CN106989021A - A kind of complete smooth three screw pump screw rotor - Google Patents

Abstract

The invention discloses a kind of complete smooth three screw pump screw rotor, including driving screw rod rotor, left driven screw rotor and right driven screw rotor, left driven screw rotor is identical with right driven screw rotor；The section molded line of driving screw rod rotor includes：It can realize and be smoothly connected between 8 sections of circular arcs, 4 sections of arc envelope lines, each section of adjacent curve；The section molded line of driven screw rotor includes：It can realize and be smoothly connected between 8 sections of circular arcs, 4 sections of arc envelope lines, each section of adjacent curve；In the course of the work, main driven screw rotor can realize correct engagement.Present invention improves the mechanical characteristic of rotor, the abrasion that rotor is produced in engagement process is reduced, the service life to rotor is significantly increased；And the constituent curve of complete smooth screw rotor is simple, only including circular arc and arc envelope line both curves, it is easy to processing.

Description

A kind of complete smooth three screw pump screw rotor

Technical field

The invention belongs to field of fluid machinery, specifically, it is related to a kind of complete smooth three screw pump screw rotor.

Background technology

Three screw pump is a kind of helicoid fluid machinery, with flow it is big, operate steadily, the small advantage of noise, extensively should For oil, chemical industry, ship, environmental protection industry (epi)；Its core component is a driving screw rod rotor and positioned at driving screw rod rotor two Two driven screw rotors of side, the profile of screw rotor directly affects the sealing property of pump, mechanical property；Three common screw rods The driving screw rod rotor section molded line of pump is made up of root circle, cycloid and outside circle, and driven screw rotor section molded line is by tooth root Circle, prolate epicycloid and outside circle composition；This rotor either driving screw rod or driven screw, its section molded line are present Rough point；In the course of work, rotor can produce stress concentration at rough point, easily wear and tear, cause the rotor longevity Life reduction, aggravates the leakage of pump.

Publication No. CN205937106U patent discloses a kind of three screw rods of circular arc modified tooth profile, driven screw section Molded line is made up of transition arc, prolate epicycloid, root circle and outside circle, and driving screw rod section molded line is by arc envelope line, tooth Tip circle and root circle composition；But the arc envelope line and outside circle on the molded line of driving screw rod section are not still smoothly connected , stress concentration can be produced in the course of work, and easily wear and tear, cause the leakage of pump to aggravate.

The content of the invention

Cause service life reduction to solve to exist on the molded line of rotor section cusp rotor, the problem of leaking serious, also for The molded line type of abundant three screw pump screw rotor, the present invention proposes a kind of complete smooth three screw pump screw rotor.Turning On the section molded line of son, the engagement system of original point and cycloid is replaced using the engagement system of circular arc and arc envelope line, together When ensure to smoothly transit between each section of adjacent curve, then the section molded line of rotor is deployed along helix, so as to obtain complete smooth Screw rotor.The present invention ensure that screw rotor realizes correct engagement in the course of the work, while by screw rotor section Engaging for original point and curve is transformed into engaging for curve and curve on molded line, improves the service life of screw rotor, changes It has been apt to the sealing property of pump, has improved the transfer efficiency of pump；And the constituent curve of complete smooth screw rotor section molded line is simple, Only include circular arc and arc envelope line both curves, be easy to processing and manufacturing.

To achieve these goals, the present invention is adopted the following technical scheme that：

