Rolling stress analysis method and system, rolling equipment and readable storage medium

Abstract

The invention relates to the technical field of rolling equipment stress analysis, and discloses a rolling stress analysis method and system, rolling equipment and a readable storage medium, and the method comprises the steps: after an oil cylinder acting force is applied to the rolling equipment, according to an equivalent spring model, a boundary condition and a displacement constraint of the rolling equipment, calculating the rolling stress according to the equivalent spring model, the boundary condition and the displacement constraint of the rolling equipment; determining the relative displacement between each component in the equipment and the corresponding supporting structure and the initial stress state of each component; gradually applying an external load, simulating a stress evolution process of each loading stage, updating a boundary condition and a displacement constraint according to a current stress state in each stage, and obtaining a corresponding stress evolution result; and generating a response information set representing the stress response characteristics of the equipment based on the evolution result. According to the method, the stress distribution characteristics, the deformation behavior and the response evolution law of the rolling equipment can be accurately reflected under different working conditions, and support is provided for equipment design optimization, process parameter adjustment and running state monitoring.

Description

Technical Field

[0001] This application relates to the field of stress analysis of roller pressing equipment, and in particular to a stress analysis method, system, roller pressing equipment, and readable storage medium for roller pressing. Background Technology

[0002] In the theoretical analysis and engineering design of the lamination process in multi-roll presses, existing technologies generally employ three-dimensional nonlinear finite element numerical simulation to study the dynamic relationship between lamination force and rolling force at each stage. Specifically, this method typically requires engineers to construct three-dimensional solid models of key components such as the roll system, complex wedge structures, and diaphragms with significant thin-walled elastic characteristics. They must meticulously set the elasto-plastic material parameters of each component, appropriately apply multiphysics boundary conditions (such as roll gap constraints and strip tension), and accurately define complex dynamic contact pairs (such as roll-strip and wedge-diaphragm). This modeling process often requires reliance on Hertzian contact theory or penalty function methods, and involves high-density mesh generation for stress concentration areas such as the wedge slope and diaphragm. After model preprocessing, high-performance computing resources are needed to perform lengthy nonlinear numerical iterations (often lasting tens of hours).

[0003] However, this type of finite element simulation method has significant problems: First, the modeling process is extremely cumbersome and highly dependent on the engineer's experience, especially in complex geometric modeling and contact parameter setting, resulting in poor versatility and reusability of the solutions; second, it has low computational efficiency and high resource consumption, with the strong nonlinear coupling of large-scale models significantly slowing down the convergence speed, and each simulation taking too long, making it difficult to meet the needs of rapid engineering evaluation and parameter optimization. In addition, complex contact states are prone to numerical non-convergence, error accumulation, or computational interruption, reducing the reliability and practicality of the simulation results. Summary of the Invention

[0004] In view of this, embodiments of this application provide a method, system, rolling equipment, and readable storage medium for analyzing the stress of rolling equipment, which can effectively solve the problems of low modeling accuracy, difficulty in tracking the stress evolution process, and lack of dynamic response data support in the stress analysis process of existing rolling equipment.

[0005] In a first aspect, embodiments of this application provide a method for analyzing the stress of a roller, including: After applying the hydraulic cylinder force to the roller pressing equipment, the relative displacement between each component and the corresponding support structure and the initial stress state of each component are determined according to the equivalent spring model of the roller pressing equipment, the preset boundary conditions and displacement constraints. Based on the relative displacement and the initial stress state, external loads are applied step by step to simulate the stress evolution process at each loading stage. At each stage, the boundary conditions and displacement constraints are updated according to the current stress state, and the corresponding stress evolution results are obtained. Based on the force evolution results, a set of force response information is generated to characterize the force response characteristics of the roller pressing equipment.

[0006] In some embodiments, the step of applying a hydraulic cylinder force to the roller press includes: Obtain the structural parameters of each component in the roller pressing equipment, and calculate the equivalent stiffness parameters of each component based on the structural parameters; Based on the equivalent stiffness parameters, an equivalent spring model representing the force relationship of each component is established.

[0007] In some embodiments, obtaining the structural parameters of each component in the roller pressing equipment and calculating the equivalent stiffness parameters of each component based on the structural parameters includes: Obtain the elastic modulus, effective cross-sectional area along the force direction, and original length of each of the aforementioned components; Based on the elastic modulus, the cross-sectional area, and the original length, the equivalent stiffness parameters corresponding to each of the components are calculated according to the preset equivalent stiffness calculation model.

[0008] In some embodiments, establishing an equivalent spring model representing the force relationship between the components based on the equivalent stiffness parameters includes: The force path of the wedge member in the roller pressing equipment can be equivalently represented as a first equivalent spring structure set between the bearing seats in the roller pressing equipment; The force path of the diaphragm component in the roller pressing equipment can be equivalently represented as a second equivalent spring structure set between adjacent rollers in the roller pressing equipment; Based on the equivalent stiffness parameters corresponding to each component, corresponding stiffness values ​​are set for the first equivalent spring structure and the second equivalent spring structure to construct the equivalent spring model.

[0009] In some embodiments, after applying a hydraulic cylinder force to the roller pressing equipment, determining the relative displacement between each component of the roller pressing equipment and its corresponding support structure, as well as the initial stress state of each component, based on the equivalent spring model of the roller pressing equipment, preset boundary conditions, and displacement constraints, includes: Construct a set of static equilibrium equations corresponding to the equivalent spring model; By combining the preset boundary conditions and displacement constraints, the static equilibrium equations are solved simultaneously. Based on the solution results, the relative displacement results of each component with respect to the corresponding support structure, as well as the initial stress state of each component, are obtained.

