Optimization method and equipment for manufacturing process of grooved curved plate based on numerical calculation
The numerical calculation method optimizes the manufacturing process of grooved curved plates by constructing digital models and simulating forming processes, addressing the limitations of physical testing to enhance efficiency and accuracy in furniture production.
Patent Information
- Application Number
- CN202411206351.8
- Authority / Receiving Office
- CN · China
- Patent Type
- Patents(China)
- Current Assignee / Owner
- Filing Date
- 2024-08-30
- Publication Date
- 2024-12-27
- Estimated Expiration
- 2044-08-30
AI Technical Summary
The existing physical testing methods for manufacturing grooved curved plates are costly, time-consuming, and limited in simulating diverse environments, leading to inaccurate and inconsistent results, which is unsuitable for rapid prototyping and personalized furniture production.
A numerical calculation-based method and equipment that constructs digital models of the curved plate and mold, simulates the forming process, and optimizes grooving data based on stress distribution data to reduce production costs and improve testing efficiency, ensuring consistent results.
This approach reduces production costs, shortens the development cycle, and allows for rapid prototyping by accurately simulating complex stress states, enhancing the manufacturing process of grooved curved plates.
Smart Images

Figure CN118709458B_ABST
Abstract
Description
Technical Field
[0001] The invention relates to a method and equipment for optimizing the manufacturing process of a gong groove type curved plate based on numerical calculation, and belongs to the technical field of numerical simulation. Background Art
[0002] In the furniture industry, the gong groove perforated composite curved board manufacturing process is a widely used technology, which uses a gong machine or CNC equipment to gong groove holes on the composite curved board, so that the composite curved board can be bent and shaped.
[0003] At the same time, in order to ensure that the composite curved plate is not excessively deformed or damaged during the bending process, actual physical testing is generally required. However, there are some defects in the actual physical test method, which may affect the accuracy and application scope of the test results, as follows:
[0004] (1) Actual physical testing requires the production of actual samples, which not only consumes materials but also increases production costs. For products that require frequent design iterations, this cost can increase rapidly.
[0005] (2) When conducting actual physical tests, the process from sample production to completion of testing may take a long time, which is not suitable for situations where rapid prototyping is required, resulting in an inability to respond quickly to market demand.
[0006] (3) Actual physical tests can usually only be carried out under limited, preset conditions, which may not fully simulate the diverse environments and complex stress states that the product may encounter in actual use.
[0007] (4) The deformation of the curved plate obtained from the actual physical test needs to be analyzed and interpreted by professionals. Different testers may have different interpretations, which may lead to inconsistent final conclusions.
[0008] The information disclosed in this Background Art is only for understanding the background of the inventive concept and therefore it may include information that does not constitute the prior art. Summary of the invention
[0009] In response to the above problem or one of the above problems, an object of the present invention is to provide a method and equipment for optimizing the manufacturing process of grooved curved plates based on numerical calculation. By constructing a digital model of the curved plate, a digital model of the mold, a process simulation model, and a hole optimization model, the manufacturing process of the grooved curved plates based on numerical calculation is optimized, thereby effectively reducing production costs and reducing resource consumption; at the same time, it can improve testing efficiency and respond quickly to market demand, which is particularly suitable for scenarios that require rapid prototyping; and by using numerical simulation, it can fully simulate the diverse environments and complex stress states that the curved plates may encounter in actual use; and then according to the stress distribution data, the grooving data of the curved plates is set and adjusted, thereby avoiding the subjective judgment of the testers and ensuring the consistency of the final conclusions.
[0010] In response to the above problem or one of the above problems, the second purpose of the present invention is to provide a method and equipment for optimizing the manufacturing process of a grooved curved plate based on numerical calculation, apply numerical calculation simulation technology to the forming process of the grooved curved plate, and calculate the stress distribution data of the curved plate; at the same time, according to the target shape of the curved plate, a mold simulation object is constructed in a numerical simulation environment, so that the forming process can be simulated, and the stress size and distribution uniformity of the curved plate after bending and forming can be calculated, and then the forming difficulty and forming stability of the curved plate can be evaluated, thereby greatly shortening the process research and development cycle, without the need for large-scale capital investment or complex physical testing processes, and facilitating the promotion and use of the manufacturing process simulation method.
[0011] In response to the above problem or one of the above problems, the third object of the present invention is to provide a method and equipment for optimizing the manufacturing process of gong groove type curved plates based on numerical calculation, fully considering the stress distribution data of the curved plate, and selectively adjusting the grooving data of the curved plate, thereby effectively improving the internal stress distribution and reducing the rebound phenomenon, thereby achieving the optimization of the manufacturing process of gong groove type curved plates.
[0012] To achieve one of the above purposes, the first technical solution of the present invention is:
[0013] A method for optimizing the manufacturing process of a gong groove type curved plate based on numerical calculation comprises the following steps:
[0014] The first step is to model the curved plate based on the structural parameters of the curved plate using the pre-built digital model of the curved plate to obtain a plate simulation object for characterizing the curved plate.
[0015] The second step is to use the pre-built mold digital model to generate a mold simulation object based on the mold parameters and the panel simulation object;
[0016] The third step is to use the mold simulation object to apply pressure to the plate simulation object according to the pre-built process simulation model to obtain stress distribution data of the plate simulation object;
[0017] The fourth step is to use the pre-built hole optimization model to set and adjust the grooving data of the curved plate based on the stress distribution data, generate the grooving improvement data of the curved plate, and realize the optimization of the grooving curved plate manufacturing process based on numerical calculation.
[0018] After continuous exploration and experiments, the present invention realizes the optimization of the manufacturing process of the grooved curved plate based on numerical calculation by constructing a digital model of the curved plate, a digital model of the mold, a process simulation model, and a hole optimization model. Compared with the actual physical test method, the production cost can be effectively reduced and the resource consumption can be reduced. At the same time, the test efficiency can be improved, and the market demand can be responded quickly, which is particularly suitable for scenarios that require rapid prototyping. Moreover, numerical simulation can be used to fully simulate the diverse environments and complex stress states that the curved plate may encounter in actual use. Then, according to the stress distribution data, the grooving data of the curved plate can be set and adjusted to avoid subjective judgment by the test personnel and ensure the consistency of the final conclusion.
