A horizontal type elastic foil aerodynamic thrust bearing performance detection device

By designing a horizontal elastic foil aerodynamic thrust bearing performance testing device, the problem of low measurement accuracy in the existing technology has been solved, and high-precision testing of the static and dynamic performance of the bearing has been achieved. It can simulate the response process of the bearing under impact disturbance.

CN115165360BActive Publication Date: 2025-11-11QINGHANG AEROSPACE (BEIJING) TECH CO LTD
View PDF 1 Cites 0 Cited by

Patent Information

Application Number
CN202210902932.X
Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
Filing Date
2022-07-29
Publication Date
2025-11-11
Estimated Expiration
2042-07-29

AI Technical Summary

Technical Problem

In the existing technology, there is limited research on testing devices for the static and dynamic performance of elastic foil aerodynamic thrust bearings, and the measurement accuracy is low.

Method used

A horizontal elastic foil aerodynamic thrust bearing performance testing device was designed, including a power unit, a testing unit, and a loading unit. It can simulate the bearing response process under different loading forces and lifting speeds, and uses sensor components for accurate measurement.

Benefits of technology

It achieves high-precision testing of the static and dynamic performance of elastic foil aerodynamic thrust bearings, and can simulate and measure the bearing's response process under impact disturbances. The measurement parameters are abundant and easy to integrate.

✦ Generated by Eureka AI based on patent content.

Smart Images

  • Figure CN115165360B_ABST
    Figure CN115165360B_ABST
Patent Text Reader

Abstract

This application provides a horizontal elastic foil pneumatic thrust bearing performance testing device, belonging to the field of bearing testing technology. It includes a power unit, a testing unit, and a loading unit. The power unit includes an electric spindle and a power shaft. The output end of the power shaft is connected to a thrust plate. A measuring ring is provided on the outer circumference of the thrust plate, and a sensor assembly is provided on the end face of the measuring ring. The testing unit includes a test shaft and a foil mounting plate. The foil mounting plate is mounted on one end of the test shaft, parallel to the end face of the thrust plate. Torque bars are symmetrically connected to the circumferential edge of the foil mounting plate, and torque measuring components are connected to the torque bars. The other end of the test shaft is connected to a rotating bearing pad. The loading unit includes a thrust rod and a lead screw stepper motor. One end of the thrust rod contacts the center of the rotating bearing pad, and the other end of the thrust rod is connected to a thrust sensor, which is fixed on the output shaft of the lead screw stepper motor. This application improves measurement accuracy.
Need to check novelty before this filing date? Find Prior Art

Description

Technical Field

[0001] This application relates to the field of bearing testing technology, and in particular to a horizontal elastic foil pneumatic thrust bearing performance testing device. Background Technology

[0002] Elastic foil pneumatic thrust bearings are foil bearing structures, formed by multiple metal foils within the bearing housing. They utilize ambient gas as a lubricant and foils as elastic support elements. Main types include cantilever, wound, corrugated foil, and external wedge types. One end of the foil in the thrust bearing is embedded in a foil mounting plate, while the other end freely overlaps with adjacent foils, creating multiple wedge-shaped gaps between the mounting plate and the thrust plate. When the two plates rotate relative to each other at high speed, a load-bearing air film is generated between them. Currently, there is limited research on testing devices for the static and dynamic performance of elastic foil pneumatic thrust bearings, and existing devices suffer from low measurement accuracy. Summary of the Invention

[0003] In view of this, this application provides a horizontal elastic foil pneumatic thrust bearing performance testing device, which is specifically used for testing the static and dynamic performance of elastic foil pneumatic thrust bearings; the loading force is adjustable, the buoyancy speed is adjustable, and it can simulate and test the response process of the thrust bearing after being subjected to impact disturbance.

[0004] This application provides a horizontal elastic foil aerodynamic thrust bearing performance testing device, including a base and a power unit, a testing unit, and a loading unit disposed on the base.

[0005] The power unit includes an electric spindle and a power shaft connected to each other. The speed output end of the power shaft is connected to a thrust plate. A fixed measuring ring is provided on the outer periphery of the thrust plate. The end face of the thrust plate is parallel to the end face of the measuring ring. A sensor assembly is provided on the end face of the measuring ring.

