Control method of aerostatic spindle and aerostatic spindle

Abstract

The application provides a control method of a gas static pressure spindle and the gas static pressure spindle, and relates to the technical field of precision machine tool machining. The control method of the gas static pressure spindle comprises the following steps: S100, determining a first grinding force and a second grinding force borne by a shaft assembly; S200, determining a first radial force and a second radial force based on the second grinding force; S300, determining a first axial force and a second axial force based on the first grinding force; S400, controlling the air inlet pressure of four first radial parts and four second radial parts based on the first radial force and the second radial force; and S500, controlling the air inlet pressure of four first thrust parts and a second thrust part based on the first axial force and the second axial force. The application can solve the problem that the rigidity of the gas static pressure spindle is low, the mandrel will be deviated when subjected to a cutting force, the contact position of the grinding wheel and the workpiece deviates from the expected contact position, and the machining precision is affected.

Description

Technical Field

[0001] This application relates to the field of precision machine tool processing technology, and in particular to a control method for a gas static pressure spindle and a gas static pressure spindle. Background Technology

[0002] Gas hydrostatic spindles are characterized by low wear, low friction, and high precision, making them a key component in the field of precision machine tool machining. Compared to spindles using ball bearings or hydrostatic bearings, gas hydrostatic spindles have lower rigidity. During machining, the workpiece exerts a force on the entire assembly of the grinding wheel and mandrel, resulting in a significant external force on the end of the mandrel where the grinding wheel is located. This can cause the mandrel to shift, leading to a deviation between the contact position between the grinding wheel and the workpiece and the expected contact position, thus affecting machining accuracy.

[0003] Currently, in gas hydrostatic spindles, increasing the size of the gas hydrostatic bearings can improve the spindle's rigidity. This significantly increases the spindle's size and mass, placing higher demands on the machine tool's overall rigidity and motion control. It also increases the machining difficulty and cost of the spindle's components. Alternatively, rigidity can be improved by altering the shape of the mandrel to change the positions of the radial and axial gas hydrostatic bearings. For example, the mandrel can be T-shaped, U-shaped, or I-shaped. Changing the arrangement of the radial and axial gas hydrostatic bearings can improve the spindle's rigidity and stability to some extent, but the spindle's rigidity remains relatively low, and the risk of mandrel misalignment is significant. Summary of the Invention

[0004] In view of this, this application provides a control method for a gas static pressure spindle and a gas static pressure spindle to solve the problem that the rigidity of the gas static pressure spindle is low, and the spindle will still deviate when subjected to cutting force, which causes the contact position between the grinding wheel and the workpiece to deviate from the expected contact position, thereby affecting the machining accuracy.

[0005] According to one aspect of this application, a control method for a gas static pressure spindle is provided. The control method controls the inlet pressure of the gas static pressure spindle. The gas static pressure spindle includes a shaft assembly, a first radial bearing, a second radial bearing, a first thrust bearing, and a second thrust bearing. The shaft assembly includes a mandrel, a grinding wheel rod, and a grinding wheel. The mandrel includes an extension and a main body. The extension protrudes from the outer side wall of the main body. The main body is connected to the grinding wheel via the grinding wheel rod. The first thrust bearing and the second thrust bearing are both disposed on the main body, located on opposite sides of the extension. One side of the grinding wheel in a predetermined direction is used to contact the workpiece. The first radial bearing is disposed on the main body opposite to the grinding wheel. At the end, a second radial bearing is disposed on the main body, located between the first radial bearing and the grinding wheel rod. The first radial bearing is divided into four first radial portions, which are arranged around the circumference of the main body, with two of the first radial portions facing each other in a predetermined direction. The second radial bearing is divided into four second radial portions, which are arranged around the circumference of the main body, with two of the second radial portions facing each other in a predetermined direction. The first thrust bearing is divided into four first thrust portions, which are arranged around the circumference of the main body. The second thrust bearing is divided into four second thrust portions, which are arranged around the circumference of the main body.

[0006] The control method for the gas static pressure spindle includes:

[0007] S100, Determine that the shaft assembly is subjected to a first grinding force F extending along the axial direction of the mandrel. g and a second grinding force F extending radially along the mandrel n ;

[0008] S200, based on the second grinding force F n When the shaft assembly is balanced, the first radial force F applied by the first radial bearing to the mandrel is determined. r1 and the second radial force F applied by the second radial bearing to the mandrel r2 ;

[0009] S300, based on the first grinding force F g When the shaft assembly is balanced, the first axial force F applied by the first thrust bearing to the spindle is determined. a1 and the second axial force F applied by the second thrust bearing to the spindle a2 ;

[0010] S400, based on the first radial force Fr1 Controlling the intake pressure of the four first radial sections, based on the second radial force F r2 Control the intake pressure of the four second radial sections;

[0011] S500, based on the first axial force F a1 Second axial force F a2 Control the air intake pressure of the four first thrust sections and the air intake pressure of the four second thrust sections.

[0012] Preferably, the first radial force F r1 and the second radial force F r2 satisfy:

[0013] F n ×L1=F r1 ×L2;

[0014] F r2 =F n +F r1 ;

[0015] Wherein, L1 is the distance between the grinding wheel and the second radial bearing in the axial direction, and L2 is the distance between the second radial bearing and the first radial bearing in the axial direction.

[0016] Preferably, two of the four first thrust sections that require intake pressure adjustment are defined as the first adjustment section and the second adjustment section.

[0017] The first axial force F a1 and the second axial force F a2 satisfy:

[0018] F a1 ×W1=F a2 ×W2;

[0019] F g =F a1 +F a2 ;

[0020] Wherein, the position where the grinding wheel contacts the workpiece is the contact position, W1 is the distance between the contact position and the first adjustment part, and W2 is the distance between the contact position and the second adjustment part.

[0021] Preferably, when the grinding wheel is not in contact with the workpiece, the air intake pressure of any of the first radial portions is a third preset pressure P'3, and any of the first radial portions applies a first initial force F' to the main body. r1 The intake pressure of any second radial portion is a fourth preset pressure P'4, and any second radial portion applies a second initial force F' to the main body.r2 The direction of the force applied to the main body is aligned with the direction of the second grinding force F. n The first radial portion, having the same direction as the first force-applying portion, is defined as the first force-applying portion, and the direction of the force applied to the main body portion is the same as that of the second grinding force F. n The second radial portion, with the opposite direction, is defined as the second force-applying portion;

[0022] Step S400 includes:

[0023] S410. Determine the first bearing force F applied by the first force-applying part to the main body when the grinding wheel is in contact with the workpiece and the shaft assembly is balanced. r1 And the second bearing force F” of the second force-applying part on the main body. r2 The first bearing capacity F” r1 and the second bearing capacity F” r2 Satisfy: F” r1 =F r1 +F' r1 ,F” r2 =F r2 +F' r2 ;

[0024] S420, based on the first bearing capacity F” r1 The intake pressure of the first force-applying part is controlled to be increased to the third intake pressure P3, and the intake pressure of the other three first radial parts is controlled to be maintained at the third preset pressure P'3.