A kind of complete smooth three screw pump screw rotor, including：Driving screw rod rotor (1), left driven screw rotor (2), Right driven screw rotor (3)；It is characterized in that：The section molded line (202) and right driven screw rotor of left driven screw rotor (2) (3) section molded line (203) is identical；The section molded line (201) of driving screw rod rotor (1), right driven screw rotor (3) Section molded line (203) is centrosymmetric respectively about the respective centre of gyration O, o, i.e., driving screw rod rotor (1) is with its revolution Rotated centered on heart point O after 180 °, the section molded line (201) of the driving screw rod rotor (1) with not rotating is completely superposed, and point O is The symmetrical centre of the section molded line (201) of driving screw rod rotor (1)；The section molded line (203) of right driven screw rotor (3) is with it Rotated centered on centre of gyration point o after 180 °, with section molded line (203) weight completely for the right driven screw rotor (3) not rotated Close, point o is the symmetrical centre of the section molded line (203) of right driven screw rotor (3)；The section molded line of driving screw rod rotor (1) (201) on symmetrical using the centre of gyration O coordinate system xOy set up by origin x-axis, y-axis；Right driven screw rotor (3) Section molded line (203) is on symmetrical using the centre of gyration o coordinate system xoy set up by origin x-axis, y-axis；Driving screw rod rotor (1) section molded line (201), the section molded line (202) of left driven screw rotor (2), the section type of right driven screw rotor (3) Line (203) is all complete smooth；The section molded line (201) of driving screw rod rotor (1) includes：8 sections of circular arcs, 4 sections of arc envelope lines, Its a quarter for constituting molded line is followed successively by the direction of the clock：First tooth root circular arc AB, the first arc envelope line BC, first connects Meet circular arc C D, the first addendum circle arc DE；The section molded line (203) of right driven screw rotor (3) includes：8 sections of circular arcs, 4 sections of circular arcs Envelope, its a quarter for constituting molded line is followed successively by counterclockwise：3rd addendum circle arc ab, the 3rd connection circular arc bc, Three-arc envelope cd, the 3rd tooth root circular arc de.

A kind of complete smooth three screw pump screw rotor, it is characterized in that：In the course of the work, driving screw rod rotor (1) Section molded line (201) and section molded line (202), the section molded line of right driven screw rotor (3) of left driven screw rotor (2) (203) correct engagement can be realized, meshing relation is：Root circle on the section molded line (201) of driving screw rod rotor (1) Arc AB, arc envelope line BC, connect circular arc C D, the section molded line (203) of addendum circle arc DE respectively with right driven screw rotor (3) On addendum circle arc ab, connect circular arc bc, arc envelope line cd, tooth root circular arc de correspondence engage.

A kind of complete smooth three screw pump screw rotor, it is characterized in that：Driving screw rod rotor (1) section molded line (201) The equation of each constituent curve is as follows：

1. tooth root circular arc AB equation is：

2. arc envelope line BC equation is：

Angle [alpha] is determined, curve C is sought₁With curve C₂Intersection point M₁(x₀,y₀)、M₂(x₀,-y₀),

3. connection circular arc C D equation is：

4. addendum circle arc DE equation is：

Driving screw rod rotor (1) section molded line (201) is symmetrical on x-axis, y-axis, and remaining curve is obtained according to symmetry Equation；

The equation of each constituent curve of right driven screw rotor (3) section molded line (203) is as follows：

1. addendum circle arc ab equation is：

2. connection circular arc bc equation is：

3. arc envelope line cd equation is：

Wherein

4. tooth root circular arc de equation is：

The section molded line (203) of right driven screw rotor (3) is symmetrical on x-axis, y-axis, and remaining is obtained according to symmetry The equation of curve；

More than：T-angle parameter, rad；R_j- pitch radius, mm；R-connection arc radius, mm；θ_a- driving screw rod is cut The addendum circle arc central angle of face molded line, rad；R₁- driving screw rod radius of addendum, mm；r₂- driven screw root radius, mm。

A kind of three screw pump, it is characterized in that：Turned using a kind of complete smooth three screw pump screw rod as claimed in claim 1 Son.

The beneficial effects of the invention are as follows：

1. the engagement system of original point and cycloid is replaced using the engagement system of circular arc and arc envelope line, realizes and turn Being smoothly connected between each adjacent curve on sub- section molded line, reduces abrasion of the rotor in engagement process, improves screw rod and turns The service life of son, improves the mechanical characteristic of screw rotor；

2. the constituent curve of screw rotor section molded line is simple, only including circular arc and arc envelope line both curves, just In processing and manufacturing；

3. the molded line type of three screw pump screw rotor is enriched.

