Method and device for designing stator curve of double-acting vane pump based on Fourier function

Abstract

The present application discloses a method and device for designing the stator curve of a double-acting vane pump based on Fourier function, the method comprising calculating the key point position of the stator curve according to the working condition requirement parameters of the target double-acting vane pump, and obtaining the shape restriction condition; determining the resonance-free restriction condition according to the natural frequency of the target double-acting vane pump; finally, taking minimizing acceleration and jump as the optimization target, taking the shape restriction condition and the resonance-free restriction condition as the restriction, a multi-objective optimization algorithm is used to determine the stator curve composed of n-order Fourier functions. That is, it can ensure that the displacement function of the stator curve is continuous with respect to any order of time derivative, and there is no acceleration mutation, jump mutation, or jump mutation; at the same time, it can also effectively reduce the maximum acceleration and maximum jump, reduce excitation, and avoid mechanical resonance of the vane pump at rated speed.

Description

Technical Field

[0001] The present application relates to the technical field of hydraulic transmission, and in particular to a method and device for designing a stator curve of a double-acting vane pump based on Fourier function. Background Art

[0002] The pin-type double-acting vane pump is widely used in engineering machinery due to its high energy density and low noise. Its working mode includes: when the rotor rotates, the blades are pressed against the inner surface of the stator under the action of their own centrifugal force and the high-pressure oil at the bottom of the blades. As the stator curve changes, they make reciprocating motion in the blade groove. When the blades move from the small diameter to the large diameter, the volume between the two blades gradually increases, forming a local vacuum and absorbing oil. When the blades move from the large diameter to the small diameter, the volume between the two blades gradually decreases and discharges oil. The rotor rotates one circle, and the blades reciprocate twice in the groove, forming two times of oil suction and discharge. Therefore, it is very necessary to reduce the vibration noise of the vane pump through reasonable stator curve design to avoid soft and hard impact of the blades on the inner surface of the stator during frequent oil suction and discharge.

[0003] At present, the design method for the stator curve of the vane pump mainly uses a high-order curve to design the local transition curve to ensure that the stator curve has continuous speed, acceleration and jump. However, the stator curve generated based on the above method cannot ensure the continuity of the higher-order derivatives of the blade displacement curve. There are acceleration mutations, jump mutations and jump mutations between the connection points of multiple curves, which cause excitation. In addition, the trial and error method is currently used to improve the stator curve to avoid mechanical resonance inside the vane pump under specific high-speed conditions, which aggravates vibration and noise. However, the trial and error method consumes a lot of manpower, material resources and time costs. Summary of the invention

[0004] The purpose of this application is to provide a method and device for designing a stator curve of a double-acting vane pump based on Fourier function, which can improve the above-mentioned problems.

[0005] The embodiment of the present application is implemented as follows:

[0006] In a first aspect, the present application provides a method for designing a stator curve of a double-acting vane pump based on a Fourier function, which comprises the following steps:

[0007] S1: Calculating the key point positions of the stator curve of the target double-acting vane pump according to the working condition requirement parameters of the target double-acting vane pump, and determining the shape restriction conditions according to the key point positions;

[0008] S2: determining a resonance-free restriction condition on a vane pump speed of the target double-acting vane pump according to the natural frequency of the target double-acting vane pump;

[0009] S3: Taking minimizing acceleration and jump as optimization objectives, and taking the shape constraint condition and resonance-free constraint condition as constraints, a multi-objective optimization algorithm is used to determine the stator curve of the target double-acting vane pump composed of an n-order Fourier function.

[0010] Among them, S1, S2, etc. are only step identifiers, and the execution order of the method is not necessarily in the order of numbers from small to large. For example, step S2 may be executed first and then step S1. This application does not impose any limitation on this.

[0011] It can be understood that the present application discloses a method and device for designing the stator curve of a double-acting vane pump based on Fourier function, the method comprising calculating the key point positions of the stator curve according to the working condition requirement parameters of the target double-acting vane pump, and deriving the shape restriction conditions; determining the resonance-free restriction conditions according to the natural frequency of the target double-acting vane pump; finally, taking minimizing acceleration and jump as the optimization target, taking the shape restriction conditions and the resonance-free restriction conditions as the restrictions, and adopting a multi-objective optimization algorithm to determine the stator curve composed of n-order Fourier functions. That is, it can ensure that the displacement function of the stator curve is continuous with respect to any order of time derivative, and there is no acceleration mutation, jump mutation, or jump mutation; at the same time, it can also effectively reduce the maximum acceleration and maximum jump, reduce excitation, and avoid mechanical resonance of the vane pump at rated speed.

[0012] In an optional embodiment of the present application, the target double-acting vane pump is designed to be centrally symmetrical about the center of the rotor, and the central axis passing through the center of the rotor divides the target double-acting vane pump into two equal-sized parts, and a single equal-sized part includes a first small arc area, an expansion area, a large arc area, a pre-compression area, a compression area, and a second small arc area in sequence. The first small arc area and the second small arc area are symmetrically arranged, and the angle ranges are consistent.