[0025] S430, based on the second bearing capacity F” r2 The intake pressure of the second force-applying part is controlled to be increased to the fourth intake pressure P4, and the intake pressure of the other three second radial parts is controlled to maintain the fourth preset pressure P'4.

[0026] Preferably, the four second radial portions correspond to the four second thrust portions respectively, and the corresponding second radial portions and second thrust portions are connected to the same air intake component so that the air intake pressure of the corresponding second radial portions and second thrust portions is equal. The second thrust portion corresponding to the second force-applying portion is defined as the third force-applying portion. When the grinding wheel portion is not in contact with the workpiece and the shaft assembly is balanced, the air intake pressure of the third force-applying portion is equal to the fourth preset pressure P'4. When the grinding wheel is in contact with the workpiece and the shaft assembly is balanced, the air intake pressure of the third force-applying portion is equal to the fourth air intake pressure P4. When the air intake pressure of the third force-applying portion increases from the fourth preset pressure P'4 to the fourth air intake pressure P4, the change in force applied by the third force-applying portion is the adjustment force F. a0 ;

[0027] When the grinding wheel is not in contact with the workpiece, the air intake pressure of any of the first thrust portions is equal to the first preset pressure P'1, and any of the first thrust portions applies a first preset force F' to the mandrel. a1 The intake pressure of any second thrust member is equal to the second preset pressure P'2, and any second thrust member applies a second preset force F' to the spindle. a2 The first preset force F' applied by the first thrust portion a1 The second preset force F' applied by the second thrust member corresponding to the first thrust member. a2 The resultant force is one-quarter of the weight G of the shaft assembly;

[0028] Step S500 includes:

[0029] S510. Determine the first support force F applied by the first adjusting part when the grinding wheel is in contact with the workpiece and the shaft assembly is balanced. a1 and the second support force F applied by the second adjustment part a2 The first supporting force F” a1 Satisfying F” a1 =F' a1 -F a1 The second support force satisfies F” a2 =F' a1 +F a0 -F a2 ;

[0030] S520, based on the first support force F” a1 The intake pressure in the first regulating section is reduced to the first intake pressure P1, based on the second support force F". a2 The intake pressure of the second regulating part is reduced to the second intake pressure P2, while the intake pressure of the other two first thrust parts is maintained at the first preset pressure P'1; the intake pressure of the third force application part is maintained at the fourth intake pressure P4, while the intake pressure of the other three second thrust parts is maintained at the second preset pressure P'2.

[0031] Preferably, the four second radial portions and the four second thrust portions are respectively connected to different air intake components;

[0032] When the grinding wheel is not in contact with the workpiece, the air intake pressure of any of the first thrust portions is equal to the first preset pressure P'1, and any of the first thrust portions applies a first preset force F' to the mandrel. a1 The intake pressure of any second thrust member is equal to the second preset pressure P'2, and any second thrust member applies a second preset force F' to the spindle. a2 The first preset force F' applied by the first thrust portion a1The second preset force F' applied by the second thrust member corresponding to the first thrust member. a2 The resultant force is one-quarter of the weight G of the shaft assembly;

[0033] Step S500 includes:

[0034] S510. Determine the first support force F applied by the first adjusting part when the grinding wheel is in contact with the workpiece and the shaft assembly is balanced. a1 and the second support force F applied by the second adjustment part a2 The first supporting force F” a1 Satisfying F” a1 =F' a1 -F a1 The second support force satisfies F” a2 =F' a1 -F a2 ;

[0035] S520, based on the first support force F” a1 The intake pressure in the first regulating section is reduced to the first intake pressure P1, based on the second support force F". a2 The intake pressure of the second regulating section is reduced to the second intake pressure P2, while the intake pressure of the other two first thrust sections is maintained at the first preset pressure P'1; the intake pressure of the four second thrust sections is maintained at the second preset pressure P'2.

[0036] Preferably, the first bearing capacity F” r1 and the second bearing capacity F” r2 satisfy:

[0037] F” r1 =C w3 P3A r1 ;

[0038] F” r2 =C w4 P4A r2 ;

[0039] Among them, A r1 The first equivalent area, r r1 Where h1 is the inner diameter of the first radial section, h1 is the height of the first radial section, and C is the inner diameter of the first radial section. w3 The third bearing capacity factor; A r2 This is the second equivalent area. r r2 h1 is the inner diameter of the first radial section, h2 is the height of the first radial section, and C is the inner diameter of the first radial section. w4 It is the fourth bearing capacity factor.

[0040] Preferably, the first intake pressure P1 and the second intake pressure P2 satisfy the following:

[0041] F” a1 =C w1 P1A a1 ;

[0042] F” a2 =C w1 P2A a1 ;

[0043] The first preset force F' a1 and the second preset force F' a2 satisfy:

[0044] F' a1 =C w1 P'1A a1 ;

[0045] F' a2 =C w2 P'2A a2 ;

[0046] The adjusting force F a0 Satisfy: F a0 =C w2 (P4-P'4)A a2 ;

[0047] Among them, A a1 The first load-bearing area, R a1 r is the outer diameter of the first thrust section. a1 C is the inner diameter of the first thrust section. w1 The first bearing capacity factor;

[0048] A a2 For the second bearing area, R a2 r is the outer diameter of the second thrust section. a2 C is the inner diameter of the second thrust section. w2 This is the second bearing capacity factor.

[0049] Preferably, the first intake pressure P1 and the second intake pressure P2 satisfy the following:

[0050] F” a1 =C w1 P1A a1 ;

[0051] F” a2 =C w1 P2A a1 ;

[0052] The first preset force F'a1 and the second preset force F' a2 satisfy:

[0053] F' a1 =C w1 P'1A a1 ;

[0054] F' a2 =C w2 P'2A a2 ;

[0055] Among them, A a1 The first load-bearing area, R a1 r is the outer diameter of the first thrust section. a1 C is the inner diameter of the first thrust section. w1 The first bearing capacity factor;

[0056] A a2 For the second bearing area, R a2 r is the outer diameter of the second thrust section. a2 C is the inner diameter of the second thrust section. w2 This is the second bearing capacity factor.