[0010] In some embodiments, the step of gradually applying external loads based on the relative displacement and the initial stress state to simulate the stress evolution process at each loading stage, and updating the boundary conditions and displacement constraints according to the current stress state at each stage to obtain the corresponding stress evolution result, includes: The variation step size of the applied load is determined based on the relative displacement and the initial stress state. The applied load is gradually increased according to the changing step size. In each loading stage, the boundary conditions and displacement constraints are updated based on the force state and relative displacement results of the previous loading stage. Under the updated boundary conditions and displacement constraints, the stress state of the current loading stage is solved to obtain the stress evolution result of the current loading stage.

[0011] In some embodiments, generating a set of force response information characterizing the force response characteristics of the roller pressing equipment based on the force evolution results includes: The force evolution results corresponding to each loading stage are summarized in the loading order to form a force change data sequence; The stress change data sequence is structured and integrated to generate a set of parameters characterizing the stress response characteristics of the roller pressing equipment during the loading process.

[0012] Secondly, embodiments of this application provide a roll forming stress analysis system, comprising: The state acquisition module is used to determine the relative displacement between each component and the corresponding support structure and the initial stress state of each component after the hydraulic cylinder force is applied to the roller pressing equipment, based on the equivalent spring model of the roller pressing equipment, preset boundary conditions and displacement constraints. The evolution module is used to gradually apply external loads according to the relative displacement and the initial stress state to simulate the stress evolution process of each loading stage. In each stage, the boundary conditions and displacement constraints are updated according to the current stress state, and the corresponding stress evolution results are obtained. The information generation module is used to generate a set of force response information to characterize the force response characteristics of the roller pressing equipment based on the force evolution results.

[0013] Thirdly, embodiments of this application provide a roll forming device, the roll forming device including a processor and a memory, the memory storing a computer program, and the processor executing the computer program to implement the roll forming force analysis method of the first aspect described above.

[0014] Fourthly, embodiments of this application provide a computer-readable storage medium, wherein when the computer program is executed on a processor, it implements the roller pressure analysis method of the first aspect described above.

[0015] The embodiments of this application have the following beneficial effects: The roller pressing force analysis method of this application, after applying the hydraulic cylinder force to the roller pressing equipment, can accurately determine the relative displacement and initial stress state between each component and the corresponding support structure in the equipment through an equivalent spring model, boundary conditions, and displacement constraints; subsequently, external loads are gradually applied to simulate the force evolution process of each loading stage, and the boundary conditions and displacement constraints are dynamically updated according to the current stress state at each stage to obtain the force evolution results of each stage; based on the force evolution results of the entire process, a set of force response information that can characterize the force response characteristics of the equipment is further generated. The roller pressing force analysis method of this application realizes continuous modeling and tracking analysis of multi-stage physical boundaries and working conditions, which greatly improves the efficiency of force analysis of roller pressing equipment and provides support for process design, structural optimization, and parameter debugging. Attached Figure Description

[0016] To more clearly illustrate the technical solutions of the embodiments of this application, the accompanying drawings used in the embodiments will be briefly introduced below. It should be understood that the following drawings only show some embodiments of this application and should not be regarded as a limitation of the scope. For those skilled in the art, other related drawings can be obtained based on these drawings without creative effort.

[0017] Figure 1 A schematic diagram of the theoretical calculation model in the roll pressing force analysis method of this application is shown; Figure 2 This diagram illustrates the parameter settings of the theoretical model in the roll pressing force analysis method according to an embodiment of this application. Figure 3 A flowchart of a roll-pressing stress analysis method according to an embodiment of this application is shown; Figure 4 This paper shows a schematic diagram of the change in bearing clearance under the initial state in the roll pressing force analysis method of the present application embodiment; Figure 5 This paper shows a schematic diagram of the change in bearing clearance under the condition of gradually increasing bonding force in the roll pressing force analysis method of the present application embodiment; Figure 6 This paper shows a schematic diagram of the change in bearing clearance when the bonding force exceeds the first critical value in the roll pressing force analysis method of the present application embodiment; Figure 7 This paper shows a schematic diagram of the change in bearing clearance when the bonding force exceeds the second critical value in the roll pressing force analysis method of the present application embodiment; Figure 8 This diagram illustrates the clearance closure in the roll pressing force analysis method of this application embodiment; Figure 9This paper shows a schematic diagram of the influence curve of the bonding force on the rolling force in the roll pressing force analysis method of the present application embodiment; Figure 10 This paper shows a schematic diagram illustrating the changes in bearing clearance under different bonding forces in the roll pressing force analysis method of this application embodiment; Figure 11 A schematic diagram of a structure in the roll pressing force analysis method of this application is shown. Detailed Implementation

[0018] The technical solutions in the embodiments of this application will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some embodiments of this application, and not all embodiments.

[0019] The components of the embodiments of this application described and illustrated in the accompanying drawings can be arranged and designed in a variety of different configurations. Therefore, the following detailed description of the embodiments of this application provided in the drawings is not intended to limit the scope of the claimed application, but merely to illustrate selected embodiments of the application. All other embodiments obtained by those skilled in the art based on the embodiments of this application without inventive effort are within the scope of protection of this application.

