Method for determining optimal radial clearance of precise ball screw assembly

Abstract

The invention discloses a precise ball screw assembly optimal radial clearance determination method, which comprises the following steps: acquiring basic structure parameters and dynamic load data of a ball screw assembly in an assembly state, and constructing a radial load-clearance coupling response model; on the basis of the radial load-gap coupling model, instantaneous contact stiffness is obtained; extracting a gap sensitivity parameter; based on the gap sensitivity parameters, constructing a self-adaptive radial gap prediction model; using the adaptive radial clearance prediction model to obtain an optimal radial clearance prediction value; and adjusting the actual assembly clearance, and correcting the self-adaptive radial clearance prediction model according to the vibration response and the thermal drift feedback to realize dynamic matching of the assembly clearance and the operation characteristics. According to the method, the adaptive prediction model based on the dynamic load response is established, the optimal radial clearance can be dynamically predicted according to the actual operation state, and real-time adaptive optimization of the clearance is achieved.

Description

Technical Field

[0001] This invention relates to the technical field of ball screw assembly, and more particularly to a method for determining the optimal radial clearance in precision ball screw assembly. Background Technology

[0002] Precision ball screw assemblies are widely used in CNC machine tools, precision testing instruments, and high-end automated equipment. Their assembly accuracy directly affects the positioning accuracy, repeatability, and service life of the mechanical system. Traditional ball screw assembly methods mainly rely on manual experience or static tolerance design, typically achieving assembly requirements by controlling the nut preload and adjusting the clearance. However, in actual operation, ball screw assemblies are affected by various factors such as load variations, temperature rise, lubrication conditions, and manufacturing errors, causing their radial clearance to change during operation.

[0003] In existing technologies, although some studies use finite element analysis or static clearance optimization models for clearance design, these methods often ignore dynamic load response, vibration characteristics and thermal drift effects. This can lead to problems such as increased vibration, excessive or insufficient clearance, increased friction loss or even early wear in the actual working conditions of the assembled ball screw pair, thus affecting the long-term stability and accuracy of the mechanical system. Summary of the Invention

[0004] The purpose of this section is to outline some aspects of embodiments of the present invention and to briefly describe some preferred embodiments. Simplifications or omissions may be made in this section, as well as in the abstract and title of this application, to avoid obscuring the purpose of these documents; however, such simplifications or omissions should not be construed as limiting the scope of the invention.

[0005] To solve the above-mentioned technical problems, the present invention provides the following technical solution: In a first aspect, the present invention provides a method for determining the optimal radial clearance in a precision ball screw assembly, comprising: S1. Obtain the basic structural parameters and dynamic load data of the ball screw pair in the assembled state, and construct a radial load-clearance coupled response model. S2. Based on the radial load-gap coupling model, calculate the elastic deformation of the contact area between the ball and the nut under different load conditions to obtain the instantaneous contact stiffness; S3. Based on the instantaneous contact stiffness and load change trend, generate the dynamic response curve of the assembly state and extract the gap sensitivity parameter. S4. Based on the aforementioned clearance sensitivity parameters, and combined with the operating temperature rise, lubrication status, and preload change data of the ball screw pair, an adaptive radial clearance prediction model is constructed. S5. The adaptive radial clearance prediction model is used to predict the radial clearance under different operating conditions to obtain the optimal radial clearance prediction value. S6. Based on the predicted optimal radial clearance, adjust the actual assembly clearance and monitor the vibration response and thermal drift feedback after adjustment in real time. S7. Based on the vibration response and thermal drift feedback, the adaptive radial clearance prediction model is modified to achieve dynamic matching between assembly clearance and operating characteristics.

[0006] As a preferred embodiment of the method for determining the optimal radial clearance of a precision ball screw assembly according to the present invention, the radial load-clearance coupled response model is established based on the relationship between load and contact stiffness. The specific radial load-clearance coupled response model is as follows:

[0007] in, Radial load; This represents the elastic deformation at the contact point between the ball and the nut.

