Device and method for measuring position of turning point of revolving body based on single sensor slippage

Abstract

The invention relates to the technical field of fluid mechanics testing, and particularly discloses a rotating body turning point position measuring device and method based on single sensor slippage, the measuring device comprises a rotating body model, a transmission mechanism and a pulsating pressure sensor, the rotating body model is a cylindrical shell, the side wall of the rotating body model is provided with a chute extending obliquely, and the pulsating pressure sensor is arranged in the chute. The included angle between the length direction of the chute and the axial direction of the revolving body model is an acute angle; the transmission mechanism comprises a synchronous belt and two synchronous wheels, and a local belt body of the synchronous belt is embedded in the sliding groove. The pulsating pressure sensor is fixedly arranged on the synchronous belt, and the measuring end of the pulsating pressure sensor penetrates through the synchronous belt and makes contact with fluid outside the rotary body model. When the synchronous belt runs, the pulsating pressure sensor moves along the sliding groove. The measurement method comprises rough measurement and accurate measurement. According to the invention, a single sensor is adopted, accurate measurement of a transition point position is realized in a mode of moving the sensor, and the problems of large interference and complex installation and adjustment of a sensor array in the prior art are improved.

Description

Technical Field

[0001] This application relates to the field of fluid dynamics testing technology, and in particular to a device and method for measuring the position of the transition point of a rotating body based on single-sensor slip, which is applicable to the measurement of the position of the fluid boundary layer transition point on the surface of a large-scale rotating body in fields such as shipbuilding and pipeline engineering. Background Technology

[0002] Boundary layer transition is a crucial process in which a fluid transitions from laminar to turbulent flow. The location of the transition point directly affects the fluid's drag characteristics, thus holding significant importance in fields such as ship design, aerospace vehicle development, and hydraulic engineering. To reduce fluid resistance and improve equipment performance, it is necessary to expand the laminar flow region through transition control, and accurately identifying the transition point is a prerequisite for achieving transition control.

[0003] Currently, fluid transition discrimination methods are mainly divided into two categories: numerical simulation and experimental measurement. Numerical simulation methods, such as direct numerical simulation, rely on theoretical models, but suffer from high computational costs and potential deviations from actual conditions. Experimental measurement, while intuitive and reliable, has various limitations due to the constraints of its application scenarios; especially in water media, where the surface temperature and deformable medium measurements used in air media are no longer applicable because underwater vehicles are insensitive to changes in parameters such as temperature.

[0004] For measuring the transition location in an aqueous medium, patent CN114166468B proposes a method for measuring the boundary layer transition location in an aqueous medium. This method uses dynamically calibrated pulsating pressure sensors, arranges a sensor array along the flow direction on the surface of a constrained or self-propelled model, and simultaneously tests the time-domain signal of pulsating pressure at different incoming flow velocities. The transition region is determined using the root mean square and spectral characteristics of the pulsating pressure, and the transition location is determined by calculating the turbulence intensity or wall shear stress coefficient through instantaneous velocity field measurements. However, this method relies on a sensor array, and the arrangement of multiple sensors may interfere with the flow field. Installation and adjustment are complex and costly, especially on large-scale models where wiring and arrangement are difficult. Furthermore, due to the dispersed arrangement of multiple sensors, the sensor density may affect the accuracy of transition region identification. Summary of the Invention

[0005] To address the issues of high interference and complex installation and adjustment of sensor arrays in existing technologies, this application provides a device and method for measuring the position of the turning point of a rotating body based on single-sensor sliding.

[0006] The rotating body transition point position measuring device based on single-sensor sliding provided in this application adopts the following technical solution: A device for measuring the position of a rotating body's transition point based on single-sensor sliding, comprising: The rotating body model is a cylindrical shell; the side wall of the rotating body model has an inclined extending groove, and the angle between the length direction of the groove and the axis of the rotating body model is an acute angle; The transmission mechanism, disposed within the rotating body model, includes two synchronous pulleys and a synchronous belt tensioned and covering the two synchronous pulleys, and also includes a driving component for driving one of the synchronous pulleys to rotate; a portion of the synchronous belt is embedded in the groove. A pulsating pressure sensor is fixedly mounted on the synchronous belt. The measuring end of the pulsating pressure sensor passes through the synchronous belt and is in contact with the fluid outside the rotating body model. When the synchronous belt is running, the pulsating pressure sensor moves along the slide.