[0020] In the following text, the terms "comprising," "having," and their cognates, which may be used in various embodiments of this application, are intended only to indicate a particular feature, number, step, operation, element, component, or combination thereof, and should not be construed as primarily excluding the presence of one or more other features, numbers, steps, operations, elements, components, or combinations thereof, or adding the possibility of one or more combinations thereof. Furthermore, the terms "first," "second," "third," etc., are used only for distinguishing descriptions and should not be construed as indicating or implying relative importance.

[0021] Unless otherwise specified, all terms used herein (including technical and scientific terms) shall have the same meaning as commonly understood by one of ordinary skill in the art to which the various embodiments of this application pertain. Terms (such as those defined in commonly used dictionaries) shall be interpreted as having the same meaning as in their contextual meaning in the relevant technical field and shall not be construed as having an idealized or overly formal meaning, unless clearly defined in the various embodiments of this application.

[0022] The following detailed description of some embodiments of this application is provided in conjunction with the accompanying drawings. Unless otherwise specified, the following embodiments and features can be combined with each other.

[0023] Considering the problems of low modeling accuracy, difficulty in tracking the force evolution process, and lack of dynamic response data support in the stress analysis of existing roll forming equipment, a new stress analysis method for roll forming equipment is proposed. This method constructs a parametric theoretical model by performing linear stiffness equivalence treatment on key components. Combined with staged loading conditions, it analyzes the relative displacement, structural boundary changes, and internal mechanical responses of each roll shaft and bearing housing under the action of cylinder thrust and external loads. This achieves dynamic stress evolution modeling of the roll forming equipment, greatly improving the efficiency of stress analysis and providing support for the process design, structural optimization, and on-site commissioning of roll forming equipment. The external load, also known as the overlapping force, is the force additionally applied to the roll system or related components by external loading devices (such as hydraulic cylinders, mechanical pressure heads, etc.). This force is usually applied along the rolling direction or perpendicular to the roll axis.

[0024] The following examples illustrate the method for analyzing the stress on the roller.

[0025] In an optional embodiment, the following sub-steps are included before step S100: S001, obtain the structural parameters of each component in the roller pressing equipment, and calculate the equivalent stiffness parameters of each component based on the structural parameters.

[0026] Roll forming equipment refers to industrial machinery used for the continuous rolling and forming of materials such as sheet and strip metals. It typically includes multiple paired work rolls, support rolls, wedge assemblies, diaphragm assemblies, bearing housings, and other key components. A component refers to the structural unit that makes up the equipment, such as wedges for pressure and positioning, diaphragms providing flexible connections, and roller systems for transmitting loads. Each component needs to be modeled as an independent unit in simulation calculations. Structural parameters are a set of physical quantities characterizing a component's ability to resist deformation in the direction of force, including the elastic modulus, the effective cross-sectional area in the direction of force, and the component's original length. Equivalent stiffness parameters are linear stiffness values ​​derived from structural parameters, characterizing the elastic response characteristics of a component, and are used to replace complex structures in simplified models for linear mechanical simulation.

[0027] As an example, for the wedge and diaphragm components in the rolling mill, their respective material elastic modulus, effective cross-sectional area along the rolling direction, and original length in the unloaded state are first determined. Subsequently, based on a preset equivalent stiffness calculation model, the equivalent stiffness parameters of each component are calculated.

[0028] In one optional implementation, step S001 includes the following sub-steps: Obtain the elastic modulus, effective cross-sectional area along the direction of force, and original length of each component.

[0029] Among them, the elastic modulus is a basic physical parameter for measuring the stiffness of a component material, used to describe the stress response of the material under unit strain; the effective cross-sectional area represents the cross-sectional size of the component that participates in bearing the load in the direction of force; and the original length is the reference length of the component in the unloaded state.

[0030] Based on the elastic modulus, cross-sectional area, and original length, the equivalent stiffness parameters of each component are calculated according to the preset equivalent stiffness calculation model.

[0031] The equivalent stiffness calculation model refers to a simplified mechanical expression based on one-dimensional linear elasticity theory, used to calculate the linear stiffness of a component in the direction of force. It is often expressed in the following form: The standard expression for , where Indicates equivalent stiffness. For elastic modulus, The effective cross-sectional area in the direction of force application. This is the original length.

[0032] As an example, for the diaphragm component and the wedge component, their structural parameters can be substituted into the above expression in sequence to obtain the corresponding equivalent stiffness parameters. This stiffness parameter serves as the core parameter when constructing the equivalent spring model, and together with the stiffness values ​​of other components, it constitutes the basis for the overall force distribution of the system.

[0033] S002, Based on the equivalent stiffness parameters, establish an equivalent spring model representing the force relationship between components.

[0034] The equivalent spring model refers to simplifying the force relationship between complex structural components into a set of spring connections by utilizing the equivalent characteristics of spring elements.

[0035] As an example, a spring model frame is constructed based on the equivalent stiffness parameters of each component, through node connection relationships and stiffness assignment, so that the forces between the components can be quantitatively analyzed through this model.

[0036] In one optional implementation, step S002 includes the following sub-steps: The force path of the wedge component in the roller pressing equipment can be equivalently represented as a first equivalent spring structure set between the bearing seats in the roller pressing equipment.

[0037] Among them, the wedge component refers to the structural unit set in the roll forming system to bear and transmit the pressure between the rolls. The first equivalent spring structure refers to an ideal spring used to simulate the force behavior of the wedge component, with its two ends connected between the bearing seats to capture the deformation and load response of the wedge component in the direction of force.

