Pneumatic corrugated pipe and parameter optimization method thereof

Abstract

The invention belongs to the related technical field of corrugated pipes, and discloses a pneumatic corrugated pipe and a parameter optimization method thereof, the pneumatic corrugated pipe comprises an air inlet, a plurality of corrugated pipe sections and a plurality of straight pipes, the air inlet is formed in the air inlet end of the pneumatic corrugated pipe, the corrugated pipe sections and the straight pipe sections are alternately arranged, and the adjacent corrugated pipe sections are connected through the straight pipe sections; the corrugated pipe section comprises a plurality of wave crest sections and wave trough sections, and the adjacent wave crest sections and wave trough sections are connected through straight walls; according to the method, a theoretical model is established to analyze the influence of each parameter on the deformation of the corrugated pipe, key parameters such as the wall thickness of the straight pipe section and the pitch and trough radius of the corrugated pipe section are optimized by setting a plurality of groups of contrast simulation experiments, and the optimal combination meeting the requirements of high deformation efficiency and strength is determined under the condition of fixing the radius of the crest section. And efficient deformation can be achieved under the low air pressure, the engineering applicability and reliability of the corrugated pipe are remarkably improved, and the corrugated pipe is particularly suitable for the complex application environment with the high requirements for the structure size and the response precision.

Description

Technical Field

[0001] This invention belongs to the technical field of bellows, and more specifically, relates to a pneumatic bellows and a method for optimizing its parameters. Background Technology Pneumatic bellows are flexible components widely used in pneumatic systems. They can undergo controllable deformation under changes in air pressure and are widely used in pneumatic drives, sealing, vibration isolation, and compensation regulation, playing a particularly important role in automation, medical equipment, and robotics. Due to their flexibility, elasticity, sealing properties, and resistance to high temperatures and corrosion, pneumatic bellows are widely used to meet the demands of automated precision control and high efficiency.

[0002] In pneumatic systems, bellows can withstand pressure changes and transmit power or perform sealing functions through deformation. Pneumatic bellows exhibit unique advantages in many fields, especially in precision applications such as medical soft grippers and pneumatic medical equipment, providing efficient, stable, and reliable solutions. However, in practical applications, pneumatic bellows still have some shortcomings that urgently need to be addressed.

[0003] In low-pressure operating environments, the deformation efficiency of pneumatic bellows decreases significantly. Due to the lower pressure, the pressure acting on the bellows is less, making it difficult to generate sufficient deformation to meet system requirements. For example, in some micro-pneumatic systems with stringent pressure requirements, when the pressure falls below a certain value, the bellows may fail to extend or contract properly, reducing the system's driving capability or even causing it to malfunction. This not only affects system performance and efficiency but also limits the application of pneumatic bellows in certain specialized fields.

[0004] In applications with limited space, existing pneumatic bellows also face numerous challenges. With the continuous development of technology, many devices have increasingly stringent requirements for size and space, and pneumatic systems are no exception. When installing pneumatic bellows in a confined space, their deformation is limited by the surrounding environment, preventing them from fully realizing their performance. For example, in some small robot joints or miniature medical devices, the space is extremely limited, and the pneumatic bellows may interfere with surrounding components during deformation, leading to insufficient or uneven deformation, thus affecting the system's motion accuracy and stability. Furthermore, limited space also affects the heat dissipation performance of the pneumatic bellows, causing its temperature to rise after prolonged operation, thereby impacting its lifespan and performance.

[0005] Therefore, there is an urgent need to design a pneumatic bellows and its parameter optimization method to optimize the deformation performance of the bellows and improve the deformation efficiency. Summary of the Invention

[0006] To address the aforementioned deficiencies or improvement needs of existing technologies, this invention provides a pneumatic bellows and its parameter optimization method. The purpose is to achieve controllable deformation in different regions by segmenting the bellows, thereby improving deformation efficiency and solving the technical problem that existing pneumatic bellows are difficult to achieve efficient deformation under low air pressure and limited space.

[0007] To achieve the above objectives, according to one aspect of the present invention, a pneumatic bellows is provided, comprising an air inlet 1, a plurality of bellows sections 2, and a plurality of straight pipe sections 5. The air inlet 1 is disposed at the air inlet end of the pneumatic bellows. The bellows sections 2 and straight pipe sections 5 are alternately arranged, and adjacent bellows sections 2 are connected by straight pipe sections 5. The bellows section 2 includes a plurality of crest sections 3 and trough sections 4, and adjacent crest sections 3 and trough sections 4 are connected by straight walls 6. The wall thickness of the bellows section 2 is less than the wall thickness of the straight pipe section 5.

