A calculation method and system for the number of teeth of a tower-type combined diamond circular saw blade

By calculating the cross-sectional area of ​​undeformed chips, the number of sawtooths of tower-type combined circular saw blades is solved, and the problem of different sawtooth life of different sheets is achieved, more efficient tool selection and lower waste are achieved, and production efficiency and processing quality are improved.

CN115292836BActive Publication Date: 2025-06-17SHANDONG UNIV
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Patent Information

Application Number
CN202210877768.1
Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
Filing Date
2022-07-25
Publication Date
2025-06-17
Estimated Expiration
2042-07-25

AI Technical Summary

Technical Problem

The sawing life of tower-type combined circular saw blades is different in different pieces, resulting in limited production efficiency, processing quality and cost. It is difficult for the prior art to accurately select the number of teeth of combined circular saw blades, resulting in serious waste of diamond circular saw blade tools.

Method used

A method and system for calculating the number of sawtooths of tower-type combined circular saw blades based on the same amount of cross-sectional area of ​​undeformed chips is proposed. By obtaining saw blade diameter and working condition data, the contact arc length, maximum undeformed chip thickness and undeformed chip cross-sectional area are calculated, and the number of sawtooths is determined.

Benefits of technology

The simplicity and operability of the calculation process are realized, and multiple backup tooth count solutions are provided to help accurately select the number of teeth of the combined circular saw blade, reducing tool waste, and improving the overall life and production efficiency of the combined saw.

✦ Generated by Eureka AI based on patent content.

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Abstract

The present invention belongs to the technical field of optimization of processing tools, and provides a method and a system for calculating the number of teeth of a tower-type combined diamond circular saw blade. In the present invention, based on the working condition data such as the angular velocity, feed rate, sawing depth, and sawing speed of the saw blade, the contact arc length and the maximum undeformed chip thickness are calculated, and then the cross-sectional area of the undeformed chip is calculated based on the contact arc length and the maximum undeformed chip thickness. Finally, the number of teeth of the saw blade is determined through the cross-sectional area of the undeformed chip, and a method for calculating the number of teeth of the saw blade with a simple, convenient, good operability, and easy design calculation process is obtained, and multiple alternative tooth number schemes can be obtained, providing a basis for accurately selecting the number of teeth of the combined circular saw blade.
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Description

Technical Field

[0001] The present invention belongs to the technical field of optimization of processing tools, and particularly relates to a method and system for calculating the number of teeth of a tower-type combined diamond circular saw blade. Background Art

[0002] With the rapid development of the stone processing industry and modern industry, diamond circular saw blades have been widely used in the cutting and processing fields of non-metallic materials such as stone, cement, glass, and ceramic products. A diamond circular saw blade consists of diamond teeth and a circular saw blade body. The tower-type combined circular saw blade is widely used in the stone plate processing field due to its high efficiency. However, the different tooth lives of the saw blades of different bodies in the combined saw greatly limit the production efficiency, processing quality, and cost of the combined saw.

[0003] The inventor found that the tower-type combined diamond circular saw blades widely used in the market at present mainly include 4 sets, 8 sets, etc., and the largest set can reach 26 pieces in combination. There are problems that the tooth wear degrees of the saw teeth of circular saw blades with different diameters are different. The saw teeth of the circular saw blade with a smaller outer diameter specification are more severely worn than those with a larger outer diameter specification, resulting in frequent replacement of the circular saw blade with a smaller outer diameter specification, which affects the work efficiency and processing cost. The selection of the number of teeth is the key to alleviating the problem of different tooth wears of circular saw blades with different diameters. In existing projects, it is a major problem that the number of teeth of the combined circular saw blade cannot be accurately selected, resulting in serious waste of diamond circular saw blade tools, greatly reducing the overall life of the combined saw, increasing the cost of replacing the diamond circular saw blade, and seriously affecting the production efficiency. Summary of the Invention

[0004] In order to solve the above problems, the present invention provides a method and system for calculating the number of teeth of a tower-type combined diamond circular saw blade, which belongs to a method and system for calculating the number of teeth of a tower-type combined diamond circular saw blade based on the equal cross-sectional area of the undeformed chip, and provides a basis for the tooth number design of the tower-type combined diamond circular saw blade. This design calculation method performs geometric calculations on the undeformed chip of the diamond particles on a single tooth of the diamond circular saw blade during the process of sawing stone, and has the characteristics of simple calculation, easy industrial implementation, and beneficial to actual promotion.