[0013] In an optional embodiment of the present application, the S1 includes the following steps:

[0014] S11: calculating the stator radii of the first small arc area and the second small arc area according to the rotor size parameters of the target double-acting vane pump as the small arc radii;

[0015] S12: Calculating the stator radius of the large arc area according to the rotor and blade parameters and the working condition requirement parameters of the target double-acting vane pump as the large arc radius;

[0016] S13: determining the angle ranges of the first small arc area, the second small arc area, the large arc area, and the pre-compression area according to the number of blades of the target double-acting vane pump;

[0017] S14: Calculating the minimum stator radius in the pre-compression area according to the pre-compression ratio of the target double-acting vane pump, the angle range of the pre-compression area and the working condition requirement parameters as the representative radius of the pre-compression area;

[0018] S15: Determine the key point position of the target double-acting vane pump based on the small arc radius, the large arc radius, the representative radius of the pre-compression area, and the angular range of the first small arc area, the second small arc area, the large arc area and the pre-compression area, and determine the shape constraint conditions based on the key point position.

[0019] In an optional embodiment of the present application, the S11 includes: calculating the stator radii of the first small arc area and the second small arc area according to the following formula as the small arc radius:

[0020] R min =r+A, where R min represents the radius of the small arc, r represents the rotor radius of the target double-acting vane pump, and A represents any data between 0.5 mm and 1.0 mm, which may be an engineering experience value of those skilled in the art.

[0021] In an optional embodiment of the present application, the S12 includes: calculating the stator radius of the large arc area according to the following formula as the large arc radius:

[0022]

[0023] Among them, R max represents the radius of the large arc, B represents the rotor width; z represents the number of blades; s represents the blade thickness; n represents the rated speed; q represents the rated flow; η v Indicates volumetric efficiency.

[0024] In an optional embodiment of the present application, the S13 includes: calculating the angle range of the small arc area composed of the first small arc area and the second small arc area, the large arc area and the pre-compression area according to the following formula:

[0025]

[0026] Among them, β 1 represents the angle range of the small arc area, β 2 represents the angle range of the large arc area; β 3 represents the angular range of the pre-compression area.

[0027] In an optional embodiment of the present application, the S14: calculating the minimum stator radius in the pre-compression area according to the following formula as the representative radius of the pre-compression area:

[0028] R pc =R max -ξ(p)β 3 ,

[0029] Among them, R pc ξ(p) represents the pre-compression ratio; and p represents the rated pressure.

[0030] In an optional embodiment of the present application, the S15 includes:

[0031] S151: Determine the first key point of the target double-acting vane pump according to the small arc radius, the angle between the line connecting the first key point and the rotor center and the central axis is 0, and the stator radius corresponding to the first key point is the small arc radius R min ;

[0032] S152: Determine the second key point of the target double-acting vane pump according to the radius of the small arc and the angle range of the first small arc area, and the angle between the line connecting the second key point and the rotor center and the central axis is β 1 / 2, and the stator radius corresponding to the second key point is the small arc radius R min ;

[0033] S153: According to the angle range of the large arc area, the angle range of the pre-compression area and the radius of the large arc, determine the third key point of the target double-acting vane pump, and the angle between the line connecting the third key point and the rotor center and the central axis is (π-β 2 -β 3 ) / 2, and the stator radius corresponding to the third key point is the large arc radius R max ;

[0034] S154: Determine the fourth key point of the target double-acting vane pump according to the angle range of the large arc area, the angle range of the pre-compression area and the radius of the large arc, and the angle between the line connecting the fourth key point and the rotor center and the central axis is (π+β 2 -β 3 ) / 2, and the stator radius corresponding to the third key point is the large arc radius R max ;

[0035] S155: According to the angle range of the large arc area, the angle range of the pre-compression area and the representative radius of the pre-compression area, the fifth key point of the target double-acting vane pump is determined, and the angle between the line connecting the fifth key point and the rotor center and the central axis is (π+β 2 +β 3) / 2, and the stator radius corresponding to the third key point is the representative radius R of the pre-compression area pc ;

[0036] S156: Determine the sixth key point of the target double-acting vane pump according to the angle range of the small arc area and the radius of the small arc, and the angle between the line connecting the sixth key point and the rotor center and the central axis is π-β 1 / 2, and the stator radius corresponding to the sixth key point is the small arc radius R min ;

[0037] S156: According to the small arc radius, determine the seventh key point of the target double-acting vane pump, the angle between the line connecting the seventh key point and the rotor center and the central axis is π, and the stator radius corresponding to the seventh key point is the small arc radius R min .

[0038] In an optional embodiment of the present application, the S15 further includes: determining the shape restriction condition of the stator curve S(θ) of the target double-acting vane pump by the coordinates of the first key point, the second key point, the third key point, the fourth key point, the fifth key point, the sixth key point, and the seventh key point:

[0039]

[0040] Wherein, θ represents the angle between the line connecting a single point on the stator curve and the center of the rotor and the central axis.