[0038] As an example, the connection points at both ends of the wedge member are identified, and a first equivalent spring structure spanning between the bearing seats is constructed in the equivalent spring model according to the force path to simulate the deformation behavior and force transmission path of the member.

[0039] The force path of the diaphragm component in the roller pressing equipment can be equivalently represented as a second equivalent spring structure set between adjacent rollers in the roller pressing equipment.

[0040] The diaphragm component refers to the connecting structure used to connect the two rollers and transmit force and displacement. The second equivalent spring structure refers to the spring unit used to simulate the force transmission of the diaphragm component between the two rollers; this structure reflects the force changes of the diaphragm under different loading stages.

[0041] As an example, a corresponding second equivalent spring structure is constructed according to the installation position and force direction of the diaphragm component, and the stiffness value of the spring is set in combination with its equivalent stiffness parameter so that it reflects the deformation characteristics of the diaphragm component.

[0042] Based on the equivalent stiffness parameters of each component, corresponding stiffness values ​​are set for the first and second equivalent spring structures to construct the equivalent spring model.

[0043] The stiffness value is a core parameter in the spring model, used to describe the spring element's response to external forces. Its value is jointly determined by the material and geometric parameters of the component. As an example, for the wedge and diaphragm components, their equivalent stiffness parameters are called, and the spring stiffness values ​​of the first and second equivalent spring structures are set accordingly, so that static equilibrium analysis can be performed in subsequent steps.

[0044] After obtaining the equivalent stiffness parameters of each component and establishing the corresponding equivalent spring model, this application constructs a three-roll theoretical calculation model for subsequent mechanical analysis to further clarify the modeling approach and physical implementation path. It should be noted that in practical applications, the number of rolls in the rolling mill can be adjusted according to specific process requirements and is not limited to three rolls. However, for ease of explanation, a three-roll system will be used as an example in the following description.

[0045] like Figure 1 The diagram shown is a schematic representation of the theoretical calculation model used in the embodiments of this application. The model comprises the following structural components: Roller structure: consists of three rolls, labeled as follows No. roller, No. 1 roller and Roller No. 1

[0046] Roll gap adjustment device: A wedge device is installed between adjacent rolls, which is equivalent to a stiffness of [missing information]. The spring element is used to simulate its ability to control the roll gap.

[0047] Diaphragm structure: Located between adjacent rollers, equivalent to a stiffness of Spring elements are used for cushioning and pressure isolation.

[0048] Bearing housing structure: Each roll has a bearing housing at both ends to support and allow the roll to rotate.

[0049] Clearance setting: In the initial state, there is a symmetrical free clearance between each roll and its bearing housing.

[0050] This model simplifies the roll gap maintaining device, such as the wedges between bearing housings, to a rigidity-based design. The spring structure; at the same time, the diaphragm between the rollers is simplified to a stiffness of The spring structures described above are used to simulate the elastic deformation behavior of the wedge and diaphragm in the force path and their load transfer characteristics. Among them, and The value of can be derived from the elastic modulus of the wedge and diaphragm materials, the effective cross-sectional area along the force direction, and the original length, using the aforementioned equivalent stiffness calculation model; alternatively, its equivalent stiffness parameter can be determined through experimental testing. Under the set operating conditions, the hydraulic cylinder first applies a force, at which point... The right side of the roller is subject to unidirectional support constraint, causing deformation of the diaphragm and wedge structure due to pressure, and consequently changing the clearance inside the bearing. Subsequently, after the diaphragm is stably rolled, it will... The lamination stage begins after the first roller, at which point... The roll is further subjected to external loads (coating force) from the external process. The core purpose of this theoretical calculation model is to determine the influence of the coating force on the rolling force on the diaphragm and its response to changes in bearing clearance before and after the equipment is subjected to the coating force.

[0051] Based on this, in order to further clarify the mechanical relationships between the components: like Figure 2 As shown, the stiffness of the wedge is The stiffness of the diaphragm is ; and The wedge pressure and diaphragm pressure between the rollers are respectively ; and The wedge pressure and diaphragm pressure between the rollers are respectively ; The hydraulic cylinder force is F, and the overlapping force is unidirectional support force is ; In the initial state (when the rollers are not subjected to any force), the left and right clearances of each roller are all w; Taking the positive x-axis as positive, assume the absolute displacement of each component: The absolute displacements of the roller and the bearing housing are respectively , ; , The absolute displacements of the roller and the bearing housing are respectively , and , .

[0052] and then, , , The relative displacements of the rollers relative to their respective bearing housings are as follows: .

[0053] After completing the construction and explanation of the above three-roller theoretical calculation model, to facilitate understanding of the entire force analysis process, as follows: Figure 3 As shown, this application provides a method for analyzing the stress of a rolling mill. Exemplarily, this method includes the following steps: Step S100: After applying the hydraulic cylinder force to the roller pressing equipment, determine the relative displacement between each component and the corresponding support structure, as well as the initial stress state of each component, based on the equivalent spring model of the roller pressing equipment, the preset boundary conditions, and the displacement constraints.

[0054] The equivalent spring model refers to treating key components inside the rolling mill, such as wedges and composite diaphragms, as equivalent to springs and assigning them their respective linear stiffness parameters. , Boundary conditions are used to reflect the mechanical coupling relationship between components in a multi-roll system; boundary conditions refer to the specific limitations on the physical constraints such as the fit and clearance between the ends of each roll shaft and the bearing housing in the analysis model, often including roll end fixing and clearance size setting; displacement constraints limit the maximum allowable relative displacement range of each component under initial assembly or stress conditions. Components refer to parts that participate in the transmission of force, such as rolls, wedges, and diaphragms; support structures refer to load-bearing components that provide positioning, constraint, and force distribution for the above components. For example, bearing housings.

