CN-120145687-B - Flow characteristic analysis method and system for axial quantitative vane pump

CN120145687BCN 120145687 BCN120145687 BCN 120145687BCN-120145687-B

Abstract

The invention discloses a flow characteristic analysis method and system of an axial quantitative vane pump, wherein the method comprises the steps of constructing a stator curved surface equation and a vane curved surface equation of the axial quantitative vane pump, determining parameters and drawing to obtain a vane three-dimensional model and a stator curved surface model; the method comprises the steps of obtaining a vane-stator kinematic pair by an assembly model, calculating the volume of an axial quantitative vane pump, determining the working state and the motion stage of the axial quantitative vane pump, drawing a two-dimensional model of the vane-stator kinematic pair, calculating the displacement of different motion states and motion stages, constructing a displacement mathematical calculation model and an instantaneous flow and pulse rate calculation model, establishing a lumped parameter model of the axial quantitative vane pump, and analyzing the flow characteristics of the axial quantitative vane pump. According to the technical scheme, the deduction, simplification and calculation processes are simplified, the flow characteristic parameter of the axial quantitative vane pump can be obtained through rapid and accurate calculation, and a basis is provided for optimizing the structure and the performance parameter of the axial quantitative vane pump.

Inventors

WANG XINHUA
FU SHICHAO
SUN TAO
Zhao Zeling
ZHANG ZHEN
XU XIANGJIE

Assignees

北京工业大学

Dates

Publication Date: 20260508
Application Date: 20250313

Claims (10)

