CN110633549B - Method for forming curved surface of stator of planar cylindrical pump - Google Patents
Method for forming curved surface of stator of planar cylindrical pump Download PDFInfo
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Abstract
The invention discloses a stator curved surface forming method of a planar cylindrical pump, which is characterized in that a stator curved surface equation formed by the distribution of four sections of space continuous curves is used for compiling the space continuous curve equation in MATLAB software to generate corresponding data points, pro/E three-dimensional software is introduced to generate a stator curved surface through stretching and scanning characteristics, and the obtained stator curved surface is completely the same as the stator curved surface generated by the MATLAB curved surface equation directly. The space stator curved surface designed by the invention can not generate hard impact or rigid impact due to sudden speed change, can not generate soft impact or flexible impact due to sudden acceleration change, is smooth and has no sudden change at the position of the stator curved surface, and the rectangular column piece is stable and has no motion interference during operation, thereby meeting the requirements of no vibration impact and low noise of the stator curved surface and prolonging the service life of the planar column piece pump.
Description
Technical Field
The invention relates to a method for forming a stator curved surface of a planar cylindrical pump, wherein the stator curved surface is applied to a novel non-flow-distribution planar cylindrical pump.
Background
The hydraulic pump is a power element in a hydraulic system and is an energy conversion device which is used for converting mechanical energy of a driving motor into pressure energy transmitted to the system and providing power for the whole system. The traditional hydraulic pump comprises a gear pump, a plunger pump, a screw pump and a vane pump, the external gear pump has the advantages of simple structure, small size, light weight, convenient manufacture, strong self-priming capability and insensitivity to oil pollution, but some components of the external gear pump bear unbalanced radial force, are seriously abraded and have large leakage, the improvement of working pressure is limited, and the pressure pulsation and noise are large due to large flow pulsation; the internal gear pump has complex tooth shape, high requirement on processing precision and high manufacturing cost; the screw pump has the advantages of simple structure, uniform oil transportation, low noise, high volumetric efficiency and insensitivity to pollution of oil, and has the main defects of complex screw shape, difficult processing and difficult guarantee of precision; the vane pump has uniform flow, stable operation and low noise, but has poor oil absorption property, is sensitive to oil pollution, has a complex structure and has high manufacturing process requirement; the plunger pump has high volumetric efficiency and small leakage, can work under high pressure, but has complex structure, high requirements on materials and processing precision, high price and high requirement on the cleanliness of oil.
Different from the structural design of the traditional hydraulic pump, the planar cylindrical sheet pump adopts a flow distribution-free structure, realizes the periodic change of the sealed volume of the pump through the axial movement of a rectangular cylindrical sheet, and has the characteristics of high power-weight ratio, compact structure, uniform flow, small pressure fluctuation, low vibration noise, easiness in realizing miniaturization and the like. Compared with a complex curved surface structure of a screw pump, the planar cylindrical vane pump has the advantages of simple curved surface design and high accuracy of curved surface equation establishment. Different from the line seal structure of traditional gear pump and impeller pump, this plane column piece pump adopts the liquid level seal structure of a rectangle column piece group formula, can effectual reduction let out leakage quantity, and work efficiency is high. The core component of the plane column pump is a pair of upper and lower stators, the three-dimensional modeling software has the defects in curved surface design, the three-dimensional modeling software cannot directly draw a three-dimensional curved surface according to a curved surface equation, the scientific calculation software MATLAB is used for combining the upper and lower stators, the curve equation is discretized, the discretization processing of the curve equation is realized, and the data obtained by processing is generated into the three-dimensional software to be recognized, the ibl file is imported into the three-dimensional modeling software, so that the curve and curved surface design capability of the three-dimensional software is improved, and the accurate forming of the curved surfaces of the upper and lower stators is further realized.
Disclosure of Invention
According to the problems and limitations of the existing hydraulic pump, the requirements of different occasions on the planar cylindrical pump are met, the principle of cavity reciprocating change is realized by utilizing the axial movement in the rotation process of the rectangular cylindrical pump, and the stator curved surface forming method and the realization technology of the planar cylindrical pump are provided. The planar cylindrical pump forms a closed cavity through the upper stator, the lower stator, the driving disc and the inner wall of the pump body, and along with the circular motion of the rectangular cylindrical piece and the axial rotation between the curved surfaces of the upper stator and the lower stator, a working medium is conveyed to the high-pressure cavity through the low-pressure cavity, so that the function of the hydraulic pump is realized, and the structural diagram of the planar cylindrical pump is shown in figure 1. The planar cylindrical vane pump has the characteristics of simple structure, stable operation, low noise, long service life, high output pressure, stable output flow, small pressure pulsation and the like.