[0008] As a preferred embodiment of the method for determining the optimal radial clearance of a precision ball screw assembly according to the present invention, the extraction of the clearance sensitivity parameter specifically includes the following steps: S3.1 Based on the collected data, multidimensional dynamic response curves are obtained, including load-deformation curves, stiffness-temperature curves, and vibration-gap curves. S3.2. From multiple sets of dynamic curves, data from the steady-state phase are selected for second-order differential analysis to obtain the rate of change of stiffness with respect to clearance and temperature, as follows: ; in, This is the gap sensitivity parameter. For radial stiffness, For assembly clearance, For system temperature rise, This is the thermal sensitivity weighting coefficient, used to balance the degree of influence of thermal effects on stiffness; S3.3 Normalize the calculation results of gap sensitivity parameters under different loads.

[0009] As a preferred embodiment of the method for determining the optimal radial clearance of a precision ball screw assembly according to the present invention, the adaptive radial clearance prediction model has the following specific expression: ; in For optimal radial clearance, To normalize the softness, To normalize the gap sensitivity, To normalize the temperature difference, Lubrication index (0-1, 1 is the best). The preload force is a standardized value (0-1). Geometric health score (0-1, 0 indicates severe geometric abnormality). ... , These are the model coefficients.

[0010] As a preferred embodiment of the method for determining the optimal radial clearance of a precision ball screw assembly as described in this invention, the adaptive radial clearance prediction model triggers an abnormal process when the output optimal clearance exceeds the adjustable range of the assembly or the geometric health exceeds a preset threshold. The abnormal process includes prompting manual inspection and recording the current input features and historical data.

[0011] In a preferred embodiment of the method for determining the optimal radial clearance of a precision ball screw assembly as described in this invention, the monitoring of the vibration response is specifically as follows: Vibration amplitude is collected by an accelerometer, and a vibration threshold is preset. If the vibration amplitude exceeds the preset threshold, a repair rule is triggered. The thermal drift feedback monitoring is as follows: The temperature rise of the nut and raceway surfaces is monitored using an infrared sensor, and the effect of thermal expansion on the clearance is calculated by combining compliance and clearance sensitivity parameters, as detailed below: , in This represents the change in radial clearance. The coefficient of thermal expansion of the ball screw is... This is the adjusted actual assembly clearance. If the change exceeds the preset threshold, a repair rule will be triggered.

[0012] As a preferred embodiment of the method for determining the optimal radial clearance of a precision ball screw assembly as described in this invention, the repair rules are as follows: fine-tune the radial position of the nut, adjust the preload, adjust the load angle, and if convergence is still not achieved, repeat the correction operation until the vibration and clearance changes meet the requirements.

[0013] Secondly, the present invention provides a system for determining the optimal radial clearance of a precision ball screw assembly, comprising: The data acquisition module collects various physical data of the ball screw pair during assembly and operation. The adaptive prediction model module predicts the optimal radial clearance based on the collected operating status and sensitivity parameters. The assembly execution module performs actual assembly operations based on predicted values, achieving micron-level radial clearance adjustment. The real-time monitoring module monitors vibration response and thermal drift, and assesses whether the current clearance status meets dynamic performance requirements. The closed-loop correction module dynamically adjusts assembly parameters and performs minor corrections when deviations or anomalies are triggered. The data storage and feedback module records assembly process data, actual clearances, and vibration / thermal drift indices, providing training and update data for the adaptive prediction model. The user interaction and exception management module provides a manual intervention interface and exception prompts.

[0014] Thirdly, embodiments of the present invention provide a computer device, including a memory and a processor, wherein the memory stores a computer program, and the computer program, when executed by the processor, implements any step of the method for determining the optimal radial clearance of a precision ball screw assembly as described in the first aspect of the present invention.

[0015] Fourthly, embodiments of the present invention provide a computer-readable storage medium having a computer program stored thereon, wherein: when the computer program is executed by a processor, it implements any step of the method for determining the optimal radial clearance of a precision ball screw assembly as described in the first aspect of the present invention.