Brief description of the drawings

Fig. 1 is the section molded line of complete smooth three screw pump screw rotor.

Fig. 2 schemes for the section molded line engagement of complete smooth three screw pump screw rotor.

Fig. 3 is engagement figure of the section molded line of complete smooth three screw pump screw rotor at out of phase.

Fig. 4 is the engagement figure of complete smooth three screw pump screw rotor.

In figure：R₁- driving screw rod radius of addendum；R_j- pitch radius, driving screw rod root radius, driven screw tooth Tip circle radius；r₂- driven screw root radius；θ_aThe addendum circle arc central angle of-driving screw rod section molded line；α, β-rotation Angle；1-driving screw rod rotor；2-left driven screw rotor；3-right driven screw rotor；201-driving screw rod rotor Section molded line；The section molded line of 202-left driven screw rotor；The section molded line of 203-right driven screw rotor.

Embodiment

The invention will be further described with embodiment below in conjunction with the accompanying drawings.

As shown in figure 1, a kind of section molded line of complete smooth three screw pump screw rotor, including driving screw rod rotor (1) Section molded line (201), the section molded line of the section molded line (202) of left driven screw rotor (2) and right driven screw rotor (3) (203), wherein the section molded line (202) of left driven screw rotor (2) and the section molded line (203) of right driven screw rotor (3) It is identical.The section molded line (201) of driving screw rod rotor (1) includes：8 sections of circular arcs, 4 sections of arc envelope lines, and each adjacent song Line is smoothly transitted, and its a quarter for constituting molded line is followed successively by the direction of the clock：First tooth root circular arc AB, the first arc envelope Line BC, the first connection circular arc C D, the first addendum circle arc DE, other parts curve is symmetrically obtained by above-mentioned curve on x-axis, y-axis； The section molded line (203) of right driven screw rotor (3) includes：8 sections of circular arcs, 4 sections of arc envelope lines, and the smooth mistake of each adjacent curve Cross, its a quarter for constituting molded line is followed successively by counterclockwise：3rd addendum circle arc ab, the 3rd connects circular arc bc, the 3rd Arc envelope line cd, the 3rd tooth root circular arc de, other parts curve is symmetrically obtained by above-mentioned curve on x-axis, y-axis.

The equation of each constituent curve of driving screw rod rotor (1) section molded line (201) is as follows：

1. tooth root circular arc AB equation is：

2. arc envelope line BC equation is：

Angle [alpha] is determined, curve C is sought₁With curve C₂Intersection point M₁(x₀,y₀)、M2(x₀,-y₀),

3. connection circular arc C D equation is：

4. addendum circle arc DE equation is：

The equation of other curves is symmetrically obtained by above-mentioned curvilinear equation on x-axis, y-axis；

The equation of each constituent curve of right driven screw rotor (3) section molded line (203) is as follows：

1. addendum circle arc ab equation is：

2. connection circular arc bc equation is：

3. arc envelope line cd equation is：

Wherein

4. tooth root circular arc de equation is：

The equation of other curves is symmetrically obtained by above-mentioned curvilinear equation on x-axis, y-axis.

More than：T-angle parameter, rad；R_j- pitch radius, mm；R-connection arc radius, mm；θ_a- driving screw rod is cut The addendum circle arc central angle of face molded line, rad；R₁- driving screw rod radius of addendum, mm；r₂- driven screw root radius, mm；

As shown in Fig. 2 for active screw rotor (1) respectively with left driven screw rotor (2), right driven screw rotor (3) The section molded lines of engagement；In the course of the work, the section molded line (201) of driving screw rod rotor (1) and right driven screw rotor (3) meshing relation of the upper each section of curve of section molded line (203) is：On the section molded line (201) of driving screw rod rotor (1) One tooth root circular arc AB, the first arc envelope line BC, first connects circular arc C D, the first addendum circle arc DE turns with right driven screw respectively The 3rd addendum circle arc ab on the section molded line (203) of sub (3), the 3rd connection circular arc bc, three-arc envelope cd, the 3rd tooth Root circular arc de correspondences are engaged；Driving screw rod rotor (1) and the meshing relation and driving screw rod rotor of left driven screw rotor (2) (1) meshing relation with right driven screw rotor (3) is identical.