[0008] Preferably, the material of the pneumatic bellows is a polypropylene composite material.

[0009] According to another aspect of the present invention, a method for optimizing the parameters of a pneumatic bellows is provided, comprising the following steps: S1. Design the shape of the pneumatic bellows; S2. Based on the shape of the pneumatic bellows in S1, establish a mechanical model of the pneumatic bellows, analyze and extract the important parameters affecting the deformation performance of the bellows; S3. Establish a three-dimensional model and perform finite element modeling and simulation to optimize the important parameters in S2, including the wall thickness of the straight pipe section, the wall thickness of the corrugated pipe section, the pitch of the corrugated pipe section, and the radius of the trough section; obtain the corrugated pipe structure parameters that minimize the wall thickness of the straight pipe section without deformation and maximize the deformation efficiency of the corrugated pipe section.

[0010] Preferably, the mechanical model formula for the pneumatic bellows in step S2 is as follows:

[0011] in, This represents the axial elongation of the entire bellows section. This refers to the axial deformation at the crease. For the axial variation of the trough segment, The corrugation number of the corrugated pipe section. The length of the crest segment. The length of the trough segment; Preferably, the axial deformation at the crease The expression is as follows:

[0012] in, The outer radius of the trough segment after pressure change. The length of the straight wall between the crests and troughs. The radius of the wave crest segment; Axial variation of the trough segment The expression is as follows:

[0013] in, The cross-sectional area of ​​the trough segment. For circumferential stress, Radial stress, The Young's modulus of the material. The Poisson's ratio of the material, The axial equivalent stiffness of the trough section; Preferably, for a pressurized cylindrical tube, its radial stress The expression is as follows:

[0014] in, P The magnitude of the pressure applied inside the bellows, r 0 represents the radius of the inner wall of the trough section when no pressure is applied. r The radius of the outer wall of the trough section when no pressure is applied. r i Any location within the wall of the corrugated pipe; Circumferential stress The expression is as follows:

[0015] Preferably, step S3 includes the following steps: S31. Establish a three-dimensional model and determine the radius of the corrugated pipe crest section based on the actual workspace and application requirements; S32. Optimize the wall thickness of the straight pipe section. Set up a pressure simulation model with different gradient wall thicknesses of the straight pipe section to perform internal wall pressure simulation analysis, and select the minimum wall thickness of the straight pipe section that does not deform as the optimal wall thickness of the straight pipe section. S33. Optimize the wall thickness of the corrugated pipe section, set up a pressure simulation model with different gradient straight pipe section wall thicknesses to conduct inner wall pressure simulation analysis, analyze the radial expansion deformation of the straight pipe section, and select the wall thickness with the smallest maximum stress value as the optimal corrugated pipe section wall thickness. S34. Optimize the pitch of the corrugated pipe section, set up a pressure simulation model of the corrugated pipe section with different pitches to perform inner wall pressure simulation analysis, analyze its axial elongation deformation, and select the corrugated pipe section pitch with the largest axial deformation efficiency as the optimal corrugated pipe section pitch. S35. Optimize the trough section radius. Set up a bellows pressurization simulation model with different trough section radii to perform inner wall pressurization analysis. Without affecting the service life, select the bellows section with the highest axial deformation efficiency and determine the optimal trough section radius. S36. Finally, obtain the minimum wall thickness of the straight pipe section without deformation and the corrugated pipe section with the highest deformation efficiency of the corrugated pipe structure parameters.

[0016] Preferably, the method for establishing the pressure simulation model in step S3 is as follows: a series of three-dimensional models of bellows with different parameters are established in UG, the three-dimensional models are imported into ABAQUS simulation software, and material parameters are set; the model is meshed, with a denser mesh in the bellows section and a sparser mesh in the straight pipe section; after setting the boundary conditions, pressure is applied to the inner wall of the bellows, simulation analysis is performed, and the corresponding result file is obtained.

[0017] In summary, compared with the prior art, the pneumatic bellows and its parameter optimization method provided by this invention have the following beneficial effects: 1. The corrugated pipe section of this invention has a thinner wall thickness, which can effectively achieve straight wall rotation and axial deformation under pressure. Since the crest and trough sections are connected by a straight wall, compared to the common inclined wall connection method, the straight wall can generate a larger rotation angle under pressure, achieving more significant axial elongation and improving deformation efficiency. Adjacent corrugated pipe sections are connected by a straight pipe section with a larger wall thickness. The straight pipe section has high rigidity and will not undergo significant radial deformation under air pressure.