[0016] The beneficial effects of this invention are: This invention establishes an adaptive prediction model based on dynamic load response, which can dynamically predict the optimal radial clearance according to the actual operating conditions (such as temperature rise, lubrication status, preload, and flexibility), achieving real-time adaptive optimization of the clearance. The predicted values ​​are directly imported into the micron-level assembly execution system, and combined with closed-loop feedback, the actual assembly clearance is precisely fine-tuned, effectively improving the assembly accuracy of the ball screw pair. At the same time, the vibration, thermal drift, and actual clearance data after assembly are fed back to the adaptive prediction model, realizing dynamic correction and self-learning of the model parameters, ensuring that the prediction accuracy of the next batch of assembly continues to improve. Attached Figure Description

[0017] To more clearly illustrate the technical solutions of the embodiments of the present invention, the drawings used in the description of the embodiments will be briefly introduced below. Obviously, the drawings described below are only some embodiments of the present invention. For those skilled in the art, other drawings can be obtained based on these drawings without creative effort. Wherein: Figure 1 This is a flowchart of a method for determining the optimal radial clearance in a precision ball screw assembly, as proposed in this invention. Figure 2This is a flowchart illustrating the optimal radial clearance determination method for precision ball screw assembly proposed in this invention. Figure 3 This is a system architecture diagram of a precision ball screw assembly optimal radial clearance determination system proposed in this invention. Detailed Implementation

[0018] To make the above-mentioned objects, features and advantages of the present invention more apparent and understandable, the specific embodiments of the present invention will be described in detail below with reference to the accompanying drawings.

[0019] Many specific details are set forth in the following description in order to provide a full understanding of the invention. However, the invention may also be practiced in other ways different from those described herein, and those skilled in the art can make similar extensions without departing from the spirit of the invention. Therefore, the invention is not limited to the specific embodiments disclosed below.

[0020] Reference Figure 1-3 This invention provides a method for determining the optimal radial clearance in a precision ball screw assembly, comprising: S1. Obtain the basic structural parameters and dynamic load data of the ball screw assembly in its assembled state, and construct a radial load-backlash coupling response model; the basic structural parameters include the screw thread pitch diameter. (The contact radius between the ball and the nut is a fundamental parameter affecting the calculation of contact stiffness.) Ball diameter (Affecting the radius of curvature of the contact point and the distribution of contact stress), radius of curvature of the raceway groove (Used to calculate the Hertzian contact area between the balls and the raceways), elastic modulus of the nut material. With the elastic modulus of the lead screw material (Affecting the calculation of contact deformation), preload force (Reflects the contact stress between the balls and the raceway in the initial assembly state, and is an important reference for the initial clearance value), ball circulation number and arrangement angle. (Used to describe the non-uniformity of force distribution), assembly temperature (Providing initial boundary conditions for the thermal compensation model), the above parameters constitute the static structural characteristics of the ball screw pair, which determine the basic physical boundary of the system response under dynamic load; Dynamic load data includes radial load. (Measured in real time by a triaxial force sensor), axial load (Obtained by a triaxial force sensor), vibration acceleration (Vibration acceleration is used to identify the structural dynamic response under load), radial elastic deformation at the ball contact point. (Data collected in real time by a laser displacement sensor) Instantaneous temperature rise (Monitored by thermocouple patch, used to correct contact stiffness), lubricating film thickness (Used to determine whether lubrication conditions cause clearance drift through acoustic emission calculations) The radial load-gap coupled response model is constructed based on the relationship between load and contact stiffness, which is as follows: ; in, Radial contact stiffness (reflects the ability of the ball and nut contact to resist radial displacement); Radial load; This refers to the elastic deformation at the contact point between the ball and the nut. This formula represents the radial contact stiffness of the lead screw pair under ideal conditions. However, in actual operation, the contact state of the lead screw pair is affected by many factors such as temperature, lubrication, and load rate, which leads to deviations in the theoretical stiffness value. The radial load-gap coupled response model is as follows:

[0021] in, Radial load; This refers to the elastic deformation at the contact point between the ball and the nut. The instantaneous force and deformation characteristics of the response ensure that the model is consistent with actual physical laws; S2. Based on the radial load-clearance coupling model, calculate the elastic deformation of the contact area between the ball and the nut under different load conditions to obtain the instantaneous contact stiffness; under different load conditions (such as 0.5 times the rated load, 1 times the rated load, 1.5 times the rated load), collect the contact deformation data between the ball and the nut, fit the stiffness change at each moment to obtain the dynamic stiffness curve. S3. Based on the instantaneous contact stiffness and load variation trend, generate the dynamic response curve of the assembly state and extract the gap sensitivity parameter. The extraction of gap sensitivity parameters specifically includes the following steps: S3.1 Based on the collected data, a multidimensional dynamic response curve is obtained, including the load-deformation curve. - This reflects the change in ball contact stiffness; stiffness-temperature curve. - This explains the effect of thermal expansion on stiffness, where stiffness is calculated using a radial load-gap coupled response model; vibration-gap curves are also included. - It is used to identify resonance behavior caused by gap changes; S3.2. From multiple sets of dynamic curves, data from the steady-state phase are selected for second-order differential analysis to obtain the rate of change of stiffness with respect to clearance and temperature, as follows: ; in, This is the gap sensitivity parameter. For radial stiffness, For assembly clearance, For system temperature rise, This is the thermal sensitivity weighting coefficient, used to balance the degree of influence of thermal effects on stiffness; Describe the direct effect of gap variation on contact stiffness. This describes the indirect effect of temperature rise on the contact characteristics of the ball joint. By superimposing the two, the combined sensitivity of the mechanical and thermal responses caused by the gap change can be quantitatively reflected. S3.3. Normalize the calculation results of the gap sensitivity parameters under different loads, i.e. Normalized spirituality parameters It was used in subsequent predictive models; S4. Based on the clearance sensitivity parameter, and combined with the operating temperature rise, lubrication status and preload change data of the ball screw pair, an adaptive radial clearance prediction model is constructed. The specific expression of the adaptive radial clearance prediction model is as follows: ; in For optimal radial clearance, To normalize the compliance, compliance represents the displacement capability of a ball screw pair under radial load, and is the reciprocal of stiffness. , To normalize the gap sensitivity, To normalize the temperature difference, Lubrication index (0-1, 1 is the best). The preload force is a standardized value (0-1). Geometric health score (0-1, 0 indicates severe geometric abnormality). ... , The model coefficients are determined through calibration experiments. The linear model enables the deployment of industrial production lines, and the predicted values ​​can be directly used for pre-assembly or assembly process control, reducing reliance on experience. Furthermore, by comprehensively considering dynamic response and environmental factors, the prediction gap is matched with the real-time operating status. The adaptive radial clearance prediction model outputs an optimal clearance that exceeds the assembly's adjustable range. or geometric health When the preset threshold is exceeded, an abnormal process is triggered. The abnormal process includes prompting manual inspection and recording the current input features and historical data for offline analysis. S5. The radial clearance is predicted under different operating conditions using an adaptive radial clearance prediction model to obtain the optimal radial clearance prediction value. Compared with the traditional method of determining clearance based on experience, this step realizes "data-driven assembly decision-making", effectively reducing assembly uncertainty and improving product consistency and accuracy stability. S6. Based on the optimal radial clearance prediction value, the actual assembly clearance is adjusted, and the vibration response and thermal drift feedback after adjustment are monitored in real time. By introducing operational feedback, the transition from "static assembly" to "dynamic evaluation" is realized. The system can detect the potential impact of small thermal expansion or assembly stress on the clearance, thereby preventing early wear and abnormal noise and improving life stability. The monitoring of vibration response is as follows: Vibration amplitude is collected using an accelerometer. A vibration threshold is preset, and if the vibration amplitude exceeds the preset threshold, a repair rule is triggered. The thermal drift feedback monitoring is as follows: The temperature rise of the nut and raceway surfaces is monitored using an infrared sensor. The effect of thermal expansion on the gap is calculated by combining the compliance and gap sensitivity parameters, as follows: , in This represents the change in radial clearance. The coefficient of thermal expansion of the ball screw is... This is the adjusted actual assembly clearance. If the change exceeds a preset threshold, a repair rule will be triggered. S7. Based on vibration response and thermal drift feedback, the adaptive radial clearance prediction model is modified to achieve dynamic matching between assembly clearance and running characteristics, thereby forming a self-correcting closed-loop control of the optimal radial clearance of the ball screw assembly. The specific repair rules are as follows: fine-tune the radial position of the nut, adjust the preload, and adjust the load angle. If the problem still does not converge, repeat the correction operation until the vibration and gap changes meet the requirements. Through real-time feedback correction of vibration and thermal drift, the assembly gap accuracy can be controlled at the micron level. Timely correction of defective gaps that may lead to increased vibration, noise, or friction can improve service life and stability.

