Calculation method for maximum cutting speed of each shaft without resonance of equipment during cutting

Abstract

The invention relates to a method for calculating the maximum cutting speed of each shaft without resonance of equipment during cutting. The method comprises the following steps: determining the type of a load mechanism of each shaft of a laser pipe cutting machine; inherent frequencies of multiple key parts in the laser pipe cutting machine are calculated through finite element analysis software, and the minimum inherent frequency is determined from the multiple inherent frequencies; determining the maximum excitation frequency based on the vibration theory and the minimum inherent frequency; based on the type of the load mechanism and the maximum excitation frequency of each shaft, the maximum cutting speed of each shaft of the laser pipe cutting machine is determined, so that an optimal balance point is found in structural weight reduction and cutting speed improvement, and the test cost is reduced.

Description

Technical Field

[0001] The invention relates to the field of laser cutting, and in particular to a method for calculating the maximum cutting speed of each axis of a device without resonance during cutting. Background Art

[0002] At present, the competition in the field of laser cutting of tubes is particularly fierce, and cost reduction and efficiency improvement have become the mainstream. However, the cutting accuracy of the equipment is greatly affected by the structure. When the excitation frequency is close to the natural frequency of the structure, resonance will occur. At the same time, resonance not only affects the cutting accuracy, but also increases the damage of the equipment, reduces the service life and increases the maintenance cost.

[0003] Also, in order to achieve lightweight laser tube cutting machines, the natural frequency of the structure will be reduced, while increasing the cutting speed will increase the excitation frequency. However, achieving lightweight structures and increasing cutting speeds can easily lead to resonance.

[0004] Therefore, there is an urgent need for a method for calculating the maximum cutting speed of each axis when a laser tube cutting machine cuts tubes without causing resonance in the equipment. Summary of the invention

[0005] 1. Technical issues to be resolved

[0006] In view of the above-mentioned shortcomings and deficiencies of the prior art, the present invention provides a method for calculating the maximum cutting speed of each axis of the equipment without resonance during cutting, which solves the technical problems existing in the prior art of achieving lightweight structure and increasing cutting speed which easily causes resonance.

[0007] (II) Technical solution

[0008] In order to achieve the above object, the main technical solutions adopted by the present invention include:

[0009] In the first aspect, an embodiment of the present invention provides a method for calculating the maximum cutting speed of each axis of the equipment without resonance during cutting, including: determining the load mechanism type of each axis of the laser tube cutting machine; calculating the natural frequencies of multiple key components in the laser tube cutting machine through finite element analysis software, and determining the minimum natural frequency from multiple natural frequencies; determining the maximum excitation frequency based on vibration theory and the minimum natural frequency; determining the maximum cutting speed of each axis of the laser tube cutting machine based on the load mechanism type and the maximum excitation frequency of each axis.

[0010] In a possible embodiment, multiple key components include but are not limited to a bed, a gantry, a chuck base, and a laser head connecting plate.

[0011] In a possible embodiment, the minimum natural frequency and the maximum excitation frequency should satisfy the following relationship:

[0012]

[0013] In the formula, f max Indicates the maximum excitation frequency; f min Indicates the minimum natural frequency.

[0014] In a possible embodiment, when the load mechanism type of the current axis of the laser tube cutting machine is a rack and pinion transmission mechanism, the calculation expression of the maximum cutting speed of the current axis is as follows:

[0015]

[0016] Where, v represents the maximum cutting speed of the current axis; d represents the gear pitch circle diameter; and Z represents the number of gear teeth.

[0017] In a possible embodiment, when the load mechanism type of the current axis of the laser tube cutting machine is a rack and pinion transmission mechanism, the calculation expression of the maximum cutting speed of the current axis is as follows:

[0018]

[0019] Where, v represents the maximum cutting speed of the current axis; m represents the gear module; β represents the helix angle of the gear.

[0020] In a possible embodiment, when the load mechanism type of the current axis of the laser tube cutting machine is a screw transmission mechanism, the calculation expression of the maximum cutting speed of the current axis is as follows:

[0021] V=60sf max ;

[0022] Where, v represents the maximum cutting speed of the current axis; s represents the lead of the screw.

