A method for designing a layout of a super-high tension industrial textile setting machine roller

Abstract

The application relates to a kind of ultra-high tension industrial textile setting machine roller layout design method, first, three kinds of evaluation index functions of roller operation, process and safety are set, multi-objective optimization mathematical model is constructed and constraint condition is set;Second, initial population is generated, and the objective function value is solved under constraint;Again, non-dominated sorting and crowding degree calculation of fabric roller system are completed by genetic algorithm, parent population is filtered according to sorting and crowding degree, and offspring is generated by selection, crossover and mutation without reaching iteration number, and iteration is carried out, until obtaining Pareto solution set;Finally, decision matrix is constructed based on solution set, is processed by vector normalization standardization, information entropy and index weight are calculated, positive and negative ideal solutions are determined, and the closeness of each scheme is obtained, and the scheme with the highest closeness is determined as the optimal roller layout design scheme.Compared with the prior art, the application has the advantages of reducing the gap between actual performance and theoretical index of equipment.

Description

Technical Field

[0001] This invention relates to the field of textile equipment design technology, and in particular to a method for designing the roller layout of a setting machine for ultra-high tension industrial textiles. Background Technology

[0002] With the increasing prominence of industrial textiles in fields such as medical, aerospace, and safety protection, the industrial textile industry is showing a trend towards high-end, intelligent, and green development. Compared to traditional clothing and home textiles, high-end industrial textiles possess engineering structural characteristics and functional orientation. Traditional textile equipment can no longer meet the requirements of production processes and increasingly stringent product quality control, necessitating research into high-end textile machinery design methods specifically for industrial textiles. The heat-setting machine is a core piece of equipment in textile finishing processes. During the heat-setting process, the fabric undergoes expansion and stretching under the traction of a multi-roller system, and is then set at a constant speed in a high-temperature oven. For industrial textiles requiring high strength and high stability, the fabric needs to be held under ultra-high tension before entering the heat-setting zone. This allows for the directional alignment of fiber molecular chains, improving crystallinity, tensile strength, abrasion resistance, and other mechanical properties, while also enhancing dimensional stability, surface smoothness, conductivity, and light transmittance. The current working tension range of heat setting equipment in the apparel and home textile industry (30~500 N / m) differs by orders of magnitude from the processing requirements of industrial textiles (3000~10000 N / m). This technical requirement leads to systemic defects in high-performance industrial textiles, especially those used as high-performance composite material base fabrics, during heat setting, such as fiber buckling, interfacial peeling, and dimensional instability. Therefore, research is urgently needed to develop design methods for heat setting equipment adapted to ultra-high tension in industrial textiles. Heat setting machines use multiple sets of rollers to stretch the fabric, forming a tension establishment zone. Accurate control of the progressive tension of the fabric across multiple sections is achieved by adjusting the stretching speed of each roller. Therefore, roller layout design, as a key element of the mechanical structure design of the heat setting machine, is of great significance for establishing and controlling the ultra-high tension zone and achieving the high-strength, high-stability heat setting requirements of industrial textiles.

[0003] The operation of a setting machine is a complex system involving the interaction of mechanical structures and flexible materials. Flexible textiles are both the objects being processed and the force-transmitting components. Traditional designs often target the setting and processing of low-modulus, light-load textiles, neglecting their dynamic coupling effect with the mechanical system. However, in high-modulus, high-load scenarios, this can lead to a significant gap between the actual performance of the equipment and its theoretical specifications. Summary of the Invention

[0004] The purpose of this invention is to provide a method for optimizing the roller layout of ultra-high tension industrial fabric setting machines based on the dynamic characteristics of rigid-flexible coupled systems. Considering the dynamic coupling effect between flexible textiles and mechanical systems, the roller layout problem is transformed into a textile path optimization problem. Based on the interaction between rigid rollers and flexible fabrics, the dynamic characteristics of the complex rigid-flexible system are analyzed, and the frequency coupling effect of the mechanical system-fabric is incorporated into the roller layout parameter optimization design system of the setting machine. This achieves synergistic optimization of the operational stability of the continuously operating fabric-roller system and the fabric setting quality, overcoming the limitation of neglecting the dynamic characteristics of fabrics in traditional setting equipment design and reducing the gap between actual equipment performance and theoretical indicators.