[0055] Demonstratively, under the action of the hydraulic cylinder thrust F, the key physical objects in the roller pressing equipment are first parametrically abstracted to construct an equivalent model that can be used for static analysis. Taking the initial stage (i.e., Step 1) as an example, the overlapping force at this time... Under the action of the hydraulic cylinder thrust F, the roll shaft of roll No. 1 contacts the left end face of the bearing housing, roll No. 2 has clearance on both sides, and the roll shaft of roll No. 3 contacts the right end face of the bearing housing. At this time, the external overlapping force... The system has just entered the initial loading condition for stress analysis. The structural distribution and contact boundaries in this state are as follows: Figure 4 As shown.

[0056] In an optional embodiment, step S100 includes the following sub-steps: S101, construct the set of static equilibrium equations corresponding to the equivalent spring model.

[0057] The static equilibrium equations refer to the mathematical expressions established based on the equilibrium conditions of the mechanical system and Hooke's law. These equations describe the interaction relationships and displacement transmission paths at various force-bearing points in a multi-roller system, including the force equilibrium equations, displacement definition equations, and spring constitutive equations. As an example, the equations are expressed as follows: Force equilibrium equations:

[0058]

[0059]

[0060] Displacement definition equation:

[0061]

[0062]

[0063] Constitutive equation of spring:

[0064]

[0065]

[0066]

[0067] The above expression incorporates all key mechanical variables (rolling force). wedge force Coupling force Support force Relative displacement All of these are incorporated into a unified equation system to better solve the static equilibrium equations in subsequent steps.

[0068] S102, combining the preset boundary conditions and displacement constraints, solve the static equilibrium equations simultaneously.

[0069] Among them, the preset boundary conditions refer to the hydraulic cylinder loading stage. Roller No. 3 fits against the right end bearing housing. The clearance between roller shaft 3 and roller body is ( The left end of roller shaft No. 1 is in contact with the bearing housing with a clearance of [missing information]. The initial clearance between the rollers is maintained; the simultaneous solution refers to substituting the above boundary conditions into the mechanical equations and using linear algebra to solve for each unknown quantity.

[0070] As an example, substituting the above boundary conditions into the displacement definition, we can obtain the relative displacement between roller 1 and the bearing housing as follows: The relative displacement between roller No. 3 and the bearing housing is Since there is clearance on both sides of roll No. 2, and considering the physical conditions, the rolling force on both sides is equal. .

[0071] S103. Based on the solution results, obtain the relative displacement results of each component with respect to the supporting structure, as well as the initial stress state of each component.

[0072] The relative displacement result refers to the offset of the center of each roller shaft relative to the bearing housing. The initial stress state refers to the initial values ​​of the main mechanical parameters such as rolling force, wedge extrusion force, and support force.

[0073] As an example, we can obtain: Initial rolling force:

[0074] Initial value of wedge clamping pressure:

[0075] Support force of No. 3 roller bearing housing: Coupling force:

[0076] Each roller moves relative to the bearing seat: ,

[0077] Step S200: Based on the relative displacement and initial stress state, apply external loads step by step to simulate the stress evolution process at each loading stage. At each stage, update the boundary conditions and displacement constraints according to the current stress state and obtain the corresponding stress evolution results.

[0078] The external load refers to the bonding force exerted by the loading device on the laminated film, rolls, or a specific part. Also known as additional force, through With increasing load, the equipment undergoes a multi-stage physical evolution from its initial stress state to its fully constrained state. The loading stage refers to... The process of gradually increasing from 0 to 2F can be understood as follows: the bonding force is transmitted by the film material during rolling between the rolls. That is, the bonding force is the force transmitted from the roll surface of the next roll to the film material during bonding. The source of this force is the rolling and squeezing of the film material at its designated position. If no film material is rolled in this rolling zone, there will be a gap between the two rolls, and no force will be transmitted. Alternatively, the force can be understood as the source of the force being the hydraulic cylinder force or the reaction force transmitted from the hydraulic cylinder force to the fixed end, which then causes the film between the previous roll and this roll to bond, and this force is along the rolling direction.

[0079] Demonstratively, with the bonding force As the force and displacement increase from 0, the stress and displacement states sequentially go through the following four stages: Step 2: The bonding force gradually increases, but has not yet reached the critical value (range from 0 to...). Roller 1 remains tightly against the left end face of the bearing housing, roller 3 remains tightly against the right end face of the bearing housing, and roller 2 maintains clearance at both ends. There is no relative displacement between the rollers and the bearing housing, and the stress condition remains unchanged. Only the unidirectional support force decreases linearly with the bonding force. Figure 5 As shown; Step 3: The bonding force further increases and exceeds the first critical value (within the range of...). Roller 3 is pushed and displaced to the left, its roll shaft disengaging from the right end face of the bearing housing and entering a double-sided clearance state. Roller 1 remains tightly attached to the left end face of the bearing housing. Figure 6 As shown; Step 4: The bonding force continues to increase to the second critical value. Roll 3's roller shaft begins to contact the left end face of the bearing housing, followed by roll 2's roller shaft, which gradually also contacts the left end face. The system structure changes from a "double-sided clearance" state to a "multi-point contact" state, entering the transition support condition. During this stage, a critical change occurs in the force boundary. Physically, roll 1 remains in continuous contact with the left end face of the bearing housing, while roll 3 re-contacts the left end face of the bearing housing, gradually achieving multi-point force application. Figure 7 As shown; Step 5: The bonding strength is further increased to The roll shafts of rolls 2 and 3 are stably in contact with the left end face of the bearing housing, and roll shaft 1 remains in contact with the left end face, forming a fully rigid support structure. In this state, all roll shafts maintain rigid contact with the left end face of the bearing housing, and all clearances within the system are completely closed, such as... Figure 8 As shown.