[0019] Furthermore, the present invention applies numerical calculation simulation technology to the forming process of the grooved curved plate, and calculates the stress distribution data of the curved plate, which has never been used in the design of the traditional curved composite curved plate forming process. At the same time, the present invention constructs a mold simulation object in a numerical simulation environment according to the target shape of the curved plate, so as to simulate the forming process, and calculate the stress size and distribution uniformity of the curved plate after bending and forming, and then evaluate the forming difficulty and forming stability of the curved plate. Therefore, the present invention can comprehensively improve and accurately simulate the manufacturing process of the grooved curved plate, which can greatly shorten the process research and development cycle, and does not require large-scale capital investment or complex physical experiments, which greatly improves the practicality and promotion potential of the simulation method of the grooved curved plate manufacturing process of the present invention.
[0020] Furthermore, the present invention fully considers the stress distribution data of the curved plate and chooses to adjust the grooving data of the curved plate, thereby effectively improving the internal stress distribution and reducing the rebound phenomenon; and can combine the adjustment method of the grooving spacing and depth of the filling layer in the existing furniture factory with the numerical calculation optimization, thereby realizing the comprehensive optimization of the process and breaking the previous prejudice of the grooving curved plate manufacturing process technology.
[0021] As the preferred technical measures:
[0022] In the first step, a method for obtaining a plate simulation object for characterizing the curved plate is as follows:
[0023] Step 11, establishing a curved plate graphical object according to the structural parameters of the curved plate;
[0024] The structural parameters include at least the length, width and height of the curved plate;
[0025] Step 12, calculating the mechanical property information of the curved plate based on the curved plate graphical object and the material data of the curved plate; the material data at least includes the material information of the panel and the material information of the interlayer filler;
[0026] Step 13, based on the mechanical property information, a global stiffness matrix is obtained to characterize the mass and mechanical properties of the curved plate;
[0027] Step 14, coupling the global stiffness matrix with the curved plate graphical object to obtain a plate simulation object.
[0028] As the preferred technical measures:
[0029] In the second step, the method of generating the mold simulation object according to the mold parameters and the plate simulation object using the pre-built mold digital object digital model is as follows:
[0030] Step 21, establishing an upper mold digital object and a lower mold digital object according to mold parameters and a panel simulation object; the mold parameters at least include upper mold information and lower mold information;
[0031] The upper mold information includes the length, width and thickness of the upper mold digital object;
[0032] The lower mold information includes the length, width and thickness of the lower mold digital object;
[0033] Step 22, setting the five degrees of freedom of the upper mold digital object to 0, only releasing its downward translational freedom; setting the six degrees of freedom of the lower mold digital object to 0;
[0034] Step 23, setting the contact surface between the upper mold digitized object and the lower mold digitized object to a normal phase hard contact tangential rough surface, and enabling the upper mold digitized object and the lower mold digitized object to slide relative to each other;
[0035] Step 24, generating a complete mold simulation object according to the degrees of freedom and contact surface information of the upper mold digital object and the lower mold digital object, so as to simulate the extrusion process of the plate simulation object.
[0036] As the preferred technical measures:
[0037] In the third step, according to the pre-built process simulation model, the mold simulation object is used to apply pressure to the plate simulation object, and the method for obtaining the stress distribution data of the plate simulation object is as follows:
[0038] Step 31, placing the panel simulation object between the upper mold digital object and the lower mold digital object;
[0039] Step 32, the upper mold digital object is translated downward, and the lower mold digital object remains fixed, so as to form a compressive force to squeeze the plate simulation object, so as to reproduce the mechanical behavior of the curved plate during the forming process;
[0040] Step 33, according to the pressure force and the global stiffness matrix, using a numerical method, solving the node displacement and strain displacement matrix of the plate simulation object;
[0041] Step 34, calculating the strain vector inside the panel simulation object according to the node displacement and the strain displacement matrix;
[0042] Step 35, based on the strain vector and the pre-constructed material elastic matrix, and according to the stress-strain formula, the stress distribution data of the panel simulation object is calculated.
[0043] As the preferred technical measures:
[0044] The material elasticity matrix is constructed as follows:
[0045] Step 351, obtaining material data of the curved plate, which at least includes material elastic modulus, material Poisson's ratio and isotropic material information;
[0046] Step 352, calculating the shear modulus of the plate simulation object based on the material elastic modulus and the material Poisson's ratio;
[0047] Step 353, establishing a final material elastic matrix according to the shear modulus and isotropic material information.
[0048] As the preferred technical measures:
[0049] The fourth step is to use the pre-built hole optimization model to set and adjust the slotting data of the curved plate based on the stress distribution data. The method for generating the improved data of the grooving of the curved plate is as follows:
[0050] Step 41, batch setting of several groups of slotting data;
[0051] The slotting data at least includes the slotting position and the slotting spacing;
[0052] Step 42, based on the slotting data, calculate and obtain a number of slotting angles;
[0053] Step 43, based on the slotting angle and in combination with the stress distribution data, a plurality of shear stresses are calculated;
[0054] Step 44, selecting a minimized shear stress from a plurality of shear stresses;
[0055] Step 45, taking the set of notching data corresponding to the minimized shear stress as the grooving improvement data of the curved plate.
[0056] As the preferred technical measures:
[0057] Step 42, according to the slotting data, the method for calculating the slotting angle is as follows:
[0058] Step 421, obtaining slotting data, which includes slotting position coordinates, slot depth and slot width;
[0059] Step 422, establishing a tangent equation passing through the slotting position point coordinates according to the slotting position point coordinates;
[0060] Step 423, based on the tangent line equation, establish an auxiliary line equation, so that the auxiliary line drawn according to the auxiliary line equation can pass through the slotting position point coordinates and be perpendicular to the tangent line, and the length of the auxiliary line is the slot depth;
[0061] Step 424, using half of the groove width as the offset distance, establishing the first parallel line equation and the second parallel line equation of the auxiliary line;
[0062] Step 425, based on the first parallel line equation and the second parallel line equation, extend the first parallel line and the second parallel line to form two sides of a slot; at the same time, based on the auxiliary line equation, calculate the angle between the auxiliary line and the horizontal axis as the slotting angle.