[0023] In a second aspect, an embodiment of the present invention provides a method for detecting the rationality of the structural design of key components in a laser tube cutting machine, comprising: determining the type of load mechanism of each axis of the laser tube cutting machine; calculating the excitation frequency of each axis according to the type of load mechanism of each axis and the cutting speed of the laser tube cutting machine, and determining the maximum excitation frequency from the excitation frequency of each axis; wherein the cutting speed of the laser tube cutting machine is determined by the calculation method of the maximum cutting speed of each axis when the laser tube cutting machine cuts the tube without resonance when the equipment is cut by any of the first aspects; calculating the minimum natural frequency of the key components of the laser tube cutting machine according to the vibration theory and the maximum excitation frequency; calculating the natural frequency of the key components by the finite element method, if the calculated natural frequency of the key components is greater than or equal to the minimum natural frequency, determining that the structural design of the key components is reasonable; if the calculated natural frequency of the key components is less than the minimum natural frequency, sending a prompt message to prompt the user to improve the structure of the key components.

[0024] In a possible embodiment, when the load mechanism type of the current axis of the laser tube cutting machine is a gear rack transmission mechanism, the calculation expression of the excitation frequency of the current axis is as follows:

[0025]

[0026] Where, f represents the excitation frequency of the current axis; Z represents the number of gear teeth; v represents the cutting speed of the current axis; and d represents the pitch circle diameter of the gear.

[0027] In a possible embodiment, when the load mechanism type of the current axis of the laser tube cutting machine is a gear rack transmission mechanism, the calculation expression of the excitation frequency of the current axis is as follows:

[0028]

[0029] Where, f represents the excitation frequency of the current axis; v represents the cutting speed of the current axis; m represents the gear module; β represents the helix angle of the gear.

[0030] In a possible embodiment, when the load mechanism type of the current axis of the laser tube cutting machine is a screw drive, the calculation expression of the excitation frequency of the current axis is as follows:

[0031]

[0032] Where, f represents the excitation frequency of the current axis; v represents the cutting speed of the current axis; s represents the lead of the screw.

[0033] In a possible embodiment, the calculation expression of the minimum natural frequency of the key components of the laser tube cutting machine is as follows:

[0034]

[0035] In the formula, f min represents the minimum natural frequency; f max Indicates the maximum excitation frequency.

[0036] (III) Beneficial effects

[0037] The beneficial effects of the present invention are:

[0038] The embodiment of the present application provides a method for calculating the maximum cutting speed of each axis when a laser tube cutting machine cuts tubes without resonance. The method is based on the finite element method, calculates the natural frequency of key components on the laser tube cutting machine, and calculates the maximum excitation frequency on the laser tube cutting machine through vibration theory. The relationship between the structural frequency and the cutting speed is deduced, which can guide the design and cutting process, and find an optimal balance between lightweight structure and increased cutting speed, thereby reducing the cost of testing.

[0039] In order to make the above-mentioned objectives, features and advantages to be achieved by the embodiments of the present application more obvious and understandable, the following specifically cites preferred embodiments and describes them in detail with reference to the attached drawings. BRIEF DESCRIPTION OF THE DRAWINGS

[0040] In order to more clearly illustrate the technical solutions of the embodiments of the present application, the drawings required for use in the embodiments of the present application will be briefly introduced below. It should be understood that the following drawings only show certain embodiments of the present application and therefore should not be regarded as limiting the scope. For ordinary technicians in this field, other related drawings can be obtained based on these drawings without paying creative work.

[0041] Figure 1 A flow chart showing a method for calculating the maximum cutting speed of each axis of a device without resonance during cutting provided by an embodiment of the present application is shown;

[0042] Figure 2 A flow chart of a method for detecting the rationality of the structural design of key components in a laser tube cutting machine provided in an embodiment of the present application is shown. DETAILED DESCRIPTION

[0043] In order to better explain the present invention and facilitate understanding, the present invention is described in detail below through specific implementation modes in conjunction with the accompanying drawings.

[0044] In order to solve the problem of resonance caused by lightweight structure and increased cutting speed, the embodiment of the present application provides a method for calculating the maximum cutting speed of each axis of a laser tube cutting machine when the equipment does not resonate when cutting tubes. The method is based on the finite element method, calculates the natural frequency of key components on the laser tube cutting machine, and calculates the maximum excitation frequency on the laser tube cutting machine through vibration theory. The relationship between the structural frequency and the cutting speed is deduced, which can guide the design and cutting process, and find an optimal balance between lightweight structure and increased cutting speed, thereby reducing the cost of testing.

[0045] In order to better understand the above technical solution, exemplary embodiments of the present invention will be described in more detail below with reference to the accompanying drawings. Although exemplary embodiments of the present invention are shown in the accompanying drawings, it should be understood that the present invention can be implemented in various forms and should not be limited by the embodiments described herein. On the contrary, these embodiments are provided to enable a clearer and more thorough understanding of the present invention and to fully convey the scope of the present invention to those skilled in the art.