[0057] According to another aspect of this application, a gas static pressure spindle is provided, which is used to perform the above-described control method for a gas static pressure spindle.

[0058] When controlling the gas static pressure spindle using the control method of this application, by controlling the air intake pressure of the four first radial sections and the four second radial sections, the first and second radial bearings can apply a first radial force and a second radial force to the main body. These forces balance the second grinding force acting on the shaft assembly in the radial direction. Similarly, by controlling the air intake pressure of the four first thrust sections and the four second thrust sections, the first and second thrust bearings can apply a first axial force and a second axial force to the grinding wheel rod. These forces balance the first grinding force acting on the shaft assembly in the axial direction. Thus, by controlling the air intake pressure of the first radial sections, the second radial sections, the first thrust sections, and the second thrust sections, the second grinding force and the first grinding force acting on the mandrel can be balanced, thereby preventing deviations in the contact position between the grinding wheel and the workpiece caused by mandrel misalignment, and ensuring the machining accuracy of the workpiece. Attached Figure Description

[0059] To more clearly illustrate the technical solutions of the embodiments of this application, the accompanying drawings used in the embodiments will be briefly introduced below. It should be understood that the following drawings only show some embodiments of this application and should not be regarded as a limitation of the scope. For those skilled in the art, other related drawings can be obtained based on these drawings without creative effort.

[0060] Figure 1 A flowchart illustrating the control method for a gas static pressure spindle;

[0061] Figure 2 A cross-sectional view of the gas static pressure spindle of Embodiment 1 is shown from one perspective;

[0062] Figure 3 A cross-sectional view of the gas static pressure spindle of Embodiment 1 is shown from another perspective;

[0063] Figure 4 A three-dimensional structural schematic diagram of the gas static pressure spindle of Embodiment 1 is shown;

[0064] Figure 5 The diagram shows the relative positions of the first axial force, the second axial force, and the first grinding force when the grinding wheel is in contact with the workpiece and the shaft assembly is balanced.

[0065] Figure 6 The diagram shows the relative positions of the first radial force, the second radial force, and the second grinding force when the grinding wheel is in contact with the workpiece and the shaft assembly is balanced.

[0066] Figure 7 A cross-sectional view of the gas static pressure spindle of Embodiment 2 is shown from one perspective;

[0067] Figure 8 A cross-sectional view of the gas static pressure spindle of Embodiment 2 is shown from another perspective;

[0068] Figure 9 A three-dimensional structural schematic diagram of the gas static pressure spindle of Embodiment 2 is shown;

[0069] Figure 10 A schematic diagram of the structure of the first radial bearing is shown;

[0070] Figure 11 A schematic diagram of the second thrust bearing is shown.

[0071] Icons: 1-Mandrel; 1a-Main body; 1b-Extension; 2-Spindle seat; 3-Second radial bearing; 4-Second thrust bearing; 5-Motor housing; 6-Cooling water jacket; 7-Sealing ring; 8-Motor stator; 9-Motor rotor; 10-Locking nut; 11-Stator retaining ring; 12-Bearing sleeve; 13-First radial bearing; 13a-First radial part; 13b-First radial groove; 14-Aviation socket; 15-Rear end cover; 16-Adjusting shim; 17-Front thrust end cover; 18-First thrust bearing; 18a-First thrust part; 18b-First thrust groove; 19-Front end cover; 20-First connector; 21-Second connector; 22-Third connector; 23-Plug; 24-Silencer; 25-Coolant connector; 26-Grinding wheel; 27-Grinding wheel rod. Detailed Implementation

[0072] The following detailed embodiments are provided to help the reader gain a comprehensive understanding of the methods, apparatus, and / or systems described herein. However, various changes, modifications, and equivalents of the methods, apparatus, and / or systems described herein will be apparent after understanding the disclosure of this application. For example, the order of operations described herein is merely illustrative and is not limited to the order set forth herein; changes that will be apparent after understanding the disclosure of this application are possible, except for operations that must occur in a specific order. Furthermore, for clarity and brevity, descriptions of features known in the art may be omitted.

[0073] The features described herein may be implemented in different forms and should not be construed as being limited to the examples described herein. Rather, the examples described herein have been provided merely to illustrate some of the many feasible ways of implementing the methods, apparatus, and / or systems described herein that will be apparent upon understanding the disclosure of this application.

[0074] Throughout the specification, when an element (such as a layer, region, or substrate) is described as being "on" another element, "connected to" another element, "bonded to" another element, "on" another element, or "covering" another element, it may be directly "on" another element, "connected to" another element, "bonded to" another element, "on" another element, or "covering" another element, or there may be one or more other elements in between. In contrast, when an element is described as being "directly on" another element, "directly connected to" another element, "directly bonded to" another element, "directly on" another element, or "directly covering" another element, there may be no other elements in between.

[0075] As used herein, the term “and / or” includes any one of the relevant items listed and any combination of any two or more items.

[0076] Although terms such as “first,” “second,” and “third” may be used herein to describe individual components, assemblies, regions, layers, or parts, these components, assemblies, regions, layers, or parts are not limited by these terms. Rather, these terms are used only to distinguish one component, assembly, region, layer, or part from another. Therefore, without departing from the teachings of the examples described herein, the first component, assembly, region, layer, or part referred to as the second component, assembly, region, layer, or part may also be referred to as the second component, assembly, region, layer, or part.

[0077] For ease of description, spatial relation terms such as “above,” “upper,” “below,” and “lower” are used herein to describe the relationship between one element and another, as shown in the accompanying drawings. Such spatial relation terms are intended to include not only the orientation depicted in the drawings but also different orientations of the device during use or operation. For example, if the device in the drawings is flipped, an element described as being “above” or “upper” relative to another element will subsequently be “below” or “lower” relative to that other element. Therefore, the term “above” includes both “above” and “below” orientations depending on the spatial orientation of the device. The device may also be positioned in other ways (e.g., rotated 90 degrees or in other orientations), and the spatial relation terms used herein will be interpreted accordingly.

[0078] The terminology used herein is for the purpose of describing various examples only and is not intended to limit this disclosure. Unless the context clearly indicates otherwise, the singular form is also intended to include the plural form. The terms “comprising,” “including,” and “having” enumerate the stated features, quantities, operations, components, elements, and / or combinations thereof, but do not exclude the presence or addition of one or more other features, quantities, operations, components, elements, and / or combinations thereof.