[0006] The test section includes a test shaft and a foil mounting plate. The foil mounting plate is installed at one end of the test shaft. The end face of the foil mounting plate is parallel to and opposite to the end face of the thrust plate. Torque bars are symmetrically connected to the circumferential edge of the foil mounting plate. Torque bars are in contact with and associated with a torque measuring component. A rotating bearing pad is connected to the other end of the test shaft. The two ends of the test shaft are supported and lubricated by a radial hydrostatic bearing.

[0007] The loading unit includes a push rod and a lead screw stepper motor. One end of the push rod is in contact with the center of the rotating bearing pad, and the other end of the push rod is connected to a thrust sensor. The thrust sensor is fixed on the output shaft of the lead screw stepper motor.

[0008] According to a specific implementation of an embodiment of this application, the torque measuring component includes a fixed frame and a U-shaped pivot pin that contacts the torque rod. The torque rod is located within the opening of the U-shaped pivot pin. A connecting rod is vertically connected to the U-shaped pivot pin, and the U-shaped pivot pin is rotatable around its own axis. One end of the connecting rod is connected to a torque sensor, and the end of the torque sensor away from the connecting rod is connected to the bottom of the fixed frame. The other end of the connecting rod is connected to a counterweight assembly, and the counterweight assembly is connected to the fixed frame.

[0009] According to a specific implementation of an embodiment of this application, the counterweight assembly includes a counterweight rope connected to the other end of the connecting rod, and a counterweight block is connected to the end of the counterweight rope away from the connecting rod through a counterweight guide wheel bracket, and the counterweight guide wheel bracket is disposed on the top of the fixed frame.

[0010] According to one specific implementation of this application, one end of the connecting rod is connected to the torque sensor via an adjusting sleeve.

[0011] According to a specific implementation of an embodiment of this application, the power unit further includes an oil-lubricated bearing assembly, the power shaft is supported and lubricated and cooled by the oil-lubricated bearing assembly, and the measuring ring is fixedly connected to the oil-lubricated bearing assembly by a measuring ring bracket.

[0012] According to a specific implementation of an embodiment of this application, the loading part further includes an air flotation sleeve, and the thrust rod passes through the air flotation sleeve and is connected to the thrust sensor.

[0013] According to one specific implementation of the present application, a rolling element bearing is installed between the rotating bearing pad and the other end of the test shaft.

[0014] According to a specific implementation of an embodiment of this application, the sensor assembly on the end face of the measuring ring includes a displacement sensor, a temperature sensor, and a speed sensor.

[0015] According to one specific implementation of this application, the torsion bar is threadedly connected to the circumferential edge of the foil mounting plate.

[0016] According to a specific implementation of an embodiment of this application, the mounting base includes a marble platform and a guide rail disposed on the marble platform. The power unit, the testing unit, and the loading unit are all mounted on the guide rail via locking sliders. The locking sliders drive the power unit, the testing unit, and the loading unit to slide or lock on the guide rail.

[0017] Beneficial effects

[0018] The horizontal elastic foil pneumatic thrust bearing performance testing device in this application embodiment can be used for static and dynamic performance testing of elastic foil pneumatic thrust bearings; the loading force is adjustable, the buoyancy speed is adjustable, and it can simulate and test the response process of the thrust bearing after being subjected to impact disturbance; it has high measurement accuracy, a wide variety of measured parameters, and the test data is easy to integrate and refine. Attached Figure Description

[0019] To more clearly illustrate the technical solutions of the embodiments of this application, the drawings used in the embodiments will be briefly introduced below. Obviously, the drawings described below are only some embodiments of this application. For those skilled in the art, other drawings can be obtained based on these drawings without creative effort.

[0020] Figure 1 This is a cross-sectional view of a horizontal elastic foil aerodynamic thrust bearing performance testing device according to an embodiment of the present invention;

[0021] Figure 2 A perspective view of a horizontal elastic foil aerodynamic thrust bearing performance testing device according to an embodiment of the present invention;

[0022] Figure 3 This is a perspective view of the power unit according to an embodiment of the present invention;

[0023] Figure 4 This is a perspective view of the test section according to an embodiment of the present invention;

[0024] Figure 5 This is a perspective view of the loading portion according to an embodiment of the present invention;

[0025] Figure 6 This is a schematic diagram of a torque measuring assembly according to an embodiment of the present invention.