[0063] As the preferred technical measures:
[0064] Step 422, based on the slotting position point coordinates, a method for establishing a tangent line equation passing through the slotting position point coordinates is as follows:
[0065] Step 4221, determine the coordinates of the slotting position points;
[0066] Step 4222, based on the slotting position point coordinates, obtain two adjacent points close to the slotting position point coordinates and their coordinates, for estimating the direction of the tangent line;
[0067] Step 4223, using differential derivatives and the central difference formula, calculate the derivative of the slotting position point coordinates to obtain the tangent slope;
[0068] Step 4224, establish the tangent equation based on the tangent slope and the slotting position point coordinates and using the point-slope equation.
[0069] To achieve one of the above purposes, the second technical solution of the present invention is:
[0070] A method for optimizing the manufacturing process of a gong groove type curved plate based on numerical calculation includes the following contents:
[0071] Modeling is performed based on the structural parameters of the curved plate and the slotting data to obtain a plate simulation object for characterizing the curved plate;
[0072] Generate a mold simulation object according to mold parameters and plate simulation object;
[0073] Using the mold simulation object to apply pressure to the plate simulation object, and obtaining stress distribution data of the plate simulation object;
[0074] Based on the stress distribution data, the grooving data of the curved plate is adjusted to generate the improved grooving data of the curved plate, thus realizing the optimization of the manufacturing process of the grooving curved plate based on numerical calculation.
[0075] Therefore, the present invention uses numerical simulation technology, especially the principle of statics, to simulate the stamping process of the curved plate, which significantly improves efficiency and accuracy and reduces resource consumption compared with the traditional physical testing method. At the same time, the present invention can optimize the forming process of the composite curved plate, improve product quality, reduce production costs, and shorten the production cycle.
[0076] Furthermore, the application of the present invention can bring revolutionary progress to the custom furniture industry and meet the market demand for high-quality, personalized furniture.
[0077] To achieve one of the above purposes, the third technical solution of the present invention is:
[0078] A numerical calculation-based gong groove curved plate manufacturing process optimization device, comprising:
[0079] one or more processors;
[0080] A storage device for storing one or more programs;
[0081] When the one or more programs are executed by the one or more processors, the one or more processors implement the above-mentioned method for optimizing the manufacturing process of gong groove type curved plates based on numerical calculation.
[0082] Compared with the prior art solutions, the present invention has the following beneficial effects:
[0083] After continuous exploration and experiments, the present invention realizes the optimization of the manufacturing process of the grooved curved plate based on numerical calculation by constructing a digital model of the curved plate, a digital model of the mold, a process simulation model, and a hole optimization model. Compared with the actual physical test method, the production cost can be effectively reduced and the resource consumption can be reduced. At the same time, the test efficiency can be improved, and the market demand can be responded quickly, which is particularly suitable for scenarios that require rapid prototyping. Moreover, numerical simulation can be used to fully simulate the diverse environments and complex stress states that the curved plate may encounter in actual use. Then, according to the stress distribution data, the grooving data of the curved plate can be set and adjusted to avoid subjective judgment by the test personnel and ensure the consistency of the final conclusion.
[0084] Furthermore, the present invention applies numerical calculation simulation technology to the forming process of the grooved curved plate, and calculates the stress distribution data of the curved plate, which has never been used in the design of the traditional curved composite curved plate forming process. At the same time, the present invention constructs a mold simulation object in a numerical simulation environment according to the target shape of the curved plate, so as to simulate the forming process, and calculate the stress size and distribution uniformity of the curved plate after bending and forming, and then evaluate the forming difficulty and forming stability of the curved plate. Therefore, the present invention can comprehensively improve and accurately simulate the manufacturing process of the grooved curved plate, which can greatly shorten the process research and development cycle, and does not require large-scale capital investment or complex technical training, which greatly improves the practicality and promotion potential of the simulation method of the grooved curved plate manufacturing process of the present invention.
[0085] Furthermore, the present invention fully considers the stress distribution data of the curved plate and chooses to adjust the grooving data of the curved plate, thereby effectively improving the internal stress distribution and reducing the rebound phenomenon; and can combine the adjustment method of the grooving spacing and depth of the filling layer in the existing furniture factory with the numerical calculation optimization, thereby realizing the comprehensive optimization of the process and breaking the previous prejudice of the grooving curved plate manufacturing process technology. BRIEF DESCRIPTION OF THE DRAWINGS
[0086] Figure 1 A flow chart of a method for simulating the manufacturing process of a gong groove type curved plate according to the present invention;
[0087] Figure 2 A schematic diagram of a simulation effect of a mold simulation object and a plate simulation object of the present invention;
[0088] Figure 3 A schematic diagram of the positional relationship between the mold simulation object and the plate simulation object of the present invention;
[0089] Figure 4 A schematic diagram of the mold simulation object of the present invention applying extrusion force to the plate simulation object;
[0090] Figure 5 A schematic diagram of the size relationship between the mold simulation object and the plate simulation object of the present invention;
[0091] Figure 6 for Figure 5 A partial enlarged schematic diagram of the structure shown;
[0092] Figure 7 A schematic diagram of calculating the slotting angle of the present invention;
[0093] Figure 8 A schematic diagram of stress distribution during the forming process of the curved plate of the present invention;
[0094] Fig. 9 It is a deformation schematic diagram during the forming process of the curved plate of the present invention. DETAILED DESCRIPTION
[0095] In order to make the purpose, technical solution and advantages of the present invention more clearly understood, the present invention is further described in detail below in conjunction with the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are only used to explain the present invention and are not intended to limit the present invention.
[0096] On the contrary, the present invention covers any substitution, modification, equivalent method and scheme made on the essence and scope of the present invention as defined by the claims. Further, in order to make the public have a better understanding of the present invention, some specific details are described in detail in the detailed description of the present invention below. Those skilled in the art can fully understand the present invention without the description of these details.
[0097] Unless otherwise defined, all technical and scientific terms used herein have the same meaning as those commonly understood by those skilled in the art to which the present invention belongs. The terms used herein are only for the purpose of describing specific embodiments and are not intended to limit the present invention. The term "or / and" as used herein includes any and all combinations of one or more of the related listed items.
[0098] like Figure 1 , Figure 2 , Figure 3 , Figure 4 As shown, the first specific embodiment of the method for optimizing the manufacturing process of the gong groove type curved plate based on numerical calculation of the present invention is:
[0099] A method for optimizing the manufacturing process of a gong groove type curved plate based on numerical calculation comprises the following steps:
[0100] The first step is to model the curved plate based on the structural parameters of the curved plate using the pre-built digital model of the curved plate to obtain a plate simulation object for characterizing the curved plate.