[0005] In order to achieve the above object, the present invention is realized by the following technical solutions:

[0006] In the first aspect, the present invention provides a method for calculating the number of teeth of a tower-type combined diamond circular saw blade, including:

[0007] Obtaining the saw blade diameter, as well as the angular velocity, feed speed, sawing depth, and sawing speed of the saw blade under a preset working condition;

[0008] After adding 1 to the ratio of the feed speed to the sawing speed, and then multiplying by the square root of the product of the sawing depth and the saw blade diameter, the contact arc length is obtained;

[0009] The maximum undeformed chip thickness is calculated according to the maximum undeformed chip thickness equation;

[0010] Calculate half of the product of the contact arc length and the maximum undeformed chip thickness to obtain the cross-sectional area of the undeformed chip;

[0011] Using the product of the first constant multiplied by pi, the sawtooth width, the three-halves power of the feed rate, and the one-half power of the saw blade diameter as the numerator, and using the second constant, the total number of diamond particles per unit width on the sawtooth, the proportion of diamond particles participating in sawing in the cross-section to the total number of particles in the cross-section, the tangent value of the angle rotated by the saw blade, the spindle angular velocity, and the calculated cross-sectional area of the undeformed chip as the denominator; using the ratio obtained by the denominator and the numerator as the first multiplier; using the ratio of the product of the third constant multiplied by the feed rate to the product of the spindle angular velocity and the saw blade diameter, and adding 1 squared as the second multiplier; calculating the number of saw blade teeth by multiplying the first multiplier and the second multiplier.

[0012] Further, the saw blade is a tower combined diamond circular saw blade composed of circular saw blades of multiple specifications of diameters.

[0013] Further, using the fourth constant, the sawtooth width, pi, the feed rate, and the one-half power of the sawing depth as the numerator, and using the total number of diamond particles per unit width on the sawtooth, the proportion of diamond particles participating in sawing in the cross-section to the total number of particles in the cross-section, the reference number of teeth, the spindle angular velocity, the tangent value of the angle rotated by the saw blade, and the saw blade diameter as the denominator; calculating the maximum undeformed chip thickness by taking the square root of the ratio of the numerator and the denominator.

[0014] Further, the reference number of teeth is the average value or the median value of the number of teeth of standard circular saw blades of multiple specifications in the tower combined diamond circular saw blade composed of circular saw blades of multiple specifications of diameters.

[0015] Further, the first constant is 3, and the second constant and the third constant are 2.

[0016] Further, within a certain outer diameter saw blade range, the maximum cross-sectional area of the undeformed chip corresponding to the number of saw blade teeth is optimal.

[0017] Further, adjust the calculated number of saw blade teeth to an even number; for the obtained number of saw blade teeth being odd, take the odd number plus one or minus one as the final number of saw blade teeth.

[0018] In a second aspect, the present invention also provides a system for calculating the number of teeth of a tower combined diamond circular saw blade, including:

[0019] A data acquisition module, configured to: obtain the saw blade diameter, as well as the angular velocity, feed rate, sawing depth, and sawing speed of the saw blade under a preset working condition;

[0020] A contact arc length calculation module, configured to: after adding 1 to the ratio of the feed rate to the sawing speed, and then multiplying by the square root of the product of the sawing depth and the saw blade diameter, obtain the contact arc length;

[0021] A maximum undeformed chip thickness calculation module, configured to: calculate the maximum undeformed chip thickness according to the maximum undeformed chip thickness equation;

[0022] An undeformed chip cross-sectional area calculation module, configured to: calculate half of the product of the contact arc length and the maximum undeformed chip thickness to obtain the undeformed chip cross-sectional area;

[0023] A saw blade tooth number calculation module, configured to: use the product of a first constant and pi, the tooth width, the three-halves power of the feed rate, and the square root of the saw blade diameter as the numerator, and use a second constant, the total number of diamond particles per unit width on the tooth, the proportion of diamond particles participating in sawing in the cross-section to the total number of particles in the cross-section, the tangent value of the angle rotated by the saw blade, the spindle angular velocity, and the calculated undeformed chip cross-sectional area as the denominator; use the ratio obtained by the denominator and the numerator as the first multiplier; use the ratio of the product of a third constant and the feed rate to the product of the spindle angular velocity and the saw blade diameter, and then add 1 squared as the second multiplier; calculate the product of the first multiplier and the second multiplier to obtain the saw blade tooth number.