As shown in figure 3, turning for driving screw rod rotor (1), left driven screw rotor (2), right driven screw at out of phase The section molded line engagement figure of sub (3)；Thus driving screw rod rotor (1) at out of phase, left driven screw rotor (2), the right side are illustrated The section molded line of driven screw rotor (3) meets correct meshing relation, therefore driving screw rod rotor (1) point in the course of the work Correct meshing relation is not met with left driven screw rotor (2), right driven screw rotor (3).

As shown in figure 4, for active screw rotor (1) respectively with left driven screw rotor (2), right driven screw rotor (3) Engagement figure；Driving screw rod rotor (1) is obtained by its profile (201) along the expansion of right-hand helix axial screw, left driven spiral shell Bar rotor (2) is obtained by its profile (202) along the expansion of left-hand screw line axial screw, and right driven screw rotor (3) is by its end Face molded line (203) is obtained along the expansion of left-hand screw line axial screw, smooth mistake between each adjacent composition curved surface of resulting screw rotor Cross.

Although above-mentioned the embodiment of the present invention is described with reference to accompanying drawing, not to present invention protection model The limitation enclosed, one of ordinary skill in the art should be understood that on the basis of technical scheme those skilled in the art are not Need to pay various modifications or deform still within protection scope of the present invention that creative work can make.

Claims (4)

1. a kind of complete smooth three screw pump screw rotor, including：Driving screw rod rotor (1), left driven screw rotor (2), the right side Driven screw rotor (3)；It is characterized in that：The section molded line (202) and right driven screw rotor (3) of left driven screw rotor (2) Section molded line (203) it is identical；The section molded line (201) of driving screw rod rotor (1), section of right driven screw rotor (3) Face molded line (203) is centrosymmetric respectively about the respective centre of gyration O, o, i.e., driving screw rod rotor (1) is with its centre of gyration Rotated centered on point O after 180 °, the section molded line (201) of the driving screw rod rotor (1) with not rotating is completely superposed, and point O is main The symmetrical centre of the section molded line (201) of dynamic screw rotor (1)；The section molded line (203) of right driven screw rotor (3) is with its time Turn to rotate after 180 ° centered on central point o, the section molded line (203) of the right driven screw rotor (3) with not rotating is completely superposed, Point o is the symmetrical centre of the section molded line (203) of right driven screw rotor (3)；The section molded line of driving screw rod rotor (1) (201) on symmetrical using the centre of gyration O coordinate system xOy set up by origin x-axis, y-axis；Right driven screw rotor (3) Section molded line (203) is on symmetrical using the centre of gyration o coordinate system xoy set up by origin x-axis, y-axis；Driving screw rod rotor (1) section molded line (201), the section molded line (202) of left driven screw rotor (2), the section type of right driven screw rotor (3) Line (203) is all complete smooth；The section molded line (201) of driving screw rod rotor (1) includes：8 sections of circular arcs, 4 sections of arc envelope lines, Its a quarter for constituting molded line is followed successively by the direction of the clock：First tooth root circular arc AB, the first arc envelope line BC, first connects Meet circular arc C D, the first addendum circle arc DE；The section molded line (203) of right driven screw rotor (3) includes：8 sections of circular arcs, 4 sections of circular arcs Envelope, its a quarter for constituting molded line is followed successively by counterclockwise：3rd addendum circle arc ab, the 3rd connection circular arc bc, Three-arc envelope cd, the 3rd tooth root circular arc de.