[0101] The second step is to use the pre-built mold digital model to generate a mold simulation object based on the mold parameters and the panel simulation object;
[0102] The third step is to use the mold simulation object to apply pressure to the plate simulation object according to the pre-built process simulation model to obtain stress distribution data of the plate simulation object;
[0103] The fourth step is to use the pre-built hole optimization model to set and adjust the grooving data of the curved plate based on the stress distribution data, generate the grooving improvement data of the curved plate, and realize the optimization of the grooving curved plate manufacturing process based on numerical calculation.
[0104] In this embodiment: In the first step, a method for obtaining a plate simulation object for characterizing the curved plate is as follows:
[0105] Step 11, establishing a curved plate graphical object according to the structural parameters of the curved plate;
[0106] The structural parameters include at least the length, width and height of the curved plate;
[0107] Step 12, calculating the mechanical property information of the curved plate based on the curved plate graphical object and the material data of the curved plate; the material data at least includes the material information of the panel and the material information of the interlayer filler;
[0108] Step 13, based on the mechanical property information, a global stiffness matrix is obtained to characterize the mass and mechanical properties of the curved plate;
[0109] Step 14, coupling the global stiffness matrix with the curved plate graphical object to obtain a plate simulation object.
[0110] In this embodiment: In the second step, the method of generating a mold simulation object according to mold parameters and a plate simulation object using a pre-built mold digital object digital model is as follows:
[0111] Step 21, establishing an upper mold digital object and a lower mold digital object according to mold parameters and a panel simulation object; the mold parameters at least include upper mold information and lower mold information;
[0112] The upper mold information includes the length, width and thickness of the upper mold digital object;
[0113] The lower mold information includes the length, width and thickness of the lower mold digital object;
[0114] Step 22, setting the five degrees of freedom of the upper mold digital object to 0, only releasing its downward translational freedom; setting the six degrees of freedom of the lower mold digital object to 0;
[0115] Step 23, setting the contact surface between the upper mold digitized object and the lower mold digitized object to a normal phase hard contact tangential rough surface, and enabling the upper mold digitized object and the lower mold digitized object to slide relative to each other;
[0116] Step 24, generating a complete mold simulation object according to the degrees of freedom and contact surface information of the upper mold digital object and the lower mold digital object, so as to simulate the extrusion process of the plate simulation object.
[0117] In this embodiment: In the third step, according to the pre-built process simulation model, the mold simulation object is used to apply pressure to the plate simulation object to obtain the stress distribution data of the plate simulation object as follows:
[0118] Step 31, placing the panel simulation object between the upper mold digital object and the lower mold digital object;
[0119] Step 32, the upper mold digital object is translated downward, and the lower mold digital object remains fixed, so as to form a compressive force to squeeze the plate simulation object, so as to reproduce the mechanical behavior of the curved plate during the forming process;
[0120] Step 33, according to the pressure force and the global stiffness matrix, using a numerical method, solving the node displacement and strain displacement matrix of the plate simulation object;
[0121] Step 34, calculating the strain vector inside the panel simulation object according to the node displacement and the strain displacement matrix;
[0122] Step 35, based on the strain vector and the pre-constructed material elastic matrix, and according to the stress-strain formula, the stress distribution data of the panel simulation object is calculated.
[0123] In this embodiment: the method of constructing the material elastic matrix is as follows:
[0124] Step 351, obtaining material data of the curved plate, which at least includes material elastic modulus, material Poisson's ratio and isotropic material information;
[0125] Step 352, calculating the shear modulus of the plate simulation object based on the material elastic modulus and the material Poisson's ratio;
[0126] Step 353, establishing a final material elastic matrix according to the shear modulus and isotropic material information.
[0127] In this embodiment: In the fourth step, the method of setting and adjusting the slotting data of the curved plate based on the stress distribution data by using the pre-built hole optimization model to generate the improved data of the grooving of the curved plate is as follows:
[0128] Step 41, batch setting of several groups of slotting data;
[0129] The slotting data at least includes the slotting position and the slotting spacing;
[0130] Step 42, based on the slotting data, calculate and obtain a number of slotting angles;
[0131] Step 43, based on the slotting angle and in combination with the stress distribution data, a plurality of shear stresses are calculated;
[0132] Step 44, selecting a minimized shear stress from a plurality of shear stresses;
[0133] Step 45, taking the set of notching data corresponding to the minimized shear stress as the grooving improvement data of the curved plate.
[0134] In this embodiment: Step 42, the method for calculating the slotting angle according to the slotting data is as follows:
[0135] Step 421, obtaining slotting data, which includes slotting position coordinates, slot depth and slot width;
[0136] Step 422, establishing a tangent equation passing through the slotting position point coordinates according to the slotting position point coordinates;
[0137] Step 423, based on the tangent line equation, establish an auxiliary line equation, so that the auxiliary line drawn according to the auxiliary line equation can pass through the slotting position point coordinates and be perpendicular to the tangent line, and the length of the auxiliary line is the slot depth;
[0138] Step 424, using half of the groove width as the offset distance, establishing the first parallel line equation and the second parallel line equation of the auxiliary line;
[0139] Step 425, based on the first parallel line equation and the second parallel line equation, extend the first parallel line and the second parallel line to form two sides of a slot; at the same time, based on the auxiliary line equation, calculate the angle between the auxiliary line and the horizontal axis as the slotting angle.
[0140] In this embodiment: Step 422, according to the slotting position point coordinates, the method of establishing the tangent equation passing through the slotting position point coordinates is as follows:
[0141] Step 4221, determine the coordinates of the slotting position points;
[0142] Step 4222, based on the slotting position point coordinates, obtain two adjacent points close to the slotting position point coordinates and their coordinates, for estimating the direction of the tangent line;
[0143] Step 4223, using differential derivatives and the central difference formula, calculate the derivative of the slotting position point coordinates to obtain the tangent slope;
[0144] Step 4224, establish the tangent equation based on the tangent slope and the slotting position point coordinates and using the point-slope equation.