1. A flow characteristic analysis method of an axial metering vane pump, characterized by comprising: constructing a stator curved surface equation and a blade curved surface equation of the axial quantitative vane pump; determining parameters of the blade curved surface equation and the stator curved surface equation, and drawing in three-dimensional modeling software to obtain a blade three-dimensional model and a stator curved surface model; Assembling the three-dimensional model of the blade with the curved surface model of the stator to obtain a blade-stator kinematic pair; Calculating the volume of the axial quantitative vane pump according to the volume parameter of the vane-stator kinematic pair; Determining the working state of the axial quantitative vane pump and the movement stage of the vane, and drawing a two-dimensional model of the vane-stator kinematic pair; Calculating the displacement of the axial quantitative vane pump in different motion states and motion phases according to the stator curved surface equation, and constructing a displacement mathematical calculation model and an instantaneous flow and pulse rate calculation model of the axial quantitative vane pump by combining the two-dimensional model; And establishing a lumped parameter model of the axial quantitative vane pump by combining the displacement mathematical calculation model and the instantaneous flow and pulse rate calculation model, and analyzing flow characteristics of the axial quantitative vane pump.
2. The method of flow characteristic analysis of an axial metering vane pump of claim 1, wherein the vane pattern of the axial metering vane pump comprises an elliptical top profile, a triangular dome profile, a chamfer top profile, a tip top profile, a wedge-shaped circular arc top profile, a single circular arc top profile, and a circular arc top profile; the method for deducing the blade curved surface equation of the elliptic blade comprises the following steps: Establishing a three-dimensional rectangular coordinate system of the blade, and enabling the blade to be vertically and horizontally symmetrical relative to an x-axis; the standard equation of the ellipse in the rectangular coordinate system is determined as follows: The equation for determining the cross-section of an ellipse placed in the rectangular coordinate system for x=r 2 is: deriving the formulas of the upper ellipsoids, the middle sector areas and the lower ellipsoids of the sections of the blades with x=r 2 : The coordinates of any point on the blade are (x, y, z), the blade is a sector in the overlooking direction of the positive axis of z, the included angle occupied by the blade is 2 phi 1 , the radius of the inner circular surface of the stator is R 1 , the radius of the outer circle of the stator is R 2 , the included angle formed between any point on the blade and the x axis is theta, the major axis of the ellipse of the blade on the section of x=r 2 is 2a, the minor axis is 2b, the overall height of the blade is H, and the radius of the sector area is R.
3. The flow characteristic analysis method of an axial metering vane pump according to claim 2, wherein the stator curve of the axial metering vane pump includes a sinusoidal curve, equal acceleration-equal deceleration, a fifth curve and an eighth curve; the deduction method of the stator curved surface equation comprises the following steps: Establishing a stator helicoid and sector surface curved equation based on the rotation surface and the helicoid; establishing a three-dimensional rectangular coordinate system, wherein the origin O of the coordinate system is on the central axis of the stator, and the top view of the stator is composed of four curved surfaces of a lower fan-shaped surface, a right spiral surface, an upper fan-shaped surface and a left spiral surface; the curved surface equation of the lower fan-shaped surface of the stator is calculated as follows: the curved surface equation of the right spiral surface of the stator is calculated as follows: the curved surface equation of the upper sector of the stator is calculated as: wherein the upper sector is in the plane z=t; the curved surface equation of the left spiral surface of the stator is calculated as follows: The rotation angle α of the blade represents the rotation angle of the blade on the stator, the upper fan surface is on the plane z=t, the lower fan surface is on the plane z=0, the angles occupied by the upper fan surface and the lower fan surface are phi 2 , the radius of the inner circle of the stator is r 1 , and the radius of the outer circle of the stator is r 2 .
4. A flow characteristic analysis method of an axial quantitative vane pump according to claim 3, wherein the determining parameters of the vane surface equation and the stator surface equation and drawing in three-dimensional modeling software to obtain a vane three-dimensional model and a stator surface model comprises the following specific steps: calculating the major axis and the minor axis of the elliptical blade, and calculating the section sizes of the blade at different positions; Drawing a sketch of the blade in three-dimensional modeling software, and drawing sections of two distal ends of the blade; Connecting the two sections by using lofting operation to generate a solid, drawing the inner circular surface and the outer circular surface of the blade, and cutting the inner circular surface and the outer circular surface of the blade by using stretch cutting operation to obtain a three-dimensional blade model; determining parameters of the stator curved surface equation, converting the stator curved surface equation into a code language, determining key parameters, and then substituting the key parameters into a program to obtain point coordinates of a stator curved surface and form a stator curved surface point set; And importing the stator curved surface point set into the three-dimensional modeling software to generate a stator curve, and performing feature stretching and scanning cutting graphic processing on the stator curve to obtain a formed stator curved surface model.
5. The method for analyzing flow characteristics of an axial displacement vane pump according to claim 4, wherein assembling the three-dimensional model of the vane with the curved stator surface model to obtain a vane-stator kinematic pair comprises the following steps: the upper stator and the lower stator are fixed and restrained, the outer surface of the transmission shaft and the inner surface of the stator are bonded and restrained, and the transmission shaft is arranged to be rotatable; And mutually attaching two sides of the blade with the blade grooves of the transmission shaft, and setting blade movement constraint to obtain the blade-stator kinematic pair.
6. The method for analyzing flow characteristics of an axial metering vane pump according to claim 5, wherein calculating the volume of the axial metering vane pump based on the volume parameter of the vane-stator kinematic pair comprises: according to the volume parameter of the vane-stator kinematic pair and the symmetry of the stator structure, the volume of the axial quantitative vane pump is calculated as follows: 。
