Method for determining minimum sample number of rolling bearing assembly and interrupt processing method
By obtaining the dimensional deviation and optimal service clearance information of the inner and outer rings of the bearing, determining the dimensional deviation range grouping and calculating the minimum sample number, the assembly and matching process is optimized, solving the interruption problem caused by insufficient adapters in the automated assembly of rolling bearings, and improving production efficiency and continuity.
Patent Information
- Application Number
- CN202511047206.4
- Authority / Receiving Office
- CN · China
- Patent Type
- Patents(China)
- Current Assignee / Owner
- Filing Date
- 2025-07-29
- Publication Date
- 2025-10-10
- Estimated Expiration
- 2045-07-29
AI Technical Summary
During the automated assembly production process of rolling bearings, the waiting area silo is often filled up due to the inability to find the matching parts, resulting in interruption and jamming of the assembly process and low production efficiency.
By obtaining the size deviation distribution information of the inner and outer rings of the bearing and the optimal service clearance information, the size deviation range grouping information is determined. Combined with the number of silo lanes in the waiting area and the probability of assembly failure, the minimum number of samples is calculated, the assembly and matching process is optimized, and excess accessories are matched first. Optimized process information is generated to avoid interruptions.
It effectively improves production efficiency, avoids interruptions and jams caused by the inability to find adapters, and ensures production continuity and rational allocation of resources.
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Figure CN120562074B_ABST
Abstract
Description
Technical Field
[0001] The present application relates to the technical field of bearing processing data processing, and in particular to a method for determining a minimum number of samples for rolling bearing assembly and interrupt processing. Background Art
[0002] Bearings, as crucial transmission components in mechanical systems, are widely used in modern industry. In the mass production of rolling bearings, some factories still use manual sorting and assembly, while others employ automated assembly lines.
[0003] At present, in the assembly production process of the automated assembly line, it is easy for the waiting area silo to be filled up due to the inability to find the matching parts, resulting in the interruption and jam of the assembly process. There is a problem of low production efficiency, which needs further improvement. Summary of the Invention
[0004] Based on this, an embodiment of the present application provides a method for determining the minimum number of samples for rolling bearing assembly and interruption processing to solve the problem of low production efficiency in the prior art.
[0005] In a first aspect, an embodiment of the present application provides a method for determining a minimum number of samples for rolling bearing assembly and interrupt processing, the method comprising:
[0006] Obtain the inner and outer ring size deviation distribution information and the optimal bearing service clearance information corresponding to any production batch of bearings to be assembled;
[0007] Determining grouping information of the inner and outer ring size deviation ranges of the bearing to be assembled based on the inner and outer ring size deviation distribution information and the bearing service optimal clearance information;
[0008] Determining the assembly failure probability information corresponding to the bearings to be assembled in the production batch according to the number of silo lanes in the waiting area of the bearing assembly equipment and the grouping information of the inner and outer ring size deviation ranges of the bearings to be assembled;
[0009] Determine the minimum number of samples based on the number of silo lanes in the waiting area and the inner and outer ring size deviation range grouping information corresponding to each production batch;
[0010] Based on the minimum sample number information and the bearing fitting failure probability information, the bearing fitting selection process is optimized to generate optimized process information, wherein the optimized process information is used to indicate that when the fitting process is interrupted, the inner and outer ring intermediate group components are selected according to the intermediate group component fitting processing method to give priority to matching excess accessories.
[0011] Compared with the prior art, the beneficial effects are as follows: the method for determining the minimum number of samples and interruption processing for rolling bearing assembly provided in the embodiment of the present application, the terminal device can first obtain the inner and outer ring size deviation distribution information and the bearing service optimal clearance information corresponding to the bearings to be assembled of any production batch, and then quickly determine the inner and outer ring size deviation range grouping information of the bearings to be assembled based on the inner and outer ring size deviation distribution information and the bearing service optimal clearance information. Then, based on the number of waiting area silo lanes of the bearing assembly equipment and the inner and outer ring size deviation range grouping information of the bearings to be assembled, the assembly failure probability information corresponding to the bearings to be assembled in the production batch is accurately determined. Then, based on the number of waiting area silo lanes and the inner and outer ring size deviation range grouping information corresponding to each production batch, the minimum number of samples information is effectively determined. Finally, based on the minimum number of samples information and the assembly failure probability information, the bearing assembly selection process is optimized and optimized process information is generated to prioritize matching excess accessories, thereby avoiding the situation where the waiting area silo is full due to the inability to find suitable accessories, resulting in the assembly process being interrupted or stuck, effectively improving production efficiency and solving the current problem of low production efficiency to a certain extent.
[0012] In a second aspect, an embodiment of the present application provides a system for determining the minimum number of samples for rolling bearing assembly and for processing interruptions, the system comprising:
[0013] Inner and outer ring size deviation distribution information acquisition module: used to obtain the inner and outer ring size deviation distribution information and the bearing service optimal clearance information corresponding to any production batch of bearings to be assembled;
[0014] Inner and outer ring size deviation range grouping information determination module: used to determine the inner and outer ring size deviation range grouping information of the bearing to be assembled based on the inner and outer ring size deviation distribution information and the bearing service optimal clearance information;
[0015] A module for determining the probability of failure of assembly: used to determine the probability of failure of assembly corresponding to the bearings to be assembled in the production batch according to the number of silo lanes in the waiting area of the bearing assembly equipment and the grouping information of the size deviation range of the inner and outer rings of the bearings to be assembled;
[0016] Minimum sample number information determination module: used to determine the minimum sample number information based on the number of silo lanes in the waiting area corresponding to each production batch and the grouping information of the inner and outer ring size deviation range;
[0017] Optimization process information generation module: used to optimize the bearing fitting and selection process based on the minimum sample number information and the fitting failure probability information, and generate optimization process information, wherein the optimization process information is used to indicate that when the fitting process is interrupted, the inner and outer ring intermediate group components are selected according to the intermediate group component fitting processing method to give priority to matching excess accessories.
[0018] In a third aspect, an embodiment of the present application provides a terminal device, comprising a memory, a processor, and a computer program stored in the memory and capable of running on the processor, and the processor implements the steps of the method of the first aspect when running the computer program.
