関数の微分を利用し、並びに解方程式により推導されることを特徴とする、爪形回転子対装置としている。
請求項10の発明は、請求項7記載の爪形回転子対装置において、そのうち、該第1円弧と第4円弧に与えられる円弧角度は零度とされることを特徴とする、爪形回転子対装置としている。
The invention of claim 1 is a claw-shaped rotor pair device composed of a definition rotor and a conjugate rotor that have the same outer shape and mesh with each other.
The definition rotor and the conjugate rotor have the same outer diameter and pitch circle radius, and the outer diameter is greater than the pitch circle radius, and the definition rotor and the conjugate rotor have the same even number of claws. Have the same claw cross-sectional profile,
The cross-sectional outer shape of the first claw portion of the definition rotor is composed of a five-step curve in order of an outer periphery line, a first arc, a second arc, a third arc, and a fourth arc in the counterclockwise direction. Of these, the angle of the four consecutive arcs with respect to the center of the circle of the definition rotor is equal to 360 degrees divided by the number of claws, and the center positions of the first and fourth arcs are both defined. Located at the center of the rotor circle and having the same arc angle, the radius of the first arc is the same as the outer diameter of the defining rotor, and the radius of the fourth arc is from twice the pitch circle radius. Each of the four circular arcs that are successively reduced in diameter satisfies the limiting condition that the inclination rate of each connecting contact is continuous, and according to the limiting condition and its geometrical relationship, the circles of the second arc and the third arc are appropriately set. Select the numerical value of the center position, radius, and arc angle of
The cross-sectional outer shape of the first claw portion of the conjugate rotator is composed of five steps of curves in the clockwise direction: a first curve, a second curve, a third curve, a fourth curve, and an outer rim line in order. The four curves of the first curve, the second curve, the third curve, and the fourth curve are the conjugate curves in the conjugate rotor of the first to fourth arcs of the definition rotor, and the first curve and the second curve. The angle of the four curves connected to each other of the third curve and the fourth curve with respect to the center of the circle of the conjugate rotator is equal to 360 degrees divided by the number of claws. It is obtained by duplicating the outer claw line of the first claw part of the definition rotor on the conjugate rotor and rotating it appropriately,
The cross-sectional outer shape of the second claw portion of the definition rotor is composed of a five-step curve in the order of the counterclockwise direction, that is, outer line, fourth curve, third curve, second curve, and first curve. , It is obtained by duplicating the outer shape of the first claw part of the conjugate rotor to the definition rotor, and rotating it appropriately.
The cross-sectional outer shape of the second claw portion of the conjugate rotator is configured by five steps of a fourth arc, a third arc, a second arc, a first arc, and an outer edge line in order in the clockwise direction. It is obtained by duplicating the outer shape of the first claw part of the definition rotor on the conjugate rotor and rotating it appropriately.
The cross-sectional outlines of the other claw parts of the definition rotor are obtained by sequentially copying and rotating the cross-sectional outlines of the first claw part and the second claw part,
The cross-sectional outline of the other claw part of the conjugate rotor is obtained by sequentially copying and rotating the cross-sectional outlines of the first claw part and the second claw part,
The claw-shaped rotor pair device is characterized by the above.
According to a second aspect of the present invention, in the claw-shaped rotor pair device according to the first aspect, each arc needs to satisfy a limiting condition in which the inclination rate of each continuous contact is continuous, and corresponds by a nonlinear equation. The claw-shaped rotor pair device is characterized in that the angle of the third arc is found.
According to a third aspect of the present invention, there is provided the claw-shaped rotor pair device according to the second aspect, wherein the radius of the second arc is obtained by inference combining a nonlinear equation. It is a device.
According to a fourth aspect of the present invention, in the claw-shaped rotor pair device according to the third aspect, the angle of the third arc is derived from a sine theorem, a differential of a function, and a solution equation. A claw-shaped rotor pair device.
According to a fifth aspect of the present invention, there is provided the claw-shaped rotor pair device according to the second aspect, wherein an arc angle given to the first arc and the fourth arc is greater than zero degrees. It is a device.
The invention of claim 6 is a claw-shaped rotor pair device composed of a definition rotor and a conjugate rotor that have the same outer shape and mesh with each other.
The definition rotor and the conjugate rotor have the same outer diameter and pitch circle radius, and the outer diameter is greater than the pitch circle radius, and the definition rotor and the conjugate rotor have the same even number of claws. Have the same claw cross-sectional profile,
The cross-sectional outer shape of the first claw portion of the defining rotor is composed of a three-stage curve in the order of the outer periphery line, the second arc, and the third arc in the counterclockwise direction, and the second arc and the third arc. The angle of these two continuous arcs with respect to the center of the circle of the definition rotor is equal to 360 degrees divided by the number of claws, and the starting point of the outer line is from the center of the circle of the definition rotor It is located at a position obtained by subtracting the outer diameter from the distance twice the pitch circle radius, its end point is at the outer diameter position, the start point of the second arc and the end point of the outer edge line are connected, and the circle The center is on the connecting line of the center of the circle of the definition rotor and the conjugate rotor, and the end point of the third arc is a position obtained by subtracting the outer diameter from twice the radius of the pitch circle. Therefore, the intersection of the second arc and the third arc satisfies the limit condition for continuous slope rate. The need to, by this restriction condition and relationships, can be selected center position of the defined second arc and third arc of a circle, the radius, the value of the arc angle,
The cross-sectional outer shape of the first claw portion of the conjugate rotor is composed of three curves of the second curve, the third curve, and the outer curve in order in the clockwise direction, and the second curve and the third curve. The two continuous curves are the conjugate curves in the conjugate rotor of the second arc and the third arc of the definition rotor, respectively, and the two curves of the conjugate rotor of the second curve and the third curve of the conjugate rotor. The angle with respect to the center of the circle is equal to 360 degrees divided by the number of claws, and the outer line is obtained by duplicating the outer line of the first claw portion of the defining rotor on the conjugate rotor and rotating it appropriately. And
The cross-sectional outer shape of the second claw portion of the definition rotor is composed of a three-stage curve of an outer edge line, a third curve, and a second curve in order in the counterclockwise direction. , Obtained by duplicating the outer shape of the first claw portion of the conjugate rotor on the definition rotor, and rotating it appropriately.
The cross-sectional outer shape of the second claw portion of the conjugate rotor is formed of three stages of curves of a third arc, a second arc, and an outer edge line in order in the clockwise direction, which is the first claw portion of the definition rotor. It is obtained by replicating the outer shape of the conjugated rotor and rotating it appropriately.
The cross-sectional outlines of the other claw parts of the definition rotor are obtained by sequentially copying and rotating the cross-sectional outlines of the first claw part and the second claw part,
The cross-sectional outline of the other claw part of the conjugate rotor is obtained by sequentially copying and rotating the cross-sectional outlines of the first claw part and the second claw part,
The claw-shaped rotor pair device is characterized by the above.
According to a seventh aspect of the present invention, in the claw-shaped rotor pair device according to the sixth aspect, each arc is required to satisfy a limiting condition in which the inclination rate of each continuous contact is continuous, and corresponds by a nonlinear equation. The claw-shaped rotor pair device is characterized in that the angle of the third arc is found.
The invention of claim 8 is the claw-shaped rotor pair device according to claim 7, wherein the radius of the second arc is obtained by inference combining non-linear equations. It is a device.
The invention according to claim 9 is the claw-shaped rotor pair device according to claim 8, wherein the angle of the third arc is derived by using a sine theorem, function differentiation, and a solution equation. A claw-shaped rotor pair device.
A tenth aspect of the present invention is the claw-shaped rotor pair device according to the seventh aspect, wherein an arc angle given to the first arc and the fourth arc is zero degrees. It is a counter device.