[0079] Variations in the shapes shown in the accompanying drawings may occur due to manufacturing techniques and / or tolerances. Therefore, the examples described herein are not limited to the specific shapes shown in the accompanying drawings, but include changes in shape that may occur during manufacturing.

[0080] The features of the examples described herein can be combined in various ways that will be apparent upon understanding the disclosure of this application. Furthermore, although the examples described herein have a wide variety of constructions, other constructions are possible, as will be apparent upon understanding the disclosure of this application.

[0081] According to one aspect of this application, a control method for a gas static pressure spindle is provided, such as... Figures 2 to 4As shown, the gas static pressure spindle includes a shaft assembly, a first radial bearing 13, a second radial bearing 3, a first thrust bearing 18, and a second thrust bearing 4. The shaft assembly includes a spindle 1, a motor rotor 9, a locking nut 10, a grinding wheel 26, and a grinding wheel rod 27. The spindle 1 includes a main body 1a and an extension 1b, with the extension 1b protruding from the main body 1a. The first thrust bearing 18 and the second thrust bearing 4 are both disposed on the main body 1a, located on opposite sides of the extension 1b. The main body 1a is connected to the grinding wheel 26 via the grinding wheel rod 27. The grinding wheel 26 is used to contact the workpiece. The first radial bearing 13 is disposed at the end of the main body 1a opposite to the grinding wheel 26. The second radial bearing 3 is disposed on the main body 1a, located between the first radial bearing 13 and the extension 1b. Figure 10 As shown, the first radial bearing 13 is divided into four first radial sections 13a, which are arranged circumferentially around the main body 1a. Two first radial sections 13a are opposite each other in a predetermined direction. Each first radial section 13a has multiple first radial grooves 13b, which are spaced apart along the axial direction. The first radial grooves 13b penetrate the first radial section 13a along the radial direction of the spindle, and the multiple first radial grooves 13b are interconnected, allowing gas to be supplied to the first radial grooves 13b, thereby applying force to the spindle 1. The second radial bearing 3 is divided into four second radial sections, which are arranged circumferentially around the main body 1a. Two second radial sections are opposite each other in a predetermined direction. Each second radial section has multiple second radial grooves, which are spaced apart along the axial direction. The second radial grooves penetrate the second radial section along the radial direction of the spindle, and the multiple second radial grooves are interconnected, allowing gas to be supplied to the second radial grooves, thereby applying force to the spindle 1. Figure 11 As shown, the first thrust bearing 18 is divided into four first thrust portions 18a, which are arranged around the circumference of the main body 1a. Multiple first thrust grooves 18b are formed on each first thrust portion 18a, penetrating the first thrust portion 18a along the axial direction. The multiple first thrust grooves 18b are spaced apart along the radial direction of the spindle 1 and are interconnected. The second thrust bearing 4 is divided into four second thrust portions, which are arranged around the circumference of the main body 1a. Multiple second thrust grooves are formed on each second thrust portion, penetrating the second thrust portion along the axial direction. The multiple second thrust grooves are spaced apart along the radial direction of the spindle 1 and are interconnected.

[0082] like Figure 2 , Figure 3 , Figure 4 , Figure 7 , Figure 8 and Figure 9As shown, the air static pressure spindle also includes a spindle seat 2 and a motor housing 5. Part of the main body 1a is located inside the spindle seat 2, and the second radial bearing 3 is located inside the spindle seat 2. The motor housing 5 is located at the upper end of the spindle seat 2. A cooling water jacket 6 is installed inside the motor housing 5. Two sealing rings 7 are respectively provided at both ends of the cooling water jacket 6. The motor stator 8 is installed inside the cooling water jacket 6. The motor rotor 9 is installed on the main body 1a. The motor stator 8 and the motor rotor 9 are used as a set. A locking nut 10 is provided at the upper end of the motor rotor 9. A stator fixing ring 11 is provided at the upper end of the cooling water jacket 6. A bearing sleeve 12 is provided at the upper end of the motor housing 5. A first radial bearing 13 is installed inside the bearing sleeve 12. An aviation socket 14 and a rear end cover 15 are provided at the upper end of the bearing sleeve 12. An adjusting shim 16 is provided at the lower end of the spindle seat 2. A front thrust end cover 17 is provided at the lower end of the adjusting shim 16. The first thrust bearing 18 and the second thrust bearing 4 are located inside the front thrust end cover 17. A front end cover 19 is provided at the lower end of the front thrust end cover 17. The spindle housing 2 and bearing sleeve 12 are provided with plugs 23 around them, the adjusting shim 16, the motor housing 5 and the rear end cover 15 are provided with silencers 24 around them, and the motor housing 5 is provided with a coolant connector 25.

[0083] Optionally, the motor rotor 9 is interference-fitted with the spindle 1. The shaft assembly may or may not be equipped with a locking nut 10 as required. When the shaft assembly includes the spindle 1, motor rotor 9, locking nut 10, grinding wheel 26 and grinding wheel rod 27, the weight G of the shaft assembly is equal to the sum of the weights of the spindle 1, motor rotor 9, locking nut 10, grinding wheel 26 and grinding wheel rod 27.

[0084] Optionally, in the first embodiment of the gas static pressure spindle, as Figure 2 , Figure 3 and Figure 4 As shown, the front thrust end cap 17 is provided with four first connectors 20, which are respectively connected to four first thrust portions 18a. The main shaft seat 2 is provided with four second connectors 21, and the corresponding second radial portion and second thrust portion are connected to the same second connector 21. The bearing sleeve 12 is provided with four third connectors 22, which are connected to four first radial portions 13a. Each of the first connectors 20, second connectors 21, and third connectors 22 is provided with an air inlet. The air inlet can be an electro-proportional valve, which is connected to an air source to control the air inlet pressure.

[0085] In the second embodiment of the gas static pressure spindle, as Figure 7 , Figure 8 and Figure 9As shown, the front thrust end cap 17 is provided with four first connectors 20, which are respectively connected to four first thrust portions 18a. The main shaft seat 2 is provided with eight second connectors 21, four of which are respectively connected to four second radial portions, and the other four are respectively connected to four second thrust portions. The bearing sleeve 12 is provided with four third connectors 22, which are respectively connected to four first radial portions 13a. Each of the first connectors 20, second connectors 21, and third connectors 22 is provided with an air inlet, which can be an electro-proportional valve connected to an air source to control the air inlet pressure.