In order to achieve the purpose, the technical scheme adopted by the invention is a method for forming a curved surface of a stator of a planar cylindrical pump, which comprises the following steps: step 1, forming a base circle equation of the curved surface of the stator by using a four-section space continuous curve equation, wherein the base circle equation comprises a spiral ascending line, a spiral descending line and an arc line connecting the two sections of spiral lines. And 2, performing function compiling on the base circle equation in MATLAB software, running to generate a ibl data point file, and storing the data point file. And 3, modifying the stored ibl data point file, so that the ibl data point file can be accurately identified by the three-dimensional modeling software. And 4, importing the modified ibl data point file into three-dimensional modeling software to generate a base circle curve of the stator curved surface. And 5, sketching the section shape of the cylindrical sheet of the planar cylindrical sheet pump on the basis of the base circle curve, and generating a stator curved surface through scanning characteristics. The molded curved surface of the stator of the planar cylindrical pump consists of four parts, namely a positive spiral ascending surface (EFGH), a positive spiral descending surface (ABCD) and a fan-shaped arc surface (ABGH) and a fan-shaped arc surface (CDEF) which are connected with the two sections of positive spiral surfaces, wherein the point A is a contact point of a base circle curve arc line (HA) and a spiral descending line (AD), the point D is a contact point of the base circle curve spiral descending line (AD) and the arc line (DE), the point E is a contact point of the base circle curve arc line (DE) and the spiral ascending line (EH), the point H is a contact point of the base circle curve spiral ascending line (EH) and the arc line (HA), intersection points of the circle centers of the arc line (HA) and extension lines of the connection lines of the point A and the point H and the outer circle line are a point B and a point G respectively, and intersection points of the circle centers of the arc line (DE) and the connection line of the circle centers of the D and the E are a point and the outer circle line are a point C and a point F respectively. The obtained stator curved surface equation is concise and beneficial to modeling and processing of the stator curved surface, and a specific implementation flow chart is shown in figure 2. The core part of the plane cylindrical vane pump is a pair of upper and lower stators, the curved surface of the stator comprises an oil sealing surface formed by a sector arc surface (ABGH) and a sector arc surface (CDEF), and a positive spiral rising surface (EFGH) and a positive spiral falling surface (ABCD) respectively form an oil pressing surface and an oil suction surface, and the structure of the stator is shown in figures 3, 4, 5 and 6.
The derivation schematic diagram of the planar cylindrical pump stator curved surface equation is shown in fig. 7, a rectangular cylindrical sheet makes cosine motion in the X-axis direction of a sector arc surface 1 (ABGH), and the period is 2 pi; making sinusoidal motion in the Y-axis direction with a period of 2 pi; and performing uniform circular motion in the Z-axis direction. The inner circle radius of the fan-shaped arc surface 1 (ABGH) is R 1 The radius of the outer circle is R 2 ，R 2 ＞R 1 The lead of the positive helical surface is T, and the variation range of the circumferential angle is [ theta ] 1 ，θ 2 ]Wherein theta 2 -θ 1 If the angle value of the sector arc surface 1 (ABGH), i.e. the angle value of the oil seal surface, is = alpha, alpha is the angle value of the sector arc surface 1 (ABGH), the parametric equation of the sector arc surface 1 (ABGH) is
Wherein: r is the radius of the curved surface, X is the numerical value of the curved surface in the X-axis direction of the rectangular coordinate system, Y is the numerical value of the curved surface in the Y-axis direction of the rectangular coordinate system, and Z is the numerical value of the curved surface in the Z-axis direction of the rectangular coordinate system.