[0145] The second specific embodiment of the method for optimizing the manufacturing process of the gong groove type curved plate based on numerical calculation of the present invention:
[0146] A numerical calculation-based optimization method for the production process of gong groove curved panels is dedicated to solving the uneven internal stress distribution and springback phenomenon encountered in the forming process of composite curved panels in the custom furniture industry. It includes the following contents:
[0147] Modeling is performed based on the structural parameters of the curved plate and the slotting data to obtain a plate simulation object for characterizing the curved plate;
[0148] Generate a mold simulation object according to mold parameters and plate simulation object;
[0149] Using the mold simulation object to apply pressure to the plate simulation object, and obtaining stress distribution data of the plate simulation object;
[0150] Based on the stress distribution data, the grooving data of the curved plate is adjusted to generate the improved grooving data of the curved plate, thus realizing the optimization of the manufacturing process of the grooving curved plate based on numerical calculation.
[0151] In this embodiment, the curved plate is a composite curved plate, and the displacement is solved by the force and displacement calculation formula of structural mechanics. The force and displacement calculation formula is expressed as follows:
[0152]
[0153] in, is the global stiffness matrix of the curved plate, is the nodal displacement vector of the curved plate, is the external nodal force vector.
[0154] Global stiffness matrix is a square matrix whose size depends on the number of degrees of freedom of the system. For a system with n degrees of freedom, the global stiffness matrix It is an n×n matrix that represents the relationship between the degrees of freedom of the structure. It can be used to describe the force response of the structure under unit displacement and is assembled from the stiffness matrices of all units. , represents the displacement of all nodes. In the present invention, a 3D modeling method is adopted, and each node corresponds to 6 degrees of freedom, that is, n×6 values; the external node force vector , represents all external forces, where each node corresponds to the force and torque along the three axes of the rectangular coordinate system, totaling n×6 values. By introducing the boundary conditions of displacement and force, a certain set of linear equations can be obtained, and then the node displacement is solved by numerical methods. After obtaining the node displacement, the strain inside the unit is calculated according to the node displacement, and the calculation formula is as follows:
[0155]
[0156] in, is the strain vector, is the strain and displacement matrix.
[0157] After obtaining the strain vector, the stress is calculated according to the stress-strain formula, and the calculation formula is as follows:
[0158]
[0159] in, is the stress vector, is the material elastic matrix.
[0160] The expression of the material elastic matrix is as follows:
[0161]
[0162] in, For the material The surface along the Elastic parameters of forces in one direction.
[0163] The present invention can be defined for a variety of materials, and in particular, when evaluating an isotropic material, the material elastic matrix can be simplified to:
[0164]
[0165] in, is the elastic modulus of the material, is the material Poisson’s ratio, is the shear modulus.
[0166] The calculation formula of shear modulus is as follows:
[0167]
[0168] During the simulation process, the present invention carefully sets the boundary conditions, in which the lower die is fixed, while the upper die is restricted to 5 degrees of freedom, and only its downward pressing translational freedom is released to define the contact surface as a normal hard contact tangential rough surface, and it can slide. This setting allows the upper die to release the degree of freedom of downward translation during the extrusion process, thereby truly reproducing the mechanical behavior of the forming process. In this way, the numerical calculation results can accurately reveal the deformation and internal stress distribution of the composite curved plate during the forming process, providing a solid scientific basis for further solutions.
[0169] The improvement scheme of the present invention focuses on adjusting the cutting angle θ when opening the gong slot of the filling plate. Numerical calculation results show that the lateral distortion of the internal support is the key factor that causes excessive internal stress in the curved plate. Therefore, the present invention proposes that by carefully designing and adjusting the angles of these internal supports, the internal stress during forming can be significantly reduced and the occurrence of springback can be reduced. This discovery is based on an in-depth analysis and understanding of the numerical calculation results, which ensures the effectiveness of the improvement scheme.
[0170] Shear stress The calculation formula is as follows:
[0171]
[0172] By optimizing , which can minimize shear stress , thereby improving the forming properties of the material.
[0173] In addition, the present invention also considers the adjustment method of the spacing and depth of the slots in the filling layer in the improvement of the traditional process in the existing furniture factory. Figure 3 As shown in the figure, the composite curved plate screenshot in the middle shows its sandwich structure. In addition to the upper and lower thin plates, its filling layer is a concave-convex groove structure. The groove depth here is the groove depth during processing, and the spacing between each groove is the groove spacing during processing, such as Figure 4 As shown in , the slot spacing on the right half of the filling layer is larger. The depth and spacing of the slots will affect the stress distribution during the bending process. The improved method of the present invention can be combined with these adjustments, which not only improves the flexibility of the process, but also makes the improved solution more in line with the needs of actual production, thereby achieving comprehensive optimization of the process.
[0174] The third specific embodiment of the method for optimizing the manufacturing process of the gong groove type curved plate based on numerical calculation of the present invention:
[0175] A method for optimizing the manufacturing process of a gong groove type curved plate based on numerical calculation includes the following contents:
[0176] By entering some necessary parameters to define each detail of the curved plate, the final required 2D or 3D simulation object can be generated. Figure 5 , Figure 6 ,exist Figure 5 and Figure 6 In the figure, H1 represents the width of the upper and lower molds and the composite curved plate, H2 represents the thickness of the lower mold, H3 represents the thickness of the composite curved plate, H4 represents the thickness of the upper mold, H5 represents the spacing between each slot when the gong slot is opened, H6 represents the slot width, H7 represents the thickness of the upper and lower clamping plates of the composite curved plate, and H8 represents the slot depth. In addition, the curvature and the number of slot arrays of the upper and lower molds need to be set, and these size information are parameterized to establish the corresponding two-dimensional simulation object. In addition, the length of the upper and lower molds and the composite curved plate can also be input to establish the corresponding three-dimensional simulation object.
[0177] After completing the modeling and obtaining the corresponding model, boundary parameter setting and mechanical calculation will be performed, and the displacement will be solved using the force and displacement calculation formula. The specific formula is as follows
[0178]
[0179] in, is the global stiffness matrix, the global stiffness matrix is a square matrix whose size depends on the number of degrees of freedom of the system.
[0180] Furthermore, by introducing the boundary conditions of displacement and force, a certain set of linear equations can be obtained, and then the node displacement can be solved by numerical methods. After obtaining the node displacement, the strain inside the unit is calculated according to the node displacement, and the calculation formula is as follows:
[0181]
[0182] in, is the strain vector, is the strain and displacement matrix.