[0041] In an optional embodiment of the present application, S2 includes: determining a resonance-free restriction condition for the vane pump speed of the target double-acting vane pump according to the following formula:

[0042]

[0043] Where k represents a positive integer, dθ / dt represents the speed of the vane pump, ω 0 represents the natural frequency of the vane pump, and ω represents the angular frequency of the Fourier function.

[0044] In an optional embodiment of the present application, the multi-objective optimization algorithm in S3 includes: a particle swarm algorithm and a genetic algorithm.

[0045] In an optional embodiment of the present application, the stator curve of the target double-acting vane pump composed of the n-th order Fourier function satisfies the following equation:

[0046]

[0047] Among them, a 0 is a constant term, an and b n are the Fourier coefficients of each order, k represents a positive integer, and ω represents the angular frequency of the Fourier function.

[0048] In a second aspect, the present application discloses a double-acting vane pump stator curve design device based on Fourier function, comprising a processor, an input device, an output device and a memory, wherein the processor, input device, output device and memory are interconnected, wherein the memory is used to store a computer program, the computer program includes program instructions, and the processor is configured to call the program instructions to execute a method as described in any one of the first aspects.

[0049] In a third aspect, the present application further discloses a computer-readable storage medium, wherein the computer storage medium stores a computer program, wherein the computer program includes program instructions, and when the program instructions are executed by a processor, the processor executes the method as described in any one of the first aspects.

[0050] Beneficial effects:

[0051] The present application discloses a method and device for designing the stator curve of a double-acting vane pump based on Fourier function, the method comprising calculating the key point position of the stator curve according to the working condition requirement parameters of the target double-acting vane pump, and obtaining the shape restriction condition; determining the resonance-free restriction condition according to the natural frequency of the target double-acting vane pump; finally, taking minimizing acceleration and jump as the optimization target, taking the shape restriction condition and the resonance-free restriction condition as the restriction, a multi-objective optimization algorithm is used to determine the stator curve composed of n-order Fourier functions. That is, it can ensure that the displacement function of the stator curve is continuous with respect to any order of time derivative, and there is no acceleration mutation, jump mutation, or jump mutation; at the same time, it can also effectively reduce the maximum acceleration and maximum jump, reduce excitation, and avoid mechanical resonance of the vane pump at rated speed.

[0052] In order to make the above-mentioned objects, features and advantages of the present application more obvious and understandable, optional embodiments are specifically listed below and described in detail with reference to the attached drawings. BRIEF DESCRIPTION OF THE DRAWINGS

[0053] In order to more clearly illustrate the technical solutions of the embodiments of the present application, the drawings required for use in the embodiments will be briefly introduced below. It should be understood that the following drawings only show certain embodiments of the present application and therefore should not be regarded as limiting the scope. For ordinary technicians in this field, other related drawings can be obtained based on these drawings without paying creative work.

[0054] Figure 1 It is a cross-sectional view of a rotor and a stator of a pin-type double-acting vane pump provided by the present application;

[0055] Figure 2 yes Figure 1 An enlarged schematic diagram of a blade portion is shown;

[0056] Figure 3 It is a schematic diagram of the division of a first small arc region, an expansion region, a large arc region, a pre-compression region, a compression region, and a second small arc region of a target double-acting vane pump provided by the present application;

[0057] Figure 4 It is a relationship diagram between the stator curve radius and angle provided by the present application;

[0058] Figure 5 It is a comparison diagram of stator displacement curves of a stator curve designed with a high-order transition curve and a stator curve designed with the solution of the present application;

[0059] Figure 6 It is a stator speed curve comparison diagram of a stator curve designed with a high-order transition curve and a stator curve designed with the solution of the present application;

[0060] Figure 7 It is a comparison diagram of stator acceleration curves of a stator curve designed with a high-order transition curve and a stator curve designed with the solution of the present application;

[0061] Figure 8 It is a comparison diagram of stator jump curves of a stator curve designed with a high-order transition curve and a stator curve designed with the solution of the present application. DETAILED DESCRIPTION

[0062] The following will be combined with the drawings in the embodiments of the present application to clearly and completely describe the technical solutions in the embodiments of the present application. Obviously, the described embodiments are only part of the embodiments of the present application, not all of the embodiments. Based on the embodiments in the present application, all other embodiments obtained by ordinary technicians in this field without creative work are within the scope of protection of this application.

[0063] like Figure 1 The figure shows a cross-sectional view of the rotor and stator of a pin-type double-acting vane pump. In the figure, two oil suction area working chambers (61, 62) with gradually increasing stator radii and two oil discharge area working chambers (91, 92) with gradually decreasing stator radii are arranged between the stator 1 and the rotor 2. The rotor 2 can rotate around the input shaft 5, and a plurality of blade grooves and pin grooves that are interconnected are arranged in a radial shape around the stator 1, such as Figure 2 As shown, the blade 3 can move radially in the blade groove, the pin 4 can move radially in the pin groove, a blade bottom cavity 7 is provided between the blade groove and the pin groove, and the end of the pin groove away from the blade bottom cavity 7 is connected to the pin bottom cavity 8. A plurality of rotor cross-section oil holes 10 are also provided between the rotor 2 and the input shaft 5.