[0046] First embodiment

[0047] See also Figure 1 , Figure 1A flowchart of a method for calculating the maximum cutting speed of each axis when the device does not resonate during cutting provided by an embodiment of the present application is shown. It should be understood that the calculation method can be executed by an electronic device, and the specific device of the electronic device can be set according to actual needs, and the embodiment of the present application is not limited thereto. For example, the electronic device can be a controller of a laser system, etc. Specifically, the calculation method includes:

[0048] Step S110, determining the load mechanism type of each axis of the laser tube cutting machine. The axes of the laser may include an X-axis, a Y-axis, and a Z-axis; the load mechanism type may be a gear rack transmission mechanism or a screw transmission mechanism.

[0049] Step S120, calculating the natural frequencies of multiple key components in the laser tube cutting machine by using finite element analysis software, and determining the minimum natural frequency from the multiple natural frequencies.

[0050] It should be understood that the specific components of the key components can be configured according to actual needs, and the embodiments of the present application are not limited to this.

[0051] Specifically, the key components include but are not limited to the bed, gantry, chuck base and laser head connecting plate.

[0052] Step S130, determining the maximum excitation frequency based on vibration theory and the minimum natural frequency.

[0053] Specifically, according to vibration theory, it is known that the natural frequency of key components should be increased to a level higher than the excitation frequency during cutting. When the frequency is multiple, no resonance will occur. Therefore, the minimum natural frequency and the maximum excitation frequency should satisfy the following relationship:

[0054]

[0055] In the formula, f max Indicates the maximum excitation frequency; f min Indicates the minimum natural frequency.

[0056] Step S140, determining the maximum cutting speed of each axis of the laser tube cutting machine based on the load mechanism type and the maximum excitation frequency of each axis.

[0057] It should be understood that the calculation formula for the maximum cutting speed of each axis can be set according to actual needs, and the embodiments of the present application are not limited to this.

[0058] Optionally, when the load mechanism type of the current axis of the laser tube cutting machine is a rack and pinion transmission mechanism, the calculation expression of the maximum cutting speed of the current axis is as follows:

[0059]

[0060] Where, v represents the maximum cutting speed of the current axis; d represents the gear pitch circle diameter; and Z represents the number of gear teeth.

[0061] Optionally, when the load mechanism type of the current axis of the laser tube cutting machine is a rack and pinion transmission mechanism, the calculation expression of the maximum cutting speed of the current axis is as follows:

[0062] v=60πmf max ;

[0063] In the formula, v represents the maximum cutting speed of the current axis; m represents the gear modulus o

[0064] Optionally, when the load mechanism type of the current axis of the laser tube cutting machine is a screw transmission mechanism, the calculation expression of the maximum cutting speed of the current axis is as follows:

[0065]

[0066] In the formula, v represents the maximum cutting speed of the current axis; s represents the lead of the screw; and β represents the helical angle of the gear. For example, when the gear is a helical gear, β is 19 degrees, 31 minutes and 42 seconds.

[0067] Therefore, with the help of the above technical solution, this application can achieve cutting speed increase and performance improvement by increasing the natural frequency of key components. In addition, this application calculates the actual cutting speed of each axis, guides the cutting process, reduces the damage of resonance to the equipment, increases the machine life and reduces maintenance costs.

[0068] In order to facilitate understanding of the embodiments of the present application, a description is given below using specific embodiments.

[0069] Specifically, taking a certain model of laser tube cutting machine as an example, the calculation method of the maximum cutting speed of each axis is introduced in detail:

[0070] When the X-axis adopts a rack and pinion transmission mechanism, the Y-axis adopts a rack and pinion transmission mechanism, and the Z-axis adopts a screw transmission, the number of teeth on the X-axis gear is 37, the gear pitch circle diameter is 78.5mm, and the module is 2mm; the number of teeth on the Y-axis gear is 25, the gear pitch circle diameter is 53.1mm, and the module is 2mm; the Z-axis screw lead is 10mm.

[0071] On the basis of the above, the natural frequencies of key components are calculated by finite element analysis software as follows: the natural frequency of the bed is 80Hz; the natural frequency of the gantry is 65Hz; the natural frequency of the front chassis is 74Hz; the natural frequency of the rear chassis is 66Hz; the natural frequency of the laser head connecting plate is 75Hz, so the minimum natural frequency of key components is f min =65Hz.