[0022] This embodiment also provides a system for determining the optimal radial clearance of a precision ball screw assembly, including: The data acquisition module collects various physical data of the ball screw pair during assembly and operation. The adaptive prediction model module predicts the optimal radial clearance based on the collected operating status and sensitivity parameters. The assembly execution module performs actual assembly operations based on predicted values, achieving micron-level radial clearance adjustment. The real-time monitoring module monitors vibration response and thermal drift, and assesses whether the current clearance status meets dynamic performance requirements. The closed-loop correction module dynamically adjusts assembly parameters and performs minor corrections when deviations or anomalies are triggered. The data storage and feedback module records assembly process data, actual clearances, and vibration / thermal drift indices, providing training and update data for the adaptive prediction model. The user interaction and exception management module provides a manual intervention interface and exception prompts.

[0023] This embodiment also provides a computer device applicable to a method for determining the optimal radial clearance of a precision ball screw assembly, comprising: a memory and a processor; the memory is used to store computer-executable instructions, and the processor is used to execute the computer-executable instructions to implement the method for determining the optimal radial clearance of a precision ball screw assembly as proposed in the above embodiment.

[0024] The computer device can be a terminal, comprising a processor, memory, communication interface, display screen, and input devices connected via a system bus. The processor provides computing and control capabilities. The memory includes non-volatile storage media and internal memory. The non-volatile storage media stores the operating system and computer programs. The internal memory provides an environment for the operation of the operating system and computer programs stored in the non-volatile storage media. The communication interface is used for wired or wireless communication with external terminals; wireless communication can be achieved through Wi-Fi, carrier networks, NFC (Near Field Communication), or other technologies. The display screen can be an LCD screen or an e-ink screen. The input devices can be a touch layer covering the display screen, buttons, a trackball, or a touchpad on the computer device's casing, or an external keyboard, touchpad, or mouse.

[0025] This embodiment also provides a storage medium storing a computer program. When executed by a processor, this program implements a method for determining the optimal radial clearance of a precision ball screw assembly as described in the above embodiments. The storage medium can be implemented by any type of volatile or non-volatile storage device or a combination thereof, such as Static Random Access Memory (SRAM), Electrically Erasable Programmable Read-Only Memory (EEPROM), Erasable Programmable Read Only Memory (EPROM), Programmable Red-Only Memory (PROM), Read-Only Memory (ROM), magnetic storage, flash memory, magnetic disk, or optical disk. In summary, this invention establishes an adaptive prediction model based on dynamic load response, which can dynamically predict the optimal radial clearance according to actual operating conditions (such as temperature rise, lubrication status, preload, and flexibility), achieving real-time adaptive optimization of the clearance. The predicted values ​​are directly imported into the micron-level assembly execution system, and combined with closed-loop feedback, the actual assembly clearance is precisely fine-tuned, effectively improving the assembly accuracy of the ball screw pair. At the same time, the vibration, thermal drift, and actual clearance data after assembly are fed back to the adaptive prediction model, realizing dynamic correction and self-learning of model parameters, ensuring that the prediction accuracy of the next batch of assembly continues to improve.

[0026] It should be noted that the above embodiments are only used to illustrate the technical solutions of the present invention and are not intended to limit it. Although the present invention has been described in detail with reference to preferred embodiments, those skilled in the art should understand that modifications or equivalent substitutions can be made to the technical solutions of the present invention without departing from the spirit and scope of the technical solutions of the present invention, and all such modifications or substitutions should be covered within the scope of the claims of the present invention.

Claims

1. A method for determining the optimal radial clearance in a precision ball screw assembly, characterized in that: include: S1. Obtain the basic structural parameters and dynamic load data of the ball screw pair in the assembled state, and construct a radial load-clearance coupled response model; S2. Based on the radial load-gap coupling model, calculate the elastic deformation of the contact area between the ball and the nut under different load conditions to obtain the instantaneous contact stiffness; S3. Based on the instantaneous contact stiffness and load change trend, generate the dynamic response curve of the assembly state and extract the gap sensitivity parameter. S4. Based on the aforementioned clearance sensitivity parameters, and combined with the operating temperature rise, lubrication status, and preload change data of the ball screw pair, an adaptive radial clearance prediction model is constructed. S5. The adaptive radial clearance prediction model is used to predict the radial clearance under different operating conditions to obtain the optimal radial clearance prediction value. S6. Based on the predicted optimal radial clearance, adjust the actual assembly clearance and monitor the vibration response and thermal drift feedback after adjustment in real time. S7. Based on the vibration response and thermal drift feedback, the adaptive radial clearance prediction model is modified to achieve dynamic matching between assembly clearance and operating characteristics.