[0064] In the pin-type double-acting vane pump, the rotor 2 and the distribution plate are stacked. When working, the rotor 2 rotates around the input shaft 5, and the blades 3 are thrown out by the centrifugal force and the high-pressure oil at the bottom of the blades 3, close to the inner surface of the stator 1, and reciprocating in the blade groove as the curve of the stator 1 changes. When the blade 3 moves from the small diameter to the large diameter, the volume between the two blades 3 gradually increases, forming a local vacuum to absorb oil. When the blade 3 moves from the large diameter to the small diameter, the volume between the two blades 3 gradually decreases and discharges oil. The rotor 2 rotates one circle, and the blade 3 reciprocates twice in the groove, forming two times of oil suction and discharge.

[0065] Therefore, it is necessary to avoid soft and hard impact of the blades on the inner surface of the stator during frequent oil suction and discharge through reasonable stator curve design to reduce the vibration noise of the vane pump. In a first aspect, the present application provides a stator curve design method for a double-acting vane pump based on Fourier function, which includes the following steps.

[0066] S1: Calculate the key point position of the stator curve according to the operating condition requirement parameters of the target double-acting vane pump, and determine the shape constraint conditions based on the key point position.

[0067] In an optional embodiment of the present application, Figure 3 As shown, the target double-acting vane pump is designed to be symmetrical about the rotor center O, and the central axis passing through the rotor center divides the target double-acting vane pump into two equal-sized parts, and a single equal-sized part sequentially includes a first small arc area 101, an expansion area 102, a large arc area 103, a pre-compression area 104, a compression area 105, and a second small arc area 106. The first small arc area 101 and the second small arc area 106 are symmetrically arranged, and the angle ranges are consistent.

[0068] In an optional embodiment of the present application, S1 includes the following steps:

[0069] S11: Calculating the stator radii of the first small arc region and the second small arc region according to the rotor size parameters of the target double-acting vane pump as the small arc radii.

[0070] The stator radius in this application refers to the curvilinear diameter of the stator.

[0071] The rotor size parameter includes the rotor radius. Specifically, S11 includes: calculating the stator radius of the first small arc region and the second small arc region according to the following formula as the small arc radius: R min =r+A, where R min represents the radius of the small arc, r represents the rotor radius of the target double-acting vane pump, and A represents any data between 0.5 mm and 1.0 mm, which may be an engineering experience value of those skilled in the art.

[0072] S12: Calculate the stator radius of the large arc area according to the rotor and blade parameters of the target double-acting vane pump and the operating condition requirement parameters as the large arc radius.

[0073] Among them, the rotor parameters include the rotor width, etc., the blade parameters include the number of blades, blade thickness, etc., and the operating condition requirement parameters include the rated speed, rated flow, volumetric efficiency, etc. Specifically, S12 includes: calculating the stator radius of the large arc area according to the following formula as the large arc radius:

[0074]

[0075] Among them, R max represents the radius of the large arc, B represents the rotor width, z represents the number of blades, s represents the blade thickness, n represents the rated speed, q represents the rated flow, and η v Indicates volumetric efficiency.

[0076] S13: Determine the angle ranges of the first small arc area, the second small arc area, the large arc area and the pre-compression area according to the number of blades of the target double-acting vane pump.

[0077] Specifically, S13 includes: calculating the angle range of the small arc area, the large arc area, and the pre-compression area composed of the first small arc area and the second small arc area according to the following formula:

[0078]

[0079] Among them, β 1 Indicates the angle range of the small arc area, β 2 Indicates the angle range of the large arc area; β 3 Indicates the angular extent of the pre-compression area.

[0080] S14: Calculating the minimum stator radius in the pre-compression area according to the pre-compression ratio of the target double-acting vane pump, the angle range of the pre-compression area, and the working condition requirement parameters as the representative radius of the pre-compression area;

[0081] The working condition requirement parameters include the rated pressure, etc. Specifically, S14: Calculate the minimum stator radius in the pre-compression area according to the following formula as the representative radius of the pre-compression area:

[0082] R pc =R max -ξ(p)β 3 ,

[0083] Among them, R pc represents the radius of the pre-compression area; ξ(p) represents the pre-compression ratio; and p represents the rated pressure.

[0084] S15: Determine the key point positions of the target double-acting vane pump according to the small arc radius, the large arc radius, the representative radius of the pre-compression area, and the angle ranges of the first small arc area, the second small arc area, the large arc area and the pre-compression area, and determine the shape constraint conditions from the key point positions.

[0085] S2: Determine a resonance-free restriction condition on a vane pump rotation speed of the target double-acting vane pump according to the natural frequency of the target double-acting vane pump.

[0086] In an optional embodiment of the present application, S2 includes: determining a resonance-free restriction condition on a vane pump speed of a target double-acting vane pump according to the following formula:

[0087]

[0088] Where k represents a positive integer, dθ / dt represents the speed of the vane pump, ω 0 represents the natural frequency of the vane pump, and ω represents the angular frequency of the Fourier function.