[0018] 2. This invention, through the rational combination of corrugated pipe sections and straight pipe sections, enables the corrugated pipe section to achieve efficient axial deformation during operation while maintaining the rigidity of the straight pipe section, avoiding unnecessary deformation. The crest and trough sections of the corrugated pipe section are connected by straight walls, possessing flexible characteristics and enabling smooth deformation under lower air pressure, thereby improving deformation efficiency. The thicker straight pipe section effectively prevents radial deformation, enhancing overall stability and performance.

[0019] 3. The pneumatic bellows of this invention possesses a reasonable geometric configuration. Compared with traditional pneumatic bellows, under the same outer diameter, the bellows of this invention has segmented deformation capability. Through simulation analysis of various bellows shapes, the bellows shape with the highest deformation efficiency was selected as the bellows segment shape of this invention. Traditional bellows use inclined walls to connect the crest and trough sections, while the bellows segment of this invention uses straight walls to connect the crest and trough sections. Due to the small wall thickness of the bellows segment and the larger rotation angle after pressurization, efficient deformation can be achieved; while in the straight pipe section area with a larger wall thickness, high stiffness is maintained, avoiding significant deformation. The pneumatic bellows of this invention sets a straight pipe section with a larger wall thickness in areas where deformation is not needed or cannot occur to improve overall stiffness and structural stability; in areas where deformation is required, a bellows segment with a smaller wall thickness and higher deformation efficiency is set to achieve precise and controllable axial deformation.

[0020] 4. The present invention proposes a method for optimizing the structural parameters of a pneumatic bellows, which solves the problem that bellows cannot meet deformation requirements under limited operating space and low operating pressure conditions. This method ensures that the bellows achieves efficient deformation in the area requiring deformation, thereby meeting practical operational needs under limited space and pressure conditions. Attached Figure Description

[0021] Figure 1 This is a flowchart illustrating the parameter optimization method for the pneumatic bellows of the present invention. Figure 2 This is a front view of the pneumatic bellows of the present invention; Figure 3 This is a schematic diagram of the cross-section of the pneumatic bellows of the present invention; Figure 4 This is a three-dimensional modeling diagram of the pneumatic bellows of the present invention; Figure 5 This is a simulation diagram of the internal pressurization and expansion of the pneumatic bellows of the present invention; Figure 6 This is a schematic diagram of the pressurized straight wall rotation of the corrugated pipe section of the present invention; Figure 7 This is a schematic diagram of the pressurized cross-section of the corrugated pipe section of the present invention; In all the accompanying drawings, the same reference numerals are used to denote the same elements or structures, wherein: 1-Air inlet, 2-Corrugated pipe section, 3-Crest section, 4-Valley section, 5-Straight pipe section, 6-Straight wall, 7-Inner wall. Detailed Implementation

[0022] To make the objectives, technical solutions, and advantages of this invention clearer, the invention will be further described in detail below with reference to the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are merely illustrative and not intended to limit the invention. Furthermore, the technical features involved in the various embodiments of this invention described below can be combined with each other as long as they do not conflict with each other.

[0023] Please see Figure 2-4 The present invention provides a pneumatic bellows comprising an air inlet 1, multiple bellows sections 2, and multiple straight pipe sections 5. Each bellows section 2 includes multiple crest sections 3 and multiple trough sections 4, and each bellows section has a relatively thin wall thickness t1. Adjacent bellows sections are connected by straight pipe sections 5 with a larger wall thickness t2. During the application of pressure to its inner wall, such as... Figure 6-7 As shown, the straight wall 6 undergoes a large-angle rotation from 0° to... θThis results in significant axial deformation in bellows section 2. Currently, commonly used pneumatic bellows connect the crest and trough sections with inclined walls, resulting in a smaller rotation angle due to the initial angle. Therefore, the bellows section structure of this invention has higher deformation efficiency. The straight pipe section, due to its larger wall thickness, does not experience significant radial deformation.