本発明は、相互に共役性を以て噛み合う定義回転子と共役回転子に、パラメータで、同じ構造形態の偶数個の噛合爪数を提供でき、並びに回転子の爪部の根部と先端部(すなわち爪部の断面外形)に、連続した滑らかな運動曲線を取得させることができ、二つの回転子の、周期性を以て循環する圧縮運動過程において、騒音と振動の現象を発生させず、且つ十分に、噛み合いにより発生する磨耗と機構疲労を減らすことができ、使用寿命を高めることができる。   The present invention can provide an even number of meshing claws of the same structural form by parameters to a definition rotor and a conjugate rotor meshing with each other in a conjugate manner, as well as the root portion and the tip portion (that is, the claw portion) of the rotor claw. The cross-sectional outline of the part) can obtain a continuous smooth motion curve, and in the compression motion process in which the two rotors circulate with periodicity, without causing noise and vibration phenomenon, Wear and mechanical fatigue generated by meshing can be reduced, and the service life can be increased.

本発明の外形が同じ二つの爪式回転子からなる爪形回転子対装置の第1実施例図である。It is a 1st Example figure of the claw-shaped rotor pair apparatus which consists of two claw-type rotors with the same external shape of this invention. 本発明の外形が同じ二つの爪式回転子からなる爪形回転子対装置の第1実施例図である。It is a 1st Example figure of the claw-shaped rotor pair apparatus which consists of two claw-type rotors with the same external shape of this invention. 本発明の外形が同じ二つの爪式回転子からなる爪形回転子対装置の第1実施例図である。It is a 1st Example figure of the claw-shaped rotor pair apparatus which consists of two claw-type rotors with the same external shape of this invention. 本発明の外形が同じ二つの爪式回転子からなる爪形回転子対装置の第1実施例図である。It is a 1st Example figure of the claw-shaped rotor pair apparatus which consists of two claw-type rotors with the same external shape of this invention. 本発明の外形が同じ二つの爪式回転子からなる爪形回転子対装置の第2実施例図である。It is a 2nd Example figure of the nail | claw-shaped rotor pair apparatus which consists of two claw-type rotors with the same external shape of this invention. 本発明の外形が同じ二つの爪式回転子からなる爪形回転子対装置において、異なるパラメータを入力することで、2爪の爪形回転子対装置とした実施例の表示図である。FIG. 3 is a display diagram of an embodiment of a two-claw claw-shaped rotor pair device by inputting different parameters in a claw-shaped rotor pair device composed of two claw-type rotors having the same external shape according to the present invention. 本発明の外形が同じ二つの爪式回転子からなる爪形回転子対装置において、異なるパラメータを入力することで、4爪の爪形回転子対装置とした実施例の表示図である。FIG. 6 is a display diagram of an embodiment in which a claw-shaped rotor pair device including two claw-type rotors having the same external shape according to the present invention is configured to input a different parameter to form a four-claw claw-shaped rotor pair device. 本発明の外形が同じ二つの爪式回転子からなる爪形回転子対装置において、異なるパラメータを入力することで、8爪の爪形回転子対装置とした実施例の表示図である。FIG. 6 is a display diagram of an embodiment in which an 8-claw claw-shaped rotor pair device is input by inputting different parameters in a claw-shaped rotor pair device composed of two claw-type rotors having the same external shape according to the present invention.