[0024] In a third aspect, the present invention further provides a computer-readable storage medium, on which a computer program is stored, and when the program is executed by a processor, the steps of the tower-type combined diamond circular saw blade tooth number calculation method described in the first aspect are implemented.

[0025] In a fourth aspect, the present invention further provides an electronic device, including a memory, a processor, and a computer program stored on the memory and executable on the processor. When the processor executes the program, the steps of the tower-type combined diamond circular saw blade tooth number calculation method described in the first aspect are implemented.

[0026] Compared with the prior art, the beneficial effects of the present invention are:

[0027] 1. Based on the working condition data such as the angular velocity, feed rate, sawing depth, and sawing speed of the saw blade in the present invention, the contact arc length and the maximum undeformed chip thickness are calculated. Then, based on the contact arc length and the maximum undeformed chip thickness, the cross-sectional area of the undeformed chip is calculated. Finally, the number of saw blade teeth is determined through the cross-sectional area of the undeformed chip, obtaining a calculation method for the number of saw blade teeth that is simple, convenient, highly operable, and easy to design. Multiple alternative tooth number schemes can be obtained, providing a basis for accurately selecting the number of teeth of the combined circular saw blade.

[0028] 2. During the process of using a circular saw blade to saw hard stone in the present invention, the load-bearing situation of the circular saw blade teeth is analyzed by analyzing the geometric characteristics in the sawing arc area; during the sawing process, the length of the sawing arc area, the maximum undeformed chip thickness, and the cross-sectional area of the undeformed chip are calculated to determine the tooth number function model, with sufficient theoretical basis; the analysis and calculation of the tooth number based on the cross-sectional area of the undeformed chip, combined with the tooth rounding scheme of the saw blade, meet the design requirements, and the principle for selecting the number of teeth of the combined circular saw blade is proposed.

[0029] 3. The present invention takes into account the load-bearing capacity of the diamond on the circular saw blade teeth, designs the tooth number function model through the cross-sectional area of the undeformed chip, and analyzes that the chip amount cut by a single diamond in one sawing under the working condition environment is approximately the load-bearing capacity of the diamond. BRIEF DESCRIPTION OF THE DRAWINGS

[0030] The accompanying drawings forming a part of this embodiment are used to provide a further understanding of this embodiment. The schematic embodiments and descriptions thereof of this embodiment are used to explain this embodiment and do not constitute an improper limitation to this embodiment.

[0031] Figure 1 It is a flowchart of Embodiment 1 of the present invention;

[0032] Figure 2 It is a schematic diagram of sawing processing using a tower-type combined circular saw blade in Embodiment 1 of the present invention;

[0033] Figure 3 It is a schematic diagram of the maximum cross-sectional area of the undeformed chip in Embodiment 1 of the present invention. DETAILED DESCRIPTION OF THE EMBODIMENTS

[0034] The present invention will be further described below in conjunction with the accompanying drawings and embodiments.

[0035] It should be noted that the following detailed description is exemplary and is intended to provide further explanation of the present application. Unless otherwise specified, all technical and scientific terms used herein have the same meaning as commonly understood by those of ordinary skill in the technical field to which this application belongs.

[0036] The tower - type combined diamond circular saw blade refers to a combination of circular saw blades with various diameters. They are installed on the main shaft and fixed flange of the same sawing machine in ascending or descending order according to the outer diameter specifications, and are used as a tool for cutting plates. Since the tower - type combined diamond circular saw blades are coaxially installed on the sawing machine main shaft, the diamond circular saw blades from small to large or from large to small have the same rotational speed and feed speed within the same time. During the process of sawing rough blocks or plates, the diamond circular saw blades have different service lives due to different diameters. It is mainly used for cutting granite and other stone rough blocks and marble plates, improving the yield rate of rough blocks, saving power consumption, and improving cutting efficiency and plate precision.