[0024] Please see Figure 1 The present invention discloses a method for optimizing the structural parameters of a corrugated pipe, which improves the deformation capacity of the corrugated pipe section 2 without changing its dimensions, while preventing significant radial deformation in the straight pipe section 5. The method specifically includes the following steps: S1. Design the shape of the pneumatic bellows; S2. Based on the shape of the pneumatic bellows in S1, establish a mechanical model of the pneumatic bellows, analyze and extract the important parameters affecting the deformation performance of the bellows; Applying pressure to the bellows actuator generates an elongation force. Rotation at point 6 on the straight wall causes the bellows to elongate axially, and the degree of elongation is affected by the pressure. During pressurization, the trough section experiences a significant stretching in its axial length due to the combined effects of tensile force at the crease and axial force. Simultaneously, it is assumed that the expansion of the bellows trough section causes rotation at the crease, resulting in elongation. The specific deformation diagram is shown below. Figure 6 As shown in the comparison diagram of the cross-section before and after deformation, see below. Figure 7 As shown.

[0025] According to Lamé's equation, for a cylindrical tube, the radial stress after pressurization is... The expression is:

[0026] Circumferential stress for:

[0027] in, P The magnitude of the pressure applied inside the bellows, r 0 represents the radius of the inner wall of the trough section when no pressure is applied. r The radius of the outer wall of the trough section when no pressure is applied. r i This refers to any location within the wall of the corrugated pipe.

[0028] According to Hooke's law, circumferential strain λ θ With circumferential stress σ θ and radial stress σ r The relationship is:

[0029] in, E The Young's modulus of the material. ν Let be the Poisson's ratio of the material.

[0030] Variation of outer radius Δ in trough segment r for:

[0031] Because the crease has a stretching effect on the change of the outer radius of the trough section, it introduces... E f This is the effective elastic modulus of the crease.

[0032] Outer radius of the trough after pressure change :

[0033] At the same time, axial deformation Δ at a crease H 1 is

[0034] in, The outer radius of the trough segment after pressure change. The length of the straight wall between the crests and troughs. The radius of the wave crest segment; For the axial elongation of the trough section, axial strain λ a With axial stress σ a They are respectively:

[0035]

[0036] in, F The total resultant force along the axial direction of the trough segment is expressed as follows according to Hooke's Law:

[0037] in, k The axial equivalent stiffness of the bellows in the trough section. This refers to the axial variation of the trough segment.

[0038] For the cross-sectional area of ​​the trough segment after pressurization and expansion A :

[0039] in, The inner radius of the trough section after pressurization. h 2 represents the length of the trough segment.

[0040] Axial variation of the trough segment The expression is as follows:

[0041] in, The cross-sectional area of ​​the trough segment. For circumferential stress, Radial stress, The Young's modulus of the material. The Poisson's ratio of the material, The axial equivalent stiffness of the trough section; Therefore, the axial elongation of the entire bellows section ε H for:

[0042] in, This refers to the axial deformation at the crease. For the axial variation of the trough segment, The corrugation number of the corrugated pipe section. The length of the crest segment. This represents the length of the trough segment.

[0043] The established mathematical model shows that material parameters have a significant impact on the deformation performance of the designed bellows structure. Furthermore, the structural parameters that play a crucial role in bellows deformation mainly include wall thickness, pitch, and straight wall length. In practical applications, if the working space is fixed, the radius of the crest section is also fixed. In this case, the straight wall length can be changed by adjusting the radius of the trough section, thereby enabling corresponding simulation analysis and structural optimization.

[0044] S3. Establish a three-dimensional model and perform finite element modeling and simulation to optimize the important parameters in S2, including the wall thickness of the straight pipe section, the wall thickness of the corrugated pipe section, the pitch of the corrugated pipe section, and the radius of the trough section; obtain the corrugated pipe structure parameters that minimize the wall thickness of the straight pipe section without deformation and maximize the deformation efficiency of the corrugated pipe section.

[0045] Create a 3D model: Use UG12.0 to create a 3D model, specifically as follows: Figure 4 As shown, the bellows includes multiple bellows sections 2, multiple straight pipe sections 5, and an air inlet 1. The wall thickness t2 of the bellows section is different from that of the straight pipe section t1. The wall thickness t2 of the bellows section is smaller, while the wall thickness t1 of the straight pipe section is larger. Adjacent crests and troughs in the bellows section 2 are connected by straight walls 6. In the same set of simulation experiments, under the condition that other conditions remain unchanged, the radius R of the crest section in the actual application scenario is determined, and the wall thickness t1 of the straight pipe section, the wall thickness t2 of the bellows section, the pitch h of the bellows section, and the radius r of the trough section are set with different gradients.