図1から図4を参照されたい。本発明の爪形回転子対装置は、相互に噛み合う定義回転子100及び共役回転子200で構成される。図1に示されるように、本第1実施例は、6爪の同じ構造形態の定義回転子100と共役回転子200の取得を以て紹介する。   Please refer to FIGS. The claw-shaped rotor pair device of the present invention includes a definition rotor 100 and a conjugate rotor 200 that mesh with each other. As shown in FIG. 1, the first embodiment introduces the acquisition of a definition rotor 100 and a conjugate rotor 200 having the same structure form of six claws.

該定義回転子100の第1爪部の断面外形110は、非線形方程式で取得し、すなわち、該定義回転子100の単一爪部の先端部及び根部輪郭を取得し、さらに、共役理論により、共役回転子200の単一爪部の先端部及び根部輪郭を取得する(すなわち、図2に示されるように、共役回転子の第1爪部の断面外形210)。   The cross-sectional outline 110 of the first claw part of the definition rotor 100 is obtained by a nonlinear equation, that is, the tip and root contours of the single claw part of the definition rotor 100 are obtained, and further, according to conjugate theory, The tip and root contours of the single claw portion of the conjugated rotor 200 are acquired (ie, the cross-sectional outline 210 of the first claw portion of the conjugated rotor as shown in FIG. 2).

最後に、それぞれ、定義回転子100と共役回転子200の単一爪部の先端部及び根部輪郭(すなわち第1爪部の断面外形110、210)を、交錯式に複製し回転させれば、偶数倍の同じ爪数と構造形態の定義回転子100と共役回転子200を取得できる。   Finally, if the tip and root contours of the single claw portion of the definition rotor 100 and the conjugate rotor 200 (that is, the cross-sectional outlines 110 and 210 of the first claw portion) are replicated and rotated, respectively, The definition rotator 100 and the conjugate rotator 200 having the same number of claws and structure forms that are even multiples can be acquired.

図1及び図2に示されるように、第1実施例の6爪の定義回転子100と共役回転子200は、同じ偶数個の爪部と同じ爪部断面外形を有し、製造上、該定義回転子100及び共役回転子200は同じ外径r及びピッチ円半径rpを有し、且つ外径rはピッチ円半径rpよりも大きくなければならない。 As shown in FIGS. 1 and 2, the six-claw definition rotor 100 and the conjugate rotor 200 of the first embodiment have the same even number of claw parts and the same claw section cross-sectional outline, The definition rotor 100 and the conjugate rotor 200 have the same outer diameter r and pitch circle radius r p , and the outer diameter r must be larger than the pitch circle radius r p .

該定義回転子100の第1爪部の断面外形110は、図1に示されるように、逆時計方向に、順に、外擺線115、第1円弧111、第2円弧112、第3円弧113、第4円弧114の5段で構成されている。そのうち、四つの互いに連なる円弧の、定義回転子100の円の中心に対する角度は、360度を爪数2nで割ったものに等しい。第1円弧111及び第4円弧114の円の中心位置は、いずれも定義回転子100の円の中心C1に位置し、且つ同じ円弧角αを有する。 As shown in FIG. 1, the cross-sectional outer shape 110 of the first claw portion of the definition rotor 100 is, in order, in the counterclockwise direction, the outer winding line 115, the first arc 111, the second arc 112, and the third arc 113. The fourth arc 114 is composed of five stages. Among them, the angle of the four arcs connected to each other with respect to the center of the circle of the definition rotor 100 is equal to 360 degrees divided by the number of claws 2n. The center positions of the circles of the first arc 111 and the fourth arc 114 are both located at the center C 1 of the circle of the definition rotor 100 and have the same arc angle α.

第1円弧111の半径と定義回転子100の定義回転子100の外径rは同じであり、第4円弧114の半径は、ピッチ円半径rpの2倍から外径rを減じたものとされ、四つの、順に連なる各円弧は、各連接点にあって、その傾斜率が連続する制限条件を満足させなければならず、この制限条件及びその幾何関係により、適宜第2円弧112及び第3円弧113の円の中心位置CB、CC 、外径rn、rc、円弧角β、γ等の数値を選定できる。 The radius of the first arc 111 and the outer diameter r of the definition rotor 100 of the definition rotor 100 are the same, and the radius of the fourth arc 114 is obtained by subtracting the outer diameter r from twice the pitch circle radius r p. Each of the four arcs connected in sequence must satisfy the limiting condition that the inclination rate is continuous at each connecting point. According to the limiting condition and the geometrical relationship, the second arc 112 and the second arc are appropriately set. Numerical values such as the center positions C B and C C of the circle of the three arcs 113, the outer diameters r n and r c , and the arc angles β and γ can be selected.

上述の第2円弧112の外径rBは、非線形方程式により推論され、該非線形方程式は以下のとおりである。 The outer diameter r B of the second arc 112 described above is inferred by a nonlinear equation, and the nonlinear equation is as follows.

Figure 0005597688
そのうち、γは第3円弧113の対応角度とされ、bは、ピッチ円半径rpの2倍と定義回転子110の外径rとの差数を、第3円弧113の外径rcより減じたものとされる(b =rc−(2rp−r))。
Figure 0005597688
Γ is the corresponding angle of the third arc 113, and b is the difference between the pitch circle radius r p and the outer diameter r of the definition rotor 110 from the outer diameter r c of the third arc 113. (B = r c − (2r p −r)).

且つ以下の非線形方程式により対応するγ値及び未知のパラメータを探し出す。   And the corresponding γ value and unknown parameter are found by the following nonlinear equation.