[0019] In a fourth aspect, an embodiment of the present application provides a computer readable storage medium, which stores a computer program, and the computer program implements the steps of the method of the first aspect when executed by a processor.
[0020] It can be understood that the beneficial effects of the second aspect to the fourth aspect can be referred to the related description in the first aspect, which will not be repeated here. BRIEF DESCRIPTION OF DRAWINGS
[0021] In order to more clearly illustrate the technical solutions in the embodiments of the present application, the drawings needed to be used in the embodiments or prior art description will be briefly introduced.
[0022] Figure 1 is a flowchart of the minimum sample number determination and interruption processing method provided by an embodiment of the present application;
[0023] Figure 2 is a flowchart of step S200 in the minimum sample number determination and interruption processing method provided by an embodiment of the present application;
[0024] Figure 3 is a flowchart before step S300 in the minimum sample number determination and interruption processing method provided by an embodiment of the present application;
[0025] Figure 4 is a schematic diagram of a waiting area provided by an embodiment of the present application;
[0026] Figure 5 is a flowchart of step S400 in the minimum sample number determination and interruption processing method provided by an embodiment of the present application;
[0027] Figure 6 is a flowchart after step S500 in the minimum sample number determination and interruption processing method provided by an embodiment of the present application;
[0028] Figure 7 is a heat diagram of the number of sets of different waiting area lanes provided by an embodiment of the present application;
[0029] Figure 8 is a schematic diagram of the number of sets of different lanes provided by an embodiment of the present application;
[0030] Figure 9(a) is a schematic diagram of the success rate of nesting when the waiting area is 12 tracks according to an embodiment of the present application. Figure 9 (b) is a schematic diagram of the success rate of nesting when the waiting area is 14 lanes, provided in one embodiment of the present application. Figure 9 (c) is a schematic diagram of the success rate of nesting when the waiting area is 13 lanes, provided by an embodiment of the present application;
[0031] Figure 10 (a) is a schematic diagram showing the number of 13 sets provided in an embodiment of the present application. Figure 10 (b) is a schematic diagram showing a comparison of the number of 12 sets provided in an embodiment of the present application;
[0032] Figure 11 Schematic diagram of the probability of a shutoff provided by an embodiment of the present application;
[0033] Figure 12 This is a schematic diagram of the number of sets when the two grouping methods provided in one embodiment of the present application are interrupted;
[0034] Figure 13 This is a module block diagram of a minimum sample number determination and interrupt processing system provided by an embodiment of the present application;
[0035] Figure 14 This is a schematic diagram of a terminal device provided in one embodiment of the present application. DETAILED DESCRIPTION
[0036] In the following description, specific details such as specific system structures and techniques are provided for purposes of illustration rather than limitation to facilitate a thorough understanding of the embodiments of the present application. However, it will be apparent to those skilled in the art that the present application may be implemented in other embodiments without these specific details. In other cases, detailed descriptions of well-known systems, devices, circuits, and methods are omitted to avoid obscuring the description of the present application with unnecessary detail.
[0037] In the description of this application specification and the appended claims, the terms "first", "second", "third", etc. are only used to distinguish the descriptions and cannot be understood as indicating or implying relative importance.
[0038] References to "one embodiment" or "some embodiments" in this specification mean that a particular feature, structure, or characteristic described in conjunction with that embodiment is included in one or more embodiments of the present application. Thus, phrases such as "in one embodiment," "in some embodiments," "in other embodiments," and "in other embodiments" appearing in various places in this specification do not necessarily refer to the same embodiment, but rather mean "one or more but not all embodiments," unless otherwise specifically emphasized. The terms "including," "comprising," "having," and variations thereof all mean "including but not limited to," unless otherwise specifically emphasized.
[0039] In order to illustrate the technical solution described in this application, specific embodiments are provided below.
[0040] See also Figure 1 , Figure 1 1 is a flow chart of a method for determining the minimum number of samples and handling interruptions for rolling bearing assembly provided in an embodiment of the present application. In this embodiment, the method for determining the minimum number of samples and handling interruptions is performed by a terminal device. It is understood that the types of terminal devices include, but are not limited to, mobile phones, tablet computers, laptop computers, ultra-mobile personal computers (UMPCs), netbooks, personal digital assistants (PDAs), etc., and the embodiments of the present application do not impose any restrictions on the specific types of terminal devices.
[0041] See also Figure 1 The method for determining the minimum number of samples and handling interruption provided in the embodiment of the present application includes but is not limited to the following steps:
[0042] In S100, the size deviation distribution information of the inner and outer rings and the optimal service clearance information of the bearings corresponding to any production batch to be assembled are obtained.
[0043] Specifically, the terminal device can first obtain the inner and outer ring size deviation distribution information and the optimal service clearance information of the bearings corresponding to any production batch to be assembled.
[0044] For example, the specific inner ring size and the specific outer ring size of the bearing to be assembled can be obtained by measuring with a contact measuring sensor, and the terminal device can determine the inner and outer ring size deviation distribution information based on the specific inner ring size and the specific outer ring size.
[0045] In S200 , the grouping information of the size deviation ranges of the inner and outer rings of the bearing to be assembled is determined based on the size deviation distribution information of the inner and outer rings and the optimal service clearance information of the bearing.
[0046] Specifically, the terminal device can effectively determine the grouping information of the inner and outer ring size deviation ranges of the bearing to be assembled based on the inner and outer ring size deviation distribution information and the bearing service optimal clearance information.
[0047] In a possible implementation, the terminal device may also obtain size deviation distribution information of the rolling element to improve the comprehensiveness of the data.
[0048] In some possible implementations, in order to effectively group the inner and outer ring size deviation range information, please refer to Figure 2 Step S200 includes but is not limited to the following steps:
[0049] In S210 , a probability density function is constructed based on the inner and outer ring size deviation distribution information.
[0050] For example, the terminal device may construct a probability density function based on the inner and outer ring size deviation distribution information and a statistical distribution model of a normal distribution.
[0051] In S220, based on the information of the optimal bearing service clearance, the probability density function is divided into equal probability groups to generate group information of the inner and outer ring size deviation ranges.
[0052] Specifically, after the terminal device constructs the probability density function, the terminal device can perform equal probability division processing on the probability density function based on the bearing's optimal service clearance information, under the condition of the optimal service clearance, so as to distribute it to different intervals according to the size of the deviation size, and effectively generate inner and outer ring size deviation range grouping information.