[0089] S3: Taking minimization of acceleration and jerk as optimization objectives, and shape constraints and resonance-free constraints as constraints, a multi-objective optimization algorithm is used to determine the stator curve of the target double-acting vane pump composed of n-order Fourier functions.

[0090] In an optional embodiment of the present application, the multi-objective optimization algorithm in S3 includes: a particle swarm algorithm and a genetic algorithm.

[0091] In an optional embodiment of the present application, the stator curve of the target double-acting vane pump composed of an n-order Fourier function satisfies the following equation:

[0092]

[0093] Among them, a 0 is a constant term, a n and b n are the Fourier coefficients of each order, k represents a positive integer, and ω represents the angular frequency of the Fourier function.

[0094] Among them, S1, S2, etc. are only step identifiers, and the execution order of the method is not necessarily in the order of numbers from small to large. For example, step S2 may be executed first and then step S1. This application does not impose any limitation on this.

[0095] It can be understood that the present application discloses a method and device for designing the stator curve of a double-acting vane pump based on Fourier function, the method comprising calculating the key point positions of the stator curve according to the working condition requirement parameters of the target double-acting vane pump, and deriving the shape restriction conditions; determining the resonance-free restriction conditions according to the natural frequency of the target double-acting vane pump; finally, taking minimizing acceleration and jump as the optimization target, taking the shape restriction conditions and the resonance-free restriction conditions as the restrictions, and adopting a multi-objective optimization algorithm to determine the stator curve composed of n-order Fourier functions. That is, it can ensure that the displacement function of the stator curve is continuous with respect to any order of time derivative, and there is no acceleration mutation, jump mutation, or jump mutation; at the same time, it can also effectively reduce the maximum acceleration and maximum jump, reduce excitation, and avoid mechanical resonance of the vane pump at rated speed.

[0096] In an optional embodiment of the present application, S15 includes:

[0097] S151: Determine the first key point of the target double-acting vane pump according to the small arc radius, the angle between the line connecting the first key point and the rotor center and the central axis is 0, and the stator radius corresponding to the first key point is the small arc radius R min ,like Figure 4 As shown, the first key point is point A in the figure.

[0098] S152: Determine the second key point of the target double-acting vane pump according to the radius of the small arc and the angle range of the first small arc area. The angle θa between the line connecting the second key point and the rotor center and the central axis is β 1 / 2, and the stator radius corresponding to the second key point is the small arc radius R min ,like Figure 4 As shown, the second key point is point B in the figure.

[0099] S153: According to the angle range of the large arc area, the angle range of the pre-compression area and the radius of the large arc, the third key point of the target double-acting vane pump is determined. The angle θb between the line connecting the third key point and the rotor center and the central axis is (π-β 2 -β 3 ) / 2, and the stator radius corresponding to the third key point is the large arc radius R max ,like Figure 4 As shown, the third key point is point C in the figure.

[0100] S154: According to the angle range of the large arc area, the angle range of the pre-compression area and the radius of the large arc, the fourth key point of the target double-acting vane pump is determined. The angle θc between the line connecting the fourth key point and the rotor center and the central axis is (π+β 2 -β 3 ) / 2, and the stator radius corresponding to the third key point is the large arc radius R max ,like Figure 4 As shown, the fourth key point is point D in the figure.

[0101] S155: According to the angle range of the large arc area, the angle range of the pre-compression area and the representative radius of the pre-compression area, the fifth key point of the target double-acting vane pump is determined. The angle θd between the line connecting the fifth key point and the rotor center and the central axis is (π+β 2 +β 3 ) / 2, and the stator radius corresponding to the third key point is the representative radius R of the pre-compression area pc ,like Figure 4 As shown, the fifth key point is point E in the figure.

[0102] S156: Determine the sixth key point of the target double-acting vane pump according to the angle range and radius of the small arc area, and the angle θe between the line connecting the sixth key point and the rotor center and the central axis is π-β 1 / 2, and the stator radius corresponding to the sixth key point is the small arc radius R min ,like Figure 4 As shown, the sixth key point is point F in the figure.

[0103] S156: According to the small arc radius, determine the seventh key point of the target double-acting vane pump, the angle between the line connecting the seventh key point and the rotor center and the central axis is π, and the stator radius corresponding to the seventh key point is the small arc radius R min ,like Figure 4 As shown, the seventh key point is point G in the figure.

[0104] In an optional embodiment of the present application, S15 also includes: determining the shape constraint condition of the stator curve S(θ) of the target double-acting vane pump by the coordinates of the first key point, the second key point, the third key point, the fourth key point, the fifth key point, the sixth key point, and the seventh key point:

[0105]

[0106] Wherein, θ represents the angle between the line connecting a single point on the stator curve and the rotor center and the central axis.