[0037] Embodiment 1:

[0038] This embodiment provides a method for calculating the number of teeth of a tower - type combined diamond circular saw blade, including:

[0039] Obtain the saw blade diameter, as well as the angular velocity, feed speed, sawing depth, and sawing speed of the saw blade under preset working conditions;

[0040] After adding 1 to the ratio of the feed speed to the sawing speed, and then multiplying by the square root of the product of the sawing depth and the saw blade diameter, the contact arc length is obtained;

[0041] According to the maximum undeformed chip thickness equation, calculate the maximum undeformed chip thickness;

[0042] Calculate half of the product of the contact arc length and the maximum undeformed chip thickness to obtain the cross - sectional area of the undeformed chip;

[0043] Take the product of the first constant and pi, the saw tooth width, the three - halves power of the feed speed, and the square root of the saw blade diameter as the numerator, and take the second constant, the total number of diamond particles per unit width on the saw tooth, the proportion of diamond particles participating in sawing in the cross - section to the total number of particles in the cross - section, the tangent value of the angle rotated by the saw blade, the spindle angular velocity, and the calculated cross - sectional area of the undeformed chip as the denominator; take the ratio obtained from the denominator and the numerator as the first multiplier; take the ratio of the product of the third constant and the feed speed to the product of the spindle angular velocity and the saw blade diameter, and then add 1 squared as the second multiplier; calculate the product of the first multiplier and the second multiplier to obtain the number of saw blade teeth.

[0044] As Figure 1 shown, the main steps implemented in this embodiment are:

[0045] S1. Determine the diameter of the circular saw blade matrix and the reference number of teeth according to the existing standard dimensions;

[0046] The diameter of the substrate can be understood as the average value or the median value of the diameters of standard circular saw blades of various specifications in a tower-type combined diamond circular saw blade composed of circular saw blades of various specifications; the reference number of teeth is the average value or the median value of the number of teeth of standard circular saw blades of various specifications in a tower-type combined diamond circular saw blade composed of circular saw blades of various specifications.

[0047] S2. Determine the rotational speed n of the diamond circular saw blade, the workpiece feed speed v f and the sawing depth a p etc. Here, the rotational speed n of the diamond circular saw blade, the workpiece feed speed v f and the sawing depth a p etc. can be obtained through conventional design or directly measured according to relevant actual working conditions as the relevant parameters of the preset working conditions.

[0048] S3. Calculate the length of the sawing arc zone and the maximum undeformed chip thickness by geometric calculation of the undeformed chip according to the sawing working conditions.

[0049] S3.1. Calculate the length of the sawing arc zone according to the sawing working conditions:

[0050] The diameter of the substrate or the actually measured diameter can be used as the saw blade diameter d s , the circular saw blade rotates at an angular velocity n or an angular velocity ω, and moves relative to the workpiece at a feed speed v f . The sawing depth of the circular saw blade for the granite workpiece is a p . In the actual process of sawing granite, a p is very small, and the sawing speed v s is much greater than the feed speed v f . Therefore Figure 3 the sawing arc in is exaggerated. Establish an X-Y coordinate system with point D' as the origin. When the circular saw blade rotates through an angle θ', its horizontal and vertical movements are both:

[0051]

[0052] The contact arc length can be obtained from the sawing path; as Figure 3 shown, the horizontal distance s between the sawing of the granite workpiece by two adjacent saw teeth is s = Lv f / v s . L represents the distance between the first row of diamonds of two adjacent diamond saw teeth. The total contact arc length can be obtained by integrating the angle 0→θ:

[0053]

[0054] In the formula, dl k is obtained from the sawing path equation.

[0055]

[0056] Since θ is a small angle, the quantities of its second power and higher powers are neglected compared with the first quantity. L represents the distance between two adjacent cutting edges, that is, the distance between two adjacent diamond particles. Therefore, the contact arc length can be simplified as:

[0057]

[0058] S3.2. Calculate the maximum undeformed chip thickness according to the undeformed chip geometry:

[0059] According to the grinding theory, the diamond particles on the cutting section are defined as the cutting edges, and the maximum undeformed chip thickness removed by the cutting edges is expressed as the maximum undeformed chip thickness. Establish the h m model:

[0060]

[0061] Through the analysis of the chip geometry, the maximum undeformed chip thickness formed when sawing granite is obtained. Among them, C i = C g ηλ / (l s ), C g is the total number of diamond particles per unit width on the saw tooth, η is the proportion of diamond particles participating in sawing in the cross section to the total number of particles in the cross section. Since the sawing process is intermittent machining, λ is expressed as the intermittency ratio, where λ = l s / (l s + l w ), l s is the saw tooth length, B is the saw tooth width, z is the number of teeth, ω is the main shaft angular velocity, r is the half included angle of the diamond particle point cutting surface shape, considered by a triangular cross section, and expressed as tanθ in this embodiment. The maximum undeformed chip thickness of the diamond particle on the section is defined as h mi . Substitute C g into the following formula, and the maximum undeformed chip thickness equation can be expressed as:

[0062]

[0063] S4. Calculate the cross-sectional area of the undeformed chip through the sawing arc zone length and the maximum undeformed chip thickness;

[0064] During the sawing process of diamond particles, through theoretical analysis, the cross-sectional area of the undeformed chip is simplified to a right triangle with the sawing arc zone length as the height and the maximum undeformed chip thickness as the base. Then, the calculation of the cross-sectional area of the undeformed chip can be obtained through the undeformed chip thickness and the sawing arc length:

[0065]

[0066] S5. Calculate the tooth number function model based on the geometric parameters of the saw teeth practical in engineering;

[0067] According to the previous analysis and calculation, the load-bearing work amount of a single diamond particle is approximately expressed by the cross-sectional area of the undeformed chip. Select the cross-sectional area corresponding to the number of teeth of a certain diamond circular saw blade as the benchmark. Therefore, the tooth number function model can be obtained through the cross-sectional area of the undeformed chip of the diamond particle:

[0068]

[0069] S6. Determine the cross-sectional area of the undeformed chip according to the reference circular saw blade of the combined blade set;

[0070] S7. Calculate the number of teeth of the combined blade through the tooth number function model;

[0071] In a specific embodiment, within the range of a diamond circular saw blade with a certain outer diameter, the maximum cross-sectional area of the undeformed chip corresponding to the number of teeth of a diamond circular saw blade with a certain outer diameter is the optimal. Then, based on the existing data of saw tooth engineering measurement, C g = 60, η = 0.667, tanθ = 1.714. The machining parameters are selected as the commonly used sawing machining parameters in engineering. Secondly, determine the number of teeth of the reference diameter circular saw blade, calculate the cross-sectional area of the undeformed chip corresponding to its reference diamond circular saw blade, and calculate the number of teeth using the sawing cross-sectional area of the undeformed chip.

[0072] S8. According to the principle that the number of teeth of the circular saw blade should be an integer, round and fine-tune the number of teeth;

[0073] For the convenience of actual production, the calculated number of teeth needs to be adjusted to an even number, and then this even number is taken as the designed number of teeth; for the case where the integer part of the calculated number of teeth is odd, either adding one or subtracting one from the odd number is taken as the selected number of teeth as the final result.

[0074] S9. Judge whether the number of teeth meets the design requirements. If not, return to step S2; otherwise, take the above-determined number of teeth as the final result.

[0075] This application only assumes that within a certain range of the outer diameter of the diamond circular saw blade, the number of teeth of the diamond circular saw blade corresponding to a certain outer diameter is the optimal. Based on this, the cross-sectional area of the undeformed chip in this case is calculated, and the number of teeth of the diamond circular saw blade with other outer diameters is calculated through the tooth number function model. Then, for the convenience of production, the number of teeth is slightly adjusted as the final design solution to solve the problem of inconsistent service lives of the diamond circular saw blades of the combined saw, improve the overall service life of the combined saw, reduce the cost of replacing the diamond circular saw blade, and improve the production efficiency. Subsequently, the staff can change the sawing process parameters, the tooth structure parameters, and the number of diamond inserts, or change the maximum cross-sectional area of the undeformed chip corresponding to the reference diamond circular saw blade, and calculate the number of teeth of the diamond circular saw blade of the combined saw based on the tooth number function model of the combined saw of this application.

[0076] Example 2:

[0077] On the basis of Example 1, this example provides an explanatory description of a calculation method for the number of teeth of the tower-type combined circular saw blade based on the equal cross-sectional area of the undeformed chip; the commonly used process parameters in the project are selected: the feed rate is 8 m / min; the sawing depth is 5 mm; the rotational speed is 300 rpm / min. A conventional tooth structure is selected, and the number of exposed particles on the tooth surface is 60. Then, the number of teeth for the diamond circular saw blade with a diameter of 26 is implemented as shown in Table 1:

[0078] Figure 1 Implementation of the number of teeth for the diamond circular saw blade with a diameter of 26

[0079]

[0080]

[0081]