[0053] In S300 , the assembly failure probability information corresponding to the bearings to be assembled in the production batch is determined based on the number of silo lanes in the waiting area of the bearing assembly equipment and the grouping information of the size deviation range of the inner and outer rings of the bearings to be assembled.
[0054] Specifically, the terminal device can accurately determine the assembly failure probability information corresponding to the bearings to be assembled in the production batch based on the number of silo lanes in the waiting area of the bearing assembly equipment and the grouping information of the inner and outer ring size deviation range of the bearings to be assembled.
[0055] It should be noted that the bearing assembly failure probability refers to the probability that the inner and outer ring components cannot be matched in the waiting area during deep groove ball bearing assembly, resulting in the inability to complete the assembly. This probability reflects the possibility of sparse or uneven component distribution when there are insufficient lanes or too many groups in the waiting area, leading to matching failure. The ratio of lanes to groups is a key factor influencing the assembly failure probability. When there are sufficient lanes, the distribution is uniform, reducing the failure probability; when there are insufficient lanes, the distribution is sparse, increasing the failure probability.
[0056] In some possible implementations, to determine the number of silo lanes in the waiting area, see Figure 3 Before step S300, the method further includes but is not limited to the following steps:
[0057] In S301 , the maximum value information of the waiting pairing is obtained.
[0058] Specifically, the terminal device may first obtain the maximum value information of the waiting pairing, wherein the maximum value information of the waiting pairing is used to describe the maximum value of the inner and outer ring accessories of the bearing to be assembled that can be waited for pairing when they are not paired.
[0059] In S302, the maximum waiting pairing value information is determined to be the number of silo lanes in the waiting area.
[0060] Specifically, after the terminal device obtains the maximum waiting pairing value information, the terminal device may determine that the maximum waiting pairing value information is the number of silo lanes in the waiting area.
[0061] In S400, the minimum number of samples is determined based on the number of silo lanes in the waiting area and the grouping information of the inner and outer ring size deviation ranges corresponding to each production batch.
[0062] Specifically, the terminal device can effectively determine the minimum sample number information based on the number of silo lanes in the waiting area and the inner and outer ring size deviation range grouping information corresponding to each production batch.
[0063] It should be noted that in the automated production process of bearing assembly, determining the minimum number of samples is the core link in optimizing the efficiency and stability of the production line. The determination of this parameter is not only related to the rational allocation of equipment resources, but also directly affects the assembly success rate and production continuity. In the automated assembly system, the matching relationship between the number of waiting area lanes (M) and the number of groups (N) determines the density and randomness of the distribution of accessories. When the number of lanes is insufficient, the accessories are sparsely distributed, and the probability of matching within the same group or across groups is significantly reduced, resulting in frequent interruptions; while too many lanes may cause waste of resources and increase system complexity. Therefore, it is necessary to determine the minimum number of lanes (M) that meets the assembly success rate requirements. min ) becomes the key to balancing efficiency and cost.
[0064] In some possible implementations, to determine the minimum number of samples, see Figure 4 Step S400 includes but is not limited to the following steps:
[0065] In S410, the number of lanes in the waiting area is determined according to the number of lanes in the waiting area, and the number of groups is determined according to the grouping information of the inner and outer ring size deviation ranges.
[0066] Specifically, the terminal device can quickly determine the number of lanes in the waiting area based on the number of silo lanes in the waiting area, and efficiently determine the number of groups based on the grouping information of the inner and outer ring size deviation ranges.
[0067] In S420, the number of silo lanes in the waiting area and the grouping information of the inner and outer ring size deviation ranges are input into a preset fitting success rate calculation function to determine the fitting success rate information.
[0068] Specifically, after the terminal device determines the number of lanes and grouping information in the waiting area, the terminal device can input the number of lanes in the waiting area silo and the grouping information of the inner and outer ring size deviation range into the preset fitting success rate calculation function to accurately determine the fitting success rate information.
[0069] In a possible implementation, the function for calculating the success rate of nesting can be:
[0070] ,
[0071] Where, Indicates the success rate of the combination. Indicates the failure probability information of the same group, represents the probability of failure across combinations, Indicates the number of groups, Indicates the number of lanes in the waiting area. Indicates the number of combinations, for example is the number of combinations of choosing 2 from 5 elements, is the starting value of the first set, It is the starting value of the second set.
[0072] It should be noted that the numerator in the same-group failure probability information describes all possible situations in which the same group of accessories cannot meet the minimum matching requirements due to insufficient number of channels; the numerator in the cross-group failure probability comprehensively considers the failure situations caused by incompatible dimensional deviations during cross-group adaptation.
[0073] In S430 , the minimum number of samples is determined based on the matching success rate information.
[0074] Specifically, after the terminal device determines the set success rate information, the terminal device can determine the minimum sample number information based on the set success rate information, where the minimum sample number information is used to describe the minimum number of channels required under the condition that the set success rate information is greater than the specified probability; the specific value of the specified probability can be customized.
[0075] Among some possible implementations, the inventors have found from a large number of practical applications that: (1) when the number of tracks is less than twice the number of groups, the average number of groups allocated to each track is small. In the case of a random distribution of groups, the number of group components in some tracks will be too small or even missing, which will reduce the matching success rate and significantly reduce the success rate of fitting. (2) when the number of tracks is equal to twice the number of groups, the components are evenly and densely distributed, the average number of components in each group increases, and the probability of repeated appearance of components with the same group number will increase, which will significantly improve the probability of successful matching and significantly increase the success rate of fitting. (3) when the number of tracks is much larger than the number of groups, such as three times the number of groups or more, its distribution will be more even, and the unevenness caused by randomness can be effectively balanced, so that the chances of all group components participating in matching increase, thereby further improving the efficiency of fitting.
[0076] Therefore, the value of the minimum number of samples information can be at least twice the number of groups information, thereby significantly improving the success rate of the combination and avoiding resource waste and increased system complexity.
[0077] In S500 , based on the minimum sample number information and the bearing assembly failure probability information, the bearing assembly selection process is optimized to generate optimized process information.