[0046] The imported bellows was modeled using ABAQUS using the finite element method. Through comparison and selection of various flexible materials, polypropylene composite material was chosen for its lightweight, durability, excellent impact resistance, and fatigue resistance, making it particularly suitable for applications requiring repeated bending or impact. Furthermore, polypropylene composite material exhibits good thermal stability; its high melting point allows it to maintain structural integrity even at high temperatures. Due to its low density, ease of processing, and cost-effectiveness, this invention selected polypropylene composite material as the primary material for the pneumatic bellows.

[0047] During the modeling process, the imported 3D model was segmented, separating corrugated pipe segment 2 into straight pipe segment 5, and then meshing them with different precision. A sparser mesh was used in straight pipe segment 5 to reduce computational load, while a denser mesh was used in corrugated pipe segment 2 and at the rounded transition areas to ensure computational accuracy and accurately capture deformation characteristics. This helps improve the efficiency of simulation analysis while ensuring the accuracy of analysis results in key areas.

[0048] In the simulation, the inlet section 1 of the bellows was fixed, and a gradient pressure was applied to its inner wall 7. Considering that the pressure in the application scenario is usually below 0.2 MPa, a set of experiments was set every 0.025 MPa within the range of 0 to 0.2 MPa to simulate the deformation of the bellows under different air pressures.

[0049] Internal pressure simulations were performed on models with straight pipe sections of different wall thicknesses t1, such as... Figure 5 As shown in the pressurized straight pipe section, the radial deformation of the straight pipe section was recorded in each group of experiments. The gradient wall thickness that did not cause significant deformation and had a small maximum stress at 0.2 MPa was selected as the optimal straight pipe section wall thickness, and this wall thickness was applied to the subsequent model establishment.

[0050] After determining the wall thickness of the straight pipe section, then take measures such as... Figure 6 The pressure simulation of the bellows section was conducted, and its elongation was recorded. Pressure simulation models with different gradient bellows section wall thicknesses t2 were used to analyze the axial elongation deformation of the inner wall 7. By comparing the deformation of each gradient wall thickness, the gradient wall thickness with the largest deformation and meeting the usage deformation requirements was selected as the optimal bellows section wall thickness, and this wall thickness was used in subsequent models. Pressure simulations were also conducted on bellows sections with different gradient pitches h to analyze their axial elongation deformation. The bellows section pitch with the largest deformation and meeting the usage requirements was selected as the optimal pitch, and this pitch was used uniformly in subsequent models.

[0051] While ensuring that the overall appearance and usage dimensions remain unchanged, the same crest radius R was selected, and pressure simulation models with different gradient trough radii r were used to conduct pressure simulation analysis of the inner wall 7. The axial elongation deformation of each gradient trough radius was analyzed, and finally, the trough radius with the largest deformation and meeting the deformation requirements was selected as the optimal trough radius.

[0052] This method for optimizing the structural parameters of pneumatic bellows, without altering the operating space, yields a bellows structure based on the gradient optimization of the experimental group. This structure exhibits minimal deformation in the straight pipe section, high deformation efficiency in the bellows section, and meets strength requirements. In some medical pneumatic actuator fields, such as pneumatic grippers, rehabilitation gloves, and dexterous fingers, the optimized straight pipe section wall thickness should be greater than or equal to 1 mm, the bellows section wall thickness less than or equal to 0.6 mm, the crest radius greater than or equal to 5 mm, and the trough radius greater than or equal to 2 mm. Furthermore, the position, length, wave number, and quantity of the straight and bellows sections can be flexibly adjusted according to actual needs to ultimately obtain the optimal bellows suitable for specific scenarios.

[0053] Those skilled in the art will readily understand that the above description is merely a preferred embodiment of the present invention and is not intended to limit the present invention. Any modifications, equivalent substitutions, and improvements made within the spirit and principles of the present invention should be included within the scope of protection of the present invention.

Claims

1. A pneumatic bellows, characterized in that: It includes an air inlet (1), multiple corrugated pipe sections (2) and multiple straight pipe sections (5). The air inlet (1) is located at the air inlet end of the pneumatic corrugated pipe. The corrugated pipe sections (2) and straight pipe sections (5) are alternately arranged. Adjacent corrugated pipe sections (2) are connected by straight pipe sections (5). The corrugated pipe section (2) includes multiple crest sections (3) and trough sections (4). Adjacent crest sections (3) and trough sections (4) are connected by straight walls (6). The wall thickness of the corrugated pipe section (2) is less than the wall thickness of the straight pipe section (5).