[0082] In Table 1, within the range of the outer diameter of the diamond circular saw blade from 400 to 1050 mm, assuming that the diamond circular saw blade with an outer diameter of 550 mm has the highest service life under the above sawing conditions, the diamond circular saw blade with an outer diameter of 550 mm is selected as the reference diameter diamond circular saw blade; within the range of the outer diameter of the diamond circular saw blade from 1100 to 1650 mm, assuming that the diamond circular saw blade with an outer diameter of 1100 mm has the highest service life under the above sawing conditions, the circular saw blade with an outer diameter of 1100 mm is selected as the reference diameter diamond circular saw blade; the cross-sectional area of the undeformed chip corresponding to its reference diamond circular saw blade is brought into the tooth number function model to calculate the number of teeth of other diamond circular saw blades; for the convenience of actual production, according to the fine-tuning tooth number scheme, fine-tuning and rounding are carried out, and an even number is selected as the final result.

[0083] Example 3:

[0084] This example provides a calculation system for the number of teeth of a tower-type combined diamond circular saw blade, including:

[0085] A data acquisition module, configured to: obtain the saw blade diameter, as well as the angular velocity, feed rate, sawing depth, and sawing speed of the saw blade under a preset working condition;

[0086] A contact arc length calculation module, configured to: after adding 1 to the ratio of the feed rate to the sawing speed, and then multiplying by the square root of the product of the sawing depth and the saw blade diameter, obtain the contact arc length;

[0087] A maximum undeformed chip thickness calculation module, configured to: calculate the maximum undeformed chip thickness according to the maximum undeformed chip thickness equation;

[0088] An undeformed chip cross-sectional area calculation module, configured to: calculate half of the product of the contact arc length and the maximum undeformed chip thickness to obtain the undeformed chip cross-sectional area;

[0089] A saw blade tooth number calculation module, configured to: use the product of a first constant and pi, the tooth width, the three-halves power of the feed rate, and the square root of the saw blade diameter as the numerator, and use a second constant, the total number of diamond particles per unit width on the tooth, the proportion of diamond particles participating in sawing in the cross-section to the total number of particles in the cross-section, the tangent value of the angle rotated by the saw blade, the spindle angular velocity, and the calculated undeformed chip cross-sectional area as the denominator; use the ratio obtained by the denominator and the numerator as the first multiplier; use the square of the ratio of the product of a third constant and the feed rate to the product of the spindle angular velocity and the saw blade diameter plus 1 as the second multiplier; calculate the saw blade tooth number by calculating the product of the first multiplier and the second multiplier.

[0090] The working method of the system is the same as that of the tower-type combined diamond circular saw blade tooth number calculation method in Embodiment 1, and will not be elaborated here.

[0091] Embodiment 4:

[0092] This embodiment provides a computer-readable storage medium, on which a computer program is stored, and when the program is executed by a processor, the steps of the tower-type combined diamond circular saw blade tooth number calculation method described in Embodiment 1 are implemented.

[0093] Embodiment 5:

[0094] This embodiment provides an electronic device, including a memory, a processor, and a computer program stored on the memory and executable on the processor. When the processor executes the program, the steps of the tower-type combined diamond circular saw blade tooth number calculation method described in Embodiment 1 are implemented.

[0095] The above are only the preferred embodiments of this embodiment and are not intended to limit this embodiment. For those skilled in the art, this embodiment can have various modifications and changes. Any modification, equivalent replacement, improvement, etc. made within the spirit and principle of this embodiment shall be included within the protection scope of this embodiment.

Claims

1. A method for calculating the number of teeth of a tower-type combined diamond circular saw blade, characterized in that, Including: Obtain the saw blade diameter, as well as the angular velocity, feed rate, sawing depth, and sawing speed of the saw blade under preset working conditions; After adding 1 to the ratio of the feed rate to the sawing speed, multiply the result by the square root of the product of the sawing depth and the saw blade diameter to obtain the contact arc length; Calculate the maximum undeformed chip thickness according to the maximum undeformed chip thickness equation; Calculate half of the product of the contact arc length and the maximum undeformed chip thickness to obtain the undeformed chip cross-sectional area; Use the product of the first constant and pi, the saw tooth width, the three-halves power of the feed rate, and the square root of the saw blade diameter as the numerator, and use the second constant, the total number of diamond particles per unit width on the saw tooth, the proportion of diamond particles participating in sawing in the cross-section to the total number of particles in the cross-section, the tangent value of the angle through which the saw blade rotates, the spindle angular velocity, and the calculated undeformed chip cross-sectional area as the denominator; use the ratio obtained from the denominator and the numerator as the first multiplier; use the square of the ratio of the product of the third constant and the feed rate to the product of the spindle angular velocity and the saw blade diameter plus 1 as the second multiplier; calculate the number of saw blade teeth by multiplying the first multiplier and the second multiplier.