[0005] The objective of this invention can be achieved through the following technical solutions: A method for designing the roller layout of a setting machine for ultra-high tension industrial textiles, comprising the following steps: S1. Set the operation evaluation index function, process evaluation index function and safety evaluation index function for the rollers of the textile setting machine. Based on the three index functions, construct a multi-objective optimization mathematical model and set multi-objective optimization constraints. S2. Generate an initial population using the constructed mathematical model, and solve for the objective function value under constraints; S3. The objective function values ​​are used to perform non-dominated sorting and crowding calculation of the fabric-roller system based on a genetic algorithm; S4. Select new individuals as new parent populations based on non-dominated sorting and crowding. Determine if the required number of iterations has been reached. If not, perform selection, crossover, and mutation operations to generate offspring populations and repeat S4. Otherwise, generate a Pareto solution set. S5. Establish a decision matrix based on the Pareto solution set, standardize the decision matrix using vector normalization, calculate the information entropy corresponding to the standardized matrix, calculate the weights of each evaluation index and define the positive and negative ideal solutions of the evaluation indexes, obtain the proximity of each scheme, and rank the schemes based on the proximity to obtain the scheme with the highest proximity as the best design scheme.

[0006] Furthermore, the operational evaluation index function is: in, , The lower and upper limits of the excitation frequency are defined as follows: The frequency of concern is... , The design variable set is the fundamental frequency and the j-th and j+1-th natural frequencies of the roller-fabric system. .

[0007] Furthermore, the process evaluation index function is as follows: Where i represents the first... There are several rollers, and j represents the j-th natural frequency. The remainder is [the remainder].

[0008] Furthermore, the safety evaluation index function is: in, The contact force borne by the i-th roller due to the fabric tension.

[0009] Furthermore, the design variable set is as follows: in, To design the dimension of the vector, , , These represent the horizontal, vertical, and radial coordinates of the center position of the i-th roller, respectively.

[0010] Furthermore, the constraints include fabric winding mode constraints, fabric non-slip constraints, interference constraints, fundamental frequency constraints, and fabric span constraints.

[0011] Furthermore, the objective function of the mathematical model is: Where f represents the objective function vector of a multi-objective optimization problem, which requires maximizing objective 1 and minimizing objective 2 and objective 3.

[0012] Furthermore, the fabric winding method is constrained as follows: Let the coordinates of the fabric entry point be... The exit coordinates are The coordinates of the intermediate roller are ; For the i-th roller, when the coordinates exist and When the fabric is above the i-th roller, it passes over the roller from above; conversely, when it is below the roller, it passes over the roller from below. lie in and On the connecting line, the winding method is opposite to that of the previous roller. If i=1 at this time, it is stipulated that the fabric passes over the roller from above. Let the fabric winding direction of the i-th roller be... , To bypass from above the roller, To bypass from under the roller, set the intermediate parameters ; The fabric winding method constraint satisfies: .

[0013] Furthermore, the non-slip constraint on the fabric is as follows: Where α is the wrap angle, and The tension of the fabric before and after passing through the rollers. It is the coefficient of friction between the roller and the fabric.

[0014] Furthermore, the interference constraint is: the center distance of the rollers is greater than the radius and the radius.

[0015] The beneficial effects of this invention are as follows: 1. This invention addresses the gap in the design of roller layouts in ultra-high tension zones of textile setting equipment for high-end industries. For the first time, flexible textiles are incorporated as force-transmitting components into the mechanical analysis framework, establishing a dynamic model of a continuous fabric-roller rigid-flexible coupling system. This model overcomes the limitation of traditional setting equipment designs that neglect the dynamic characteristics of the fabric, revealing the key dynamic response laws of the system under ultra-high tension conditions.

[0016] (1) The torsional vibration frequency, natural frequency of transverse vibration of fabric, and roller contact force of roller-fabric system of high modulus industrial textiles are significantly higher than those of clothing / home textiles. (2) It was clarified that the rigid-flexible coupling dynamic characteristics are the core design constraint for the performance of ultra-high tension equipment, providing a theoretical basis for the dynamic design of the equipment.