Figure 0005597688
Figure 0005597688

上述の該γ値は、正弦定理、関数の微分を利用し、並びに解方程式により推導される。また、該第1円弧111と第4円弧114の円弧角αは、非線形方程式に代入する時に与えられる値は零度より大きい。   The above-mentioned γ value is derived by using a sine theorem, function differentiation, and a solution equation. Further, the arc angle α of the first arc 111 and the fourth arc 114 is greater than zero when given to the nonlinear equation.

該共役回転子200の第1爪部の断面210の外形は、図2に示されるようであり、時計回り方向に、順に、第1曲線211、第2曲線212、第3曲線213、第4曲線214、外擺線215の5段で構成される。   The outer shape of the cross section 210 of the first claw portion of the conjugate rotor 200 is as shown in FIG. 2, and in the clockwise direction, the first curve 211, the second curve 212, the third curve 213, the fourth It is composed of five stages of a curve 214 and an outer fence line 215.

そのうち、第1曲線211、第2曲線212、第3曲線213、第4曲線214の曲線は、それぞれ定義回転子の第1から第4円弧111、112、113、114の、共役回転子200に位置する共役曲線とされる。   Among them, the first curve 211, the second curve 212, the third curve 213, and the fourth curve 214 are respectively connected to the conjugate rotor 200 of the first to fourth arcs 111, 112, 113, and 114 of the definition rotor. The conjugate curve is located.

第1曲線211、第2曲線212、第3曲線213、第4曲線214の四つの曲線の、共役回転子200の円の中心C2に対する角度は、360度を爪数2nで割ったものに等しい。外擺線215は、定義回転子の第1爪部の断面外形110の外擺線115を共役回転子200に複製し、並びに適宜回転させることで得られる。 The first curve 211, second curve 212, the third curve 213, four curves, angles with respect to the center C 2 of the circle conjugate rotor 200 of the fourth curve 214 is the one obtained by dividing 360 degrees claw number 2n equal. The outer wire 215 is obtained by copying the outer wire 115 of the cross-sectional outline 110 of the first claw portion of the definition rotor to the conjugate rotor 200 and rotating it appropriately.

該定義回転子100の第2爪部の断面外形120(図3参照)は、逆時計回り方向に、順に、外擺線125、第4曲線124、第3曲線123、第2曲線122、第1曲線121の5段の曲線で構成されている。   The cross-sectional outer shape 120 (see FIG. 3) of the second claw portion of the definition rotor 100 is, in order, in the counterclockwise direction, the outer winding line 125, the fourth curve 124, the third curve 123, the second curve 122, the first curve It is composed of five curves, one curve 121.

そのうち、この5段曲線は、共役回転子200の第1爪部の断面外形210(図2に示されるとおり)を定義回転子100に複製し、並びに適当に回転させて得られる。   Among them, the five-step curve is obtained by copying the cross-sectional outline 210 (as shown in FIG. 2) of the first claw portion of the conjugate rotor 200 to the definition rotor 100 and rotating it appropriately.

該定義回転子100のその他の爪部(第3爪部及び第4爪部、第5爪部及び第6爪部、...)の断面外形は、その第1爪部110及び第2爪部120の断面外形を複製し回転させて得られる。   The cross-sectional outlines of the other claw portions (third claw portion and fourth claw portion, fifth claw portion and sixth claw portion,...) Of the definition rotor 100 are the first claw portion 110 and the second claw portion. It is obtained by duplicating and rotating the cross-sectional outline of the portion 120.

該共役回転子200の第2爪部の断面外形220(図4参照)は、時計回り方向に、順に、第4円弧224、第3円弧223、第2円弧222、第1円弧221、外擺線225の5段の曲線で構成されている。   The cross-sectional outer shape 220 (see FIG. 4) of the second claw portion of the conjugate rotor 200 has a fourth arc 224, a third arc 223, a second arc 222, a first arc 221 and an outer casing in order in the clockwise direction. The line 225 is composed of five curves.

そのうち、この5段の互いに連なる曲線は、定義回転子100の第1爪部110(図1参照)の断面外形を共役回転子200に複製し、並びに適宜回転させて得られる。   Of these, the five continuous curves are obtained by copying the cross-sectional outline of the first claw portion 110 (see FIG. 1) of the definition rotor 100 to the conjugate rotor 200 and rotating it appropriately.

該共役回転子200のその他の爪部(第3爪部、第4爪部、第5爪部及び第6爪部、...)の断面外形は、その第1爪部210及び第2爪部220の断面外形を複製し回転させて得られる。   The cross-sectional outlines of the other claw portions (third claw portion, fourth claw portion, fifth claw portion, sixth claw portion,...) Of the conjugate rotor 200 are the first claw portion 210 and the second claw portion. It is obtained by duplicating and rotating the cross-sectional outline of the portion 220.

図5は本発明の外形が同じ二つの爪形回転子からなる爪形回転子対装置の第2実施例を示す。それは、第1実施例と同様に、6爪の同じ構造形態の定義回転子100と共役回転子200の取得を以て紹介する。   FIG. 5 shows a second embodiment of a claw-shaped rotor pair device comprising two claw-shaped rotors having the same external shape according to the present invention. As in the first embodiment, it introduces the acquisition of the definition rotor 100 and the conjugate rotor 200 having the same structure form of 6 claws.