[0107] like Figures 5 to 8As shown, there are stator displacement curve comparison diagrams, stator velocity curve comparison diagrams, stator acceleration curve comparison diagrams and stator jump curve comparison diagrams of the stator curve designed with a high-order transition curve and the stator curve designed with the scheme of the present application, respectively. It can be seen that the stator curve design method for a double-acting vane pump based on Fourier function disclosed in the present application does not have acceleration mutations and jump mutations in the stator curve designed with a high-order transition curve. The stator curve design method for a double-acting vane pump based on Fourier function disclosed in the present application can ensure that the displacement function of the stator curve is continuous with respect to any order of time derivative, and there is no acceleration mutation, jump mutation, or jump mutation; at the same time, it can also effectively reduce the maximum acceleration and maximum jump, reduce excitation, and avoid mechanical resonance of the vane pump at rated speed.

[0108] In a second aspect, the present application provides a double-acting vane pump stator curve design device based on Fourier function. Figure 8 As shown, the stator curve design device for a double-acting vane pump based on Fourier function includes one or more processors; one or more input devices, one or more output devices and a memory. The processor, input device, output device and memory are connected via a bus. The memory is used to store a computer program, which includes program instructions, and the processor is used to execute the program instructions stored in the memory. The processor is configured to call the program instructions to perform the operation of any method of the first aspect:

[0109] It should be understood that in the embodiments of the present invention, the processor referred to may be a central processing unit (CPU), and the processor may also be other general-purpose processors, digital signal processors (DSP), application-specific integrated circuits (ASIC), field-programmable gate arrays (FPGA) or other programmable logic devices, discrete gate or transistor logic devices, discrete hardware components, etc. A general-purpose processor may be a microprocessor or the processor may also be any conventional processor, etc.

[0110] Input devices may include a touchpad, a fingerprint sensor (for collecting the user's fingerprint information and fingerprint direction information), a microphone, etc., and output devices may include a display (LCD, etc.), a speaker, etc.

[0111] The memory may include a read-only memory and a random access memory, and provide instructions and data to the processor. A portion of the memory may also include a non-volatile random access memory. For example, the memory may also store information about the device type.

[0112] In a specific implementation, the processor, input device, and output device described in the embodiments of the present invention may execute the implementation method described in any method of the first aspect, or may execute the implementation method of the terminal device described in the embodiments of the present invention, which will not be repeated here.

[0113] In a third aspect, the present invention provides a computer-readable storage medium storing a computer program, wherein the computer program includes program instructions, and when the program instructions are executed by a processor, the steps of any method of the first aspect are implemented.

[0114] The computer-readable storage medium may be an internal storage unit of the terminal device of any of the aforementioned embodiments, such as a hard disk or memory of the terminal device. The computer-readable storage medium may also be an external storage device of the terminal device, such as a plug-in hard disk, a smart memory card (Smart Media Card, SMC), a secure digital (Secure Digital, SD) card, a flash card (Flash Card), etc. equipped on the terminal device. Furthermore, the computer-readable storage medium may also include both an internal storage unit of the terminal device and an external storage device. The computer-readable storage medium is used to store the computer program and other programs and data required by the terminal device. The computer-readable storage medium may also be used to temporarily store data that has been output or is to be output.

[0115] Those of ordinary skill in the art will appreciate that the units and algorithm steps of each example described in conjunction with the embodiments disclosed herein can be implemented in electronic hardware, computer software, or a combination of the two. In order to clearly illustrate the interchangeability of hardware and software, the composition and steps of each example have been generally described in terms of function in the above description. Whether these functions are performed in hardware or software depends on the specific application and design constraints of the technical solution. Professional and technical personnel can use different methods to implement the described functions for each specific application, but such implementation should not be considered to be beyond the scope of the present invention.

[0116] In the several embodiments provided in the present application, it should be understood that the disclosed terminal device and method can be implemented in other ways. For example, the device embodiments described above are only schematic. For example, the division of the above units is only a logical function division. There may be other division methods in actual implementation, such as multiple units or components can be combined or integrated into another system, or some features can be ignored or not executed. In addition, the mutual coupling or direct coupling or communication connection shown or discussed can be an indirect coupling or communication connection through some interfaces, devices or units, or it can be an electrical, mechanical or other form of connection.

[0117] The units described above as separate components may or may not be physically separated, and the components shown as units may or may not be physical units, that is, they may be located in one place or distributed on multiple network units. Some or all of the units may be selected according to actual needs to achieve the purpose of the embodiments of the present invention.

[0118] In addition, each functional unit in each embodiment of the present invention may be integrated into one processing unit, or each unit may exist physically separately, or two or more units may be integrated into one unit. The above-mentioned integrated unit may be implemented in the form of hardware or in the form of software functional units.

[0119] If the above-mentioned integrated unit is implemented in the form of a software functional unit and sold or used as an independent product, it can be stored in a computer-readable storage medium. Based on such an understanding, the technical solution of the present invention is essentially or the part that contributes to the prior art, or all or part of the technical solution can be embodied in the form of a software product, and the computer software product is stored in a storage medium, including a number of instructions for a computer device (which can be a personal computer, a server, or a network device, etc.) to perform all or part of the steps of the method in each embodiment of the present invention. The aforementioned storage medium includes: U disk, mobile hard disk, read-only memory (ROM, Read-Only Memory), random access memory (RAM, Random Access Memory), disk or optical disk and other media that can store program codes.