[0183] After obtaining the strain vector, the stress is calculated according to the stress-strain formula, and the calculation formula is as follows:
[0184]
[0185] in, is the stress vector, is the material elastic matrix.
[0186] The present invention can be defined for a variety of materials, and in particular, when evaluating an isotropic material, the material elasticity matrix D can be simplified to:
[0187]
[0188] in, is the elastic modulus of the material, is the material Poisson's ratio, is the shear modulus.
[0189] During the simulation, boundary conditions were set in which the lower die was fixed and the upper die was restricted to 5 degrees of freedom, only releasing its downward translational freedom. This setting allowed the upper die to release the degree of freedom of downward translation during the extrusion process, thus truly reproducing the mechanical behavior of the molding process.
[0190] In this way, the numerical calculation results can accurately reveal the deformation and internal stress distribution of the composite curved plate during the forming process, so that the stress situation can be analyzed through the properties of wood or other materials.
[0191] For example, the yield strength of birch is about 40-60MPa. If the internal stress of a part of the structure exceeds the critical value of 60MPa, it can be judged that the stress here is too large, which means that the wood will be permanently deformed and can be judged as unqualified and needs to be improved. The yield strength of wood refers to the critical strength of wood under stress to undergo plastic deformation or permanent deformation. It is the maximum stress that wood can withstand under stress conditions such as compression, bending or shearing.
[0192] Furthermore, the cutting angle of the gong slot is adjusted, and the numerical calculation results show that the lateral distortion of the internal support is the key factor leading to excessive internal stress in the curved plate. Therefore, the present invention proposes that by adjusting the angle of these internal supports, the internal stress during forming can be significantly reduced, and the occurrence of springback can be reduced.
[0193] Shear stress It can be calculated by the following formula:
[0194]
[0195] It can be seen from the above formula that by optimizing the slotting angle , which can minimize shear stress , thereby improving the forming properties of the material.
[0196] In this embodiment, in order to better perform the optimization process, for curved plates with different curvature requirements, the slot spacing is adjusted by parameter batch simulation to find a better solution. For example, the slot spacing ranges from 10 mm to 20 mm, and the model is generated and simulated every 2 mm.
[0197] like Figure 7 As shown, for any position of the target curvature, set the corresponding slotting angle. The specific setting method is as follows:
[0198] Step 1. Figure 7Take the black dot position in the figure as an example, first determine the position where the curved plate needs to be grooved;
[0199] Step 2. Draw a tangent line through this black point, tangent to the target curve;
[0200] Step 3. Draw an auxiliary line L2 passing through this black point and perpendicular to the tangent line, with a length equal to the groove depth;
[0201] Step 4. Draw parallel lines L1 and L3 of L2 with half of the groove width as the offset distance;
[0202] Step 5. Extend the parallel lines L1 and L3 to the curve. At this time, the parallel lines L1 and L3 represent the two sides of the slot;
[0203] Step 6. Calculate the slotting angle θ for this position, that is, the angle between L2 and the x-axis.
[0204] Any point in the digital simulation object will have coordinates. By selecting points, making tangent lines and perpendicular lines L2, the slotting angle of any point in the target curved plate can be obtained.
[0205] In this embodiment, the method of drawing the tangent line is as follows:
[0206] Step 1, determine the point on the curve and obtain its coordinates;
[0207] Step 2, obtain the two closest neighboring points and their coordinates to estimate the direction of the tangent;
[0208] Step 3, use the difference approximation to calculate the derivative (slope) of the point on the curve. The central difference formula used is as follows:
[0209]
[0210] in, is the x-axis coordinate difference of two adjacent points, is the x-axis coordinate value of the target point.
[0211] Step 4, calculate the slope of the tangent line. The slope k calculated using the above difference formula will be the slope of the tangent line;
[0212] Step 5: According to the coordinates of a specific point on the curve and slope , use the point-slope form to determine the tangent line equation, which is expressed as follows:
[0213]
[0214] Step 6. Draw the tangent line according to the tangent line equation.
[0215] Furthermore, a vertical line is a line whose slope product is -1 and passes through the target point.
[0216] The formula for calculating the angle between two lines (groove angle) is as follows:
[0217]
[0218] A specific embodiment of applying the present invention to simulate and analyze a curved plate:
[0219] The method for simulation analysis of a curved plate using the present invention includes setting of numerical calculation parameters, simulation process, result analysis and process adjustment based on these results, which specifically includes the following contents:
[0220] Firstly, according to the material properties and equipment conditions in actual production, the parameters of numerical calculation are set, including the elastic modulus, yield strength, Poisson's ratio, etc. Then the geometric model of the curved plate is established and meshed.
[0221] In the simulation process, the lower die was first fixed, and then the upper die was subjected to a downward displacement. The displacement value was set to the distance between the upper die and the upper surface of the composite curved plate when the composite curved plate contacted the lower die. The extrusion molding process was simulated. Figure 4 The fixing process is to constrain all degrees of freedom of the lower surface of the mold, and its expression is as follows:
[0222]
[0223] in, The mold is along The displacement component of the axis, Die winding The angular component of the axis.
[0224] When setting the upper mold displacement, make it The axis moves, and its expression is as follows:
[0225]
[0226] By adjusting the connection type and degree of freedom of the upper mold, the pressure conditions in the actual forming process were successfully reproduced. After the calculation was completed, the stress distribution cloud map and deformation cloud map of the composite curved plate during the forming process were obtained. For details, please refer to Figure 8 and Fig. 9 , Figure 8 It shows the stress distribution during the forming process of the composite curved plate. Figure 8 The color card label on the upper left side of the middle indicates the stress magnitude, from red to blue, representing the distribution of stress values from large to small; Fig. 9 Shown is the deformation of the composite curved plate during the forming process.
[0227] Through the analysis of these results, the problems existing in the existing process were found. In addition to the fact that the larger the slot spacing, the greater the stress of each support, the change in the internal stress of the filler is obviously related to the slot angle, which is helpful to point out that the slot angle is the key point to solve the stress problem and has been ignored. Based on this, the cutting angle of the slot opening of the filler plate was adjusted. The new cutting angle effectively reduced the lateral distortion of the internal support and reduced the concentration of internal stress. After determining the optimal cutting angle, it was applied to the actual CNC programming slotting process. By changing the slot angle, the process was improved.