[0078] Specifically, the terminal device can optimize the bearing fitting and selection process based on the minimum sample number information and the fitting failure probability information, and generate optimized process information, which is conducive to utilizing redundant space to reduce density, and realize real-time monitoring and allocation, to ensure production continuity and effectively improve production efficiency. Among them, the optimized process information is used to indicate that when the fitting process is interrupted, the inner and outer ring intermediate group components are selected according to the intermediate group component fitting processing method to give priority to matching excess accessories.
[0079] Specifically, the assembly process interruption is used to describe the interruption situation where the assembly process cannot continue because the waiting area of the inner and outer ring parts is full and there are no matching parts with the same group number;
[0080] For example, see Figure 5 The intermediate group assembly processing method is used to describe the method of cross-group assembly of the target group under the condition of meeting the optimal clearance range, wherein the target group is used to describe the group whose size deviation is close to the mean of the normal distribution. For example, when the size deviation is divided into 8 groups, the 4th and 5th groups are selected as the target groups. In a possible implementation method, the target group can be the group whose size deviation is closest to the mean of the normal distribution.
[0081] It should be noted that, since the size deviation between the inner and outer ring accessories of the target group is small, the matching is more likely to meet the production specified play range; when the number of components of the middle group assembly (such as the 5th group) in the outer ring waiting area exceeds the preset threshold, for example, the number is greater than 2, the terminal device can determine that the density of this group is too high, which is easy to cause congestion, so the excess middle group assembly accessories are preferentially matched with other middle group assembly accessories (such as the 4th group), which can reduce the backlog of single group accessories, and greatly improve the success probability of matching to the same group.
[0082] In some possible implementations, in order to realize automatic selection of the rolling body, so as to improve production efficiency, please refer to Figure 6 After step S500, the method further includes but is not limited to the following steps:
[0083] In S600, the initial play information is obtained.
[0084] Without loss of generality, after the middle group assembly accessories are matched across groups, due to the accumulation of size deviation, the initial play may not meet the production standard. In order to solve this problem, the play can be accurately controlled through the automatic adjustment scheme of the rolling body. According to the deviation of the initial play, the terminal device can automatically select different specifications of the rolling body for adjustment, wherein the rolling body has multiple specifications to choose from.
[0085] Specifically, the terminal device can first obtain the initial play information.
[0086] In S610, the initial play information is compared with the play upper limit value information.
[0087] Specifically, after the terminal device obtains the initial play information, the terminal device can compare the initial play information with the play upper limit value information, wherein the play upper limit value information can be set to 38 microns.
[0088] In S620, if the initial play information is greater than the play upper limit value information, the first rolling body is determined as the initial selected rolling body.
[0089] Specifically, if the initial play information is greater than the play upper limit value information, the terminal device can determine that the first rolling body is the initial selected rolling body, wherein the size of the first rolling body is greater than the size of the current rolling body.
[0090] For example, if the initial play is 25 microns (exceeding the upper limit of 23 microns), the terminal device can select a slightly larger rolling body (such as +4 microns) to reduce the play.
[0091] In S630, the initial play information is compared with the play lower limit value information.
[0092] Specifically, the terminal device can compare the initial clearance information and the clearance lower limit information at the same time, wherein the clearance lower limit information can be set to 20 microns.
[0093] In S640 , if the initial clearance information is less than the clearance lower limit information, the second rolling element is determined to be the pre-selected rolling element.
[0094] Specifically, if the initial clearance information is smaller than the clearance lower limit information, the terminal device may determine that the second rolling body is a preliminary selected rolling body, wherein the size of the second rolling body is smaller than the size of the current rolling body.
[0095] For example, if the initial clearance is 4 μm (lower than the lower limit of 6 μm), the terminal device may select a slightly smaller rolling element (for example, -4 μm) to increase the clearance.
[0096] In S650, it is determined whether the clearance corresponding to the preliminarily selected rolling element is within the specified fitting range.
[0097] Specifically, the terminal device can determine whether the clearance corresponding to the pre-selected rolling element is within the specified fitting range, where the specified fitting range is 6 microns to 23 microns.
[0098] In S660, if the clearance corresponding to the preselected rolling element is within the specified fitting range, the preselected rolling element is determined to be the fitting rolling element. Otherwise, a rolling element of another specification is re-determined as the preselected rolling element until the clearance corresponding to the preselected rolling element is within the specified fitting range.
[0099] Specifically, if the clearance corresponding to the pre-selected rolling element is within the specified range of the fitting, the terminal device can determine that the pre-selected rolling element is a fitting rolling element. Otherwise, the terminal device can re-determine a rolling element of another specification as the pre-selected rolling element until the clearance corresponding to the pre-selected rolling element is within the specified range of the fitting. In this way, the clearance range after fitting is automatically and repeatedly calculated during the adjustment process until the clearance falls within the range that meets the fitting requirements.
[0100] For example, in order to facilitate those skilled in the art to better understand the technical solution of this application, the following is combined with specific cases and the attached Figures 7 to 12 The technical solution is described in detail again.
[0101] Step 1: The production line utilizes a modular linear layout, integrating core modules such as inner and outer ring loading units, high-precision automatic inspection of inner and outer diameter faces, automatic raceway diameter inspection, dynamic sorting, intelligent automatic closing, and clearance detection (or vibration detection). Except for the loading stage, which requires manual intervention, all other processes utilize an industrial bus for closed-loop control, ensuring synchronization between data collection and process execution.
[0102] Step 2: After the bearing assembly undergoes inner and outer diameter end height testing, it enters the assembly assembly system. Once inside the assembly assembly, the bearing assembly passes through a contact sensor to measure the assembly groove diameter. The contact sensor, based on the principle of inductive displacement detection, uses a constant probe to scan and measure along the groove busbar, enabling real-time acquisition of the inner and outer ring groove diameter dimensions. After the groove diameter values are measured, the inner and outer ring dimensional deviation data is constructed using an independent dual-channel storage architecture to form a data set. After measurement, the components enter the inner and outer ring waiting areas, where they are grouped and matched. After grouping and matching, the inner and outer ring assemblies enter the rolling element loading area. The system adjusts the bearing clearance based on the assembly groove diameter, rolling element specifications, and the specified production clearance to ensure that the bearing clearance is within the specified production clearance range.