[0086] like Figure 1 As shown, the control method for the gas static pressure spindle includes:

[0087] The control methods for gas static pressure spindles include:

[0088] S100, Determine that the shaft assembly is subjected to a first grinding force F extending along the axial direction of the mandrel 1. g and a second grinding force F extending radially along the mandrel 1 n ;

[0089] S200, based on the second grinding force F n When the shaft assembly is balanced, the first radial force F applied by the first radial bearing to the spindle is determined. r1 The second radial force F applied by the second radial bearing to the spindle r2 ;

[0090] S300, based on the first grinding force F g When the shaft assembly is balanced, the first axial force F applied by the first thrust bearing to the spindle is determined. a1 The second axial force F applied by the second thrust bearing to the spindle a2 ;

[0091] S400, based on the first radial force F r1 The intake pressure of the four first radial sections 13a is controlled based on the second radial force F. r2 Control the intake pressure of the four second radial sections;

[0092] S500, based on the first axial force F a1 Second axial force F a2 Control the intake pressure of the four first thrust sections 18a and the intake pressure of the four second thrust sections.

[0093] When controlling the gas static pressure spindle using the control method of this application, by controlling the air intake pressure of the four first radial portions 13a and the four second radial portions, the first radial bearing 13 and the second radial bearing 3 can apply a first radial force and a second radial force to the main body 1a. The first radial force and the second radial force can balance the second grinding force on the shaft assembly in the radial direction. By controlling the air intake pressure of the four first thrust portions 18a and the four second thrust portions, the first thrust bearing 18 and the second thrust bearing 4 can apply a first axial force and a second axial force to the extension 1b. The first axial force and the second axial force can balance the first grinding force on the shaft assembly in the axial direction. Thus, by controlling the air intake pressure of the first radial portions 13a, the second radial portions, the first thrust portions 18a and the second thrust portions, the second grinding force and the first grinding force on the shaft assembly can be balanced, thereby avoiding the deviation between the contact position of the grinding wheel 26 and the expected contact position caused by the deformation of the spindle 1, and ensuring the machining accuracy of the workpiece.

[0094] It should be noted that during the operation of the gas static pressure spindle, the position where the grinding wheel 26 contacts the workpiece is the contact position, and the first grinding force F applied by the workpiece to the entire spindle assembly is the contact force. g The second grinding force F applied by the workpiece to the entire shaft assembly extends along the axial direction toward the side where the first radial bearing 13 is located. n The second grinding force F points from the contact position along the radial direction of the grinding wheel 26 towards the axis of the grinding wheel 26. n Extend along the predetermined direction.

[0095] Preferably, two of the four first thrust portions 18a that require intake pressure adjustment can be selected as the first adjusting portion and the second adjusting portion. The first adjusting portion and the second adjusting portion are opposite to each other in the radial direction of the main body 1a. The inner surface of the first adjusting portion is the first adjusting surface, and the inner surface of the second adjusting portion is the second adjusting surface. The direction from the center of the first adjusting surface to the center of the second adjusting surface is a predetermined direction. To facilitate the adjustment of the intake pressure, the edge of the grinding wheel 26 near the first adjusting portion in the predetermined direction is selected as the contact position between the grinding wheel 26 and the workpiece. The installation position of the first radial bearing 13 needs to satisfy the direction of the force applied by the first radial portion 13a to the main body 1a and the second grinding force F. n The direction is the same, and the installation position of the second radial bearing 3 needs to satisfy that the direction of the force applied by the second radial part to the main body 1a is the same as that of the second grinding force F. n The direction is opposite to that of the second grinding force F. n The first radial portion 13a, which has the same direction as the first force-applying portion, is defined as the first force-applying portion, and the direction of the force applied to the main body portion 1a is the same as that of the second grinding force F. nThe second radial part, which is opposite in direction, is defined as the second force-applying part.

[0096] In step S100, the second grinding force F n and the first grinding force F g satisfy:

[0097] F n =k c ba p v w / v s ;

[0098] F g =k a a p f p ;

[0099] Where, k c Here, b is the specific grinding energy coefficient, and a is the grinding width. p For the grinding depth, v w v is the feed rate of the workpiece. s For a grinding wheel with a rotational speed of 26, K a It is the axial force coefficient of grinding wheel 26, f a This represents the axial feed rate of the workpiece.

[0100] Optionally, the specific grinding energy coefficient k c and axial force coefficient K a This can be obtained through grinding experiments. Specifically, multiple test groups are selected, and in any one test group, the grinding width b and grinding depth a are... p Workpiece feed rate v w Grinding wheel 26 rotation speed v s and the axial feed rate f of the workpiece a At least one of the five elements differs from the other experimental groups. Grinding experiments are conducted on different experimental groups to obtain the second grinding force F for each group using a force sensor. n and the first grinding force F g Based on the second grinding force F n and the first grinding force F g It is possible to obtain the specific grinding energy coefficient k corresponding to different experimental groups. c The axial force coefficient K of grinding wheel 26 a This allows for the establishment of a database. For different grinding widths b and grinding depths a... p Workpiece feed rate v w Grinding wheel 26 rotation speed v s and the axial feed rate f of the workpiece a The corresponding specific grinding energy coefficient k can be retrieved from the database. c and axial force coefficient K a .

[0101] In step S200, the first radial force F r1 Second radial force F r2 satisfy:

[0102] F n ×L1=F r1 ×L2;

[0103] F r2 =F n +F r1 ;

[0104] When the grinding wheel is in contact with the workpiece and the shaft assembly is balanced, the first radial force F r1 Second radial force F r2 Second grinding force F n The relative positions are as follows Figure 6 As shown, L1 is the distance between the grinding wheel 26 and the second radial bearing 3 in the axial direction, and L2 is the distance between the second radial bearing 3 and the first radial bearing 13 in the axial direction. Based on the above two formulas, the first radial force F can be calculated. r1 Second radial force F r2 For example, in F n =200N, L1=560mm, L2=350mm, F r1 =320N, F r2 =520N.

[0105] It should be noted that the grinding wheel 26 includes a central plane perpendicular to the axial direction. The two portions of the grinding wheel 26 located on either side of the central plane have equal dimensions in the axial direction. The inner surface of the first radial portion 13a is a first radial curved surface. The direction of the force exerted by any first radial portion 13a on the main body 1a is from the midpoint of the first radial curved surface to the center of the first radial bearing 13. The inner surface of the second radial portion has a second radial curved surface. The direction of the force exerted by any second radial portion on the main body 1a is from the midpoint of the second radial curved surface to the center of the second radial bearing 3. The distance L1 between the contact position and the second radial bearing 3 in the axial direction can be approximately equal to the distance between the midpoint of the central plane and the midpoint of the first radial curved surface in the axial direction. The distance L2 between the second radial bearing 3 and the first radial bearing 13 in the axial direction is equal to the distance between the midpoint of the central plane and the midpoint of the second radial curved surface in the axial direction.