[0026] In the diagram: 1. Electric spindle; 2. Coupling; 3. Power shaft; 4. Oil-lubricated bearing assembly; 5. Measuring ring bracket; 6. Measuring ring; 7. Thrust plate; 8. Displacement sensor; 9. Temperature sensor; 10. Speed ​​sensor; 11. Foil mounting plate; 12. Test shaft; 13. Radial hydrostatic bearing; 14. Rotary bearing pad; 15. Thrust rod; 16. Air bearing sleeve; 17. Thrust sensor; 18. Lead screw stepper motor; 19. Torque measuring assembly; 1901. Torque sensor; 1902. Fixing frame; 1903. Adjusting sleeve; 1904. U-shaped pivot pin; 1905. Support frame; 1906. Counterweight guide wheel bracket; 1907. Counterweight rope; 1908. Connecting rod; 1909. Counterweight block; 20. Torque bar; 21. Locking slider; 22. Guide rail; 23. Marble platform. Detailed Implementation

[0027] The embodiments of this application will now be described in detail with reference to the accompanying drawings.

[0028] The following specific examples illustrate the implementation of this application. Those skilled in the art can easily understand other advantages and effects of this application from the content disclosed in this specification. Obviously, the described embodiments are only a part of the embodiments of this application, and not all of them. This application can also be implemented or applied through other different specific embodiments, and the details in this specification can also be modified or changed based on different viewpoints and applications without departing from the spirit of this application. It should be noted that, in the absence of conflict, the following embodiments and features in the embodiments can be combined with each other. Based on the embodiments in this application, all other embodiments obtained by those skilled in the art without creative effort are within the scope of protection of this application.

[0029] It should be noted that various aspects of embodiments within the scope of the appended claims are described below. It will be apparent that the aspects described herein can be embodied in a wide variety of forms, and any particular structure and / or function described herein is merely illustrative. Based on this application, those skilled in the art will understand that one aspect described herein can be implemented independently of any other aspect, and two or more of these aspects can be combined in various ways. For example, any number of aspects set forth herein can be used to implement the device and / or practice the method. Additionally, this device and / or method can be implemented using structures and / or functionalities other than one or more of the aspects set forth herein.

[0030] It should also be noted that the illustrations provided in the following embodiments are only schematic representations of the basic concept of this application. The drawings only show the components related to this application and are not drawn according to the actual number, shape and size of the components in the actual implementation. In the actual implementation, the form, quantity and proportion of each component can be arbitrarily changed, and the layout of the components may also be more complex.

[0031] Furthermore, specific details are provided in the following description to facilitate a thorough understanding of the examples. However, those skilled in the art will understand that the described aspects can be practiced without these specific details.

[0032] This application provides a horizontal elastic foil aerodynamic thrust bearing performance testing device, which is described below with reference to... Figures 1 to 6 Provide a detailed description.

[0033] The horizontal elastic foil aerodynamic thrust bearing performance testing device in this embodiment includes a base and a power unit, a testing unit, and a loading unit disposed on the base. The power unit is used to provide rotational power, the testing unit is used to test the performance of the aerodynamic thrust bearing, including testing the static stiffness of the bearing foil and testing the process of the foil mounting plate impacting, oscillating, and stabilizing under the applied gravity, and the loading unit is used to provide loading force to the testing unit.

[0034] Specifically, the structures of the power unit, testing unit, and loading unit are as follows: Figure 1 and Figure 2 The power unit includes an electric spindle 1 and a power shaft 3 connected to each other, as shown in the reference. Figure 3 The electric spindle 1 and the power shaft 3 are connected by a coupling 2. A thrust plate 7 is connected to the speed output end of the power shaft 3. The electric spindle 1 can drive the thrust plate 7 to rotate. A fixed measuring ring 6 is provided on the outer circumference of the thrust plate 7. The end face of the thrust plate 7 is parallel to the end face of the measuring ring 6. A sensor assembly is provided on the end face of the measuring ring 6. The measuring ring 6 and the thrust plate 7 are non-contact; the rotation of the thrust plate 7 is not affected by the measuring ring 6, and their movements do not interfere with each other.