[0103] Step 3: Set the number of lanes to be selected in the waiting area and determine the number of groups with equal probability. Fill the waiting area randomly with the inner and outer circle components, and Position starts with the inner circle Start traversing, when the outer circle The group number and outer circle If the group numbers are the same, the matching operation is executed. Restart with the inner circle Start traversal; when the outer circle With the inner circle If the same group number cannot be found after traversal, the outer circle will start from the next one (i.e. ) and the inner ring Traverse.
[0104] Step 4: After the matching and closing action is executed, the inner and outer ring components are randomly added to make sure that there are no empty spaces in the waiting area. When there is no identical group number to match in the inner and outer ring waiting areas, the traversal stops and the number of inner and outer rings eliminated is recorded.
[0105] Step 5: Set the number of groups to , the number of channels is ,exist In the position, the group number may appear in the following situations: Kind, in There are also some possible situations where group numbers may appear in the position. Because there are So the total number of combinations is Assume the number of unmatched combinations is , then the probability of unsuccessful combination is:
[0106] ,
[0107] In the formula, the number of groups is , the number of channels is , round down when the fraction cannot be divided evenly.
[0108] Step 6: While controlling the number of silo channels to 12, 14, and 13 (the number of channels for conventional combined equipment on the market), change the number of groups and perform the traversal described in step 2. When there is no identical group number to match in the inner and outer waiting areas, the traversal stops, and the number of inner and outer circles eliminated is recorded. Different control groups are set up to observe the number of successful combinations and calculate the failure rate of each test group.
[0109] like Figure 9 As shown in (a), when the number of lanes in the waiting area is 12, the assembly success rate gradually decreases from approximately 98% to around 75% as the number of groupings increases from 3 to 8. This indicates that when the number of lanes in the waiting area is three times the number of groupings, the distribution of each group of parts in the waiting area is more even, avoiding the sparse distribution of parts caused by insufficient lanes.
[0110] like Figure 9 As shown in (b), when the number of waiting area lanes is 14, the success rate changes when the number of groupings is 6 to 9, and the overall trend is still downward. When the number of groupings is small (6 to 7), the success rate is at a high level, which shows that when the number of waiting area lanes is twice the number of groupings, the number of waiting area lanes 14 can meet the matching requirements of medium groupings to a certain extent, so that the number of accessories in the same group is relatively sufficient, and the size compatibility of cross-group matching can also be better guaranteed. As the number of groupings further increases to 8 to 9, the success rate gradually drops to around 80% to 85%, indicating that although the number of lanes is relatively high, the success rate is still relatively low. Figure 9 (a) in the figure has increased, but facing the ever-increasing number of groups, the probability of successful matching is still decreasing, and the matching efficiency and stability are affected to a certain extent.
[0111] like Figure 9 As shown in (c), when the number of waiting area lanes is 13, the success rate changes from 7 to 10 groups. As the number of groups increases, the success rate gradually decreases from 95% to 83.7%. When the number of waiting area lanes is twice the number of groups, the higher number of waiting area lanes provides more favorable conditions for matching. The number of parts in the same group is relatively abundant, and the incompatibility caused by dimensional deviation during cross-group matching can be alleviated to a certain extent, thus achieving a higher matching success rate. Due to the insufficient number of lanes, the number of combinations of parts in the same group that cannot meet the minimum matching requirements is reduced, thereby reducing the probability of same-group matching failure and improving the overall success rate. However, when the number of groups continues to increase to 9 to 10, the imbalance between the number of lanes and the number of groups becomes increasingly prominent, and the probability of failure in both the same group and cross-group increases, and the matching success rate decreases accordingly.
[0112] Step seven: In the automated assembly system, the matching relationship between the number of lanes (M) and the number of groups (N) in the waiting area determines the density and randomness of the distribution of components. When the number of lanes is insufficient, the distribution of components is sparse, and the probability of matching within the same group or across groups is significantly reduced, leading to frequent interruptions; while too many lanes may cause resource waste and increase system complexity. Therefore, determining the minimum number of lanes (M M min ) that meets the success rate requirement of assembly becomes the key to balancing efficiency and cost. From the perspective of probability theory, the success rate of assembly is affected by two main factors: the probability of failure within the same group (P ) represents the insufficient number of components in the same group, which cannot form effective pairing; the probability of failure across groups (P ) represents the incompatible size deviation between components in different groups, which cannot be adapted. On this basis, the contributions of the two failure scenarios can be quantified, and the total success rate formula is derived:
[0113] ,
[0114] When P approaches the threshold required by production, the corresponding is the theoretical optimal solution.
[0115] Then according to the number of lanes in the waiting area and the required success rate of assembly, the minimum sample size calculation formula is established, as follows: where the calculation formula of is:
[0116] ,
[0117] In the formula, the number of groups is N, the number of lanes in the waiting area is , is the number of combinations, for example is the number of combinations of 2 elements from 5 elements, is the first assembly starting value, is the second assembly starting value, and the numerator describes all possible cases where the number of lanes is insufficient to meet the minimum matching requirements of components in the same group.
[0118] The calculation formula of in the formula is:
[0119] ,
[0120] In the formula, the numerator combines the failure cases caused by incompatible size deviation when adapting across groups; the coefficient 2 represents the bidirectional nature of matching components in different groups of inner and outer rings, and the fraction is rounded down when it cannot be divided evenly.
[0121] From the perspective of probability theory, the success rate of assembly is affected by two main factors: the probability of failure within the same group (P Figure 9Figures (a), (b), and (c) show a clear relationship between the number of waiting area tracks and the number of groupings. When the number of tracks is insufficient relative to the number of groups, the success rate decreases rapidly as the number of groups increases. A moderate increase in the number of tracks can improve the success rate to a certain extent and slow its downward trend. Once the number of tracks reaches a certain level, while a high success rate can be maintained with a larger number of groupings, the decline in success rate caused by an excessive number of groups cannot be completely avoided. While the success rate of assembly is higher when the number of waiting area tracks is three times the number of groupings, considering cost and system complexity, a higher success rate is achieved when the number of waiting area tracks is twice the number of groupings, achieving a balance between efficiency and cost while maintaining a high assembly success rate.