[0017] 2. Innovatively, by associating roller layout parameters with operational stability, process quality, and equipment safety, three types of evaluation indicators—operation, process, and safety—were established, and a multi-objective optimization model for roller layout covering geometric constraints, material properties, and fabric winding methods was constructed.

[0018] (1) For the first time, the transverse vibration frequency of the fabric, the torsional vibration frequency of the system and the contact force of the roller were proposed as the core evaluation indicators of ultra-high tension equipment. (2) The layout optimization process is established by integrating genetic algorithm and TOPSIS method to achieve efficient search for Pareto optimal solution and objectively sort the multi-objective solution set, thus solving the problem of multi-objective weight allocation in engineering.

[0019] 3. Addressing the unique needs of ultra-high tension setting for industrial textiles, this project systematically solved for the first time the engineering challenge of designing the roller layout for the tension setting zone: (1) The impact of layout parameters on dynamic performance has been quantified, forming an optimized design process that can guide engineering practice; (2) Through case verification, the optimized scheme has significantly improved the three indicators of operational stability, process accuracy and safety, providing a reliable layout design scheme for high-end industrial textile setting equipment and promoting the development of textile machinery towards high performance. Attached Figure Description

[0020] Figure 1 A framework diagram of a roller layout design method for ultra-high tension industrial textile setting machine based on the dynamic characteristics of a rigid-flexible coupling system; Figure 2 A schematic diagram of the dynamic model of a setting machine for industrial textiles; Figure 3 A diagram showing the relationship between operating conditions and evaluation indicators; Figure 4 To design a graph showing the relationship between variables and evaluation indicators. Figure 4 (a) is a graph showing the relationship between the roller spacing, the natural frequency of the fabric's transverse vibration, and the torsional frequency of the system. Figure 4 (b) is a graph showing the relationship between the moment of inertia and the torsional frequency of the system. Figure 4 (c) represents the contact force at the wrap angle. Figure 4 (d) represents the roller radius minus the contact force; Figure 5 Pareto front diagram as a case study of roller layout design for setting machines for industrial textiles. Figure 5 (a) is the three-dimensional Pareto front. Figure 5 (b) is the Pareto frontier between objective 1 and objective 2. Figure 5 (c) is the Pareto frontier for objective 2-objective 3. Figure 5 (d) is the Pareto frontier for objectives 1-3. Detailed Implementation

[0021] The present invention will now be described in detail with reference to the accompanying drawings and specific embodiments. These embodiments are based on the technical solution of the present invention and provide detailed implementation methods and specific operating procedures. However, the scope of protection of the present invention is not limited to the following embodiments.

[0022] This invention proposes a roller layout design method for a setting machine for ultra-high tension industrial textiles, the method comprising the following steps: S1. Set the operation evaluation index function, process evaluation index function and safety evaluation index function for the rollers of the textile setting machine. Based on the three index functions, construct a multi-objective optimization mathematical model and set multi-objective optimization constraints. S2. Generate an initial population using the constructed mathematical model, and solve for the objective function value under constraints; S3. The objective function values ​​are used to perform non-dominated sorting and crowding calculation of the fabric-roller system based on a genetic algorithm; S4. Select new individuals as new parent populations based on non-dominated sorting and crowding. Determine if the required number of iterations has been reached. If not, perform selection, crossover, and mutation operations to generate offspring populations and repeat S4. Otherwise, generate a Pareto solution set. S5. Establish a decision matrix based on the Pareto solution set, standardize the decision matrix using vector normalization, calculate the information entropy corresponding to the standardized matrix, calculate the weights of each evaluation index and define the positive and negative ideal solutions of the evaluation indexes, obtain the proximity of each scheme, and rank the schemes based on the proximity to obtain the scheme with the highest proximity as the best design scheme.