The rectangular column sheet makes cosine motion in the X-axis direction of a positive spiral rising face 2 (EFGH), and the period is 2 pi; making sinusoidal motion in the Y-axis direction with a period of 2 pi; make a sinusoidal motion in the Z-axis direction with a period of
The inner circle radius of the positive spiral rising surface 2 (EFGH) is R 1 The radius of the outer circle is R 2 ，R 2 ＞R 1 The lead of the positive helical surface is T, and the circumferential angle variation range [ theta ] 2 ，R 3 ]And alpha is the angle value of the sector arc surface 1 (ABGH), the parameter equation of the positive spiral rising surface 2 (EFGH) is
The rectangular column sheet makes cosine motion in the X-axis direction of the fan-shaped arc surface 3 (CDEF), and the period is 2 pi; making sinusoidal motion in the Y-axis direction with a period of 2 pi; making uniform speed circumference in Z-axis directionAnd (6) moving. The inner circle radius of the fan-shaped arc surface 3 (CDEF) is R 1 The outer circle radius is R 2 ，R 2 ＞R 1 The lead of the positive helical surface is T, and the variation range of the circumferential angle is [ theta ] 3 ，θ 4 ]And alpha is the angle value of the sector arc surface 1 (ABGH), the parameter equation of the sector arc surface 3 (CDEF) is
The rectangular column sheet makes cosine motion in the X-axis direction of a positive spiral descending surface 4 (ABCD), and the period is 2 pi; making sinusoidal motion in the Y-axis direction with a period of 2 pi; make a sinusoidal motion in the Z-axis direction with a period of
The inner circle radius of the positive spiral descending surface 4 (ABCD) is R 1 The outer circle radius is R 2 ，R 2 ＞R 1 The lead of the positive helical surface is T, and the circumferential angle variation range [ theta ] 4 ，θ 1 +2π]And alpha is the angle value of the sector arc surface 1 (ABGH), the parameter equation of the positive spiral descending surface 4 (ABCD) is
And (3) combining the equations (1), (2), (3) and (4) to obtain the curved surface equation of the stator of the planar cylindrical vane pump. The general surface equation of the stator of the planar cylindrical vane pump is obtained by the surface parameter equation of each section of the stator
Compared with the prior art, the invention has the following beneficial effects:
the upper stator curved surface and the lower stator curved surface of the planar cylindrical pump have simple structure and smooth curved surface, and the rectangular cylindrical sheet reduces frictional resistance in the process of circular motion and axial motion, does not generate 'hard impact' or 'rigid impact', and does not generate 'soft impact' or 'flexible impact' due to acceleration sudden change. The suction cavity and the discharge cavity of the planar cylindrical sheet pump are oppositely arranged, the stress of the whole structure is balanced, and the defects of eccentric wear, leakage and the like caused by unbalanced stress of the traditional positive displacement hydraulic pump are eliminated; meanwhile, the operation stability of the planar cylindrical vane pump is improved, and the pump has the advantages of low noise, long service life, high output pressure, stable output flow, small pressure pulsation and the like.
Drawings
FIG. 1 is a schematic view of a flat vane pump.
FIG. 2 is a flow chart of the present invention.
Fig. 3 is a front view of the stator.
Fig. 4 is a left side view of the stator.
Fig. 5 is a top view of the stator.
Fig. 6 is an isometric view of the stator.
FIG. 7 is a schematic diagram of the derivation of the stator surface equation.
FIG. 8 is a stator solid model diagram.
In the figure: 1-pump body 2-lower stator 3-driving disk 4-rectangular column sheet 5-upper stator 6-pump cover 7-transmission shaft.
Detailed Description
The invention is suitable for the forming method of the stator curved surface of the plane column pump and the realization technology, the lower stator in the plane column pump is fixedly connected with the bottom of the pump body through a pin, the upper stator is fixedly connected with the pump cover through a pin, the driving disks are clamped in the clamping groove of the transmission shaft and are fixed by the fixing pin, the rectangular column is clamped in the two driving disks, and thenIs arranged between the upper stator and the lower stator of the pump body and forms surface sealing with the arc surfaces of the upper stator and the lower stator respectively, the rectangular column sheet makes axial motion and circular motion between the upper stator and the lower stator to complete the oil absorption and oil discharge process. Using the radius R of the stator curve 1 ＝7.5mm，R 2 The method for forming the curved surface of the stator of the planar cylindrical vane pump and the implementation technology are described by taking a stator curved surface with a lead of a positive spiral surface of =25mm, a lead of a positive spiral surface of T =18mm, an angle of a sector arc surface of α =8 °, an angle of a positive spiral ascending surface of 172 °, and an angle of a positive spiral descending surface of 172 °.
1 plane column pump stator curve function equation derivation
The Pro/E three-dimensional software has certain limitation in the curved surface design process, can not directly generate a curved surface according to a curved surface equation, and can not directly import data points generated in MATLAB to generate the curved surface.
The stator curve equation consists of four parts, namely an arc line 1 (HA), a spiral ascending line 2 (EH), an arc line 3 (DE) and a spiral descending line 4 (AD), wherein the rectangular column sheet is in cosine motion with the period of 2 pi in the X-axis direction and in sine motion with the period of 2 pi in the Y-axis direction, and the spiral ascending line 2 (EH) and the spiral descending line 4 (AD) are in the period of 2 pi in the Z-axis direction
The arc lines 1 (HA) and 3 (DE) are circular motion and do not move axially, and the period in the Z-axis direction is
Thus, the total period of the Z axis is 2 pi, which is consistent with the periods of the X axis and the Y axis to form a closed curve.