[0072] Then, determine the maximum excitation frequency that is allowed without resonance in the cutting process:

[0073]

[0074] Then, when the load mechanism of the X-axis is a gear rack transmission, the number of gear teeth is 37, and the gear pitch circle diameter is 78.5 mm, the maximum cutting speed of the X-axis is:

[0075]

[0076] Then, when the load mechanism of the Y axis is a gear rack transmission, the number of gear teeth is 25, and the gear pitch circle diameter is 53.1 mm, the maximum cutting speed of the Y axis is:

[0077]

[0078] And, when the load mechanism of the Z axis is a screw drive and the screw lead is 10mm, the maximum cutting speed of the Z axis is:

[0079] v=60sf max =60×0.01×46=27.6m / min;

[0080] In summary, when the X-axis cutting speed does not exceed 18.4 m / min, the Y-axis cutting speed does not exceed 18.4 m / min, and the Z-axis cutting speed does not exceed 27.6 m / min, the device will not resonate.

[0081] It should be understood that the above-mentioned method for calculating the maximum cutting speed of each axis when the device does not resonate during cutting is only exemplary, and those skilled in the art can make various modifications based on the above-mentioned method, and the modified scheme also falls within the scope of protection of this application.

[0082] Second embodiment

[0083] See also Figure 2 , Figure 2 A flow chart of a method for detecting the rationality of the structural design of key components in a laser tube cutting machine provided by an embodiment of the present application is shown. It should be understood that the method can also be performed by an electronic device, and the specific device of the electronic device can be set according to actual needs, and the embodiment of the present application is not limited thereto. For example, the electronic device can be a controller of a laser system, etc. Specifically, the method includes:

[0084] Step S210, determining the load mechanism type of each axis of the laser tube cutting machine. The axes of the laser may include an X-axis, a Y-axis, and a Z-axis; the load mechanism type may be a gear rack transmission mechanism or a screw transmission mechanism.

[0085] Step S220, according to the load mechanism type of each axis and the cutting speed of the laser tube cutting machine, the excitation frequency of each axis is calculated, and the maximum excitation frequency is determined from the excitation frequencies of each axis. The cutting speed of the laser tube cutting machine is determined by the calculation method of the maximum cutting speed of each axis when the laser tube cutting machine cuts the tube without resonance as described in the first embodiment, that is, when the maximum cutting speed of each axis of the laser tube cutting machine is determined by the first embodiment, it is sufficient to ensure that the cutting speed of each axis does not exceed the maximum cutting speed of the corresponding axis.

[0086] It should be understood that the calculation formula for the excitation frequency of each axis can be set according to actual needs, and the embodiments of the present application are not limited thereto.

[0087] Optionally, when the load mechanism type of the current axis of the laser tube cutting machine is a gear rack transmission mechanism, the calculation expression of the excitation frequency of the current axis is as follows:

[0088]

[0089] Where, f represents the excitation frequency of the current axis; Z represents the number of gear teeth; v represents the cutting speed of the current axis; and d represents the pitch circle diameter of the gear.

[0090] Optionally, when the load mechanism type of the current axis of the laser tube cutting machine is a gear rack transmission mechanism, the calculation expression of the excitation frequency of the current axis is as follows:

[0091]

[0092] In the formula, f represents the excitation frequency of the current axis; v represents the cutting speed of the current axis; m represents the gear module; β represents the helical angle of the gear. For example, when the gear is a helical gear, β is 19 degrees 31 minutes 42 seconds.

[0093] Optionally, when the load mechanism type of the current axis of the laser tube cutting machine is a screw drive, the calculation expression of the excitation frequency of the current axis is as follows:

[0094]

[0095] Where, f represents the excitation frequency of the current axis; v represents the cutting speed of the current axis; s represents the lead of the screw.

[0096] Step S230, calculating the minimum natural frequency of key components of the laser tube cutting machine according to vibration theory and maximum excitation frequency.

[0097] Specifically, according to vibration theory, it is known that the natural frequency of key components should be increased to a level higher than the excitation frequency during cutting. When the frequency is multiple times, no resonance will occur. Therefore, the calculation expression of the minimum natural frequency of the key components of the laser tube cutting machine is as follows:

[0098]

[0099] In the formula, f min represents the minimum natural frequency; f max Indicates the maximum excitation frequency.