2. a kind of complete smooth three screw pump screw rotor according to claim 1, it is characterized in that：In the course of the work, The section molded line (201) of driving screw rod rotor (1) and section molded line (202), the right driven screw of left driven screw rotor (2) turn The section molded line (203) of sub (3) can realize correct engagement, and meshing relation is：The section molded line of driving screw rod rotor (1) (201) tooth root circular arc AB, arc envelope line BC on, connect circular arc C D, addendum circle arc DE respectively with right driven screw rotor (3) Section molded line (203) on addendum circle arc ab, connect circular arc bc, arc envelope line cd, tooth root circular arc de correspondence engage.

3. a kind of complete smooth three screw pump screw rotor according to claim 1, it is characterized in that：Driving screw rod rotor (1) equation of each constituent curve of section molded line (201) is as follows：

1. tooth root circular arc AB equation is：

$R_t^{AB}=\left[\begin{array}{c}{x}_t^{AB}\\ y_t^{AB}\end{array}\right]=\left[\begin{array}{c}{R}_j\cos t\\ R_j\sin t\end{array}\right]$

2. arc envelope line BC equation is：

$M_{\mathrm{\α}}=\left(\begin{array}{cc}cos\mathrm{\α}& -sin\mathrm{\α}\\ sin\mathrm{\α}& \cos \mathrm{\α}\end{array}\right)$

$R_t^{{\mathrm{BC}}^{\′}}=\left[\begin{array}{c}{x}_t^{{\mathrm{BC}}^{\′}}\\ y_t^{{\mathrm{BC}}^{\′}}\end{array}\right]=\left[\begin{array}{c}2R_{j}cos\left(t\right)-(R_j-r)cos\left(2t\right)-r\frac{R_{j}cos\left(t\right)+(R_j-r)cos\left(2t\right)}{\sqrt{{R_j}^2+{(R_j-r)}^2+2R_j(R_j-r)cos\left(t\right)}}\\ 2R_{j}sin\left(t\right)-(R_j-r)\sin \left(2t\right)+r\frac{R_j\sin \left(t\right)+(R_j-r)\sin \left(2t\right)}{\sqrt{{R_j}^2+{(R_j-r)}^2+2R_j(R_j-r)cos\left(t\right)}}\end{array}\right]$

$R_t^{BC}=M_{\mathrm{\α}}{R}_t^{{\mathrm{BC}}^{\′}}$

Angle [alpha] is determined, curve C is sought₁With curve C₂Intersection point M₁(x₀,y₀)、M₂(x₀,-y₀),

$R_t^{C_1}=\left[\begin{array}{c}{x}_t^{C_1}\\ y_t^{C_1}\end{array}\right]=\left[\begin{array}{c}(R_1-r)\cos t\\ (R_1-r)\sin t\end{array}\right]$

$R_t^{C_2}=\left[\begin{array}{c}{x}_t^{C_2}\\ y_t^{C_2}\end{array}\right]=\left[\begin{array}{c}2R_{j}cos\left(t\right)-(R_j-r)cos\left(2t\right)-2r\frac{R_{j}cos\left(t\right)+(R_j-r)cos\left(2t\right)}{\sqrt{{R_j}^2+{(R_j-r)}^2+2R_j(R_j-r)cos\left(t\right)}}\\ 2R_{j}sin\left(t\right)-(R_j-r)\sin \left(2t\right)+2r\frac{R_j\sin \left(t\right)+(R_j-r)\sin \left(2t\right)}{\sqrt{{R_j}^2+{(R_j-r)}^2+2R_j(R_j-r)cos\left(t\right)}}\end{array}\right]$

$\mathrm{\α}=\frac{{\mathrm{\θ}}_a}{2}+\left|\arctan \frac{y_0}{x_0}\right|$

3. connection circular arc C D equation is：

$\left[\begin{array}{c}{x}_N\\ y_N\end{array}\right]=\left[\begin{array}{c}(R_j-r)cos\left(\frac{{\mathrm{\θ}}_a}{2}\right)\\ (R_j-r)sin\left(\frac{{\mathrm{\θ}}_a}{2}\right)\end{array}\right]$