[0106] In step S300, the first axial force F a1 Second axial force F a2 satisfy:

[0107] F a1 ×W1=F a2 ×W2;

[0108] Fg =F a1 +F a2 ;

[0109] When the grinding wheel 26 is in contact with the workpiece and the shaft assembly is balanced, the first axial force F a1 Second axial force F a2 and the first grinding force F a2 The relative positions are as follows Figure 5 As shown, W1 is the distance between the contact position and the first adjusting part, and W2 is the distance between the contact position and the second adjusting part. Based on the above two formulas, the first axial force F can be calculated. a1 Second axial force F a2 For example, in F g =100N, W1=12mm, W2=138mm, F a1 =92N,F a2 =8N.

[0110] It should be noted that a first dividing surface and a second dividing surface are defined, both of which are curved surfaces perpendicular to the radial direction. The first dividing surface divides the first adjusting part into two parts, with the two parts having equal dimensions in the radial direction. The second dividing surface divides the second adjusting part into two parts, with the two parts having equal dimensions in the radial direction. The distance W1 between the contact position and the first adjusting part in a predetermined direction is equal to the distance between the center of the first dividing surface and the contact position in the predetermined direction. The distance W2 between the contact position and the second adjusting part is equal to the distance between the center of the second dividing surface and the contact position in the predetermined direction.

[0111] Furthermore, when the grinding wheel 26 is not in contact with the workpiece, the air intake pressure of any first thrust section 18a is equal to the first preset pressure P'1, and the first preset force F' applied by any first thrust section 18a to the extension section 1b is equal to the first preset pressure P'1. a1 =C w1 P'1A a1 The first preset pressure P'1 can be selected based on the model of the gas static pressure spindle itself. a1 C is the first load-bearing area. w1 The first bearing capacity factor, R a1 The outer diameter of the first thrust section 18a is r. a1 C is the inner diameter of the first thrust section 18a. w1 Its specific value can be determined through experiments or numerical simulations, and is usually around 0.3. The intake pressure of any second thrust section is equal to the second preset pressure P'2, and the second preset force F' applied by any second thrust section to the extension 1b is... a2 =C w2 P'2A a2 , where Cw2 As the second bearing capacity factor, A a2 The first load-bearing area, R a2 The outer diameter of the first thrust section 18a is r. a2 C is the inner diameter of the first thrust section 18a. w2 Its specific value can be determined through experiments or numerical simulations, and it is usually around 0.3. The resultant force of the force exerted on the extension 1b by the first thrust part 18a and the second thrust part corresponding to the first thrust part 18a is one-quarter of the weight G of the shaft assembly.

[0112] When the grinding wheel 26 is not in contact with the workpiece, the air intake pressure of any first radial portion 13a is equal to the third preset pressure P'3, and the first initial force F' applied to the main body 1a of any first radial portion 13a is equal to the first initial force F'. r1 =C w3 P'3A r1 , where A r1 The first equivalent area, r r1 h1 is the inner diameter of the first radial portion 13a, h1 is the height of the first radial portion 13a, and C is the inner diameter of the first radial portion 13a. w3 This is the third bearing capacity factor. C w3 Its specific value can be determined through experiments or numerical simulations, and it is usually around 0.3. The resultant force of the forces exerted by the four first radial sections 13a on the main body 1a is equal to 0. The intake pressure of any second radial section is equal to the fourth preset pressure P'4, and the second initial force F' exerted by any second radial section on the main body 1a is equal to 0. r2 =C w4 P'4A r2 , where C w4 As the fourth bearing capacity factor, A r2 This is the second equivalent area. r r2 h2 is the inner diameter of the first radial portion 13a, h2 is the height of the first radial portion 13a, and C is the inner diameter of the first radial portion 13a. w4 This is the fourth bearing capacity factor. C w4 Its specific value can be determined through experiments or numerical simulations, and it is usually around 0.3. The resultant force of the forces exerted by the four second radial parts on the main body 1a is equal to 0.

[0113] Step S400 includes:

[0114] S410. Determine the direction of the force applied to the main body 1a when the grinding wheel 26 is in contact with the workpiece and the shaft assembly is balanced, and the direction of the force applied to the main body 1a is the same as that of the second grinding force F. n The first bearing force F applied to the main body 1a by the first radial portion 13a in the same direction r1 And the direction of the force applied to the main body 1a and the second grinding force F nThe second radial portion with opposite direction to the main body portion 1a has a second bearing capacity F” r2 First load-bearing capacity F” r1 Satisfying F” r1 =F r1 +F' r1 Second bearing capacity F” r2 Satisfying F” r2 =F r2 +F' r2 ;

[0115] In step S410, based on the above-mentioned F r1 F' r1 F r2 and F' r2 Able to obtain the first bearing capacity P” r1 Second bearing capacity F” r2 .

[0116] S420: Control the intake pressure of the first force application section to increase to the third intake pressure P3, and control the intake pressure of the other three first radial sections to maintain the third preset pressure P'3;

[0117] In step S420, F” r1 =C w3 P3A r1 , where A r1 The first equivalent area, r r1 h1 is the inner diameter of the first radial portion 13a, h1 is the height of the first radial portion 13a, and C is the inner diameter of the first radial portion 13a. w3 C is the third bearing capacity factor. w3 =0.3. Based on the above formula, the third intake pressure P3 can be obtained.

[0118] S430, based on the second bearing capacity F” r2 The intake pressure of the second force application section is increased to the fourth intake pressure P4, and the intake pressure of the other three second radial sections is kept at the fourth preset pressure P'4.

[0119] In step S430, F” r2 =C w4 P4A r2 , where A r2 This is the second equivalent area. r r2 h2 is the inner diameter of the first radial portion 13a, h2 is the height of the first radial portion 13a, and C is the inner diameter of the first radial portion 13a. w4 C is the fourth bearing capacity factor. w4 =0.3. Based on the above formula, the fourth intake pressure p4 can be obtained.