[0100] Step S240, calculate the natural frequency of the key component by the finite element method. If the calculated natural frequency of the key component is greater than or equal to the minimum natural frequency, it is determined that the structural design of the key component is reasonable; if the calculated natural frequency of the key component is less than the minimum natural frequency, a prompt message is sent to prompt the user to improve the structure of the key component.

[0101] Therefore, with the help of the above technical solution, the embodiment of the present application can calculate the minimum natural frequency of key components by giving the maximum cutting speed of the three axes, and guide the design to achieve cost reduction. In addition, this method can also reduce the number of prototype experiments and reduce R&D costs. In addition, if the transmission mechanism is a gear rack, increasing the gear modulus can increase the cutting speed and achieve performance improvement.

[0102] In order to facilitate understanding of the embodiments of the present application, a description is given below using specific embodiments.

[0103] Specifically, the following is a detailed introduction to the method of detecting the rationality of the structural design of key components in the laser tube cutting machine based on the cutting speed of the known prototype:

[0104] When the X-axis adopts a rack and pinion transmission mechanism, the Y-axis adopts a rack and pinion transmission mechanism, and the Z-axis adopts a screw transmission, the number of teeth of the X-axis gear is 37, the gear pitch circle diameter is 78.5mm, and the module is 2mm; the number of teeth of the Y-axis gear is 25, the gear pitch circle diameter is 53.1mm, and the module is 2mm; the Z-axis screw lead is 10mm; the cutting speed of the X-axis, the cutting speed of the Y-axis, and the cutting speed of the Z-axis are all 30m / min.

[0105] On the basis of the above, when the load mechanism of the X-axis is a gear rack transmission and the number of gear teeth is 37 and the gear pitch circle diameter is 78.5 mm, the excitation frequency of the X-axis is:

[0106]

[0107] Then, when the load mechanism of the Y axis is a gear rack transmission, the number of gear teeth is 25, and the gear pitch circle diameter is 53.1 mm, the excitation frequency of the Y axis is:

[0108]

[0109] Then, when the load mechanism of the Z axis is a screw drive and the screw lead is 10mm, the maximum cutting speed of the Z axis is:

[0110]

[0111] Then, determine the maximum excitation frequency that is allowed without resonance in the cutting process: f max =75Hz, then the minimum natural frequency of key components is:

[0112] Finally, the natural frequency of key components is calculated by the finite element method. When the calculated natural frequency of key components is greater than 106 Hz, the structure of the key components is reasonable; when the calculated natural frequency of key components is less than 106 Hz, it is determined that the structure of the key components needs to be optimized until the natural frequency is greater than 106 Hz.

[0113] It should be understood that the above method for detecting the rationality of the structural design of key components in the laser tube cutting machine is only exemplary, and those skilled in the art can make various modifications based on the above method, and the modified scheme also falls within the scope of protection of this application.

[0114] It will be appreciated by those skilled in the art that embodiments of the present invention may be provided as methods, systems or computer program products. Therefore, the present invention may take the form of a complete hardware embodiment, a complete software embodiment, or an embodiment combining software and hardware. Furthermore, the present invention may take the form of a computer program product implemented on one or more computer-usable storage media (including but not limited to disk storage, CD-ROM, optical storage, etc.) containing computer-usable program code.

[0115] The present invention is described with reference to the flowcharts and / or block diagrams of the methods, devices (systems) and computer program products according to the embodiments of the present invention. It should be understood that each process and / or box in the flowchart and / or block diagram, as well as the combination of the processes and / or boxes in the flowchart and / or block diagram, can be implemented by computer program instructions.

[0116] It should be noted that in the claims, any reference numerals placed between brackets shall not be construed as limiting the claims. The word "comprising" does not exclude the presence of components or steps not listed in the claims. The word "a" or "an" preceding a component does not exclude the presence of a plurality of such components. The invention may be implemented by means of hardware comprising several different components and by means of a suitably programmed computer. In the claims enumerating several means, several of these means may be embodied by the same hardware. The use of the words first, second, third, etc., is for convenience of expression only and does not indicate any order. These words may be understood as part of the component name.

[0117] In addition, it should be noted that, in the description of this specification, the description of the terms "one embodiment", "some embodiments", "embodiment", "example", "specific example" or "some examples" etc. means that the specific features, structures, materials or characteristics described in conjunction with the embodiment or example are included in at least one embodiment or example of the present invention. In this specification, the schematic representations of the above terms do not necessarily refer to the same embodiment or example. Moreover, the specific features, structures, materials or characteristics described may be combined in any one or more embodiments or examples in a suitable manner. In addition, those skilled in the art may combine and combine the different embodiments or examples described in this specification and the features of the different embodiments or examples, unless they are contradictory.