第2実施例の第1実施例との違いは、第2実施例においては、該定義回転子100の第1爪部110の断面外形が、逆時計回り方向にあって、順に、わずかに外擺線115、第2円弧112及び第3円弧113の三段の曲線で構成されており、また、非線形方程式に代入する時に与える第1円弧111及び第4円弧114の角度αは、零度に等しい。   The difference between the second embodiment and the first embodiment is that, in the second embodiment, the cross-sectional outer shape of the first claw portion 110 of the definition rotor 100 is in the counterclockwise direction and is slightly removed in order. It is composed of a three-stage curve of a saddle 115, a second arc 112, and a third arc 113, and the angle α of the first arc 111 and the fourth arc 114 given when substituting into the nonlinear equation is equal to zero degrees. .

該共役回転子200の第1爪部210の断面外形は、時計回り方向に、順に、第2曲線212、第3曲線213、外擺線115等の三段で構成され、その他の構造形成方式はいずれも第1実施例と同じである。   The cross-sectional outer shape of the first claw portion 210 of the conjugate rotator 200 is configured in three stages of a second curve 212, a third curve 213, and an outer wire 115 in order in the clockwise direction. Are the same as in the first embodiment.

本発明の爪形回転子対装置は、上述のように6爪の同じ構造形態の定義回転子100と共役回転子200の取得を以て紹介され、外形が同じ二つの爪式回転子の噛み合う爪の態様を明らかに理解できる。   The claw-shaped rotor pair device of the present invention was introduced with the acquisition of the definition rotor 100 and the conjugate rotor 200 having the same structure form of 6 claws as described above. The aspect can be clearly understood.

図6から図8を参照されたい。本発明の実施例の条件で、十分に、パラメータで偶数の噛合爪数、すなわち、爪数2n、ピッチ円半径rp、定義回転子100の半径r、各円弧の半径及び円弧角などをパラメータで設計し、異なるパラメータを入力することにより、2爪、4爪及び8爪等の、同じ構造形態の回転子を取得する。さらに、本発明は、相互に共役性を以て噛み合う定義回転子100と共役回転子200に、異なるパラメータで、偶数倍の噛合爪数2nを提供でき、並びに回転子の爪部の根部と先端部に、連続する滑らかな運動曲線を取得させることができる。 Please refer to FIGS. Under the conditions of the embodiment of the present invention, the number of meshing claws with even number of parameters, that is, the number of claws 2n, the pitch circle radius r p , the radius r of the defining rotor 100, the radius and arc angle of each arc, etc. The rotor having the same structure form, such as 2 claws, 4 claws, and 8 claws, is acquired by designing with different parameters. Furthermore, the present invention can provide the defining rotor 100 and the conjugate rotor 200 meshing with each other in a conjugate manner with an even multiple of the number of meshing claws 2n with different parameters, and at the root and tip of the rotor claw. A continuous smooth motion curve can be acquired.

図6に示される2爪の関係パラメータは、以下のとおりである。すなわち、爪数2n=2、ピッチ円半径rp=40、定義回転子100の半径r=60、第3円弧113の半径rc=300、第1円弧111の円弧角α=5度、第4円弧114の円弧角α=5度である。 The relationship parameters of the two claws shown in FIG. 6 are as follows. That is, the number of claws 2n = 2, the pitch circle radius r p = 40, the radius r = 60 of the definition rotor 100, the radius r c = 300 of the third arc 113, the arc angle α = 5 degrees of the first arc 111, the first The arc angle α of the four arcs 114 is 5 degrees.

図7に示される4爪の関係パラメータは、以下のとおりである。すなわち、爪数2n=4、ピッチ円半径rp=48、定義回転子100の半径r=60、第3円弧113の半径rc=300、第1円弧111の円弧角α=5度、第4円弧114の円弧角α=5度である。 The related parameters of the four claws shown in FIG. 7 are as follows. That is, the number of claws 2n = 4, the pitch circle radius r p = 48, the radius r of the definition rotor 100 = 60, the radius r c = 300 of the third arc 113, the arc angle α of the first arc 111 = 5 degrees, The arc angle α of the four arcs 114 is 5 degrees.

図8に示される8爪の関係パラメータは、以下のとおりである。すなわち、爪数2n=8、ピッチ円半径rp=55、定義回転子100の半径r=60、第3円弧113の半径rc=300、第1円弧111の円弧角α=2度、第4円弧114の円弧角α=2度である。 The related parameters for the 8 claws shown in FIG. 8 are as follows. That is, the number of claws 2n = 8, the pitch circle radius r p = 55, the radius r of the definition rotor 100 = 60, the radius r c = 300 of the third arc 113, the arc angle α = 2 degrees of the first arc 111, the first The arc angle α of the four arcs 114 is 2 degrees.

上述したように、本発明は十分に、相互に共役性を以て噛み合う定義回転子100と共役回転子200に、パラメータで、同じ構造形態の偶数個の噛合爪数を提供でき、並びに回転子の爪部の根部と先端部(すなわち爪部の断面外形)に、連続した滑らかな運動曲線を取得させることができ、二つの回転子の、周期性を以て循環する圧縮運動過程において、騒音と振動の現象を発生させず、且つ十分に、噛み合いにより発生する磨耗と機構疲労を減らすことができ、使用寿命を高めることができる。   As described above, the present invention can provide the definition rotor 100 and the conjugate rotor 200, which are meshed with each other in a conjugate manner, with an even number of meshing claws having the same structure as parameters, and the rotor claws. The root and tip of the part (that is, the cross-sectional outline of the claw part) can acquire a continuous smooth motion curve, and the noise and vibration phenomenon in the compression motion process of two rotors circulating with periodicity In addition, the wear and mechanical fatigue caused by the meshing can be reduced sufficiently, and the service life can be increased.