[0080] In an optional embodiment, step S200 includes the following sub-steps: S201, determine the step size of the applied load change based on the relative displacement and the initial stress state.

[0081] The variation step size refers to the total applied load-combining force. During the adjustment process, the physical state transition points (such as the disappearance of clearance or changes in contact relationship) are considered. The increasing interval should be divided reasonably.

[0082] Exemplary, The increasing intervals are divided into the following categories: First threshold (vanishing point of the gap):

[0083] in, For the equivalent stiffness of the wedge, The equivalent stiffness of the laminated diaphragm is given by w, the initial clearance is given by F, and the hydraulic cylinder thrust is given by F. This threshold corresponds to the disappearance of the clearance at the right end of roller 3, transitioning to a "double clearance" state.

[0084] Second threshold (fully constrained critical point):

[0085] This value corresponds to the left ends of rollers 3 and 2 successively contacting the bearing housing, and the system entering a fully constrained state.

[0086] S202, the applied load is gradually increased according to the changing step size. In each loading stage, the boundary conditions and displacement constraints are updated based on the stress state and relative displacement results of the previous loading stage.

[0087] The dynamic adjustment of boundary conditions and displacement constraints ensures that the mechanical analysis at each stage reflects actual physical changes. The specific stages are as follows: In Step 2, the right end of roller 3 remains in contact with the bearing housing, in the initial boundary state.

[0088] Substituting the boundary conditions into the displacement definition, we get:

[0089]

[0090]

[0091] By solving the system of equations, we can obtain: Rolling force:

[0092] This formula represents the specific size of the hydraulic cylinder thrust distributed to the two rolling zones under the elastic coupling effect of the wedge and the composite diaphragm.

[0093] Wedge extrusion pressure:

[0094] This formula reflects the contribution of the wedge end to the extrusion force of the system, which is affected by both the hydraulic cylinder thrust and the diaphragm stiffness.

[0095] Each roller moves relative to the bearing seat:

[0096]

[0097]

[0098] Support force of No. 3 roller bearing housing:

[0099] Coating force:

[0100] This indicates the residual reaction force borne by the right end of roller No. 3, as... It increases and decreases linearly.

[0101] In Step 3: In this stage, the right end clearance of roller 3 is opened, and there is clearance between both ends of roller 3 and the bearing housing, entering the "double clearance" state.

[0102] Substituting the boundary conditions into the displacement definition, we get:

[0103]

[0104] Due to changes in the system's support structure, the rolling force and wedge extrusion pressure are directly adjusted with Ff. Solving the simultaneous equations, we can obtain: Rolling force:

[0105] At this point, the rolling force is entirely supplied by the external load. Dominant, decoupled from the stiffness of the composite diaphragm and the thrust of the hydraulic cylinder.

[0106] Wedge extrusion pressure:

[0107] This indicates that the remaining portion of the system support, which is borne by the wedge iron, gradually decreases as Ff increases.

[0108] Each roller moves relative to the bearing seat:

[0109]

[0110]

[0111] Support force of No. 3 roller bearing housing:

[0112] Coating force:

[0113] The linear decrease continues, reflecting the weakening of the support at the right end.

[0114] In Step 4: The left ends of rollers 3 and 2 successively come into contact with the bearing housing, and the system is about to enter a fully constrained state.

[0115] Substituting the boundary conditions into the displacement definition, we get:

[0116]

[0117]

[0118] The constraint relationship converges to fully rigid contact, and the rolling force and wedge extrusion force are fixed in the simultaneous equations as follows: Rolling force:

[0119] The hydraulic cylinder thrust is entirely transmitted through the stiffness of the composite diaphragm, becoming the upper limit rolling force of the system.

[0120] Wedge extrusion pressure:

[0121] Each roller moves relative to the bearing seat:

[0122] At this point, the force borne by the wedge reaches its upper limit, and is distributed in coordination with the hydraulic cylinder thrust and diaphragm stiffness.

[0123] Support force of No. 3 roller bearing housing:

[0124] Coating force:

[0125] S203, under the updated boundary conditions and displacement constraints, solve for the stress state in the current loading stage and obtain the stress evolution results in the current loading stage.

[0126] The solution to the stress state includes not only the numerical calculation of rolling force, wedge extrusion force, and support force, but also the calculation of each step. The relationship between structural parameters, displacement and mechanical response.

[0127] Exemplary, each loading step is based on , , , , The parameters are used as input to the model. After constraint updates and formula calculations, the complete force distribution and relative displacement are obtained.

[0128] Step S300: Based on the force evolution results, generate a set of force response information to characterize the force response characteristics of the roller pressing equipment.

[0129] The stress evolution result refers to the complete record of the changes in key mechanical parameters such as rolling force, wedge extrusion force, and support force as a function of the applied load Ff, obtained through multi-stage loading, static equilibrium at each stage, and boundary constraint solutions. The stress response information set is an orderly integration of the above-mentioned complete process data, providing comprehensive support for stress performance evaluation, engineering design, and condition monitoring of the roll forming equipment.