[0035] For the specific structure of the testing section, please refer to Figure 4 The test shaft 12 and the foil mounting plate 11 are included. The foil mounting plate 11 is mounted on one end of the test shaft 12. The end face of the foil mounting plate 11 is parallel to the end face of the thrust plate 7. The foil mounting plate 11 is non-rotatable, while the thrust plate 7 is rotatable. The relative rotational speed between the two is generated by the rotation of the thrust plate 7, thereby conducting performance testing of the elastic foil aerodynamic thrust bearing. Torque bars 20 are symmetrically connected to the circumferential edge of the foil mounting plate 11, and torque measuring components 19 are connected to the torsion bars 20.

[0036] A rotating bearing pad 14 is connected to the other end of the test shaft 12. The two ends of the test shaft 12 are supported and lubricated by a radial hydrostatic bearing 13. The radial hydrostatic bearing 13 restricts the radial (up and down) movement and large tilting of the test shaft 12, allowing only horizontal back-and-forth movement. An external air source lubricates the test shaft 12 and the radial hydrostatic bearing 13, reducing friction when the test shaft 12 moves horizontally. During testing, the pneumatic thrust bearing will experience friction in the initial stage of air agitation, causing the foil mounting plate 11 to rotate slightly. The force of this slight rotation is converted into torque by the torsion bar 20, and the torque can be measured by the torque measuring component 19. Therefore, the torque on the foil mounting plate 11 can be dynamically detected in real time.

[0037] For the specific structure of the loading section, please refer to Figure 5It includes a push rod 15 and a lead screw stepper motor 18. One end of the push rod 15 is in contact with the center of the rotating bearing pad 14, and the other end of the push rod 15 is connected to a thrust sensor 17. The thrust sensor 17 is fixed on the output shaft of the lead screw stepper motor 18. When the lead screw stepper motor 18 rotates, it can drive the thrust sensor 17 to move, so that the loading force on the test shaft 12 is adjustable.

[0038] In actual operation, the thrust rod 15 and the thrust sensor 17 are mechanically connected to the lead screw stepper motor 18. Controlling the forward and reverse rotation of the lead screw stepper motor 18 pushes the thrust sensor 17 and the thrust rod 15 forward to tighten or backward to loosen the rotating bearing pad 14. The rotating bearing pad 14 transmits force through the test shaft 12, causing the foil mounting plate 11 and the thrust plate 7 to be pressed or loosened. The applied force can be read by the thrust sensor 17. Controlling the lead screw stepper motor 18 to rotate rapidly causes the thrust rod 15 to strike the rotating bearing pad 14, which can simulate the impact disturbance that the thrust bearing is subjected to during operation.

[0039] Specifically, the sensor assembly on the end face of the measuring ring 6 includes a displacement sensor 8, a temperature sensor 9, and a speed sensor 10, as shown in the reference. Figure 4 .

[0040] In this embodiment, the thrust plate 7 moves while the foil remains stationary. The electric spindle 1 drives the thrust plate 7, providing a relative rotational speed of 0 to 90,000 rpm between the thrust plate 7 and the foil mounting plate 11. The lifting speed is adjustable, generating a load-bearing air film between the thrust plate 7 and the foil mounting plate 11. During use, the sensor assembly installed on the measuring ring 6 measures the dynamic and static distance between the thrust plate 7 and the foil mounting plate 11, the air film airflow temperature, and the relative rotational speed.

[0041] Preferably, the displacement sensor 8 is an eddy current sensor, which is a non-contact sensor. There are 3 displacement sensors 8, evenly distributed around the circumference, which can measure the distance between the end face of the foil mounting plate 11 and the end face of the thrust plate 7, as well as the pitch angle.

[0042] In one embodiment, the torque measuring component 19 is described in further detail, referring to... Figure 4 and Figure 6The torque measuring assembly 19 includes a fixing frame 1902 and a U-shaped pivot pin 1904 that contacts the torque bar 20. For ease of testing, two torque bars 20 are provided, located on the circumferential edge of the horizontal axis of the foil mounting plate 11, i.e., symmetrically distributed on the left and right sides of the foil mounting plate 11, and the torque bars 20 extend radially outward along the foil mounting plate 11. The torque bars 20 extend into the opening of the U-shaped pivot pin 1904. Specifically, the U-shaped pivot pin 1904 is horizontally set, and its axis is perpendicular to the axis of the torque bar 20. The U-shaped pivot pin 1904 is vertically connected to a connecting rod 1908, i.e., the connecting rod 1908 is vertically set, and the U-shaped pivot pin 1904 can rotate around its own axis. One end of the connecting rod 1908 is connected to a torque sensor 1901, and the end of the torque sensor 1901 away from the connecting rod 1908 is connected to the bottom of the fixed frame 1902; the other end of the connecting rod 1908 passes through the support frame 1905 and is connected to a counterweight assembly, which is connected to the fixed frame 1902.