2. The method for calculating the number of teeth of a tower-type combined diamond circular saw blade according to claim 1, characterized in that, The saw blade is a tower-type combined diamond circular saw blade composed of circular saw blades of multiple standard diameters.

3. The method for calculating the number of teeth of a tower-type combined diamond circular saw blade according to claim 1, characterized in that, Use the fourth constant, the saw tooth width, pi, the square root of the feed rate, and the sawing depth as the numerator, and use the total number of diamond particles per unit width on the saw tooth, the proportion of diamond particles participating in sawing in the cross-section to the total number of particles in the cross-section, the reference number of teeth, the spindle angular velocity, the tangent value of the angle through which the saw blade rotates, and the saw blade diameter as the denominator; calculate the maximum undeformed chip thickness by taking the square root of the ratio of the numerator to the denominator.

4. The method for calculating the number of teeth of a tower-type combined diamond circular saw blade according to claim 3, characterized in that, The reference number of teeth is the average value or the median value of the number of teeth of standard circular saw blades of multiple standard diameters in the tower-type combined diamond circular saw blade composed of circular saw blades of multiple standard diameters.

5. The method for calculating the number of teeth of a tower-type combined diamond circular saw blade according to claim 1, characterized in that, The first constant is 3, and the second constant and the third constant are 2.

6. The method for calculating the number of teeth of a tower-type combined diamond circular saw blade according to claim 1, characterized in that, Within a certain outer diameter range of the saw blade, the maximum undeformed chip cross-sectional area corresponding to the number of saw blade teeth is the optimal.

7. The method for calculating the number of teeth of a tower-type combined diamond circular saw blade according to claim 1, characterized in that, Adjust the calculated number of saw blade teeth to an even number; for the case where the obtained number of saw blade teeth is odd, take the odd number plus one or minus one as the final number of saw blade teeth.

8. A system for calculating the number of teeth of a tower-type combined diamond circular saw blade, characterized in that, Including: A data acquisition module configured to: obtain the saw blade diameter, as well as the angular velocity, feed rate, sawing depth, and sawing speed of the saw blade under preset working conditions; A contact arc length calculation module configured to: after adding 1 to the ratio of the feed rate to the sawing speed, multiply the result by the square root of the product of the sawing depth and the saw blade diameter to obtain the contact arc length; A maximum undeformed chip thickness calculation module configured to: calculate the maximum undeformed chip thickness according to the maximum undeformed chip thickness equation; An undeformed chip cross-sectional area calculation module configured to: calculate half of the product of the contact arc length and the maximum undeformed chip thickness to obtain the undeformed chip cross-sectional area; The saw blade tooth number calculation module is configured to: use the product of the first constant multiplied by pi, the tooth width, the three-halves power of the feed rate, and the one-half power of the saw blade diameter as the numerator, and use the second constant, the total number of diamond particles per unit width on the tooth, the proportion of diamond particles participating in sawing in the cross-section to the total number of particles in the cross-section, the tangent value of the angle through which the saw blade rotates, the spindle angular velocity, and the calculated cross-sectional area of the undeformed chip as the denominator; use the ratio obtained by dividing the denominator by the numerator as the first multiplier; use the ratio of the product of the third constant multiplied by the feed rate to the product of the spindle angular velocity and the saw blade diameter, and add 1 squared as the second multiplier; calculate the saw blade tooth number by calculating the product of the first multiplier and the second multiplier.

9. A computer-readable storage medium, on which a computer program is stored, characterized in that, When the program is executed by the processor, it implements the steps of the tower-type combined diamond circular saw blade tooth number calculation method according to any one of claims 1-7.

10. An electronic device, comprising a memory, a processor and a computer program stored on the memory and executable on the processor, characterized in that, When the processor executes the program, it implements the steps of the tower-type combined diamond circular saw blade tooth number calculation method according to any one of claims 1-7.

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