[0130] By demonstrating how continuous loading and phased calculations can be used to systematically collect the physical state and formula results of each stage, thereby comprehensively recording and reflecting the mechanical behavior characteristics of the equipment throughout the loading process.

[0131] In an optional embodiment, step S300 includes the following sub-steps: S301, the force evolution results corresponding to each loading stage are summarized in the loading order to form a force change data sequence.

[0132] The force change data sequence refers to the continuous recording of the changes in each mechanical variable as the applied load Ff gradually increases, including rolling force, wedge compression force, support force, and relative displacement of each axis. Demonstratively, in Step 5: the system enters a fully constrained state, and all clearances are closed.

[0133] The boundary conditions are:

[0134]

[0135]

[0136]

[0137] Relative displacement relationship:

[0138]

[0139]

[0140] By solving the system of equations, we can obtain: Rolling force:

[0141] The wedge is subjected to compressive stress:

[0142] Each roller moves relative to the bearing seat:

[0143] Support force of No. 3 roller bearing housing:

[0144] Coating force:

[0145] S302 performs structured integration processing on the force change data sequence to generate a set of parameters characterizing the force response characteristics of the roller pressing equipment during the loading process.

[0146] Among them, structured integration processing refers to organizing and outputting the response force change data sequence according to variable categories, and clarifying the extreme values, intervals and inflection points of mechanical parameters at each stage.

[0147] As an example, the rolling force, wedge compressive force, support force, and relative displacement of all loading steps are arranged according to... Organize them sequentially to form a set of mechanical response characteristics.

[0148] Based on the structured data and Steps 1-5, the influence curve of the bonding force on the rolling force was further plotted (e.g., Figure 9 As shown in the figure, the evolution of rolling force under different loading stages is intuitively displayed. Meanwhile, the changes in bearing clearance under different bonding forces are shown in the figure. Figure 10 As shown, the entire process of the system clearance from initial distribution to final convergence is clearly reflected. Figure 9 and Figure 10 Together, they characterize the force-displacement response properties of this method under multi-stage loading conditions, providing theoretical and data basis for equipment parameter control and operation monitoring.

[0149] Figure 11 A schematic diagram of a roll pressure stress analysis system according to an embodiment of this application is shown. Exemplarily, the roll pressure stress analysis system 100 includes: The state acquisition module 110 is used to determine the relative displacement between each component and the corresponding support structure and the initial stress state of each component after the hydraulic cylinder force is applied to the roller pressing equipment, based on the equivalent spring model of the roller pressing equipment, preset boundary conditions and displacement constraints. Evolution module 120 is used to gradually apply external loads according to the relative displacement and the initial stress state to simulate the stress evolution process of each loading stage. In each stage, the boundary conditions and displacement constraints are updated according to the current stress state, and the corresponding stress evolution results are obtained. The information generation module 130 is used to generate a set of force response information to characterize the force response characteristics of the roller pressing equipment based on the force evolution results.

[0150] It is understood that the system in this embodiment corresponds to the method in the above embodiments, and the options in the above embodiments are also applicable to this embodiment, so they will not be described again here.

[0151] This application also provides a rolling mill apparatus, exemplary of which includes a processor and a memory, wherein the memory stores a computer program, and the processor, by running the computer program, causes the rolling mill apparatus to perform the functions of the various modules in the above-described method or system.

[0152] The processor can be an integrated circuit chip with signal processing capabilities. The processor can be a general-purpose processor, including at least one of a Central Processing Unit (CPU), Graphics Processing Unit (GPU), Network Processor (NP), Digital Signal Processor (DSP), Application-Specific Integrated Circuit (ASIC), Field-Programmable Gate Array (FPGA), or other programmable logic devices, discrete gate or transistor logic devices, or discrete hardware components. The general-purpose processor can be a microprocessor or any conventional processor, capable of implementing or executing the methods, steps, and logic block diagrams disclosed in the embodiments of this application.

[0153] The memory can be, but is not limited to, Random Access Memory (RAM), Read Only Memory (ROM), Programmable Read-Only Memory (PROM), Erasable Programmable Read-Only Memory (EPROM), Electrically Erasable Programmable Read-Only Memory (EEPROM), etc. The memory is used to store computer programs, and the processor can execute the computer programs accordingly after receiving execution instructions.

[0154] This application also provides a computer-readable storage medium for storing the computer program used in the aforementioned roller pressing equipment. For example, the computer-readable storage medium may include, but is not limited to, various media capable of storing program code, such as a USB flash drive, a portable hard drive, a read-only memory (ROM), a random access memory (RAM), a magnetic disk, or an optical disk.

[0155] In the several embodiments provided in this application, it should be understood that the disclosed systems and methods can also be implemented in other ways. The system embodiments described above are merely illustrative. For example, the flowcharts and block diagrams in the accompanying drawings show the architecture, functionality, and operation of possible implementations of systems, methods, and computer program products according to various embodiments of this application. In this regard, each block in a flowchart or block diagram may represent a module, segment, or portion of code containing one or more executable instructions for implementing a specified logical function. It should also be noted that, as an alternative implementation, the functions marked in the blocks may occur in a different order than those marked in the drawings. For example, two consecutive blocks may actually be executed substantially in parallel, and they may sometimes be executed in reverse order, depending on the functions involved. It should also be noted that each block in the block diagram and / or flowchart, and combinations of blocks in the block diagram and / or flowchart, can be implemented using a dedicated hardware-based system that performs the specified function or action, or using a combination of dedicated hardware and computer instructions.