[0007] The synchronous belt is driven to rotate by a drive component, which in turn drives the synchronous pulley. Since a portion of the synchronous belt is embedded in a groove, the pulsating pressure sensor can move along the groove, allowing for continuous movement of the sensor along the curved surface of the rotating model. This enables pulsating pressure measurements to be taken at different locations on the model's surface to determine transition zones. By setting the groove at a certain angle to the axis of the rotating model, spatial interference between measurement positions is avoided.

[0008] Compared to traditional multi-sensor arrays, this application uses single-sensor sliding, which reduces the complexity of the device and also reduces the interference of the sensor on the flow field. At the same time, by utilizing the mobility of the sensor, the measurement position can be continuously adjusted, resulting in higher measurement accuracy than traditional sensor arrays.

[0009] Furthermore, the synchronizing pulley is a conical pulley, and the two synchronizing pulleys have opposite conical orientations; the synchronizing belt is an irregularly shaped synchronizing belt with a twisted shape.

[0010] Two conical pulleys facing opposite directions can twist the timing belt at a specific angle to form an irregular shape, so that the local shape of the timing belt can be adapted to the curved surfaces of the inner and outer sides of the rotating body model, so as to drive the pulsating pressure sensor to move along the slide along the timing belt.

[0011] Furthermore, the thickness of the synchronous belt is the same as the thickness of the sidewall of the rotating body model. A limiting member is provided inside the rotating body model to make the inner side of the local part of the synchronous belt flush with the inner surface of the rotating body model, and the outer side of the local part of the synchronous belt flush with the outer surface of the rotating body model.

[0012] Furthermore, the limiting member is a pressure plate fixedly disposed inside the rotating body model. The pressure plate is a twisted elongated strip, with one side of it attached to the inner wall of the rotating body model. The pressure plate has a long groove along its own length direction, and the long groove corresponds to the position of the sliding groove. The pulsating pressure sensor is slidably disposed in the long groove.

[0013] The contour of one side of the pressure plate is adapted to the contour of the inner wall of the rotating body model. The pressure plate confines the synchronous belt in the slide groove, and the inner and outer sides of the local belt body are flush with the inner and outer surfaces of the rotating body model, respectively. In this way, when the synchronous belt is running, the pulsating pressure sensor fixed on the synchronous belt can move along the slide groove to measure the pulsating pressure at different positions on the curved surface of the rotating body model.

[0014] Furthermore, the outer width of the pressure plate is greater than the width of the slide groove, and the width of the long groove is greater than the diameter of the pulsating pressure sensor.

[0015] The outer width of the pressure plate is greater than the width of the slide groove, which makes it easier to fix the pressure plate to the inner side of the rotating body model; the width of the long groove is greater than the diameter of the pulsating pressure sensor, which makes it easier for the pulsating pressure sensor to slide along the long groove.

[0016] Furthermore, the measuring end of the pulsating pressure sensor is flush with the outer surface of the rotating body model.

[0017] The measuring end of the pulsating pressure sensor does not protrude from the outer surface of the rotating body model, thereby avoiding interference of the flow field by the pulsating pressure sensor.

[0018] Furthermore, it also includes a drive device for driving the rotating model to rotate about its own axis.

[0019] By driving the rotating model to rotate around its own axis through a drive device, and cooperating with the synchronous belt, the pulsating pressure sensor can move along a preset trajectory to achieve the measurement of pulsating pressure at any position in space.

[0020] Furthermore, it also includes a support device for adjusting the pose of the rotating model.

[0021] The tail of the rotating body model is fixed to the support device. The position of the rotating body model in the flow field is adjusted by the support device to realize the measurement of the turning point position of the rotating body model under different positions.

[0022] This application also provides a method for measuring the position of a rotating body's transition point based on single-sensor sliding, employing a device for measuring the position of a rotating body's transition point based on single-sensor sliding, and the method includes the following steps: Coarse measurement: Based on the numerical simulation estimate, multiple measurement points are evenly selected along the length of the chute; drive the synchronous belt to move the pulsating pressure sensor along the chute to each measurement point in sequence and collect the pulsating pressure signal; identify the characteristic frequency of the transition zone based on the pulsating pressure signal and determine the initial transition interval. Precision measurement: Multiple measurement points are evenly selected within the initial transition interval. The synchronous belt is driven to move, so that the pulsating pressure sensor moves sequentially along the slide to each measurement point and collects the pulsating pressure signal. The characteristic frequency of the transition interval is identified based on the pulsating pressure signal, and the transition interval is determined. The precision measurement step is repeated multiple times, and the length of the transition interval in the multiple precision measurements is gradually reduced until the length of the transition interval is no greater than the target accuracy, thus obtaining the position of the transition point.