The curve equation of the circular arc line 1 (HA) is
The curve equation of the spiral rising line 2 (EH) is
The curve equation of the circular arc line 3 (DE) is
The equation of the curve of the spiral descent line 4 (AD) is
2 writing a flat column pump stator curve M function file in MATLAB
Writing an M function file according to a stator curve function equation of a planar cylindrical pump, wherein a parameter symbol theta does not exist in an MATLAB (matrix laboratory), so that the parameter symbol theta is changed into t, simultaneously converting the angle range value of each part of curve equation into a radian value, and then writing the M function file of four sections of stator curves under the MATLAB as follows
t 1 ＝39/180:1/360:43/180；
x 1 ＝7.5*cos(t 1 *2*pi)；
y 1 ＝7.5*sin(t 1 *2*pi)；
z 1 ＝0*t 1 +9；
figure(1)；hold on
plot3(7.5*cos(t 1 *2*pi)，7.5*sin(t 1 *2*pi)，0*t 1 +9)；
t 2 ＝43/180:1/360:129/180；
x 2 ＝7.5*cos(t 2 *2*pi)；
y 2 ＝7.5*sin(t 2 *2*pi)；
z 2 ＝9*sin(45/43*t 2 *2*pi)；
plot3(7.5*cos(t 2 *2*pi)，7.5*sin(t 2 *2*pi)，9*sin(45/43*t 2 *2*pi))；
t 3 ＝129/180:1/360:133/180；
x 3 ＝7.5*cos(t 3 *2*pi)；
y 3 ＝7.5*sin(t 3 *2*pi)；
z 3 ＝0*t 3 -9；
plot3(7.5*cos(t 3 *2*pi)，7.5*sin(t 3 *2*pi)，0*t 3 -9)；
t 4 ＝133/180:1/360:219/180；
x 4 ＝7.5*cos(t 4 *2*pi)；
y 4 ＝7.5*sin(t 4 *2*pi)；
z 4 ＝9*sin(45/43*(t 4 -1/45)*2*pi)；
3 writing plane column sheet pump stator curve M script file
Writing an M script file for generating a stator curve of the planar cylindrical pump ibl file, and storing stator curve data points.
x＝[x 1 ，x 2 ，x 3 ，x 4 ]；
y＝[y 1 ，y 2 ，y 3 ，y 4 ]；
z＝[z 1 ，z 2 ，z 3 ，z 4 ]；
s＝[x(:)y(:)z(:)]；
save('flcxqA.ibl'，'s'，'-ascii')
type('flcxqA.ibl')
After writing the M function file and the M script file of the stator curve, the program is operated to obtain the stator curve ibl data point file, and the data point file is stored.
4 modified ibl File
Ibl data point file, saved before opening with a tablet or notepad, adds the following four rows at the head of the first row of data points:
closed
arclength
begin section
begin curve！1
the ibl data point file, which is the data point that the Pro/E can recognize and render three-dimensional, again, after modification.
Establishment of stator curved surface model of 5-plane cylindrical pump
The modified ibl data points are imported by the "curve from file" in the three-dimensional software Pro/E, then the cross section of the rectangular column is drawn by scanning the features, and the planar column pump stator solid model as shown in FIG. 8 is generated by stretching and cutting the features.