[0122] A comparison of the number of fits with different numbers of groups and tracks revealed that when the number of tracks is less than twice the number of groups, the average number of groups allocated to each track is small. In the case of a random distribution of groups, the number of group components in some tracks may be too small or even missing, reducing the matching success rate and significantly reducing the fit success rate. When the number of tracks is equal to twice the number of groups, the components are evenly and densely distributed, the average number of components in each group increases, the probability of repeated appearance of components with the same group number increases, the matching success probability is significantly improved, and the fit success rate increases. However, when the number of tracks is close to twice the number of groups (for example, the number of tracks is 13 and the number of groups is 7 or 9), the fit success rate is not as high as when it is twice the corresponding relationship. The reason is that the number of tracks and the number of groups are not integer multiples. As a result, after the inner and outer rings of the bearings that meet the requirements are fit together, there are always fits that cannot be matched. As the number of fits increases, the accumulation increases, resulting in a decrease in the fit success rate. When the number of tracks is much larger than the number of groups (e.g., three times or more the number of groups), the distribution is more even, the unevenness caused by randomness is effectively balanced, the chances of all group components participating in the matching increase, and the efficiency of the matching is further improved.
[0123] Step 8: When the bearing assembly equipment is filled with silo lanes due to different group numbers, the group with size deviation close to the mean of the normal distribution has a smaller deviation and higher matching flexibility, so the group with size deviation close to the mean of the normal distribution is selected as the intermediate group component. When the number of components in the intermediate group components in the outer ring waiting area exceeds the set threshold, the excess accessories are preferentially assembled with other intermediate group components, and the redundant space in the waiting area is used to reduce the density of the intermediate group components to avoid backlog of accessories of a single group. The system monitors the status of each group number in the waiting area in real time and allocates accessories to low-density groups according to priority to ensure matching efficiency and production continuity. When the standard deviation of the group number difference of unmatched components in the inner and outer ring waiting areas exceeds the threshold after multiple consecutive traversals, the interrupt processing mechanism is triggered and the assembly strategy is adjusted.
[0124] Step nine: Identify the intermediate group assembly by statistically analyzing the size deviation of the components to determine the range of the intermediate group assembly. For example, the size deviation of the outer ring intermediate group assembly may be [9.4, 14.0] μm, and the inner ring intermediate group assembly may be [-19.9, -13.3] μm. Label these intermediate group assemblies in the production system to facilitate quick identification and processing during assembly, expand the matching range from a single group number to multiple group numbers, and significantly reduce interruptions caused by insufficient components for a certain group number.
[0125] Figure 12 The overall assembly quantity of the traditional method and the intermediate group assembly assembly method under different grouping numbers is shown. It can be seen that when the grouping number is 7 to 10 groups, the assembly quantity of the intermediate group assembly assembly method is higher than that of the traditional method. In particular, when the grouping number increases, the assembly quantity of the intermediate group assembly assembly method has more obvious advantages, further proving its effectiveness. Real-time monitoring of group number status and priority allocation of components can timely adjust the assembly sequence to avoid production interruptions caused by congestion in the waiting area, ensuring stable operation of the production line. The system dynamically adjusts the assembly strategy through intelligent algorithms to ensure efficient production rhythm under different working conditions. Optimizing the intermediate group assembly assembly process enables more components to complete assembly within the specified clearance range, improving overall assembly success rate and thus improving bearing production efficiency. Experimental data show that after applying the intermediate group assembly assembly method, the assembly success rate is significantly improved, and the production efficiency is effectively improved.
[0126] After the intermediate group assembly components are matched across groups, the initial clearance may not meet the production standards due to the accumulation of size deviation. To solve this problem, the initial clearance needs to be accurately controlled through rolling body adjustment technology. After assembly is completed, the system measures the actual size of the inner ring, outer ring, and rolling body, calculates the initial clearance, and selects different specifications of rolling bodies for adjustment based on the deviation of the initial clearance. Rolling bodies usually have multiple specifications such as [-8, -4, -2, 0, 2, 4, 8] to choose from. After rolling body adjustment, the optimal clearance range that meets the assembly requirements can be stably controlled, thereby reducing the interruption frequency and improving the production efficiency while meeting the production requirements.
[0127] For the intermediate group assembly assembly method, Figure 7 The assembly efficiency heat map under different waiting area channel numbers (M) and grouping numbers (N) is shown. It can be seen that when the intermediate assembly method is applied to grouping numbers of 10 to 14 groups and waiting area channel numbers of 12 to 13 channels, the assembly efficiency is significantly improved, effectively avoiding congestion in the waiting area. Figure 11 The interruption frequency of the traditional method and the intermediate group assembly assembly method is compared. The interruption frequency of the traditional method is about 5.8 times, while the interruption frequency of the intermediate group assembly assembly method is reduced to about 2.9 times, with a reduction of about 50%. This indicates that the intermediate group assembly assembly method can effectively reduce production interruptions.
[0128] Step 10: After the intermediate group components are matched across groups, the initial clearance may not meet the production standards due to the accumulation of dimensional deviations. To solve this problem, it is necessary to accurately control the clearance through rolling element adjustment technology. After the fitting is completed, the system will measure the actual dimensions of the inner ring, outer ring and rolling element, and calculate the initial clearance. According to the deviation of the initial clearance, rolling elements of different specifications are selected for adjustment. Rolling elements are usually available in a variety of specifications [-8, -4, -2, 0, 2, 4, 8]. After rolling element adjustment, the optimal clearance range that meets the fitting can be stably controlled, thereby reducing the interruption frequency, improving production efficiency and meeting production requirements.
[0129] The implementation principle of the method for determining the minimum number of samples and interruption processing for rolling bearing assembly in an embodiment of the present application is as follows: the terminal device first obtains the inner and outer ring size deviation distribution information and the bearing service optimal clearance information corresponding to the bearings to be assembled of any production batch, and then quickly determines the inner and outer ring size deviation range grouping information of the bearings to be assembled based on the inner and outer ring size deviation distribution information and the bearing service optimal clearance information. Then, based on the number of waiting area silo lanes of the bearing assembly equipment and the inner and outer ring size deviation range grouping information of the bearings to be assembled, the assembly failure probability information corresponding to the bearings to be assembled in the production batch is accurately determined. Then, based on the number of waiting area silo lanes and the inner and outer ring size deviation range grouping information corresponding to each production batch, the minimum number of samples information is effectively determined. Finally, based on the minimum number of samples information and the assembly failure probability information, the bearing assembly selection process is optimized to generate optimized process information to prioritize matching excess accessories, thereby avoiding the situation where the waiting area silo is full due to the inability to find suitable accessories, resulting in the interruption or jamming of the assembly process, thereby effectively improving production efficiency.