7. The flow characteristic analysis method of an axial metering vane pump according to claim 6, wherein determining an operation state of the axial metering vane pump and a movement stage of a vane, and plotting a two-dimensional model of the vane-stator kinematic pair, comprises: According to the vane rotation angle alpha of the axial quantitative vane pump, the vane rotation angle (180-90 degrees/n) is less than or equal to alpha (180- 2 /2) in the first movement stage, the vane is positioned on the upper spiral surface, n oil suction cavities are equal to the vane logarithm n, and n+1 oil discharge cavities are arranged; In the second movement stage, the rotation angle of the blade (180-phi 2 /2)≤α≤(180°+φ 2 /2), the blade is in a fan-shaped plane area, at the moment, n oil suction cavities exist, and n oil discharge cavities are equal to the number n of the blade pairs; In the third movement stage, the rotation angle (180 degrees+phi 2 /2) of the blade is less than or equal to alpha (180 degrees+90 degrees/n), the blade is positioned in the lower spiral area, n+1 oil suction cavities exist, and n oil discharge cavities are equal to the number n of the blade pairs; a vane rotation of the axial metering vane pump undergoes 2n cycles, each cycle comprising the first, second and third motion phases; And (3) unfolding the blade-stator kinematic pair along the stator outer circular surface r 2 , and drawing to obtain a two-dimensional model of the blade-stator kinematic pair.
8. The method for analyzing flow characteristics of an axial displacement vane pump according to claim 7, wherein calculating displacements of different motion states and motion phases of the axial displacement vane pump according to the stator surface equation, and constructing a mathematical calculation model of the displacement of the axial displacement vane pump and a calculation model of instantaneous flow and pulse rate, comprises the following steps: calculating according to the stator curved surface equation to obtain a rising spiral line PQ and a falling spiral line MN of the stator; In the first movement stage (180-90 degrees/n) is less than or equal to alpha (180- 2 /2), n oil suction cavities are equal to the logarithm of the blades, n+1 oil discharge cavities, and the displacement V Ⅰ of the axial quantitative vane pump in the first movement stage is obtained by subtracting all the volumes V 1 ～V n-1 of n-1 blades on the upper part of the driving disc and the volumes V n of the blades on the side, close to the oil suction cavity n, of the plane where the contact line of the nth blade and the stator is located; In the second movement stage (180 ° - 2 /2)≤α≤(180°+φ 2 /2), n oil absorbing cavities are equal to the blade logarithm, n oil discharging cavities are arranged, the blade is positioned in the upper sector area, and the volume between the driving disk and the stator is adopted to subtract the blade volume V 1 ～V n , so that the displacement V Ⅱ of the axial quantitative blade pump in the second movement stage is obtained; In the third movement stage (180 degrees+phi 2 /2) is less than or equal to alpha (180 degrees+90 degrees/n), n+1 oil absorbing cavities are arranged, n oil discharging cavities are equal to the number of pairs of blades, the blades are positioned in the lower spiral surface area, and the volume V 1 ～V n+1 of n+1 blades is subtracted from the volume between a driving disc and a stator to obtain the displacement V Ⅲ of the axial quantitative blade pump in the third movement stage; the construction of the mathematical calculation model of the displacement of the axial quantitative vane pump is as follows: Wherein n is the blade pair number, V max is the maximum sealed cavity volume value in one volume change period, and V min is the minimum sealed cavity volume value in one volume change period; According to the rotation angular speed and the rotation speed of the transmission shaft, calculating the instantaneous flow q in of the axial quantitative vane pump as follows: wherein alpha is the rotation angle of the blade; according to the regular change characteristics of the instantaneous flow of the axial quantitative vane pump in the oil suction and oil discharge processes, calculating flow pulsation as follows: Where max (q in ) is the maximum instantaneous flow, min (q in ) is the minimum instantaneous flow, and q t is the average theoretical flow.
9. The flow characteristic analysis method of an axial metering vane pump according to claim 8, wherein a lumped parameter model of the axial metering vane pump is built, and the flow characteristic analysis is performed on the axial metering vane pump, and the specific process comprises: integrating the displacement mathematical calculation model and the instantaneous flow and pulse rate calculation model to obtain a lumped parameter model of the axial quantitative vane pump; And according to the lumped parameter model, analyzing the influence characteristics of the fan-shaped surface angle, the blade occupation angle, the radius of the inner circular surface of the stator and the radius of the outer circular surface of the stator on the displacement and the pulsation rate of the axial quantitative blade pump.
10. A flow characteristic analysis system of an axial metering vane pump, characterized by being applied to the flow characteristic analysis method of an axial metering vane pump as claimed in any one of claims 1 to 9, comprising: the curved surface equation construction module is used for constructing a stator curved surface equation and a blade curved surface equation of the axial quantitative vane pump; The three-dimensional model construction module is used for determining parameters of the blade curved surface equation and the stator curved surface equation and drawing a three-dimensional model of the blade and a stator curved surface model in three-dimensional modeling software; The motion model assembly module is used for assembling the three-dimensional model of the blade and the curved surface model of the stator to obtain a blade-stator kinematic pair; the pump body volume calculating module is used for calculating the volume of the axial quantitative vane pump according to the volume parameters of the vane-stator kinematic pair; The motion state analysis module is used for determining the working state of the axial quantitative vane pump and the motion stage of the vane and drawing a two-dimensional model of the vane-stator kinematic pair; The calculation model construction module is used for calculating the displacement of the axial quantitative vane pump in different motion states and motion phases according to the stator curved surface equation, and constructing a displacement mathematical calculation model and an instantaneous flow and pulse rate calculation model of the axial quantitative vane pump by combining the two-dimensional model; And the flow characteristic analysis module is used for combining the displacement mathematical calculation model and the instantaneous flow and pulsation rate calculation model to establish a lumped parameter model of the axial quantitative vane pump and analyzing the flow characteristic of the axial quantitative vane pump.