総合すると、本発明の、外形が同じ二つの爪式回転子からなる爪形回転子対装置は、確実に本発明の目的を達成でき、特許の要件に符合する。ただし、以上述べたことは、本発明の実施例にすぎず、本発明の実施の範囲を限定するものではなく、本発明の特許請求の範囲に基づきなし得る同等の変化と修飾は、いずれも本発明の権利のカバーする範囲内に属するものとする。   In summary, the claw-shaped rotor pair device of the present invention comprising two claw-type rotors having the same outer shape can reliably achieve the object of the present invention and meet the requirements of the patent. However, what has been described above is merely an example of the present invention, and does not limit the scope of the present invention, and any equivalent changes and modifications that can be made based on the scope of the claims of the present invention. It belongs to the scope covered by the rights of the present invention.

100 定義回転子
110 定義回転子の第1爪部の断面外形
120 定義回転子の第2爪部の断面外形
200 共役回転子
210 共役回転子の第1爪部の断面外形
220 共役回転子の第2爪部の断面外形
r 回転子外径
p ピッチ円半径
1 定義回転子の円の中心
2 共役回転子の円の中心
B 第2円弧の円の中心
c 第3円弧の円の中心
α、β、γ 円弧角
111、221 第1円弧
112、222 第2円弧
113、223 第3円弧
114、224 第4円弧
121、211 第1曲線
122、212 第2曲線
123、213 第3曲線
124、214 第4曲線
115、125、215、225 外擺線
2n 爪数
各爪の角度 θ=π/n
100 Defined rotor 110 Cross sectional outline 120 of the first claw part of the defined rotor 120 Cross sectional outline of the second claw part of the defined rotor 200 Conjugate rotor 210 Cross sectional outline 220 of the first claw part of the conjugate rotor 2 Cross-sectional outline of claw r Rotor outer diameter r P Pitch circle radius C 1 Definition Rotor circle center C 2 Conjugate rotor circle center C B Second arc circle center C c Third arc circle Center α, β, γ arc angle 111, 221 first arc 112, 222 second arc 113, 223 third arc 114, 224 fourth arc 121, 211 first curve 122, 212 second curve 123, 213 third Curves 124, 214 Fourth curve 115, 125, 215, 225 Outer wire 2n Number of claws Angle of each nail θ = π / n

Claims (10)