[0130] It should be noted that the size of the serial numbers of the steps in the above embodiments does not mean the order of execution. The execution order of each process should be determined by its function and internal logic, and should not constitute any limitation on the implementation process of the embodiments of this application.
[0131] The embodiment of the present application also provides a system for determining the minimum number of samples for rolling bearing assembly and interruption processing. For ease of description, only the parts related to the present application are shown, such as Figure 13 As shown, the system 130 includes:
[0132] Inner and outer ring size deviation distribution information acquisition module 131: used to obtain the inner and outer ring size deviation distribution information and the bearing service optimal clearance information corresponding to any production batch of bearings to be assembled;
[0133] Inner and outer ring size deviation range grouping information determination module 132: used to determine the inner and outer ring size deviation range grouping information of the bearing to be assembled based on the inner and outer ring size deviation distribution information and the bearing service optimal clearance information;
[0134] The assembly failure probability information determination module 133 is used to determine the assembly failure probability information corresponding to the bearings to be assembled in the production batch according to the number of silo lanes in the waiting area of the bearing assembly equipment and the grouping information of the inner and outer ring size deviation ranges of the bearings to be assembled;
[0135] Minimum sample number information determination module 134: used to determine the minimum sample number information according to the number of silo lanes in the waiting area and the inner and outer ring size deviation range grouping information corresponding to each production batch;
[0136] Optimization process information generation module 135: is used to optimize the bearing fitting and selection process based on the minimum sample number information and the fitting failure probability information, and generate optimization process information, wherein the optimization process information is used to indicate that when the fitting process is interrupted, the inner and outer ring intermediate group components are selected according to the intermediate group component fitting processing method to give priority to matching excess accessories.
[0137] It should be noted that the information interaction, execution process and other contents between the above modules are based on the same concept as the method embodiment of this application. Their specific functions and technical effects can be found in the method embodiment part and will not be repeated here.
[0138] The present application also provides a terminal device, such as Figure 14 As shown, the terminal device 140 of this embodiment includes: a processor 141, a memory 142, and a computer program 143 stored in the memory 142 and executable on the processor 141. When the processor 141 executes the computer program 143, the steps in the above-mentioned minimum sample number determination and interrupt processing method embodiment are implemented, for example Figure 1 Steps S100 to S500 shown; or, when the processor 141 executes the computer program 143, the functions of each module in the above device are realized, such as Figure 13 Functions of modules 131 to 135 are shown.
[0139] The terminal device 140 can be a computing device such as a desktop computer, a notebook, a PDA, or a cloud server. The terminal device 140 includes but is not limited to a processor 141 and a memory 142. Those skilled in the art will understand that Figure 14 It is merely an example of the terminal device 140 and does not constitute a limitation on the terminal device 140. The terminal device 140 may include more or fewer components than shown in the figure, or a combination of certain components, or different components. For example, the terminal device 140 may also include input and output devices, network access devices, buses, etc.
[0140] Among them, the processor 141 can be a central processing unit (CPU), or other general-purpose processors, digital signal processors (DSP), application-specific integrated circuits (ASIC), field-programmable gate arrays (FPGA) or other programmable logic devices, discrete gate or transistor logic devices, discrete hardware components, etc.; the general-purpose processor can be a microprocessor or the processor can also be any conventional processor, etc.
[0141] The memory 142 can be an internal storage unit of the terminal device 140, such as a hard disk or memory of the terminal device 140, or the memory 142 can be an external storage device of the terminal device 140, such as a plug-in hard disk, a smart memory card (Smart Media Card, SMC), a secure digital (Secure Digital, SD) card, a flash card (FlashCard), etc. equipped on the terminal device 140; further, the memory 142 can also include both the internal storage unit of the terminal device 140 and the external storage device, and the memory 142 can also store the computer program 143 and other programs and data required by the terminal device 140, and the memory 142 can also be used to temporarily store data that has been output or is to be output.
[0142] One embodiment of the present application further provides a computer-readable storage medium storing a computer program, which, when executed by a processor, can implement the steps of each of the above-mentioned method embodiments. The computer program includes computer program code, which can be in source code form, object code form, executable file, or some intermediate form; the computer-readable medium can include: any entity or device capable of carrying computer program code, recording medium, USB flash drive, mobile hard drive, magnetic disk, optical disk, computer memory, read-only memory (ROM), random access memory (RAM), electrical carrier signal, telecommunication signal, and software distribution medium.
[0143] The above are all preferred embodiments of the present application, and are not intended to limit the scope of protection of the present application. Therefore, any equivalent changes made based on the methods, principles, and structures of the present application should be included in the scope of protection of the present application.