Description

Flow characteristic analysis method and system for axial quantitative vane pump Technical Field The invention relates to the technical field of fluid analysis, in particular to a flow characteristic analysis method of an axial quantitative vane pump and a flow characteristic analysis system of the axial quantitative vane pump. Background With the progress and development of the age, mechanized production will become a necessary trend of development in the whole age. In view of the current state of application of the mechanical automation production technology in the current stage, the modern hydraulic technology is taken as a core technology and plays an irreplaceable role in the running process of the whole automation production system. The hydraulic transmission adopts fluid as working medium to drive and control energy. Compared with other transmission modes, the novel speed-regulating device has the advantages of large input force, compact structure, small volume, convenience in speed regulation, convenience in control and the like, and is widely applied to the fields of engineering machinery, agricultural machinery, automobiles, ships, aerospace and the like. The hydraulic pump is a power element in the hydraulic system, is an energy conversion device, and is used for converting mechanical energy of a driving motor into pressure energy which is input into the system, and is used as a core component of the hydraulic system and a power source of the whole system, and the performance of the hydraulic pump directly influences the performance, service life and reliability of the hydraulic system. The vane pump has the advantages of small size, light weight, uniform flow, low noise and the like, but is limited by the structural principle of the prior radial vane pump when developing to high speed and high pressure, the pressure of a vane root chamber and the pulsation peak value thereof are increased, the radial force born by the vane and the pulsation amplitude thereof are increased, the radial vibration of the vane is further increased, the contact characteristic between the vane and the inner surface of the stator is worsened, and the leakage quantity of a top gap is increased while the abrasion of the top profile of the vane and the inner surface of the stator is increased. In addition, with the rising of the rotating speed and the pressure, the hydraulic impact and cavitation phenomena of the sealing volume of the blade in the transition process of distributing and sealing oil are also aggravated, the internal leakage quantity is increased, and the suction cavitation phenomenon is aggravated. It can be seen that the high speed and high pressure will deteriorate the output performance of the existing radial vane pump, aggravate vibration, increase noise, decrease friction wear and lubrication performance, increase leakage amount, thereby resulting in decrease of volumetric efficiency and mechanical efficiency of the pump, increase of power loss, and decrease of efficiency. Disclosure of Invention In order to solve the problems, the invention provides a flow characteristic analysis method and a flow characteristic analysis system for an axial quantitative vane pump, wherein under the conditions of effectively reducing vane abrasion and eliminating vane axial movement vibration by constructing a vane-stator kinematic pair three-dimensional model with a vane curved surface closely attached to a stator curved surface, the flow characteristic analysis method and the flow characteristic analysis system for the axial quantitative vane pump are based on the working principle and internal suction and discharge conditions of the axial quantitative vane pump, simplify the deduction, simplify and calculation processes, can quickly and accurately calculate to obtain the flow characteristic parameters of the axial quantitative vane pump, and provide a basis for optimizing the structure and the performance parameters of the axial quantitative vane pump. In order to achieve the above object, the present invention provides a flow characteristic analysis method of an axial quantitative vane pump, comprising: constructing a stator curved surface equation and a blade curved surface equation of the axial quantitative vane pump; determining parameters of the blade curved surface equation and the stator curved surface equation, and drawing in three-dimensional modeling software to obtain a blade three-dimensional model and a stator curved surface model; Assembling the three-dimensional model of the blade with the curved surface model of the stator to obtain a blade-stator kinematic pair; Calculating the volume of the axial quantitative vane pump according to the volume parameter of the vane-stator kinematic pair; Determining the working state of the axial quantitative vane pump and the movement stage of the vane, and drawing a two-dimensional model of the vane-stator kinematic pair; Calculating the displacement of the axial qu