[0023] Furthermore, it also includes the following steps: adjusting the rotating body model to different poses and different rotation speeds, and measuring the position of the turning point.

[0024] In summary, this application includes at least one of the following beneficial technical effects: 1. By setting a conical synchronous wheel, an irregularly shaped synchronous belt, and a pressure plate for limiting, the pulsating pressure sensor can move along the curved surface of the rotating model. This changes the relatively fixed constraint between the sensor and the measured model, and replaces the traditional multi-sensor array with a single-sensor sliding method, reducing the complexity of the device and reducing the interference of the sensor on the flow field. 2. By utilizing the mobility of the sensor, the measurement position can be continuously adjusted, resulting in higher measurement accuracy and precision than traditional sensor arrays; 3. By setting the slide groove at a certain angle to the axis of the rotating model, spatial interference between the front and back of the measurement position is avoided; 4. By driving the rotating model around its own axis through the drive device, and cooperating with the synchronous belt, the pulsating pressure sensor can move along a preset trajectory to realize the measurement of pulsating pressure at any position in space. 5. By adjusting the sensor's pose using a support device, measurements of any pose and speed within a selected space can be achieved; 6. The device provided in this application is scalable. For other measuring tools that need to be embedded in the surface of the model being measured, the mobility requirements can be met after adjusting the mating dimensions. In addition, this application uses a motor-driven synchronous belt, which can adjust the arrangement of any measuring points, facilitate the setting of motion laws, and make it easy to realize automated measurement. Attached Figure Description

[0025] Figure 1 This is a schematic diagram of the overall structure of a rotating body turning point position measuring device based on single-sensor sliding according to an embodiment of this application; Figure 2 This is a schematic diagram of the assembly of the rotating body model of this application in a water tunnel; Figure 3 This embodiment of the application is mainly used to illustrate a partial cross-sectional view of the interior of the rotating body model; Figure 4This embodiment of the application is mainly used to illustrate a partial schematic diagram of the transmission mechanism; Figure 5 This is a flowchart of a method for measuring the position of a rotating body's turning point based on single-sensor sliding, according to an embodiment of this application. Figure 6 This is a schematic diagram of the measurement scheme of the pulsating pressure sensor at different positions in the embodiments of this application, wherein (a) is a schematic diagram of the pulsating pressure sensor sliding along the slide groove, (b) is a schematic diagram of the position of the pulsating pressure sensor in the coarse measurement stage, and (c) is a schematic diagram of the position of the pulsating pressure sensor in the fine measurement stage. Figure 7 This is a schematic diagram used to illustrate the dimensional parameters of the rotating body model in the embodiments of this application; Figure 8 These are schematic diagrams of rotating body models in different poses in the embodiments of this application, wherein (a) is a schematic diagram when the axis of the rotating body model is parallel to the flow direction, and (b) is a schematic diagram when the angle between the axis of the rotating body model and the flow direction is φ1.

[0026] Reference numerals: 1. Rotating model; 2. Slide groove; 3. Synchronous pulley; 4. Synchronous belt; 5. Mounting base; 6. Drive motor; 7. Pulsating pressure sensor; 8. Annular flange; 9. Pressure plate; 10. Long groove; 11. Data acquisition card; 12. Support device; 13. Water tunnel frame. Detailed Implementation

[0027] The following is in conjunction with the appendix Figure 1-8 This application will be described in further detail.

[0028] This application discloses a device for measuring the position of the turning point of a rotating body based on single-sensor sliding. (Refer to...) Figure 1 The rotating body transition point position measurement device based on single-sensor sliding includes a rotating body model 1, a transmission mechanism, and a pulsating pressure sensor 7.

[0029] Reference Figure 1 The rotating model 1 is a cylindrical shell made of aluminum alloy, with an outer diameter of 300 mm and an inner diameter of 280 mm. In this embodiment, the rotating model 1 has a hemispherical head and a conical tail to simulate the shape of an underwater vehicle. The sidewall of the rotating model 1 has an inclined, extending groove 2, which is 25 mm wide. The angle between the length direction of the groove 2 and the axis of the rotating model 1 is acute; the preferred angle range is 20°-40°, and in this embodiment, the angle is 30°.