外形が同じで相互に噛み合う定義回転子と共役回転子で構成された爪形回転子対装置において、
該定義回転子及び共役回転子は、同じ外径及びピッチ円半径を有し、且つ該外径は、該ピッチ円半径より大きく、該定義回転子と該共役回転子は同じ偶数の爪部と同じ爪部断面外形を有し、
該定義回転子の第1爪部の断面外形は、逆時計回り方向に、順に、外擺線、第1円弧、第2円弧、第3円弧、第4円弧の、5段の曲線で構成され、そのうち、四つの互いに連なる円弧の、定義回転子の円の中心に対する角度は、360度を爪数で割ったものに等しく、第1円弧及び第4円弧の円の中心位置は、いずれも定義回転子の円の中心に位置し、且つ同じ円弧角を有し、第1円弧の半径と定義回転子の外径は同じであり、第4円弧の半径は、ピッチ円半径の2倍から外径を減じたものとされ、順に連なる四つの各円弧は、各連接点の傾斜率が連続する制限条件を満足させ、この制限条件及びその幾何関係により、適宜第2円弧及び第3円弧の円の中心位置、半径、円弧角の数値を選定し、
該共役回転子の第1爪部の断面外形は、時計回りの方向に、順に第1曲線、第2曲線、第3曲線、第4曲線、外擺線の5段の曲線で構成され、第1曲線、第2曲線、第3曲線、第4曲線の4段の曲線は、それぞれ定義回転子の第1から第4円弧の、共役回転子における共役曲線とされ、第1曲線、第2曲線、第3曲線、第4曲線の、互いに連なる四つの曲線の、共役回転子の円の中心に対する角度は、360度を爪数で割ったものに等しく、該共役回転子の外擺線は、定義回転子の第1爪部の外擺線を共役回転子に複製し、並びに適宜回転させることで得られ、
該定義回転子の第2爪部の断面外形は、逆時計回りの方向に、順に、外擺線、第4曲線、第3曲線、第2曲線、第1曲線の5段の曲線で構成され、それは、共役回転子の第1爪部の外形を定義回転子に複製し、並びに適宜回転させることで得られ、
該共役回転子の第2爪部の断面外形は、時計回り方向に、順に、第4円弧、第3円弧、第2円弧、第1円弧、外擺線の5段の曲線で構成され、それは定義回転子の第1爪部の外形を共役回転子に複製し、並びに適宜回転させることで得られ、
該定義回転子のその他の爪部の断面外形は、順に、その第1爪部及び第2爪部の断面外形を複製し回転させることで得られ、
該共役回転子のその他の爪部の断面外形は、順に、その第1爪部及び第2爪部の断面外形を複製し回転させることで得られ、
以上を特徴とする、爪形回転子対装置。
In a claw-shaped rotor pair device composed of a definition rotor and a conjugate rotor that have the same outer shape and mesh with each other,
The definition rotor and the conjugate rotor have the same outer diameter and pitch circle radius, and the outer diameter is greater than the pitch circle radius, and the definition rotor and the conjugate rotor have the same even number of claws. Have the same claw cross-sectional profile,
The cross-sectional outer shape of the first claw portion of the definition rotor is composed of a five-step curve in order of an outer periphery line, a first arc, a second arc, a third arc, and a fourth arc in the counterclockwise direction. Of these, the angle of the four consecutive arcs with respect to the center of the circle of the definition rotor is equal to 360 degrees divided by the number of claws, and the center positions of the first and fourth arcs are both defined. Located at the center of the rotor circle and having the same arc angle, the radius of the first arc is the same as the outer diameter of the defining rotor, and the radius of the fourth arc is from twice the pitch circle radius. Each of the four circular arcs that are successively reduced in diameter satisfies the limiting condition that the inclination rate of each connecting contact is continuous, and according to the limiting condition and its geometrical relationship, the circles of the second arc and the third arc are appropriately set. Select the numerical value of the center position, radius, and arc angle of
The cross-sectional outer shape of the first claw portion of the conjugate rotator is composed of five steps of curves in the clockwise direction: a first curve, a second curve, a third curve, a fourth curve, and an outer rim line in order. The four curves of the first curve, the second curve, the third curve, and the fourth curve are the conjugate curves in the conjugate rotor of the first to fourth arcs of the definition rotor, and the first curve and the second curve. The angle of the four curves connected to each other of the third curve and the fourth curve with respect to the center of the circle of the conjugate rotator is equal to 360 degrees divided by the number of claws. It is obtained by duplicating the outer claw line of the first claw part of the definition rotor on the conjugate rotor and rotating it appropriately,
The cross-sectional outer shape of the second claw portion of the definition rotor is composed of a five-step curve in the order of the counterclockwise direction, that is, outer line, fourth curve, third curve, second curve, and first curve. , It is obtained by duplicating the outer shape of the first claw part of the conjugate rotor to the definition rotor, and rotating it appropriately.
The cross-sectional outer shape of the second claw portion of the conjugate rotator is configured by five steps of a fourth arc, a third arc, a second arc, a first arc, and an outer edge line in order in the clockwise direction. It is obtained by duplicating the outer shape of the first claw part of the definition rotor on the conjugate rotor and rotating it appropriately.
The cross-sectional outlines of the other claw parts of the definition rotor are obtained by sequentially copying and rotating the cross-sectional outlines of the first claw part and the second claw part,
The cross-sectional outline of the other claw part of the conjugate rotor is obtained by sequentially copying and rotating the cross-sectional outlines of the first claw part and the second claw part,
A claw-shaped rotor pair device characterized by the above.
請求項1記載の爪形回転子対装置において、そのうち、各円弧は各連接点のその傾斜率が連続する制限条件を満足させる必要があり、並びに非線形方程式により対応する第3円弧の角度が探し出されることを特徴とする、爪形回転子対装置。   2. The claw-shaped rotor pair device according to claim 1, wherein each of the arcs must satisfy a limiting condition that the inclination rate of each of the contact points is continuous, and a corresponding third arc angle is found by a nonlinear equation. Claw-shaped rotor pair device, characterized in that it is delivered. 請求項2記載の爪形回転子対装置において、そのうち、該第2円弧の半径は非線形方程式を組み合わせた推論により取得されることを特徴とする、爪形回転子対装置。   3. The claw-shaped rotor pair device according to claim 2, wherein the radius of the second arc is obtained by inference combining a nonlinear equation. 請求項3記載の爪形回転子対装置において、そのうち、該第3円弧の角度は正弦定理、関数の微分を利用し、並びに解方程式により推導されることを特徴とする、爪形回転子対装置。   4. The claw-shaped rotor pair device according to claim 3, wherein the angle of the third arc is derived from a sine theorem, a function differentiation, and a solution equation. apparatus. 請求項2記載の爪形回転子対装置において、そのうち、該第1円弧と第4円弧に与えられる円弧角度は零度より大きいことを特徴とする、爪形回転子対装置。   3. The claw-shaped rotor pair device according to claim 2, wherein an arc angle given to the first arc and the fourth arc is larger than zero degrees. 外形が同じで相互に噛み合う定義回転子と共役回転子で構成された爪形回転子対装置において、
該定義回転子及び共役回転子は、同じ外径及びピッチ円半径を有し、且つ該外径は、該ピッチ円半径より大きく、該定義回転子と該共役回転子は同じ偶数の爪部と同じ爪部断面外形を有し、