2. The method for determining the optimal radial clearance of a precision ball screw assembly according to claim 1, characterized in that: The radial load-gap coupled response model is constructed based on the relationship between load and contact stiffness. The specific radial load-gap coupled response model is as follows: ； in, Radial load; This represents the elastic deformation at the contact point between the ball and the nut.

3. The method for determining the optimal radial clearance of a precision ball screw assembly according to claim 2, characterized in that: The extraction of the gap sensitivity parameter specifically includes the following steps: S3.1 Based on the collected data, multidimensional dynamic response curves are obtained, including load-deformation curves, stiffness-temperature curves, and vibration-gap curves. S3.

2. From multiple sets of dynamic curves, data from the steady-state phase are selected for second-order differential analysis to obtain the rate of change of stiffness with respect to clearance and temperature, as follows: ; in, This is the gap sensitivity parameter. For radial stiffness, For assembly clearance, For system temperature rise, This is the thermal sensitivity weighting coefficient, used to balance the degree of influence of thermal effects on stiffness; S3.3 Normalize the calculation results of gap sensitivity parameters under different loads.

4. The method for determining the optimal radial clearance of a precision ball screw assembly according to claim 3, characterized in that: The specific expression of the adaptive radial clearance prediction model is as follows: ; in For optimal radial clearance, To normalize the softness, To normalize the gap sensitivity, To normalize the temperature difference, Lubrication index (0-1, 1 is the best). The preload force is a standardized value (0-1). Geometric health score (0-1, 0 indicates severe geometric abnormality). ... , These are the model coefficients.

5. The method for determining the optimal radial clearance of a precision ball screw assembly according to claim 1, characterized in that: When the optimal output clearance of the adaptive radial clearance prediction model exceeds the assembly adjustable range or the geometric health exceeds a preset threshold, an abnormal process is triggered. The abnormal process includes prompting manual inspection and recording the current input features and historical data.

6. The method for determining the optimal radial clearance of a precision ball screw assembly according to claim 5, characterized in that: The monitoring of the vibration response is as follows: Vibration amplitude is collected by an accelerometer, and a vibration threshold is preset. If the vibration amplitude exceeds the preset threshold, a repair rule is triggered. The thermal drift feedback monitoring is as follows: The temperature rise of the nut and raceway surfaces is monitored using an infrared sensor, and the effect of thermal expansion on the clearance is calculated by combining compliance and clearance sensitivity parameters, as detailed below: ， in This represents the change in radial clearance. The coefficient of thermal expansion of the ball screw is... This is the adjusted actual assembly clearance. If the change exceeds the preset threshold, a repair rule will be triggered.

7. The method for determining the optimal radial clearance of a precision ball screw assembly according to claim 6, characterized in that: The specific repair rules are as follows: fine-tune the radial position of the nut, adjust the preload, and adjust the load angle. If the problem still does not converge, repeat the correction operation until the vibration and gap changes meet the requirements.

8. A system for determining the optimal radial clearance of a precision ball screw assembly, based on the method for determining the optimal radial clearance of a precision ball screw assembly as described in any one of claims 1-7, characterized in that: include: The data acquisition module collects various physical data of the ball screw pair during assembly and operation. The adaptive prediction model module predicts the optimal radial clearance based on the collected operating status and sensitivity parameters. The assembly execution module performs actual assembly operations based on predicted values, achieving micron-level radial clearance adjustment. The real-time monitoring module monitors vibration response and thermal drift, and assesses whether the current clearance status meets dynamic performance requirements. The closed-loop correction module dynamically adjusts assembly parameters and performs minor corrections when deviations or anomalies are triggered. The data storage and feedback module records assembly process data, actual clearances, and vibration / thermal drift indices, providing training and update data for the adaptive prediction model. The user interaction and exception management module provides a manual intervention interface and exception prompts.

9. A computer device comprising a memory and a processor, wherein the memory stores a computer program, characterized in that: When the processor executes the computer program, it implements the steps of the method for determining the optimal radial clearance of a precision ball screw assembly as described in any one of claims 1-7.

10. A computer-readable storage medium having a computer program stored thereon, characterized in that: When the computer program is executed by the processor, it implements the steps of the method for determining the optimal radial clearance of a precision ball screw assembly as described in any one of claims 1-7.

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