2. The pneumatic bellows as described in claim 1, characterized in that: The material of the pneumatic bellows is set as polypropylene composite material.

3. A parameter optimization method for a pneumatic bellows, applied to the pneumatic bellows described in claim 1 or 2, characterized in that: S1. Design the shape of the pneumatic bellows; S2. Based on the shape of the pneumatic bellows in S1, establish a mechanical model of the pneumatic bellows, analyze and extract the important parameters affecting the deformation performance of the bellows; S3. Establish a three-dimensional model and perform finite element modeling and simulation to optimize the important parameters in S2, including the wall thickness of the straight pipe section, the wall thickness of the corrugated pipe section, the pitch of the corrugated pipe section, and the radius of the trough section; obtain the corrugated pipe structure parameters that minimize the wall thickness of the straight pipe section without deformation and maximize the deformation efficiency of the corrugated pipe section.

4. The parameter optimization method for a pneumatic bellows as described in claim 3, characterized in that: The mechanical model formula for the pneumatic bellows in step S2 is as follows: in, This represents the axial elongation of the entire bellows section. This refers to the axial deformation at the crease. For the axial variation of the trough segment, The corrugation number of the corrugated pipe section. The length of the crest segment. This represents the length of the trough segment.

5. The parameter optimization method for a pneumatic bellows as described in claim 4, characterized in that: Axial deformation at the crease The expression is as follows: in, The outer radius of the trough segment after pressure change. The length of the straight wall between the crests and troughs. The radius of the crest segment.

6. The parameter optimization method for a pneumatic bellows as described in claim 4, characterized in that: Axial variation of the trough segment The expression is as follows: in, The cross-sectional area of ​​the trough segment. For circumferential stress, Radial stress, The Young's modulus of the material. The Poisson's ratio of the material, This represents the axial equivalent stiffness of the trough segment.

7. The parameter optimization method for a pneumatic bellows as described in claim 6, characterized in that: For a pressurized cylindrical tube, its radial stress The expression is as follows: in, P The magnitude of the pressure applied inside the bellows, r 0 represents the radius of the inner wall of the trough section when no pressure is applied. r The radius of the outer wall of the trough section when no pressure is applied. r i This refers to any location within the wall of the corrugated pipe.

8. The parameter optimization method for a pneumatic bellows as described in claim 7, characterized in that: Circumferential stress The expression is as follows: 。 9. The parameter optimization method for a pneumatic bellows as described in claim 3, characterized in that: Step S3 includes the following steps: S31. Establish a three-dimensional model and determine the radius of the corrugated pipe crest section based on the actual workspace and application requirements; S32. Optimize the wall thickness of the straight pipe section. Set up a pressure simulation model with different gradient wall thicknesses of the straight pipe section to perform internal wall pressure simulation analysis, and select the minimum wall thickness of the straight pipe section that does not deform as the optimal wall thickness of the straight pipe section. S33. Optimize the wall thickness of the corrugated pipe section, set up a pressure simulation model with different gradient straight pipe section wall thicknesses to conduct inner wall pressure simulation analysis, analyze the radial expansion deformation of the straight pipe section, and select the wall thickness with the smallest maximum stress value as the optimal corrugated pipe section wall thickness. S34. Optimize the pitch of the corrugated pipe section, set up a pressure simulation model of the corrugated pipe section with different pitches to perform inner wall pressure simulation analysis, analyze its axial elongation deformation, and select the corrugated pipe section pitch with the largest axial deformation efficiency as the optimal corrugated pipe section pitch. S35. Optimize the trough section radius. Set up a bellows pressurization simulation model with different trough section radii to perform inner wall pressurization analysis. Without affecting the service life, select the bellows section with the highest axial deformation efficiency and determine the optimal trough section radius. S36. Finally, obtain the minimum wall thickness of the straight pipe section without deformation and the corrugated pipe section with the highest deformation efficiency of the corrugated pipe structure parameters.

10. The parameter optimization method for a pneumatic bellows as described in claim 9, characterized in that: The method for establishing the pressure simulation model in step S3 is as follows: a series of three-dimensional models of bellows with different parameters are established in UG, the three-dimensional models are imported into ABAQUS simulation software, material parameters are set, and the model is meshed, with a denser mesh in the bellows section and a sparser mesh in the straight pipe section. After setting the boundary conditions, pressure is applied to the inner wall of the bellows, and simulation analysis is performed to obtain the corresponding result file.

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