[0118] Although the preferred embodiments of the present invention have been described, those skilled in the art may make other changes and modifications to these embodiments after knowing the basic creative concept. Therefore, the claims should be interpreted as including the preferred embodiments and all changes and modifications falling within the scope of the present invention.

[0119] Obviously, those skilled in the art can make various modifications and variations to the present invention without departing from the spirit and scope of the present invention. Thus, if these modifications and variations of the present invention fall within the scope of the claims of the present invention and their equivalents, the present invention should also include these modifications and variations.

Claims

1. A method for calculating the maximum cutting speed of each axis of a device without resonance during cutting, characterized in that: include: Determine the load mechanism type of each axis of the laser tube cutting machine; Calculating the natural frequencies of multiple key components in the laser tube cutting machine by finite element analysis software, and determining the minimum natural frequency from the multiple natural frequencies; Based on the vibration theory and the minimum natural frequency, determining the maximum excitation frequency; Based on the load mechanism type of each axis and the maximum excitation frequency, the maximum cutting speed of each axis of the laser tube cutting machine is determined.

2. The calculation method according to claim 1, characterized in that: The multiple key components include but are not limited to a bed, a gantry, a chuck base and a laser head connecting plate.

3. The calculation method according to claim 1 or 2, characterized in that: The minimum natural frequency and the maximum excitation frequency should satisfy the following relationship: In the formula, f max represents the maximum excitation frequency; f min represents the minimum natural frequency.

4. The calculation method according to claim 3, characterized in that: When the load mechanism type of the current axis of the laser tube cutting machine is a gear rack transmission mechanism, the calculation expression of the maximum cutting speed of the current axis is as follows: Wherein, v represents the maximum cutting speed of the current axis; d represents the gear pitch circle diameter; and Z represents the number of gear teeth.

5. The calculation method according to claim 3, characterized in that: When the load mechanism type of the current axis of the laser tube cutting machine is a gear rack transmission mechanism, the calculation expression of the maximum cutting speed of the current axis is as follows: In the formula, v represents the maximum cutting speed of the current axis; m represents the gear module; β represents the helix angle of the gear.

6. The calculation method according to claim 3, characterized in that: When the load mechanism type of the current axis of the laser tube cutting machine is a screw transmission mechanism, the calculation expression of the maximum cutting speed of the current axis is as follows: V=60sf max ; Wherein, v represents the maximum cutting speed of the current axis; s represents the lead of the screw.

7. A method for detecting the rationality of the structural design of key components in a laser tube cutting machine, characterized in that: include: Determining the load mechanism type of each axis of the laser tube cutting machine; According to the load mechanism type of each axis and the cutting speed of the laser tube cutting machine, the excitation frequency of each axis is calculated, and the maximum excitation frequency is determined from the excitation frequencies of each axis; wherein the cutting speed of the laser tube cutting machine is determined by the calculation method of the maximum cutting speed of each axis when the laser tube cutting machine cuts the tube without resonance as described in any one of claims 1 to 6; Calculate the minimum natural frequency of key components of the laser tube cutting machine based on vibration theory and the maximum excitation frequency; The natural frequency of the key component is calculated by the finite element method. If the calculated natural frequency of the key component is greater than or equal to the minimum natural frequency, it is determined that the structural design of the key component is reasonable; if the calculated natural frequency of the key component is less than the minimum natural frequency, a prompt message is sent to prompt the user to improve the structure of the key component.

8. The method according to claim 7, characterized in that When the load mechanism type of the current axis of the laser tube cutting machine is a gear rack transmission mechanism, the calculation expression of the excitation frequency of the current axis is as follows: In the formula, f represents the excitation frequency of the current shaft; Z represents the number of gear teeth; v represents the cutting speed of the current shaft; and d represents the gear pitch circle diameter.

9. The method according to claim 7, characterized in that: When the load mechanism type of the current axis of the laser tube cutting machine is a gear rack transmission mechanism, the calculation expression of the excitation frequency of the current axis is as follows: In the formula, f represents the excitation frequency of the current shaft; v represents the cutting speed of the current shaft; m represents the gear module; β represents the helix angle of the gear.

10. The method according to claim 7, characterized in that When the load mechanism type of the current axis of the laser tube cutting machine is a screw drive, the calculation expression of the excitation frequency of the current axis is as follows: In the formula, f represents the excitation frequency of the current axis; v represents the cutting speed of the current axis; and s represents the lead of the screw.

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