[0120] When using the gas static pressure spindle in the first embodiment, step S500 includes:

[0121] Step S500 includes:

[0122] S510. Determine the first support force F applied by the first adjustment unit when the grinding wheel is in contact with the workpiece and the shaft assembly is balanced. a1 The second support force F applied by the second adjustment unit a2 First supporting force F” a1 Satisfying F” a1 =F” a1 -F a1 The second support force satisfies F” a2 =F' a1 +F a0 -F a2 ;

[0123] In step S510, based on the above-mentioned F a1 F' a1 F a2 and F' a2 Able to obtain the first support force F” a1 Second support force F” a2 .

[0124] S520, based on the first support force F” a1 The intake pressure in the first regulating section is reduced to the first intake pressure P1, based on the second support force F. a2 The intake pressure of the second adjustment section is reduced to the second intake pressure P2, while the intake pressure of the other two first thrust sections 18a is maintained at the first preset pressure P'1; the intake pressure of the third force application section is maintained at the fourth intake pressure P4, and the intake pressure of the other three second thrust sections is maintained at the second preset pressure P'2.

[0125] In step S520, the first intake pressure P1 and the second intake pressure P2 satisfy the following:

[0126] F” a1 =C w1 P1A a1 ;

[0127] F” a2 =C w1 P2A a1 ;

[0128] First preset force F' a1 Second preset force F' a2 satisfy:

[0129] F' a1 =C w1 P'1A a1 ;

[0130] F' a2 =C w2 P'2A a2 ;

[0131] Adjustment force F a0 Satisfy: F a0 =C w2 (P4-P'4)A a2 ;

[0132] Among them, A a1 The first load-bearing area, R a1 The outer diameter of the first thrust section 18a is r. a1 C is the inner diameter of the first thrust section 18a. w1 The first bearing capacity factor;

[0133] A a2 For the second bearing area, R a2 r is the outer diameter of the second thrust section. a2 C is the inner diameter of the second thrust section. w2 This is the second bearing capacity factor.

[0134] Based on the above formula, the first intake pressure P1 of the first adjustment section and the second intake pressure P2 of the second adjustment section can be obtained.

[0135] When using the gas static pressure spindle in the second embodiment, step S500 includes:

[0136] S510. Determine the first support force F applied by the first adjustment unit when the grinding wheel 26 is in contact with the workpiece and the shaft assembly is balanced. a1 The second support force F applied by the second adjustment unit a2 First supporting force F” a1 Satisfying F” a1 =F' a1 -F a1 The second support force satisfies F” a2 =F' a1 -F a2 ;

[0137] In step S510, based on the above-mentioned F a1 F' a1 F a2 and F' a2 Able to obtain the first support force F” a1 Second support force F” a2 .

[0138] S520, based on the first support force F” a1The intake pressure in the first regulating section is reduced to the first intake pressure P1, based on the second support force F. a2 The intake pressure of the second regulating section is reduced to the second intake pressure P2, while the intake pressure of the other two first thrust sections 18a is maintained at the first preset pressure P'1; the intake pressure of the four second thrust sections is maintained at the second preset pressure P'2.

[0139] In step S520, the first supporting force F” a1 =C w1 P1A a1 Second support force F” a2 =C w1 P2A a1 , where A a1 The first load-bearing area, R a1 The outer diameter of the first thrust section 18a is r. a1 C is the inner diameter of the first thrust section 18a. w1 C is the first bearing capacity factor. w1 =0.3. Based on the above formula, the first intake pressure P1 of the first adjustment section and the second intake pressure P2 of the second adjustment section can be obtained.

[0140] The gas static pressure spindle control method of this application can balance the second grinding force and the first grinding force on the spindle assembly by controlling the air intake pressure of the first radial part 13a, the second radial part, the first thrust part 18a and the second thrust part, thereby avoiding the deviation of the contact position between the grinding wheel 26 and the workpiece from the expected contact position caused by the offset of the spindle 1, and ensuring the machining accuracy of the workpiece.

[0141] According to another aspect of this application, a gas static pressure spindle is provided. The gas static pressure spindle is used to execute the control method of the gas static pressure spindle described above. The structure of the gas static pressure spindle is described in the control method above and will not be repeated here.

[0142] Finally, it should be noted that the above embodiments are only used to illustrate the technical solutions of the present invention, and not to limit them; although the present invention has been described in detail with reference to the foregoing embodiments, those skilled in the art should understand that modifications can still be made to the technical solutions described in the foregoing embodiments, or equivalent substitutions can be made to some or all of the technical features; and these modifications or substitutions do not cause the essence of the corresponding technical solutions to deviate from the scope of the technical solutions of the embodiments of the present invention.