Claims
1. A method for determining the minimum number of samples and interrupting the processing of rolling bearing assembly, characterized in that: The method comprises: Obtain the inner and outer ring size deviation distribution information and the optimal bearing service clearance information corresponding to any production batch of bearings to be assembled; Determining grouping information of the inner and outer ring size deviation ranges of the bearing to be assembled based on the inner and outer ring size deviation distribution information and the bearing service optimal clearance information; Determining the assembly failure probability information corresponding to the bearings to be assembled in the production batch according to the number of silo lanes in the waiting area of the bearing assembly equipment and the grouping information of the inner and outer ring size deviation ranges of the bearings to be assembled; Determine the minimum number of samples based on the number of silo lanes in the waiting area and the inner and outer ring size deviation range grouping information corresponding to each production batch; Based on the minimum sample number information and the bearing assembly failure probability information, the bearing assembly selection process is optimized to generate optimized process information, wherein the optimized process information is used to indicate that when the assembly process is interrupted, the inner and outer ring intermediate components are selected according to the intermediate component assembly processing method to preferentially match excess accessories; The step of determining the grouping information of the inner and outer ring size deviation ranges of the bearing to be assembled based on the inner and outer ring size deviation distribution information and the bearing service optimal clearance information includes: Constructing a probability density function based on the inner and outer ring size deviation distribution information; Based on the bearing's optimal service clearance information, the probability density function is divided into equal probability groups to generate inner and outer ring size deviation range grouping information; Accordingly, before determining the assembly failure probability information corresponding to the bearings to be assembled in the production batch based on the number of silo lanes in the waiting area of the bearing assembly equipment and the grouping information of the inner and outer ring size deviation ranges of the bearings to be assembled, the method further includes: Acquire maximum value information of waiting for pairing, wherein the maximum value information of waiting for pairing is used to describe the maximum value of the inner and outer ring components of the bearing to be assembled that are waiting for pairing when they are not paired; Determine the maximum waiting pairing value information as the number of silo lanes in the waiting area; The minimum number of samples is determined based on the number of silo lanes in the waiting area and the grouping information of the inner and outer ring size deviation ranges corresponding to each production batch, including: According to the number of silo lanes in the waiting area, the number of lanes in the waiting area is determined, and according to the grouping information of the inner and outer ring size deviation range, the number of groups is determined; Input the number of silo lanes in the waiting area and the grouping information of the inner and outer ring size deviation ranges into a preset fitting success rate calculation function to determine the fitting success rate information; Determining minimum sample number information based on the set success rate information, wherein the minimum sample number information is used to describe the minimum number of tracks required under the condition that the set success rate information is greater than a specified probability; The calculation function of the success rate of the nesting is: , Where, For the success rate information of the combination, is the failure probability information of the same group, is the probability of failure across combinations, is the number of groups, For the waiting area lane number information, is the number of combinations, is the number of combinations of choosing 2 from 5 elements, is the starting value of the first set, It is the starting value of the second set.
2. The method according to claim 1, characterized in that The assembly process interruption is used to describe the interruption situation where the assembly cannot continue because the inner and outer ring accessories fill the waiting area and there are no matching accessories with the same group number; the intermediate group assembly processing method is used to describe the method of cross-group assembly of the target group under the condition of meeting the optimal clearance range.
3. The method according to claim 1, characterized in that After optimizing the bearing assembly selection process based on the minimum sample number information and the assembly failure probability information to generate optimized process information, the method further includes: Get initial clearance information; Comparing the initial clearance information with the clearance upper limit information, wherein the clearance upper limit information is 23 microns; If the initial clearance information is greater than the clearance upper limit information, determining the first rolling body as the pre-selected rolling body, wherein the size of the first rolling body is greater than the size of the current rolling body; Comparing the initial clearance information with the clearance lower limit information, wherein the clearance lower limit information is 6 microns; If the initial clearance information is less than the clearance lower limit information, the second rolling body is determined to be the primary rolling body, wherein the size of the second rolling body is smaller than the size of the current rolling body; Determining whether the clearance corresponding to the preliminarily selected rolling element is within a specified fitting range, wherein the specified fitting range is 6 μm to 23 μm; If the clearance corresponding to the preselected rolling element is within the specified range for fitting, the preselected rolling element is determined to be the fitting rolling element. Otherwise, a rolling element of another specification is re-determined as the preselected rolling element until the clearance corresponding to the preselected rolling element is within the specified range for fitting.
4. The method according to claim 1, wherein The value of the minimum sample number information is at least twice the group number information.
5. A system for determining the minimum number of samples and interrupting the processing of rolling bearing assembly, characterized in that: The system comprises: Inner and outer ring size deviation distribution information acquisition module: used to obtain the inner and outer ring size deviation distribution information and the bearing service optimal clearance information corresponding to any production batch of bearings to be assembled; Inner and outer ring size deviation range grouping information determination module: used to determine the inner and outer ring size deviation range grouping information of the bearing to be assembled based on the inner and outer ring size deviation distribution information and the bearing service optimal clearance information; A module for determining the probability of failure of assembly: used to determine the probability of failure of assembly corresponding to the bearings to be assembled in the production batch according to the number of silo lanes in the waiting area of the bearing assembly equipment and the grouping information of the size deviation range of the inner and outer rings of the bearings to be assembled; Minimum sample number information determination module: used to determine the minimum sample number information based on the number of silo lanes in the waiting area corresponding to each production batch and the grouping information of the inner and outer ring size deviation range; An optimization process information generation module is configured to optimize the bearing assembly and selection process based on the minimum sample number information and the assembly failure probability information, and generate optimization process information, wherein the optimization process information is used to indicate that when the assembly process is interrupted, the inner and outer ring intermediate components are selected according to the intermediate component assembly processing method to preferentially match excess accessories; The inner and outer ring size deviation range grouping information determination module includes: Constructing a probability density function based on the inner and outer ring size deviation distribution information; Based on the bearing's optimal service clearance information, the probability density function is divided into equal probability groups to generate inner and outer ring size deviation range grouping information; Accordingly, the system further comprises: Acquire maximum value information of waiting for pairing, wherein the maximum value information of waiting for pairing is used to describe the maximum value of the inner and outer ring components of the bearing to be assembled that are waiting for pairing when they are not paired; Determine the maximum waiting pairing value information as the number of silo lanes in the waiting area; The minimum sample number information determination module includes: According to the number of silo lanes in the waiting area, the number of lanes in the waiting area is determined, and according to the grouping information of the inner and outer ring size deviation range, the number of groups is determined; Input the number of silo lanes in the waiting area and the grouping information of the inner and outer ring size deviation ranges into a preset fitting success rate calculation function to determine the fitting success rate information; Determining minimum sample number information based on the set success rate information, wherein the minimum sample number information is used to describe the minimum number of tracks required under the condition that the set success rate information is greater than a specified probability; The calculation function of the success rate of the nesting is: , Where, For the success rate information of the combination, is the failure probability information of the same group, is the probability of failure across combinations, is the number of groups, For the waiting area lane number information, is the number of combinations, is the number of combinations of choosing 2 from 5 elements, is the starting value of the first set, It is the starting value of the second set.
6. A terminal device comprising a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein: When the processor executes the computer program, the steps of the method according to any one of claims 1 to 4 are implemented.
7. A computer-readable storage medium storing a computer program, characterized in that: When the computer program is executed by a processor, the steps of the method according to any one of claims 1 to 4 are implemented.
Citation Information
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