[0043] Furthermore, the counterweight assembly includes a counterweight rope 1907 connected to the other end of the connecting rod 1908. The end of the counterweight rope 1907 away from the connecting rod 1908 is connected to a counterweight block 1909 via a counterweight guide wheel bracket 1906. The counterweight guide wheel bracket 1906 is located on the top of the fixed frame 1902. Specifically, the counterweight guide wheel bracket 1906 is horizontally positioned on the top of the fixed frame 1902, with a guide wheel at each end, through which the counterweight rope 1907 is transmitted.

[0044] Furthermore, one end of the connecting rod 1908 is connected to the torque sensor 1901 via the adjusting sleeve 1903. By setting the adjusting sleeve 1903, the connecting rod 1908 can be made more stable, and the test results can be made more accurate.

[0045] In one embodiment, the power unit further includes an oil-lubricated bearing assembly 4, which is located in the middle region of the power shaft 3. The power shaft 3 is supported and lubricated by the oil-lubricated bearing assembly 4, and the measuring ring 6 is fixedly connected to the oil-lubricated bearing assembly 4 by the measuring ring bracket 5.

[0046] In another embodiment, the loading unit also includes an air-bearing sleeve 16. The thrust rod 15 passes through the air-bearing sleeve 16 and is connected to the thrust sensor 17. The air-bearing sleeve 16 provides support for the thrust rod 15. On the other hand, when the power shaft 3 generates thrust on the bearing, the test shaft 12 is air-bearing under the action of the radial hydrostatic bearing 13, and the thrust rod 15 also floats up under the action of the air-bearing sleeve 16. Because the air-bearing bearing is more flexible than the traditional bearing, the centering is good when the test shaft 12 and the thrust rod 15 are in contact, and the measurement results are more accurate.

[0047] Furthermore, a rolling bearing is installed between the rotating bearing pad 14 and the other end of the test shaft 12, which is grease-lubricated to reduce torque measurement error.

[0048] In one embodiment, refer to Figure 4 The torsion bar 20 is threaded to the circumferential edge of the foil mounting plate 11, allowing for easy disassembly and replacement.

[0049] To facilitate the adjustment of the various components in the performance testing device, the power unit, testing unit, and loading unit are designed to be movable. The mounting base includes a marble table 23 and a guide rail 22 mounted on the marble table 23. The power unit, testing unit, and loading unit are all mounted on the guide rail 22 via locking sliders 21. The locking sliders 21 drive the power unit, testing unit, and loading unit to slide or lock on the guide rail 22. Specifically, the electric spindle 1, the oil-lubricated bearing assembly 4, the radial hydrostatic bearing 13, and the lead screw stepper motor 18 can all be mounted on the guide rail 22 and the marble table 23 via the locking sliders 21.

[0050] When the horizontal elastic foil pneumatic thrust bearing performance testing device of this application is used to test the static stiffness of the bearing foil, the control screw stepper motor 18 pushes the foil mounting plate 11 to contact the thrust plate 7 when the electric spindle 1 is not started. At this time, the gravity loaded by the thrust sensor 17 is F, the bearing foil is compressed, and the displacement sensor 8 measures the compression amount x. Then the formula for calculating the static stiffness k of the bearing foil is: k=F / x.

[0051] The horizontal elastic foil pneumatic thrust bearing performance testing device of this application simulates and tests the response process of the thrust bearing under impact disturbance. It adjusts the distance between the foil mounting plate 11 and the thrust plate 7, starts the electric spindle 1 to the test speed, and controls the lead screw stepper motor 18 to make the foil mounting plate 11 impact the thrust plate 7. The thrust sensor 17, displacement sensor 8 and torque sensor 1901 measure the process of the foil mounting plate 11 impacting, oscillating and stabilizing under the corresponding applied gravity.