$R_t^{CD}=\left[\begin{array}{c}{x}_t^{CD}\\ y_t^{CD}\end{array}\right]=\left[\begin{array}{c}{x}_N+r\cos t\\ y_N+r\sin t\end{array}\right]$

4. addendum circle arc DE equation is：

$R_t^{DE}=\left[\begin{array}{c}{x}_t^{DE}\\ y_t^{DE}\end{array}\right]=\left[\begin{array}{c}{R}_1\cos t\\ R_1\sin t\end{array}\right],0<t<\frac{{\mathrm{\&theta;}}_a}{2}$

Driving screw rod rotor (1) section molded line (201) is symmetrical on x-axis, y-axis, and the side of remaining curve is obtained according to symmetry Journey；

The equation of each constituent curve of right driven screw rotor (3) section molded line (203) is as follows：

1. addendum circle arc ab equation is：

$R_t^{ab}=\left[\begin{array}{c}{x}_t^{ab}\\ y_t^{ab}\end{array}\right]=\left[\begin{array}{c}{R}_j\cos t\\ R_j\sin t\end{array}\right]$

2. connection circular arc bc equation is：

$\left[\begin{array}{c}{x}_n\\ y_n\end{array}\right]=\left[\begin{array}{c}(r-R_j)cos\mathrm{\&alpha;}\\ (R_j-r)sin\mathrm{\&alpha;}\end{array}\right]$

$R_t^{bc}=\left[\begin{array}{c}{x}_t^{bc}\\ y_t^{bc}\end{array}\right]=\left[\begin{array}{c}{x}_n+r\cos t\\ y_n+r\sin t\end{array}\right]$

3. arc envelope line cd equation is：

$M_{\mathrm{\&beta;}}=\left(\begin{array}{cc}cos\mathrm{\&beta;}& sin\mathrm{\&beta;}\\ -sin\mathrm{\&beta;}& cos\mathrm{\&beta;}\end{array}\right)$

$R_t^{{\mathrm{cd}}_0}=\left[\begin{array}{c}{x}_t^{{\mathrm{cd}}_0}\\ y_t^{{\mathrm{cd}}_0}\end{array}\right]=\left[\begin{array}{c}2R_{j}cos\left(t\right)+(R_1-r)cos\left(2t\right)+r\frac{R_{j}cos\left(t\right)+(R_j-r)cos\left(2t\right)}{\sqrt{{R_j}^2+{(R_j-r)}^2+2R_j(R_j-r)cos\left(t\right)}}\\ 2R_{j}sin\left(t\right)+(R_1-r)\sin \left(2t\right)+r\frac{R_j\sin \left(t\right)+(R_j-r)\sin \left(2t\right)}{\sqrt{{R_j}^2+{(R_j-r)}^2+2R_j(R_j-r)cos\left(t\right)}}\end{array}\right]$

$R_t^{cd}=M_{\mathrm{\&beta;}}{R}_t^{{\mathrm{cd}}_0}$

Wherein

4. tooth root circular arc de equation is：

$R_t^{de}=\left[\begin{array}{c}{x}_t^{de}\\ y_t^{de}\end{array}\right]=\left[\begin{array}{c}{r}_2\cos t\\ r_2\sin t\end{array}\right],\mathrm{\&pi;}-\frac{{\mathrm{\&theta;}}_a}{2}<t<\mathrm{\&pi;}$

The section molded line (203) of right driven screw rotor (3) is symmetrical on x-axis, y-axis, and remaining curve is obtained according to symmetry Equation；

More than：T-angle parameter, rad；R_j- pitch radius, mm；R-connection arc radius, mm；θ_a- driving screw rod section type The addendum circle arc central angle of line, rad；R₁- driving screw rod radius of addendum, mm；r₂- driven screw root radius, mm.

4. a kind of three screw pump, it is characterized in that：Turned using a kind of complete smooth three screw pump screw rod as claimed in claim 1 Son.