[0023] To improve the performance of ultra-high tension industrial textile setting machines in terms of equipment stability and product quality, this invention aims to provide a roller layout optimization design method for ultra-high tension industrial textile setting machines based on the dynamic characteristics of rigid-flexible coupled systems. Considering the dynamic coupling effect between flexible textiles and mechanical systems, the roller layout problem is transformed into a textile path optimization problem. Based on the interaction between rigid rollers and flexible fabrics, the dynamic characteristics of the rigid-flexible complex system are analyzed, and the frequency coupling effect of the mechanical system-fabric is incorporated into the roller layout parameter optimization design system of the setting machine. A multi-objective design method for the roller layout of ultra-high tension industrial textile setting machines considering the dynamic characteristics of rigid-flexible systems is proposed, achieving synergistic optimization of the operational stability of the continuously operating fabric-roller system and the setting quality of the fabric.

[0024] This invention provides a method for designing the roller layout of an ultra-high tension industrial textile setting machine based on rigid-flexible coupling dynamics, comprising the following steps: (1) Discretize the continuously operating fabric-roller system into functional units with transmission characteristics. Select the torsional vibration angular displacement of each node. With torque As system state variables. The set of state vectors is represented as... For the first roller, the state vector is as follows: .in, For the transfer matrix, , These are the sets of state vectors for the left and right ends of roller 1, respectively. The inertial torque of the roller... Establish the balance relationship between the torque and angular displacement on the left and right sides of roller 1: Equivalent moment of inertia , , Transfer matrix .

[0025] (2) Establish the torque and angular displacement balance equations for the right side of roller 1 and the left side of roller 2: Transfer matrix , among which, Let be the equivalent stiffness of the fabric. Let the width of the fabric be... Thickness is The length of the fabric between the rollers is The strain change of the fabric after passing through one roller is Considering that textiles are mostly made of hyperelastic materials, the equivalent stiffness of the fabric... Represented as: .

[0026] (3) Constructing the system's transfer matrix ,in, , The system has free ends at both the left and right ends, and the boundary conditions are as follows: The higher-order algebraic equation for the system's torsional vibration frequency is: Solving this equation yields the torsional frequencies of the system. .

[0027] (4) Establish a transverse vibration dynamic model of the fabric under longitudinal tension. When it acts, its kinetic equation is: .in, For fabric The deflection in the axial direction is related to the longitudinal movement position and time; The tension per unit length of fabric; The longitudinal running speed of the fabric is the linear speed of the roller when slippage is negligible. For fabric thickness, The density is the fabric density. The method of separation of variables is used. In the formula, The amplitude coefficient, The vibration mode order. These are undetermined coefficients. Considering the boundary conditions... Establish a mechanical model of the natural frequency of transverse vibration of the fabric. In the formula, The distance between the rollers, The order of the fabric's natural frequency.

[0028] (5) Construct a contact force model between the fabric and the roller, and the maximum tension difference between the two ends of the fabric. In the formula, and The tension of the fabric before and after passing through the rollers. The coefficient of friction between the roller and the fabric. The minimum wrap angle required for the fabric to wind around the roller without slipping. This determines the tension difference generated as the fabric passes through the roller. Requirements for fabric strain distribution and the number of rollers function . No. The normal contact force exerted on each roller by the fabric tension and tangential contact force They are respectively: , The total contact force is .

[0029] (7) Construct an evaluation system for the stenter's operation, transforming dynamic stability into a quantifiable optimization objective. This is achieved by ensuring a sufficiently large tolerance bandwidth between the torsional vibration frequency and the excitation frequency to reduce resonance response and probability. The system's torsional vibration frequency is... .in, As the base frequency, let The lower limit requirement for the fundamental frequency of the design is usually required to be less than or equal to 0.7 times the minimum operating frequency. , These are the lower and upper limits of the excitation frequency. The frequency of interest is defined as... , Given the fundamental frequency and the j-th and j+1-th natural frequencies of the roller-fabric system, Compared with the inherent frequencies of each stage, let Less than The minimum natural frequency, for The next natural frequency. The system's frequencies must satisfy the following conditions: Let the design variable set be... Then the performance evaluation index function can be expressed as: .

[0030] (8) Evaluate the process of the setting machine and determine the natural frequency of transverse vibration of the fabric. With roller angular velocity The ratio is expressed as: In the formula, Where is the roller radius, It is an integer. The remainder. For a fabric in a certain roller section, when ( The smaller the natural frequency order of the fabric, the lower the probability of resonance during lateral vibration, and the higher the fabric processing quality. In general mechanical vibration engineering problems, the first four natural frequencies of the system are usually studied. The process evaluation index function is expressed as: .