[0052] The testing device described in this application is specifically designed for testing the static and dynamic performance of elastic foil-type pneumatic thrust bearings. It features adjustable loading force and adjustable buoyancy speed, and can simulate and test the response process of the thrust bearing after being subjected to impact disturbances. It has a wide range of functions, high measurement accuracy, and is suitable for the entire product lifecycle of elastic foil-type pneumatic thrust bearings, including design, development, and quality testing.

[0053] The above description is merely a specific embodiment of this application, but the scope of protection of this application is not limited thereto. Any variations or substitutions that can be easily conceived by those skilled in the art within the technical scope disclosed in this application should be included within the scope of protection of this application. Therefore, the scope of protection of this application should be determined by the scope of the claims.

Claims

1. A horizontal elastic foil pneumatic thrust bearing performance testing device, characterized in that, Includes a base and a power unit, a testing unit, and a loading unit disposed on the base. The power unit includes an electric spindle and a power shaft connected to each other. The speed output end of the power shaft is connected to a thrust plate. A fixed measuring ring is provided on the outer periphery of the thrust plate. The end face of the thrust plate is parallel to the end face of the measuring ring. A sensor assembly is provided on the end face of the measuring ring. The sensor assembly on the end face of the measuring ring includes a displacement sensor, a temperature sensor, and a speed sensor. The test section includes a test shaft and a foil mounting plate. The foil mounting plate is installed at one end of the test shaft. The end face of the foil mounting plate is parallel to and opposite to the end face of the thrust plate. Torque bars are symmetrically connected to the circumferential edge of the foil mounting plate. Torque bars are in contact with and associated with a torque measuring component. A rotating bearing pad is connected to the other end of the test shaft. The two ends of the test shaft are supported and lubricated by a radial hydrostatic bearing. The loading unit includes a thrust rod and a lead screw stepper motor. One end of the thrust rod contacts the center of the rotating bearing pad, and the other end of the thrust rod is connected to a thrust sensor. The thrust sensor is fixed on the output shaft of the lead screw stepper motor. The loading unit also includes an air bearing sleeve, through which the thrust rod passes and connects to the thrust sensor. The torque measuring assembly includes a fixed frame and a U-shaped pivot pin that contacts the torque bar. The torque bar is located inside the opening of the U-shaped pivot pin. A connecting rod is vertically connected to the U-shaped pivot pin, which is rotatable around its own axis. A torque sensor is connected to one end of the connecting rod, and the end of the torque sensor away from the connecting rod is connected to the bottom of the fixed frame. A counterweight assembly is connected to the other end of the connecting rod and is connected to the fixed frame.

2. The horizontal elastic foil aerodynamic thrust bearing performance testing device according to claim 1, characterized in that, The counterweight assembly includes a counterweight rope connected to the other end of the connecting rod. The end of the counterweight rope away from the connecting rod is connected to a counterweight block via a counterweight guide wheel bracket, which is located on the top of the fixed frame.

3. The horizontal elastic foil aerodynamic thrust bearing performance testing device according to claim 1, characterized in that, One end of the connecting rod is connected to the torque sensor via an adjusting sleeve.

4. The horizontal elastic foil aerodynamic thrust bearing performance testing device according to claim 1, characterized in that, The power unit also includes an oil-lubricated bearing assembly, through which the power shaft is supported, lubricated, and cooled, and the measuring ring is fixedly connected to the oil-lubricated bearing assembly via a measuring ring bracket.

5. The horizontal elastic foil aerodynamic thrust bearing performance testing device according to claim 1, characterized in that, A rolling element bearing is installed between the rotating bearing pad and the other end of the test shaft.

6. The horizontal elastic foil aerodynamic thrust bearing performance testing device according to claim 1, characterized in that, The torsion bar is threaded to the circumferential edge of the foil mounting plate.

7. The horizontal elastic foil pneumatic thrust bearing performance testing device according to any one of claims 1-6, characterized in that, The base includes a marble platform and a guide rail disposed on the marble platform. The power unit, the testing unit, and the loading unit are all mounted on the guide rail via locking sliders. The locking sliders drive the power unit, the testing unit, and the loading unit to slide or lock on the guide rail.

Citation Information

Patent Citations

  • Bearing capacity calibration system for dynamic pressure thrust gas bearing

    CN114608744A