Claims (2)
1. A method for forming a curved surface of a stator of a planar cylindrical pump is characterized by comprising the following steps: the method comprises the following steps of,
step 1, forming a base circle equation of a stator curved surface by using a four-section space continuous curve equation, wherein the base circle equation comprises a spiral ascending line, a spiral descending line and an arc line connecting the two sections of spiral lines;
step 2, performing function compiling on the base circle equation in MATLAB software, running and generating a ibl data point file, and storing the data point file;
step 3, modifying the stored ibl data point file, and enabling the three-dimensional modeling software to accurately identify the ibl data point file;
step 4, importing the modified ibl data point file into three-dimensional modeling software to generate a base circle curve of the stator curved surface;
step 5, drawing the section shape of the cylinder of the planar cylinder pump on the basis of the base circle curve, and generating a stator curved surface through scanning characteristics; the rectangular column sheet makes cosine motion in the X-axis direction of the fan-shaped arc surface 1 (ABGH)The period is 2 pi; making sinusoidal motion in the Y-axis direction with a period of 2 pi; performing uniform circular motion in the Z-axis direction; the inner circle radius of the fan-shaped arc surface 1 (ABGH) is R 1 The outer circle radius is R 2 ，R 2 >R 1 The lead of the positive helical surface is T, and the variation range of the circumferential angle is [ theta ] 1 ，θ 2 ]Wherein theta 2 -θ 1 If the angle value of the sector arc surface 1 (ABGH), i.e. the angle value of the oil seal surface, is = alpha, alpha is the angle value of the sector arc surface 1 (ABGH), the parametric equation of the sector arc surface 1 (ABGH) is
Wherein: r is the radius of the curved surface, X is the numerical value of the curved surface in the X-axis direction of the rectangular coordinate system, Y is the numerical value of the curved surface in the Y-axis direction of the rectangular coordinate system, and Z is the numerical value of the curved surface in the Z-axis direction of the rectangular coordinate system;
the rectangular column sheet makes cosine motion in the X-axis direction of a positive spiral rising face 2 (EFGH), and the period is 2 pi; making sinusoidal motion in the Y-axis direction with a period of 2 pi; make a sinusoidal motion in the Z-axis direction with a period of
The inner circle radius of the positive spiral rising surface 2 (EFGH) is R 1 The outer circle radius is R 2 ，R 2 ＞R 1 The lead of the positive helical surface is T, and the circumferential angle variation range [ theta ] 2 ，θ 3 ]And alpha is the angle value of the sector arc surface 1 (ABGH), the parameter equation of the positive spiral rising surface 2 (EFGH) is
The rectangular column sheet makes cosine motion in the X-axis direction of the fan-shaped arc surface 3 (CDEF), and the period is 2 pi; making sinusoidal motion in the Y-axis direction with a period of 2 pi; performing uniform circular motion in the Z-axis direction; the inner circle radius of the fan-shaped arc surface 3 (CDEF) is R 1 The outer circle radius is R 2 ，R 2 >R 1 The lead of the positive helicoid is T, and the variation range of the circumferential angle is [ theta ] 3 ，θ 4 ]And alpha is the angle value of the sector arc surface 1 (ABGH), the parameter equation of the sector arc surface 3 (CDEF) is
The rectangular column sheet makes cosine motion in the X-axis direction of a positive spiral descending surface 4 (ABCD), and the period is 2 pi; making sinusoidal motion in the Y-axis direction with a period of 2 pi; make a sinusoidal motion in the Z-axis direction with a period of
The inner circle radius of the positive spiral descending surface 4 (ABCD) is R 1 The outer circle radius is R 2 ，R 2 ＞R 1 The lead of the positive helical surface is T, and the circumferential angle variation range [ theta ] 4 ，θ 1 +2π]And alpha is the angle value of the sector arc surface 1 (ABGH), the parameter equation of the positive spiral descending surface 4 (ABCD) is
The equations (1), (2), (3) and (4) are combined to obtain a curved surface equation of the stator of the planar cylindrical vane pump; the general surface equation of the stator of the planar cylindrical vane pump is obtained by the surface parameter equation of each section of the stator
2. The method for forming the curved surface of the stator of the planar cylindrical vane pump as claimed in claim 1, wherein: the molded stator curved surface of the planar cylindrical pump consists of four parts, namely a positive spiral ascending surface EFGH, a positive spiral descending surface ABCD, and a fan-shaped arc surface ABGH and a fan-shaped arc surface CDEF which connect the two positive spiral surfaces, wherein the point A is a contact point of a base circular curve arc line HA and a spiral descending line AD, the point D is a contact point of the base circular curve spiral descending line AD and an arc line DE, the point E is a contact point of the base circular curve arc line DE and a spiral ascending line EH, the point H is a contact point of the base circular curve spiral ascending line EH and the arc line HA, the intersection points of the circle centers of the arc lines HA and the extension lines of the points A and H and the outer circle lines are respectively a point B and a point G, and the intersection points of the circle centers of the arc lines DE and the extension lines of the points D and E and the outer circle lines are respectively a point C and a point F; the obtained stator curved surface equation is simple, and the modeling and processing of the stator curved surface are facilitated; the core part of the plane pole piece pump is a pair of upper and lower stators, the curved surface of the stator is an oil sealing surface formed by a sector arc surface ABGH and a sector arc surface CDEF, and a positive spiral ascending surface EFGH and a positive spiral descending surface ABCD respectively form an oil pressing surface and an oil sucking surface.
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