該定義回転子の第1爪部の断面外形は、逆時計回り方向に、順に、外擺線、第2円弧、第3円弧の、3段の曲線で構成され、第2円弧及び第3円弧の、これら二つの互いに連なる円弧の、定義回転子の円の中心に対する角度は、360度を爪数で割ったものに等しく、該外擺線の開始点は、定義回転子の円の中心から、ピッチ円半径の2倍の距離から外径を減じた距離の位置にあり、その終了点は、外径の位置にあり、第2円弧の開始点と外擺線の終了点は接続され、その第2円弧の中心は該定義回転子と共役回転子の円の中心の連接線上にあり、第3円弧の終了点はピッチ円半径の2倍より外径を減じた位置とされ、その位置は、定義回転子にあって、360度を爪数で割った直線方向上にあり、第2円弧と第3円弧の交点は、傾斜率連続の制限条件を満足させる必要があり、この制限条件及びその幾何関係により、定義第2円弧及び第3円弧の円の中心位置、半径、円弧角の数値を選定でき、
該共役回転子の第1爪部の断面外形は、時計回りの方向に、順に第2曲線、第3曲線、外擺線の3段の曲線で構成され、第2曲線、第3曲線のこれら二つの互いに連なる曲線は、それぞれ定義回転子の第2円弧、第3円弧の、共役回転子における共役曲線とされ、第2曲線、第3曲線の、互いに連なる二つの曲線の、共役回転子の円の中心に対する角度は、360度を爪数で割ったものに等しく、外擺線は定義回転子の第1爪部の外擺線を共役回転子に複製し、並びに適宜回転させることで得られ、
該定義回転子の第2爪部の断面外形は、逆時計回りの方向に、順に、外擺線、第3曲線、第2曲線の3段の曲線で構成され、これら三つの互いに連なる曲線は、共役回転子の第1爪部の外形を定義回転子に複製し、並びに適宜回転させることで得られ、
該共役回転子の第2爪部の断面外形は、時計回り方向に、順に、第3円弧、第2円弧、外擺線の3段の曲線で構成され、それは定義回転子の第1爪部の外形を共役回転子に複製し、並びに適宜回転させることで得られ、
該定義回転子のその他の爪部の断面外形は、順に、その第1爪部及び第2爪部の断面外形を複製し回転させることで得られ、
該共役回転子のその他の爪部の断面外形は、順に、その第1爪部及び第2爪部の断面外形を複製し回転させることで得られ、
以上を特徴とする、爪形回転子対装置。
In a claw-shaped rotor pair device composed of a definition rotor and a conjugate rotor that have the same outer shape and mesh with each other,
The definition rotor and the conjugate rotor have the same outer diameter and pitch circle radius, and the outer diameter is greater than the pitch circle radius, and the definition rotor and the conjugate rotor have the same even number of claws. Have the same claw cross-sectional profile,
The cross-sectional outer shape of the first claw portion of the defining rotor is composed of a three-stage curve in the order of the outer periphery line, the second arc, and the third arc in the counterclockwise direction, and the second arc and the third arc. The angle of these two continuous arcs with respect to the center of the circle of the definition rotor is equal to 360 degrees divided by the number of claws, and the starting point of the outer line is from the center of the circle of the definition rotor , Located at a distance obtained by subtracting the outer diameter from the distance twice the pitch circle radius, its end point is at the outer diameter position, and the start point of the second arc and the end point of the outer edge line are connected, The center of the second arc is on the connecting line between the circles of the definition rotor and the conjugate rotor, and the end point of the third arc is a position obtained by subtracting the outer diameter from twice the radius of the pitch circle. Is in the definition rotor and is on a straight line direction obtained by dividing 360 degrees by the number of claws, and the intersection of the second arc and the third arc is a continuous slope rate Must satisfy the limiting condition by the limiting conditions and relationships, can be selected center position of the defined second arc and third arc of a circle, the radius, the value of the arc angle,
The cross-sectional outer shape of the first claw portion of the conjugate rotor is composed of three curves of the second curve, the third curve, and the outer curve in order in the clockwise direction, and the second curve and the third curve. The two continuous curves are the conjugate curves in the conjugate rotor of the second arc and the third arc of the definition rotor, respectively, and the two curves of the conjugate rotor of the second curve and the third curve of the conjugate rotor. The angle with respect to the center of the circle is equal to 360 degrees divided by the number of claws, and the outer line is obtained by duplicating the outer line of the first claw portion of the defining rotor on the conjugate rotor and rotating it appropriately. And
The cross-sectional outer shape of the second claw portion of the definition rotor is composed of a three-stage curve of an outer edge line, a third curve, and a second curve in order in the counterclockwise direction. , Obtained by duplicating the outer shape of the first claw portion of the conjugate rotor on the definition rotor, and rotating it appropriately.
The cross-sectional outer shape of the second claw portion of the conjugate rotor is formed of three stages of curves of a third arc, a second arc, and an outer edge line in order in the clockwise direction, which is the first claw portion of the definition rotor. It is obtained by replicating the outer shape of the conjugated rotor and rotating it appropriately.
The cross-sectional outlines of the other claw parts of the definition rotor are obtained by sequentially copying and rotating the cross-sectional outlines of the first claw part and the second claw part,
The cross-sectional outline of the other claw part of the conjugate rotor is obtained by sequentially copying and rotating the cross-sectional outlines of the first claw part and the second claw part,
A claw-shaped rotor pair device characterized by the above.
請求項6記載の爪形回転子対装置において、そのうち、各円弧は各連接点のその傾斜率が連続する制限条件を満足させる必要があり、並びに非線形方程式により対応する第3円弧の角度が探し出されることを特徴とする、爪形回転子対装置。   7. The claw-shaped rotor pair device according to claim 6, wherein each arc needs to satisfy a limiting condition that the slope of each connecting contact is continuous, and an angle of the corresponding third arc is found by a nonlinear equation. Claw-shaped rotor pair device, characterized in that it is delivered. 請求項7記載の爪形回転子対装置において、そのうち、該第2円弧の半径は非線形方程式を組み合わせた推論により取得されることを特徴とする、爪形回転子対装置。   The claw-shaped rotor pair device according to claim 7, wherein the radius of the second arc is obtained by inference combining a nonlinear equation. 請求項8記載の爪形回転子対装置において、そのうち、該第3円弧の角度は正弦定理、関数の微分を利用し、並びに解方程式により推導されることを特徴とする、爪形回転子対装置。   9. The claw-shaped rotor pair device according to claim 8, wherein the angle of the third arc is derived from a sine theorem, a function differentiation, and a solution equation. apparatus. 請求項7記載の爪形回転子対装置において、そのうち、該第1円弧と第4円弧に与えられる円弧角度は零度とされることを特徴とする、爪形回転子対装置。   8. The claw-shaped rotor pair device according to claim 7, wherein an arc angle given to the first arc and the fourth arc is zero degrees.
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