[0120] The expressions "first", "second", "the first" or "the second" used in various embodiments of the present disclosure may modify various components regardless of order and / or importance, but these expressions do not limit the corresponding components. The above expressions are only configured for the purpose of distinguishing an element from other elements. For example, a first user device and a second user device represent different user devices, although both are user devices. For example, a first element may be referred to as a second element, and similarly, a second element may be referred to as a first element without departing from the scope of the present disclosure.

[0121] When one element (e.g., a first element) is referred to as being "(operably or communicatively) coupled" or "(operably or communicatively) coupled to" or "connected to" another element (e.g., a second element), it is understood that the one element is directly connected to the other element or the one element is indirectly connected to the other element via yet another element (e.g., a third element). Conversely, it is understood that when an element (e.g., a first element) is referred to as being "directly connected" or "directly coupled" to another element (the second element), no element (e.g., a third element) is interposed between the two.

[0122] It should be noted that, in this article, the terms "include", "comprises" or any other variants thereof are intended to cover non-exclusive inclusion, so that a process, method, article or device including a series of elements includes not only those elements, but also includes other elements not explicitly listed, or also includes elements inherent to such process, method, article or device. In the absence of further restrictions, an element defined by the sentence "includes a ..." does not exclude the existence of other identical elements in the process, method, article or device including the element. In addition, components, features, and elements with the same name in different embodiments of the present application may have the same meaning or different meanings, and their specific meanings need to be determined by their explanation in the specific embodiment or further combined with the context of the specific embodiment.

[0123] The above description is only an optional embodiment of the present application and an explanation of the technical principles used. Those skilled in the art should understand that the scope of the invention involved in the present application is not limited to the technical solution formed by a specific combination of the above technical features, but should also cover other technical solutions formed by any combination of the above technical features or their equivalent features without departing from the above invention concept. For example, the above features are replaced with the technical features with similar functions disclosed in this application (but not limited to) by each other.

[0124] As used herein, the words "if" and "if" may be interpreted as "at the time of" or "when" or "in response to determining" or "in response to detecting", depending on the context. Similarly, the phrases "if it is determined" or "if (stated condition or event) is detected" may be interpreted as "when it is determined" or "in response to determining" or "when detecting (stated condition or event)" or "in response to detecting (stated condition or event)", depending on the context.

[0125] The above description is only an optional embodiment of the present application and an explanation of the technical principles used. Those skilled in the art should understand that the scope of the invention involved in the present application is not limited to the technical solution formed by a specific combination of the above technical features, but should also cover other technical solutions formed by any combination of the above technical features or their equivalent features without departing from the above invention concept. For example, the above features are replaced with the technical features with similar functions disclosed in this application (but not limited to) by each other.

[0126] The above description is only an optional embodiment of the present application and is not intended to limit the present application. For those skilled in the art, the present application may have various modifications and variations. Any modification, equivalent replacement, improvement, etc. made within the spirit and principle of the present application shall be included in the protection scope of the present application.

Claims

1. A method for designing stator curve of double-acting vane pump based on Fourier function, characterized in that: The following steps are involved: S1: Calculating the key point positions of the stator curve of the target double-acting vane pump according to the working condition requirement parameters of the target double-acting vane pump, and determining the shape restriction conditions according to the key point positions; S2: determining a resonance-free restriction condition on a vane pump speed of the target double-acting vane pump according to the natural frequency of the target double-acting vane pump; S3: taking minimization of acceleration and jerk as optimization objectives, taking the shape constraint condition and the resonance-free constraint condition as constraints, and using a multi-objective optimization algorithm to determine the stator curve of the target double-acting vane pump composed of an n-order Fourier function; The target double-acting vane pump is designed to be centrally symmetrical about the center of the rotor, and the central axis passing through the center of the rotor divides the target double-acting vane pump into two equal-sized parts, and each of the equal-sized parts sequentially includes a first small arc area, an expansion area, a large arc area, a pre-compression area, a compression area, and a second small arc area; The S1 comprises the following steps: S11: calculating the stator radii of the first small arc area and the second small arc area according to the rotor size parameters of the target double-acting vane pump as the small arc radii; S12: Calculating the stator radius of the large arc area according to the rotor and blade parameters and the working condition requirement parameters of the target double-acting vane pump as the large arc radius; S13: determining the angle ranges of the first small arc area, the second small arc area, the large arc area, and the pre-compression area according to the number of blades of the target double-acting vane pump; S14: Calculating the minimum stator radius in the pre-compression area according to the pre-compression ratio of the target double-acting vane pump, the angle range of the pre-compression area and the working condition requirement parameters as the representative radius of the pre-compression area; S15: Determine the key point position of the target double-acting vane pump based on the small arc radius, the large arc radius, the representative radius of the pre-compression area, and the angular range of the first small arc area, the second small arc area, the large arc area and the pre-compression area, and determine the shape constraint conditions based on the key point position.