[0156] In addition, the functional modules or units in the embodiments of this application can be integrated together to form an independent part, or they can exist as a separate module, or two or more modules can be integrated to form an independent part.

[0157] If the aforementioned functions are implemented as software functional modules 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 application, in essence, 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 smartphone, 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 application.

[0158] The above description is merely a specific embodiment of this application, but the scope of protection of this application is not limited thereto. Any changes or substitutions that can be easily conceived by those skilled in the art within the scope of the technology disclosed in this application should be included within the scope of protection of this application.

Claims

1. A method for analyzing the stress of a roller under pressure, characterized in that, The method includes: After applying the hydraulic cylinder force to the roller pressing equipment, the relative displacement between each component and the corresponding support structure and the initial stress state of each component are determined according to the equivalent spring model of the roller pressing equipment, the preset boundary conditions and displacement constraints. Based on the relative displacement and the initial stress state, external loads are applied step by step to simulate the stress evolution process at each loading stage. At each stage, the boundary conditions and displacement constraints are updated according to the current stress state, and the corresponding stress evolution results are obtained. Based on the force evolution results, a set of force response information is generated to characterize the force response characteristics of the roller pressing equipment.

2. The method for analyzing the stress of roller pressing according to claim 1, characterized in that, Before applying the hydraulic cylinder force to the roller pressing equipment, the process includes: Obtain the structural parameters of each component in the roller pressing equipment, and calculate the equivalent stiffness parameters of each component based on the structural parameters; Based on the equivalent stiffness parameters, an equivalent spring model representing the force relationship of each component is established.

3. The method for analyzing the stress of roller pressing according to claim 2, characterized in that, The step of obtaining the structural parameters of each component in the roller pressing equipment and calculating the equivalent stiffness parameters of each component based on the structural parameters includes: The elastic modulus, effective cross-sectional area along the force direction, and original length of each component are obtained. Based on the elastic modulus, cross-sectional area, and original length, the equivalent stiffness parameters corresponding to each component are calculated according to a preset equivalent stiffness calculation model.

4. The method for analyzing the stress of roller pressing according to claim 2, characterized in that, The step of establishing an equivalent spring model representing the force relationship between the components based on the equivalent stiffness parameters includes: The force path of the wedge member in the roller pressing equipment can be equivalently represented as a first equivalent spring structure set between the bearing seats in the roller pressing equipment; The force path of the diaphragm component in the roller pressing equipment can be equivalently represented as a second equivalent spring structure set between adjacent rollers in the roller pressing equipment; Based on the equivalent stiffness parameters corresponding to each component, corresponding stiffness values ​​are set for the first equivalent spring structure and the second equivalent spring structure to construct the equivalent spring model.

5. The method for analyzing the stress of roller pressing according to claim 1, characterized in that, After applying hydraulic cylinder force to the roller pressing equipment, the relative displacement between each component and its corresponding support structure, as well as the initial stress state of each component, is determined based on the equivalent spring model of the roller pressing equipment, preset boundary conditions, and displacement constraints. This includes: Construct a set of static equilibrium equations corresponding to the equivalent spring model; By combining the preset boundary conditions and displacement constraints, the static equilibrium equations are solved simultaneously. Based on the solution results, the relative displacement results of each component with respect to the corresponding support structure, as well as the initial stress state of each component, are obtained.

6. The method for analyzing the stress of roller pressing according to claim 1, characterized in that, The process involves progressively applying external loads based on the relative displacement and the initial stress state to simulate the stress evolution process at each loading stage. At each stage, the boundary conditions and displacement constraints are updated according to the current stress state, and the corresponding stress evolution results are obtained, including: The variation step size of the applied load is determined based on the relative displacement and the initial stress state. The applied load is gradually increased according to the changing step size. In each loading stage, the boundary conditions and displacement constraints are updated based on the force state and relative displacement results of the previous loading stage. Under the updated boundary conditions and displacement constraints, the stress state of the current loading stage is solved to obtain the stress evolution result of the current loading stage.

7. The method for analyzing the stress of roller pressing according to claim 1, characterized in that, The process of generating a set of force response information based on the force evolution results to characterize the force response characteristics of the roller pressing equipment includes: The force evolution results corresponding to each loading stage are summarized in the loading order to form a force change data sequence; The stress change data sequence is structured and integrated to generate a set of parameters characterizing the stress response characteristics of the roller pressing equipment during the loading process.

8. A roller pressing force analysis system, characterized in that, include: The state acquisition module is used to determine the relative displacement between each component and the corresponding support structure and the initial stress state of each component after the hydraulic cylinder force is applied to the roller pressing equipment, based on the equivalent spring model of the roller pressing equipment, preset boundary conditions and displacement constraints. The evolution module is used to gradually apply external loads according to the relative displacement and the initial stress state to simulate the stress evolution process of each loading stage. In each stage, the boundary conditions and displacement constraints are updated according to the current stress state, and the corresponding stress evolution results are obtained. The information generation module is used to generate a set of force response information to characterize the force response characteristics of the roller pressing equipment based on the force evolution results.

9. A roller pressing device, characterized in that, The roller pressing equipment includes a processor and a memory, the memory storing a computer program, and the processor executing the computer program to implement the roller pressing force analysis method according to any one of claims 1-7.

10. A computer-readable storage medium, characterized in that, It stores a computer program, which, when executed on a processor, implements the roll pressure analysis method according to any one of claims 1-7.

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