[0030] Reference Figure 2 and Figure 3The transmission mechanism includes two synchronous pulleys 3 and a synchronous belt 4 that is tensioned and covers the two synchronous pulleys 3; a mounting base 5 is fixedly installed inside the rotating body model 1, and a transmission motor 6 is installed on the mounting base 5. The output end of the transmission motor 6 is coaxially fixed to one of the synchronous pulleys 3 and is used to drive the synchronous pulley 3 to rotate.

[0031] Furthermore, refer to Figure 4 The timing pulley 3 is a conical pulley with a small diameter of 80mm and a large diameter of 112mm. The two timing pulleys 3 have opposite conical orientations, causing the timing belt 4 to twist into an irregular shape. The timing belt 4 can be made of rubber as the main body with built-in steel wire as the skeleton to reduce deformation during use. To prevent the timing belt 4 from slipping off the small diameter end of the timing pulley 3, an annular flange 8 is fixedly provided at the small diameter end of the timing pulley 3.

[0032] Reference Figure 1 and Figure 3 The width of the synchronous belt 4 is the same as the width of the groove 2, and a portion of the synchronous belt 4 is embedded in the groove 2. The thickness of the synchronous belt 4 is the same as the thickness of the side wall of the rotating body model 1, both being 10mm. A pressure plate 9 is fixedly installed on the inner side of the rotating body model 1. The pressure plate 9 is a twisted elongated strip, with one side attached to the inner side wall of the rotating body model 1. The pressure plate 9 presses the portion of the synchronous belt 4 into the groove 2, making the inner side of the portion of the synchronous belt 4 flush with the inner surface of the rotating body model 1, and the outer side of the portion of the synchronous belt 4 flush with the outer surface of the rotating body model 1.

[0033] Reference Figure 1 , Figure 3 and Figure 4 The pulsating pressure sensor 7 (using the Kistler 6503c0a model) is fixedly mounted on the synchronous belt 4. One end (measuring end) of the pulsating pressure sensor 7 passes through the synchronous belt 4 and is in contact with the fluid outside the rotating body model 1. The other end of the pulsating pressure sensor 7 is connected to the acquisition card 11 through a wire. The acquisition card 11 is used to record measurement data.

[0034] Reference Figure 1 , Figure 3 and Figure 4 The pressure plate 9 has a long groove 10 along its length, which corresponds to the position of the sliding groove 2. The long groove 10 provides a sliding track for the pulsating pressure sensor 7. When the synchronous belt 4 is running, the measuring end of the pulsating pressure sensor 7 moves along the sliding groove 2 with the synchronous belt 4, thereby causing the measuring end of the pulsating pressure sensor 7 to move continuously along the outer surface of the rotating body model 1.

[0035] The two side walls of the chute 2 are coated with polytetrafluoroethylene (PTFE), and the two sides of the synchronous belt 4 can also be coated with PTFE to reduce the sliding friction between the synchronous belt 4 and the side walls of the chute 2.

[0036] To facilitate the fixing of the pressure plate 9 to the inner side of the rotating body model 1 by means of bonding, welding, etc., the outer width of the pressure plate 9 is greater than the width of the slide groove 2. To facilitate the sliding of the pulsating pressure sensor 7 along the long groove 10, the width of the long groove 10 is slightly greater than the diameter of the pulsating pressure sensor 7; at the same time, the width of the long groove 10 is less than the width of the synchronous belt 4, so that the pressure plate 9 can confine the synchronous belt 4 in the slide groove 2.

[0037] Reference Figure 1 and Figure 3 The measuring end of the pulsating pressure sensor 7 does not protrude from the outer surface of the rotating body model 1, or the height of the measuring end of the pulsating pressure sensor 7 protruding from the outer surface of the rotating body model 1 is not greater than 0.1 mm, so that the measuring end of the pulsating pressure sensor 7 is as flush as possible with the outer surface of the rotating body model 1, thereby reducing the interference of the pulsating pressure sensor 7 on the flow field.

[0038] During measurement, the rotating model 1 was installed in the water tunnel, as referenced. Figure 2 An adjustable support device 12 is installed on the water tunnel frame 13. The support device 12 is connected to the tail of the rotating body model 1 and is used to adjust the position and posture of the rotating body model 1. A tail drive motor (not shown in the figure) is also installed on the water tunnel frame 13 to drive the support device 12 to rotate the rotating body model 1 around its own axis.