2. The stator curve design method of a double-acting vane pump based on Fourier function according to claim 1 is characterized in that: The step S11 includes: calculating the stator radii of the first small arc region and the second small arc region according to the following formula as the small arc radius: R min =r+A, where R min represents the radius of the small arc, r represents the rotor radius of the target double-acting vane pump, and A represents any data between 0.5 mm and 1.0 mm; The S12 includes: calculating the stator radius of the large arc area according to the following formula as the large arc radius: Among them, R max represents the radius of the large arc, B represents the rotor width; z represents the number of blades; s represents the blade thickness; n represents the rated speed; q represents the rated flow; η v It represents volumetric efficiency; The S13 includes: calculating the angle range of the small arc area composed of the first small arc area and the second small arc area, the large arc area and the pre-compression area according to the following formula: Wherein, β1 represents the angle range of the small arc area, β2 represents the angle range of the large arc area; β3 represents the angle range of the pre-compression area; S14: Calculate the minimum stator radius in the pre-compression area according to the following formula as the representative radius of the pre-compression area: R pc =R max -ξ(p)β3, Among them, R pc ξ(p) represents the pre-compression ratio; and p represents the rated pressure.

3. The stator curve design method of a double-acting vane pump based on Fourier function according to claim 2 is characterized in that: The S15 includes: S151: Determine the first key point of the target double-acting vane pump according to the small arc radius, the angle between the line connecting the first key point and the rotor center and the central axis is 0, and the stator radius corresponding to the first key point is the small arc radius R min ; S152: Determine the second key point of the target double-acting vane pump according to the small arc radius and the angle range of the first small arc area, the angle between the second key point and the rotor center and the central axis is β1 / 2, and the stator radius corresponding to the second key point is the small arc radius R min ; S153: According to the angle range of the large arc area, the angle range of the pre-compression area and the large arc radius, determine the third key point of the target double-acting vane pump, the angle between the line connecting the third key point and the rotor center and the central axis is (π-β2-β3) / 2, and the stator radius corresponding to the third key point is the large arc radius R max ; S154: Determine the fourth key point of the target double-acting vane pump according to the angle range of the large arc area, the angle range of the pre-compression area and the large arc radius, the angle between the line connecting the fourth key point and the rotor center and the central axis is (π+β2-β3) / 2, and the stator radius corresponding to the third key point is the large arc radius R max ; S155: According to the angle range of the large arc area, the angle range of the pre-compression area and the representative radius of the pre-compression area, determine the fifth key point of the target double-acting vane pump, the angle between the line connecting the fifth key point and the rotor center and the central axis is (π+β2+β3) / 2, and the stator radius corresponding to the third key point is the representative radius R of the pre-compression area. pc ; S156: Determine the sixth key point of the target double-acting vane pump according to the angle range of the small arc area and the radius of the small arc, the angle between the line connecting the sixth key point and the rotor center and the central axis is π-β1 / 2, and the stator radius corresponding to the sixth key point is the small arc radius R min ; S156: According to the small arc radius, determine the seventh key point of the target double-acting vane pump, the angle between the line connecting the seventh key point and the rotor center and the central axis is π, and the stator radius corresponding to the seventh key point is the small arc radius R min .

4. The stator curve design method for a double-acting vane pump based on Fourier function according to claim 3 is characterized in that: The S15 further includes: determining the shape restriction condition of the stator curve S(θ) of the target double-acting vane pump according to the coordinates of the first key point, the second key point, the third key point, the fourth key point, the fifth key point, the sixth key point, and the seventh key point: Wherein, θ represents the angle between the line connecting a single point on the stator curve and the center of the rotor and the central axis.

5. The stator curve design method of a double-acting vane pump based on Fourier function according to claim 1, characterized in that: The S2 includes: determining a resonance-free restriction condition on the vane pump speed of the target double-acting vane pump according to the following formula: Wherein, k represents a positive integer, dθ / dt represents the speed of the vane pump, ω0 represents the natural frequency of the vane pump, and ω represents the angular frequency of the Fourier function.

6. The method for designing a stator curve of a double-acting vane pump based on Fourier function according to any one of claims 1 to 5, characterized in that: The multi-objective optimization algorithm in S3 includes: particle swarm algorithm and genetic algorithm.

7. The method for designing a stator curve of a double-acting vane pump based on Fourier function according to any one of claims 1 to 5, characterized in that: The stator curve of the target double-acting vane pump composed of the n-th order Fourier function satisfies the following equation: Among them, a0 is a constant term, a n and b n are the Fourier coefficients of each order, k represents a positive integer, and ω represents the angular frequency of the Fourier function.

8. A double-acting vane pump stator curve design device based on Fourier function, characterized in that: The method comprises a processor, an input device, an output device and a memory, wherein the processor, the input device, the output device and the memory are interconnected, wherein the memory is used to store a computer program, the computer program comprises program instructions, and the processor is configured to call the program instructions to execute the method according to any one of claims 1 to 7.

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