[0031] (9) Construct a safety evaluation for the setting machine to reduce the contact force between the rollers and the fabric during operation, thereby improving the stability and reliability of the equipment, while ensuring that the fabric does not slip on the roller surface. The safety evaluation index function is expressed as: In the formula, The contact force borne by the i-th roller due to the fabric tension.

[0032] (10) Establish a multi-objective optimization design variable for the layout design method of the stenter and determine the roller layout design variable. In the formula, To design the dimension of the vector, , , Let be the center position coordinates and radial dimension of the i-th roller.

[0033] (11) Establish multi-objective optimization constraints for the layout design method of the stenter. 1) Fabric winding mode constraint: Let the fabric entry coordinates be... The exit coordinates are The coordinates of the intermediate roller are For the i-th roller, when the coordinate... exist and When the fabric is above the i-th roller, it passes over the roller from above; conversely, it passes under the roller from below. lie in and On the connecting line, the winding method is opposite to that of the previous roller. If i=1 at this time, it is stipulated that the fabric wraps around the roller from above. Let the winding direction of the fabric on the i-th roller be... , To bypass from above the roller, To bypass from below the roller. Let 2) Fabric non-slip constraint: The wrap angle of each roller must ensure that the tension difference does not cause slippage between the roller and the fabric. Therefore, the wrap angle must meet the following conditions: 3) Interference constraints: Interference between rollers should be avoided. The center distance between rollers must be greater than the radius, and sufficient installation space must be guaranteed. , ; ; In the formula, , , , , , 4) Fundamental frequency constraint: The minimum torsional vibration frequency of the system. (This refers to the upper and lower limits of the design variables.) It needs to be greater than the fundamental frequency constraint frequency. , Take 0.7 times the minimum operating frequency. 5) Fabric span constraints: .

[0034] (12) Establish a multi-objective optimization mathematical model for the layout design method of the stenter, based on the evaluation index functions, with As design variables, we maximize objective 1 and minimize objectives 2 and 3, establishing the following multi-objective optimization mathematical model: ; ; (13) Generate an initial population through the constructed mathematical model, check the constraints, calculate intermediate variables such as wrap angle and fabric spacing, and solve the objective function value.

[0035] (14) Sort the objective function values ​​of the fabric-roller system using a genetic algorithm, and let m objective functions be sorted non-dominated. A solution exists. , If and only if: , When both conditions are met, the relative merits of solutions can be distinguished, and a solution is called a dominant solution of another. The fewer dominant solutions a solution has, the better it is considered. By iterating through each solution, a set of solutions without dominant solutions is selected. and remove from the solution set Repeat the process to filter out the solutions. Repeat until all solutions have been assigned. Prioritize retaining lower-level solutions, such as... , .

[0036] (15) The crowding degree of the fabric-roller system is calculated based on the objective function value using a genetic algorithm. For solutions where the objective value is at the boundary, the crowding degree is set to ∞; for solutions where the objective value is in the middle position, the crowding degree is calculated using the following formula: In the formula, , Let be the maximum and minimum values ​​of the i-th objective, respectively. Calculate the crowding degree of solutions with the same dominance level, prioritizing solutions with higher crowding degree to ensure solution diversity.

[0037] (16) Select new individuals as new parent populations based on non-dominated sorting and crowding, and determine whether the required number of iterations has been reached. If the number of iterations has not been reached, perform selection, crossover, and mutation operations to generate offspring populations, and repeat steps 14 and 15 until the number of iterations is reached. If the number of iterations is reached, generate a Pareto solution set.

[0038] (17) Construct a decision matrix based on the Pareto solution set, and then standardize the decision matrix using vector normalization to obtain the standardized matrix. In the formula, The first in the standardized matrix Line number Column elements, For the number of schemes, The number of evaluation indicators.

[0039] (18) Calculate the first Information entropy of each evaluation indicator : In equation (34), .

[0040] (19) Calculate the weights assigned to each evaluation indicator ,satisfy . By combining the standardized matrix with the weights, a weighted matrix is ​​obtained. , .