[0039] The aforementioned single-sensor sliding-based rotating body transition point position measuring device is used to measure the rotating body transition point position, referring to... Figure 5 The measurement method includes the following steps: Step 1, Sensor position calibration: like Figure 6 As shown in (a), the synchronous belt is driven by a drive motor to move the pulsating pressure sensor along the slide. Based on the geometric parameters of the rotating body model and the operating parameters (speed, etc.) of the drive motor, the theoretical position of the pulsating pressure sensor is calculated. Then, the actual position of the pulsating pressure sensor is measured using a ruler. The two are compared to obtain the relationship between the actual position and the theoretical position, thus completing the position calibration of the pulsating pressure sensor.

[0040] Step 2, rough measurement: Based on the numerical simulation estimates, three measurement points are evenly selected along the length of the groove within a range of 30%-70% of the length of the rotating body model. Figure 6 (b) Positions 1-1, 1-3, 1-5, or positions 1-2, 1-4, 1-6; The synchronous belt driven by the drive motor moves the pulsating pressure sensor sequentially along the slide to each measurement point and collects the pulsating pressure signal. The pulsating pressure signal is analyzed by Fourier transform to identify the characteristic frequency of the transition zone (when the laminar flow transitions to turbulent flow, the energy proportion of the high-frequency component jumps) and determine the initial transition interval. For example, the interval between position 1-1 and 1-3 is the approximate range of the location of the transition point.

[0041] Step 3, Precision Measurement: The initial transition interval (between positions 1-1 and 1-3) is divided into 3 segments, and the measurement points are as follows: Figure 6 (c) Positions 2-1, 2-2, 2-3, and 2-4 are shown. The synchronous belt is driven by a transmission motor to move the pulsating pressure sensor along the slide to each measurement point in sequence and collect the pulsating pressure signal. The pulsating pressure signal is analyzed by Fourier transform to identify the characteristic frequency of the transition zone and determine the transition interval.

[0042] The precision measurement process is repeated multiple times, each time reducing the transition interval to 1 / 3 of the previous one (or a selected ratio) until the length of the transition interval is no greater than the target accuracy, thus determining the location of the transition point; the final transition point is defined as the position where the proportion of high-frequency energy first exceeds 40%.

[0043] This application employs a phased measurement method to control measurement accuracy. By modifying the measurement step size, the measurement interval is reduced to 1 / n of the previous step each time, thus satisfying any required accuracy while controlling the speed.

[0044] Furthermore, by adjusting the position and orientation of the rotating model in the flow field using a support device, and driving the rotating model around its own axis via a tail drive motor, while simultaneously coordinating with the synchronous belt operation, the pulsating pressure sensor can move along a preset trajectory to achieve the measurement of pulsating pressure at any location in space, as detailed below: like Figure 7 As shown, the diameter of the middle part of the synchronous pulley is R1, the rotational angular velocity of the drive motor is ω1; the angle between the slide and the axis of the rotating body model is φ, the distance between the center of the slide and the plane at the tail end of the rotating body model is L; the radius of the rotating body model is R, and the rotational angular velocity of the drive motor at the tail end of the rotating body model is ω2.

[0045] In one embodiment, such as Figure 8 As shown in (a), the axis of the rotating model is parallel to the flow direction. The tail drive motor drives the rotating model to rotate about its own axis. The spatial position of the rotating model can be regarded as fixed in the flow field (ignoring the influence of small motions in the flow field). At this time, the measurement trajectory of the pulsating pressure sensor satisfies the following relationship: X=Rcosθ Y=Rsinθ Z = Rtanφsinθ + L In the formula, θ is a motion-related parameter, θ=ω2t, where t is time. When the spatial trajectory of the pulsating pressure sensor measurement point is set to a straight line (e.g., parallel to the z-axis), the speed between the drive motor and the tail drive motor needs to satisfy ω2=(ω1R1sinφ) / R.

[0046] In one embodiment, such as Figure 8 As shown in (b), the rotating model rotates through an angle φ1 in the YOZ plane, that is, the angle between the axis of the rotating model and the flow direction is φ1, which is considered as the equivalent self-propelled model having an angle of attack φ1. The rotating model is fixed in position in the flow field, and the measurement trajectory of the pulsating pressure sensor satisfies the following relationship: X=Rcosθ Y=Rsinθcosφ1-(Rtanφsinθ+L)sinφ1 Z=Rsinθsinφ1+(Rtanφsinθ+L)cosφ1 In the formula, θ is a motion-related parameter, θ=ω2t, where t is time. When the spatial trajectory of the pulsating pressure sensor measurement point is set to a straight line / curve (measured along the surface of the rotating body model), by controlling the set angles φ and φ1, and simultaneously controlling the movement of the drive motor and the tail drive motor, the parameter measurement at any spatial position can be achieved.