[0228] In order to verify the effect of the improved scheme, numerical simulation was performed again and compared with the results of the original scheme. The results show that the improved scheme significantly reduces the internal stress level of the curved plate and reduces the rebound phenomenon.
[0229] Therefore, the improvement scheme of the present invention has been verified by numerical calculation in theory and is completely feasible in the actual processing process. By changing the slotting angle θ, the improvement scheme of the present invention can be realized without complex equipment upgrades or additional process flows, which further proves the practicality and feasibility of the present invention. Therefore, the application of the present invention can optimize the forming process of the composite curved plate, improve product quality, reduce production costs, and shorten the production cycle. Furthermore, the application of the present invention can bring revolutionary progress to the custom furniture industry and meet the market demand for high-quality, personalized furniture.
[0230] An embodiment of a device applying the method of the present invention:
[0231] An electronic device comprising:
[0232] one or more processors;
[0233] A storage device for storing one or more programs;
[0234] When the one or more programs are executed by the one or more processors, the one or more processors implement the above-mentioned method for optimizing the manufacturing process of gong groove type curved plates based on numerical calculation.
[0235] A computer medium embodiment using the method of the present invention:
[0236] A computer-readable storage medium stores a computer program, which, when executed by a processor, implements the above-mentioned method for optimizing the manufacturing process of a grooved curved plate based on numerical calculation.
[0237] Those skilled in the art will appreciate that the embodiments of the present application may be provided as methods, systems, and computer program products. Therefore, the present application may take the form of a complete hardware embodiment, a complete software embodiment, or an embodiment combining software and hardware. Furthermore, the present application may take the form of a computer program product implemented on one or more computer-usable storage media (including but not limited to disk storage, CD-ROM, optical storage, etc.) containing computer-usable program codes.
[0238] The present application is described by flowcharts or / and block diagrams of the methods, devices (systems), and computer program products of the embodiments of the present application. It should be understood that each process or / and block in the flowchart or / and block diagram and the combination of the processes or / and blocks in the flowchart or / and block diagram can be implemented by computer program instructions. These computer program instructions can be provided to a processor of a general-purpose computer, a special-purpose computer, an embedded processor, or other programmable data processing device to generate a machine, so that the instructions executed by the processor of the computer or other programmable data processing device generate instructions for implementing the processes in the flowchart or / and block diagram. Figure 1 Process or multiple processes and / or boxes Figure 1 A device that provides the functions specified in a block or multiple blocks.
[0239] These computer program instructions may also be stored in a computer-readable memory capable of directing a computer or other programmable data processing device to operate in a specific manner, so that the instructions stored in the computer-readable memory produce an article of manufacture comprising an instruction device, which implements the process Figure 1 Process or multiple processes and / or boxes Figure 1 A function specified in one or more boxes.
[0240] These computer program instructions can also be loaded onto a computer or other programmable data processing device so that a series of operating steps are executed on the computer or other programmable device to produce a computer-implemented process, thereby providing instructions for implementing the process. Figure 1 Process or multiple processes and / or boxes Figure 1 The steps for the functions specified in one or more boxes.
[0241] The model in this application is an object that objectively describes the morphological structure with the help of physical or virtual representation. The object is not equal to the object and is not limited to physical and virtual. It can be a data processing function, software program, processing mode, usage method, operation method, workflow, application process, electronic hardware, circuit module, processing system, system imitation or simulation object.
[0242] Finally, it should be noted that the above embodiments are only used to illustrate the technical solutions of the present invention rather than to limit it. Although the present invention has been described in detail with reference to the above embodiments, ordinary technicians in the relevant field can still modify or replace the specific implementation methods of the present invention with equivalents. Any modification or equivalent replacement that does not depart from the spirit and scope of the present invention should be included in the scope of protection of the claims of the present invention.
Claims
1. A method for optimizing the manufacturing process of a gong groove type curved plate based on numerical calculation, characterized in that: The following steps are involved: The first step is to model the curved plate based on the structural parameters of the curved plate using the pre-built digital model of the curved plate to obtain a plate simulation object for characterizing the curved plate. The second step is to use the pre-built mold digital model to generate a mold simulation object based on the mold parameters and the panel simulation object; The third step is to use the mold simulation object to apply pressure to the plate simulation object according to the pre-built process simulation model to obtain stress distribution data of the plate simulation object; The fourth step is to use the pre-built hole optimization model to set and adjust the slotting data of the curved plate based on the stress distribution data, generate the grooving improvement data of the curved plate, and realize the optimization of the manufacturing process of the grooving curved plate based on numerical calculation; The method to generate the improved data of the gong groove of the curved plate is as follows: Step 41, batch setting of several groups of slotting data; The slotting data at least includes the slotting position and the slotting spacing; Step 42, based on the slotting data, calculate and obtain a plurality of slotting angles; Step 43, based on the slotting angle and in combination with the stress distribution data, a plurality of shear stresses are calculated; Step 44, selecting a minimized shear stress from a plurality of shear stresses; Step 45, using the set of slotting data corresponding to the minimized shear stress as the grooving improvement data of the curved plate; According to the slotting data, the method for calculating the slotting angle is as follows: Step 421, obtaining slotting data, which includes slotting position coordinates, slot depth and slot width; Step 422, establishing a tangent equation passing through the slotting position point coordinates according to the slotting position point coordinates; Step 423, based on the tangent line equation, establish an auxiliary line equation, so that the auxiliary line drawn according to the auxiliary line equation can pass through the slotting position point coordinates and be perpendicular to the tangent line, and the length of the auxiliary line is the slot depth; Step 424, using half of the groove width as the offset distance, establishing the first parallel line equation and the second parallel line equation of the auxiliary line; Step 425, based on the first parallel line equation and the second parallel line equation, the first parallel line and the second parallel line are extended to form two sides of a slot; and based on the auxiliary line equation, the angle between the auxiliary line and the horizontal axis is calculated as the slotting angle; According to the slotting position point coordinates, the method of establishing the tangent line equation passing through the slotting position point coordinates is as follows: Step 4221, determine the coordinates of the slotting position points; Step 4222, based on the slotting position point coordinates, obtain two adjacent points close to the slotting position point coordinates and their coordinates, for estimating the direction of the tangent line; Step 4223, using differential derivative and central difference formula, calculate the derivative of the slotting position point coordinates to obtain the tangent slope; Step 4224, establish the tangent equation based on the tangent slope and the slotting position point coordinates and using the point-slope equation.