[0041] (20) Define the first Ideal solution for each evaluation index With negative ideal solution : Calculate the proximity of each solution to the ideal solution. In the formula, , For the first The Euclidean distance between the solution of the scheme in the weighted matrix and the ideal solution and the negative ideal solution.

[0042] (21) By sorting the solutions in the Pareto solution set according to their proximity, the solution with the highest proximity is the best design solution.

[0043] The layout design method based on the dynamic characteristics of rigid-flexible coupling systems proposed in this invention is applicable to ultra-high tension industrial textile setting machines.

[0044] The beneficial effects of this invention are as follows: 1. This invention addresses the gap in the design of roller layouts in ultra-high tension zones of textile setting equipment for high-end industries. For the first time, flexible textiles are incorporated as force-transmitting components into the mechanical analysis framework, establishing a dynamic model of a continuous fabric-roller rigid-flexible coupling system. This model overcomes the limitation of traditional setting equipment designs that neglect the dynamic characteristics of the fabric, revealing the key dynamic response laws of the system under ultra-high tension conditions.

[0045] (1) The torsional vibration frequency, natural frequency of transverse vibration of fabric, and roller contact force of roller-fabric system of high modulus industrial textiles are significantly higher than those of clothing / home textiles. (2) It was clarified that the rigid-flexible coupling dynamic characteristics are the core design constraint for the performance of ultra-high tension equipment, providing a theoretical basis for the dynamic design of the equipment.

[0046] 2. Innovatively, by associating roller layout parameters with operational stability, process quality, and equipment safety, three types of evaluation indicators—operation, process, and safety—were established, and a multi-objective optimization model for roller layout covering geometric constraints, material properties, and fabric winding methods was constructed.

[0047] (1) For the first time, the transverse vibration frequency of the fabric, the torsional vibration frequency of the system and the contact force of the roller were proposed as the core evaluation indicators of ultra-high tension equipment. (2) The layout optimization process is established by integrating genetic algorithm and TOPSIS method to achieve efficient search for Pareto optimal solution and objectively sort the multi-objective solution set, thus solving the problem of multi-objective weight allocation in engineering.

[0048] 3. Addressing the unique needs of ultra-high tension setting for industrial textiles, this project systematically solved for the first time the engineering challenge of designing the roller layout for the tension setting zone: (1) The impact of layout parameters on dynamic performance has been quantified, forming an optimized design process that can guide engineering practice; (2) Through case verification, the optimized scheme has significantly improved the three indicators of operational stability, process accuracy and safety, providing a reliable layout design scheme for high-end industrial textile setting equipment and promoting the development of textile machinery towards high performance.

[0049] In the actual experiment, the steps included: The initial parameter requirements for the designed stenter are clearly defined, as shown in Table 1: Table 1 Parameter Requirements according to Figure 2 The mechanical model was established in MATLAB to solve for the system's torsional vibration frequency, the fabric's transverse vibration natural frequency, and the roller contact force. This model was used to solve for the system's torsional vibration frequency, the fabric's transverse vibration natural frequency, and the roller contact force under different working conditions and layout parameters. The results were obtained... Figure 3 Figure 4 The result.

[0050] Define design variables And establish the range of values ​​for the design variables.

[0051] Code for building a mathematical model of evaluation index in MATLAB.

[0052] according to Figure 1 The process involves writing the genetic algorithm code in MATLAB and embedding the mathematical model of the evaluation index from step 4 into the genetic algorithm. The population size is set to 100, the crossover probability to 0.5, the mutation rate to 0.2, and the number of iterations to 3000. The solution is obtained... Figure 5 The result in the middle.

[0053] Create code for the TOPSIS method in MATLAB to calculate the entropy value, weight coefficient, distance to and proximity to the ideal solution of the Pareto solution set.

[0054] The schemes are ranked according to their proximity to obtain the design variable set and evaluation index values ​​of the optimal scheme.