[0047] The above are all preferred embodiments of this application, and are not intended to limit the scope of protection of this application. Therefore, all equivalent changes made in accordance with the structure, shape and principle of this application should be covered within the scope of protection of this application.

Claims

1. A single-sensor slip based measurement device for a rotary body transition point position, characterized by: include: The model of the rotating body is a cylindrical shell. The sidewall of the rotating body model is provided with an inclined extending groove, and the angle between the length direction of the groove and the axis of the rotating body model is an acute angle. The transmission mechanism, disposed within the rotating body model, includes two synchronous pulleys and a synchronous belt tensioned and covering the two synchronous pulleys, and also includes a driving component for driving one of the synchronous pulleys to rotate; a portion of the synchronous belt is embedded in the groove. A pulsating pressure sensor is fixedly mounted on the synchronous belt. The measuring end of the pulsating pressure sensor passes through the synchronous belt and is in contact with the fluid outside the rotating body model. When the synchronous belt is running, the pulsating pressure sensor moves along the slide.

2. A single-sensor slip based measurement device for rotary body transition point position according to claim 1, characterized in that: The timing pulley is a conical pulley, and the two timing pulleys have opposite conical orientations; the timing belt is an irregularly shaped timing belt with a twisted shape.

3. A single-sensor slip based measurement device for rotary body transition point position according to claim 2, characterized in that: The thickness of the synchronous belt is the same as the thickness of the sidewall of the rotating body model. A limiting component is provided inside the rotating body model to make the inner side of the local part of the synchronous belt flush with the inner surface of the rotating body model, and the outer side of the local part of the synchronous belt flush with the outer surface of the rotating body model.

4. A single-sensor slip based measurement device for rotary body transition point position according to claim 3, characterized in that: The limiting component is a pressure plate fixedly installed inside the rotating body model. The pressure plate is a twisted elongated strip, with one side of it attached to the inner wall of the rotating body model. The pressure plate has a long groove along its own length direction, and the long groove corresponds to the position of the sliding groove. The pulsating pressure sensor is slidably installed in the long groove.

5. The rotating body transition point position measuring device based on single-sensor sliding according to claim 4, characterized in that: The outer width of the pressure plate is greater than the width of the slide groove, and the width of the long groove is greater than the diameter of the pulsating pressure sensor.

6. The rotating body transition point position measuring device based on single-sensor sliding according to claim 4, characterized in that: The measuring end of the pulsating pressure sensor is flush with the outer surface of the rotating model.

7. A single-sensor slip based gyro transition point position measurement device according to claim 1, characterized in that: It also includes a drive device for driving the rotating model to rotate about its own axis.

8. A single-sensor slip based gyro transition point position measurement device according to claim 7, characterized in that: It also includes a support device for adjusting the pose of the rotating model.

9. A method for measuring the position of a rotating body's transition point based on single-sensor sliding, employing the rotating body's transition point position measuring device based on single-sensor sliding as described in any one of claims 1-8, characterized in that: Includes the following steps: Rough measurement: Based on the numerical simulation estimate, multiple measurement points are evenly selected along the length of the chute; The synchronous belt is driven to move, causing the pulsating pressure sensor to move sequentially along the slide to each measuring point and collect the pulsating pressure signal. The characteristic frequency of the transition zone is identified based on the pulsating pressure signal, and the initial transition interval is determined. Precision measurement: Multiple measurement points are evenly selected within the initial transition interval. The synchronous belt is driven to move, so that the pulsating pressure sensor moves sequentially along the slide to each measurement point and collects the pulsating pressure signal. The characteristic frequency of the transition interval is identified based on the pulsating pressure signal, and the transition interval is determined. The precision measurement step is repeated multiple times, and the length of the transition interval in the multiple precision measurements is gradually reduced until the length of the transition interval is no greater than the target accuracy, thus obtaining the position of the transition point.

10. A single-sensor slip-based measurement method for the position of the transition point of a body of revolution according to claim 9, characterized in that: It also includes the following steps: The rotating model was adjusted to different positions and rotation speeds, and the position of the turning point was measured.

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