Claims

1. A control method for a gas static pressure spindle, wherein the control method for the gas static pressure spindle is used to control the inlet pressure of the gas static pressure spindle, characterized in that, The gas static pressure spindle includes a shaft assembly, a first radial bearing, a second radial bearing, a first thrust bearing, and a second thrust bearing. The shaft assembly includes a mandrel, a grinding wheel rod, and a grinding wheel. The mandrel includes an extension and a main body. The extension protrudes from the outer side wall of the main body. The main body is connected to the grinding wheel via the grinding wheel rod. The first thrust bearing and the second thrust bearing are both disposed on the main body, located on opposite sides of the extension. One side of the grinding wheel in a predetermined direction is used to contact the workpiece. The first radial bearing is disposed at the end of the main body opposite to the grinding wheel, and the second radial bearing is disposed on the main body. The bearing is located between the first radial bearing and the grinding wheel rod. The first radial bearing is divided into four first radial portions, which are arranged around the circumference of the main body. Two of the first radial portions are opposite to each other in the predetermined direction. The second radial bearing is divided into four second radial portions, which are arranged around the circumference of the main body. Two of the second radial portions are opposite to each other in the predetermined direction. The first thrust bearing is divided into four first thrust portions, which are arranged around the circumference of the main body. The second thrust bearing is divided into four second thrust portions, which are arranged around the circumference of the main body. The control method for the gas static pressure spindle includes: S100, Determine that the shaft assembly is subjected to a first grinding force extending along the axial direction of the mandrel. and a second grinding force extending radially along the mandrel ; S200, based on the second grinding force When the shaft assembly is balanced, the first radial force applied by the first radial bearing to the mandrel is determined. and the second radial force applied to the mandrel by the second radial bearing ; S300, based on the first grinding force When the shaft assembly is balanced, the first axial force applied by the first thrust bearing to the spindle is determined. and the second axial force applied to the mandrel by the second thrust bearing ; S400, based on the first radial force Controlling the intake pressure of the four first radial sections, based on the second radial force Control the intake pressure of the four second radial sections; S500, based on the first axial force Second axial force Control the air intake pressure of the four first thrust sections and the air intake pressure of the four second thrust sections; Two of the four first thrust sections that require intake pressure adjustment are defined as the first adjustment section and the second adjustment section. First axial force and the second axial force satisfy: ； ； The position where the grinding wheel contacts the workpiece is called the contact position. The distance between the contact position and the first adjustment part. The distance between the contact position and the second adjustment part; When the grinding wheel is not in contact with the workpiece, the air intake pressure of any of the first radial portions is a third preset pressure. Any of the first radial portions applies a first initial force to the main body portion. The intake pressure of any of the second radial sections is the fourth preset pressure. Any of the second radial portions applies a second initial force to the main body portion. The direction of the force applied to the main body is the same as the direction of the second grinding force. The first radial portion, having the same direction as the second grinding force, is defined as the first force-applying portion, and the direction of the force applied to the main body portion is the same as that of the second grinding force. The second radial portion, with the opposite direction, is defined as the second force-applying portion; Step S400 includes: S410. Determine the first bearing force applied by the first force-applying part to the main body when the grinding wheel is in contact with the workpiece and the shaft assembly is balanced. and the second bearing force of the second force-applying part on the main body. The first bearing capacity and the second bearing capacity satisfy: , ; S420, Based on the first bearing capacity Control the intake pressure of the first force-applying part to increase to the third intake pressure. The intake pressure of the other three first radial sections is controlled to maintain the third preset pressure. ; S430, based on the second bearing capacity Control the intake pressure of the second force application unit to increase to the fourth intake pressure. The intake pressure of the other three second radial sections is controlled to maintain the fourth preset pressure. ; The four second radial portions correspond to the four second thrust portions respectively. The corresponding second radial portions and second thrust portions are connected to the same air inlet to make the air inlet pressure of the corresponding second radial portions and second thrust portions equal. The second thrust portion corresponding to the second force-applying portion is defined as the third force-applying portion. When the grinding wheel portion is not in contact with the workpiece and the shaft assembly is balanced, the air inlet pressure of the third force-applying portion is equal to the fourth preset pressure. When the grinding wheel is in contact with the workpiece and the shaft assembly is balanced, the air intake pressure of the third force application part is equal to the fourth air intake pressure. The intake pressure of the third force-applying part is determined by the fourth preset pressure. Increase from the fourth intake pressure At that time, the change in force applied by the third force-applying part is the adjustment force. ; When the grinding wheel is not in contact with the workpiece, the air intake pressure of any of the first thrust portions is equal to the first preset pressure. Any of the first thrust portions applies a first preset force to the mandrel. The intake pressure of any second thrust section is equal to the second preset pressure. Any of the second thrust portions applies a second preset force to the mandrel. The first preset force applied by the first thrust portion The second preset force applied by the second thrust member corresponding to the first thrust member. The resultant force is one-quarter of the weight G of the shaft assembly; Step S500 includes: S510. Determine the first supporting force applied by the first adjusting part when the grinding wheel is in contact with the workpiece and the shaft assembly is balanced. and the second support force applied by the second adjustment part The first support force satisfy The second support force satisfies ; S520, based on the first support force The intake pressure of the first regulating section is controlled to decrease to the first intake pressure. Based on the second support force The intake pressure in the second regulating section is reduced to the second intake pressure. The intake pressure of the other two first thrust sections remains at a first preset pressure. The intake pressure of the third force-applying part maintains the fourth intake pressure. The intake pressure of the other three second thrust sections remains at the second preset pressure. .

2. The control method for a gas static pressure spindle according to claim 1, characterized in that, First radial force and the second radial force satisfy: ； ； in, The distance between the grinding wheel and the second radial bearing in the axial direction is [missing information]. The distance between the second radial bearing and the first radial bearing in the axial direction is denoted as .

3. The control method for a gas static pressure spindle according to claim 1, characterized in that, The four second radial portions and the four second thrust portions are respectively connected to different air intake components; When the grinding wheel is not in contact with the workpiece, the air intake pressure of any of the first thrust portions is equal to the first preset pressure. Any of the first thrust portions applies a first preset force to the mandrel. The intake pressure of any second thrust section is equal to the second preset pressure. Any of the second thrust portions applies a second preset force to the mandrel. The first preset force applied by the first thrust portion The second preset force applied by the second thrust member corresponding to the first thrust member. The resultant force is one-quarter of the weight G of the shaft assembly; Step S500 includes: S510. Determine the first supporting force applied by the first adjusting part when the grinding wheel is in contact with the workpiece and the shaft assembly is balanced. and the second support force applied by the second adjustment part The first support force satisfy The second support force satisfies ; S520, based on the first support force The intake pressure of the first regulating section is controlled to decrease to the first intake pressure. Based on the second support force The intake pressure in the second regulating section is reduced to the second intake pressure. The intake pressure of the other two first thrust sections remains at a first preset pressure. The intake pressure of the four second thrust sections is maintained at the second preset pressure. .

4. The control method for a gas static pressure spindle according to claim 1, characterized in that, First bearing capacity and the second bearing capacity satisfy: ； ； in, The first equivalent area, , The inner diameter of the first radial portion, The height of the first radial portion, The third bearing capacity factor; This is the second equivalent area. , The inner diameter of the second radial portion. The height of the second radial section. It is the fourth bearing capacity factor.

5. The control method for a gas static pressure spindle according to claim 1, characterized in that, First intake pressure and the second intake pressure satisfy: ； ； First preset force and the second preset force satisfy: ； ； The adjusting force satisfy: ; in, The first load-bearing area, , The outer diameter of the first thrust section, The inner diameter of the first thrust section, The first bearing capacity factor; For the second bearing area, , The outer diameter of the second thrust section. The inner diameter of the second thrust section. This is the second bearing capacity factor.

6. The control method for a gas static pressure spindle according to claim 3, characterized in that, First intake pressure and the second intake pressure satisfy: ； ； First preset force and the second preset force satisfy: ； ； in, The first load-bearing area, , The outer diameter of the first thrust section, The inner diameter of the first thrust section, The first bearing capacity factor; For the second bearing area, , The outer diameter of the second thrust section. The inner diameter of the second thrust section. This is the second bearing capacity factor.

7. A gas hydrostatic spindle, characterized in that, The gas static pressure spindle is used to execute the control method of the gas static pressure spindle according to any one of claims 1-6.

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