2. The method for optimizing the manufacturing process of a gong groove type curved plate based on numerical calculation according to claim 1, characterized in that: In the first step, a method for obtaining a plate simulation object for characterizing the curved plate is as follows: Step 11, establishing a curved plate graphical object according to the structural parameters of the curved plate; The structural parameters include at least the length, width and height of the curved plate; Step 12, calculating the mechanical property information of the curved plate based on the curved plate graphical object and the material data of the curved plate; the material data at least includes the material information of the panel and the material information of the interlayer filler; Step 13, based on the mechanical property information, a global stiffness matrix is obtained to characterize the mass and mechanical properties of the curved plate; Step 14, coupling the global stiffness matrix with the curved plate graphical object to obtain a plate simulation object.
3. The method for optimizing the manufacturing process of a gong groove type curved plate based on numerical calculation according to claim 2, characterized in that: In the second step, the method of generating the mold simulation object according to the mold parameters and the plate simulation object using the pre-built mold digital object digital model is as follows: Step 21, establishing an upper mold digital object and a lower mold digital object according to mold parameters and a panel simulation object; the mold parameters at least include upper mold information and lower mold information; The upper mold information includes the length, width and thickness of the upper mold digital object; The lower mold information includes the length, width and thickness of the lower mold digital object; Step 22, setting the five degrees of freedom of the upper mold digital object to 0, only releasing its downward translational freedom; setting the six degrees of freedom of the lower mold digital object to 0; Step 23, setting the contact surface between the upper mold digitized object and the lower mold digitized object to a normal phase hard contact tangential rough surface, and enabling the upper mold digitized object and the lower mold digitized object to slide relative to each other; Step 24, generating a complete mold simulation object according to the degrees of freedom and contact surface information of the upper mold digital object and the lower mold digital object, so as to simulate the extrusion process of the plate simulation object.
4. The method for optimizing the manufacturing process of a gong groove type curved plate based on numerical calculation according to claim 3, characterized in that: In the third step, according to the pre-built process simulation model, the mold simulation object is used to apply pressure to the plate simulation object, and the method for obtaining the stress distribution data of the plate simulation object is as follows: Step 31, placing the panel simulation object between the upper mold digital object and the lower mold digital object; Step 32, the upper mold digital object is translated downward, and the lower mold digital object remains fixed, so as to form a compressive force to squeeze the plate simulation object, so as to reproduce the mechanical behavior of the curved plate during the forming process; Step 33, according to the pressure force and the global stiffness matrix, using a numerical method, solving the node displacement and strain displacement matrix of the plate simulation object; Step 34, calculating the strain vector inside the panel simulation object according to the node displacement and the strain displacement matrix; Step 35, based on the strain vector and the pre-constructed material elastic matrix, and according to the stress-strain formula, the stress distribution data of the panel simulation object is calculated.
5. The method for optimizing the manufacturing process of a gong groove type curved plate based on numerical calculation according to claim 4, characterized in that: The material elasticity matrix is constructed as follows: Step 351, obtaining material data of the curved plate, which at least includes material elastic modulus, material Poisson's ratio and isotropic material information; Step 352, calculating the shear modulus of the plate simulation object based on the material elastic modulus and the material Poisson's ratio; Step 353, establishing a final material elastic matrix according to the shear modulus and isotropic material information.
6. A method for optimizing the manufacturing process of a gong groove type curved plate based on numerical calculation, characterized in that: Includes the following: Modeling is performed based on the structural parameters of the curved plate and the slotting data to obtain a plate simulation object for characterizing the curved plate; Generate a mold simulation object according to mold parameters and plate simulation object; Using the mold simulation object to apply pressure to the plate simulation object, and obtaining stress distribution data of the plate simulation object; Based on the stress distribution data, the grooving data of the curved plate is adjusted to generate the improved data of the groove of the curved plate, thus realizing the optimization of the manufacturing process of the grooved curved plate based on numerical calculation; The method to generate the improved data of the gong groove of the curved plate is as follows: Step 41, batch setting of several groups of slotting data; The slotting data at least includes the slotting position and the slotting spacing; Step 42, based on the slotting data, calculate and obtain a plurality of slotting angles; Step 43, based on the slotting angle and in combination with the stress distribution data, a plurality of shear stresses are calculated; Step 44, selecting a minimized shear stress from a plurality of shear stresses; Step 45, using the set of slotting data corresponding to the minimized shear stress as the grooving improvement data of the curved plate; According to the slotting data, the method for calculating the slotting angle is as follows: Step 421, obtaining slotting data, which includes slotting position coordinates, slot depth and slot width; Step 422, establishing a tangent equation passing through the slotting position point coordinates according to the slotting position point coordinates; Step 423, based on the tangent line equation, establish an auxiliary line equation, so that the auxiliary line drawn according to the auxiliary line equation can pass through the slotting position point coordinates and be perpendicular to the tangent line, and the length of the auxiliary line is the slot depth; Step 424, using half of the groove width as the offset distance, establishing the first parallel line equation and the second parallel line equation of the auxiliary line; Step 425, based on the first parallel line equation and the second parallel line equation, the first parallel line and the second parallel line are extended to form two sides of a slot; and based on the auxiliary line equation, the angle between the auxiliary line and the horizontal axis is calculated as the slotting angle; According to the slotting position point coordinates, the method of establishing the tangent line equation passing through the slotting position point coordinates is as follows: Step 4221, determine the coordinates of the slotting position points; Step 4222, based on the slotting position point coordinates, obtain two adjacent points close to the slotting position point coordinates and their coordinates, for estimating the direction of the tangent line; Step 4223, using differential derivative and central difference formula, calculate the derivative of the slotting position point coordinates to obtain the tangent slope; Step 4224, establish the tangent equation based on the tangent slope and the slotting position point coordinates and using the point-slope equation.
7. A gong groove type curved plate manufacturing process optimization device based on numerical calculation, characterized in that: It includes: one or more processors; A storage device for storing one or more programs; When the one or more programs are executed by the one or more processors, the one or more processors implement a method for optimizing the manufacturing process of a grooved curved plate based on numerical calculation as described in any one of claims 1 to 6.
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