[0055] If the aforementioned functions are implemented as software functional units and sold or used as independent products, they can be stored in a computer-readable storage medium. Based on this understanding, the technical solution of this invention, or the part that contributes to the prior art, or a part of the technical solution, can be embodied in the form of a software product. This computer software product is stored in a storage medium and includes several instructions to cause a computer device (which may be a personal computer, server, or network device, etc.) to execute all or part of the steps of the methods described in the various embodiments of this invention. The aforementioned storage medium includes various media capable of storing program code, such as USB flash drives, portable hard drives, read-only memory (ROM), random access memory (RAM), magnetic disks, or optical disks.

Claims

1. A method for designing the roller layout of a setting machine for ultra-high tension industrial textiles, characterized in that, The method includes the following steps: S1. Set the operation evaluation index function, process evaluation index function and safety evaluation index function for the rollers of the textile setting machine. Based on the three index functions, construct a multi-objective optimization mathematical model and set multi-objective optimization constraints. S2. Generate an initial population using the constructed mathematical model, and solve for the objective function value under constraints; S3. The objective function values ​​are used to perform non-dominated sorting and crowding calculation of the fabric-roller system based on a genetic algorithm; S4. Select new individuals as new parent populations based on non-dominated sorting and crowding. Determine if the required number of iterations has been reached. If not, perform selection, crossover, and mutation operations to generate offspring populations and repeat S4. Otherwise, generate a Pareto solution set. S5. Establish a decision matrix based on the Pareto solution set, standardize the decision matrix using vector normalization, calculate the information entropy corresponding to the standardized matrix, calculate the weights of each evaluation index and define the positive and negative ideal solutions of the evaluation indexes, obtain the proximity of each scheme, and rank the schemes based on the proximity to obtain the scheme with the highest proximity as the best design scheme.

2. The roller layout design method for a setting machine for ultra-high tension industrial textiles according to claim 1, characterized in that, The operational evaluation index function is: in, , The lower and upper limits of the excitation frequency are defined as follows: The frequency of concern is... , The design variable set is the fundamental frequency and the j-th and j+1-th natural frequencies of the roller-fabric system. .

3. The roller layout design method for a setting machine for ultra-high tension industrial textiles according to claim 2, characterized in that, The process evaluation index function is: Where i represents the first... There are several rollers, and j represents the j-th natural frequency. The remainder is [the remainder].

4. The roller layout design method for a setting machine for ultra-high tension industrial textiles according to claim 3, characterized in that, The safety evaluation index function is: in, The contact force borne by the i-th roller due to the fabric tension.

5. The roller layout design method for a setting machine for ultra-high tension industrial textiles according to claim 4, characterized in that, The design variable set is: in, To design the dimension of the vector, , , These represent the horizontal, vertical, and radial coordinates of the center position of the i-th roller, respectively.

6. The roller layout design method for a setting machine for ultra-high tension industrial textiles according to claim 5, characterized in that, The constraints include fabric winding method constraints, fabric non-slip constraints, interference constraints, fundamental frequency constraints, and fabric span constraints.

7. The roller layout design method for a setting machine for ultra-high tension industrial textiles according to claim 6, characterized in that, The objective function of the mathematical model is: Where f represents the objective function vector of a multi-objective optimization problem, which requires maximizing objective 1 and minimizing objective 2 and objective 3.

8. The roller layout design method for a setting machine for ultra-high tension industrial textiles according to claim 7, characterized in that, The fabric winding method is constrained as follows: Let the coordinates of the fabric entry point be... The exit coordinates are The coordinates of the intermediate roller are ; For the i-th roller, when the coordinates exist and When the fabric is above the line, it passes over the i-th roller from above the roller. Conversely, it goes around from below the roller; when lie in and On the connecting line, the winding method is opposite to that of the previous roller. If i=1 at this time, it is stipulated that the fabric passes over the roller from above. Let the fabric winding direction of the i-th roller be... , To bypass from above the roller, To bypass from under the roller, set the intermediate parameters ; The fabric winding method constraint satisfies: .

9. The roller layout design method for a setting machine for ultra-high tension industrial textiles according to claim 8, characterized in that, The fabric non-slip constraint is: Where α is the wrap angle, and The tension of the fabric before and after passing through the rollers. It is the coefficient of friction between the roller and the fabric.

10. The roller layout design method for a setting machine for ultra-high tension industrial textiles according to claim 9, characterized in that, The interference constraint is: the center distance of the rollers is greater than the radius and the radius.

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