A smoothing method for suspension crossbeam after morphology optimization
By performing grayscale morphological processing of digital images on the suspension beam after morphology optimization, the problems of unsmooth morphology edges and excessive isolated areas are solved, and the quality improvement and standardization generation of reinforcement rib structures are achieved.
Patent Information
- Application Number
- CN202411139549.9
- Authority / Receiving Office
- CN · China
- Patent Type
- Patents(China)
- Current Assignee / Owner
- Filing Date
- 2024-08-20
- Publication Date
- 2025-06-06
- Estimated Expiration
- 2044-08-20
AI Technical Summary
The suspension beam after the morphology is optimized has problems such as unsmooth morphology edges and excessive isolated areas, which makes it impossible to be used as the final digital-to-analog design plan directly.
By converting the optimized area of the suspension beam after morphology optimization into binary images, using morphological closing operation, skeleton acquisition and morphological expansion operation, the isolated reinforcement ribs are connected and the edges of the reinforcement ribs are smoothed, and the optimized reinforcement rib scheme is obtained.
The phenomenon of unsmooth morphological edges and excessive isolated areas of the suspension beam after morphological optimization design is effectively eliminated, which improves the quality of the reinforcement rib structure and provides a standard reinforcement rib generation method.
Smart Images
Figure CN119150473B_ABST
Abstract
Description
Technical Field
[0001] The invention relates to the technical field of automobile parts, and in particular to a smoothing method for a suspension crossbeam after shape optimization. Background Art
[0002] Shape optimization technology is an optimization technology for the optimal distribution of rib structures for sheet metal parts. The crossbeam parts in the automobile suspension system are sheet metal parts. By optimizing the shape of the crossbeam and distributing some raised rib structures in the optimized area, the bearing capacity of the crossbeam can be effectively improved. However, the edges of the rib area formed by shape optimization are generally not smooth, and some isolated rib structures of varying sizes will also be formed. Therefore, the shape-optimized model cannot be directly used as the final digital model design solution. In general, engineers need to remodel the CAD digital model based on the shape optimization results, as shown in the attached figure. Figure 1 shown.
[0003] However, in the modeling process, engineers generally only use the shape optimization results as a reference, and there is no unified standard for the CAD model reconstruction process. Different CAD engineers will draw inconsistent CAD models based on the same shape optimization results. Summary of the invention
[0004] The technical problem to be solved by the present invention is to provide a smoothing method for a suspension crossbeam after shape optimization, which can effectively eliminate the uneven shape edges and excessive isolated areas existing after the shape optimization design of the suspension crossbeam.
[0005] In order to solve the above technical problems, the present invention provides the following technical solutions:
[0006] The present invention provides a method for smoothing a suspension crossbeam after shape optimization, comprising the following steps:
[0007] S1. Define the optimization area on the suspension beam digital model and perform morphology optimization design on the reinforcement ribs in the optimization area;
[0008] S2. Obtaining the geometric features of the plane where the optimization area is located, and converting it into a binary image; the binary image has n isolated reinforcement ribs X, where n≥2;
[0009] S3. Calculate the maximum pixel distance H between adjacent isolated reinforcement ribs X in the binary image;
[0010] S4. Set the circular structural element J 1 , its diameter H≤D 1 ≤2H; then use the circular structural element J 1Performing a first morphological operation on the isolated reinforcement ribs X in the binary image, so as to connect the n isolated reinforcement ribs X into an integral reinforcement rib Y;
[0011] S5. performing a second morphological operation on the overall reinforcement rib Y to extract the central skeleton of the overall reinforcement rib Y in the binary image and obtain the pixel length L of the central skeleton;
[0012] S6. Set circular structural element J 2 , its diameter D 2 =S / L; using circular structural element J 2 Performing a third morphological operation on the central skeleton to obtain an optimized reinforcement rib Z, wherein S is the pixel area of the entire reinforcement rib Y;
[0013] S7. extracting the numerical features of the optimized stiffener Z in the binary image, and projecting them onto the digital model of the suspension beam, to obtain the digital model of the suspension beam after smoothing.
[0014] In some preferred embodiments of the present invention, in step S2, in the binary image, the pixel value of the rib area is 1, and the pixel value of the non-rib area is 0.
[0015] In some preferred embodiments of the present invention, in step S3, the maximum pixel distance H between adjacent isolated reinforcing ribs X is calculated as follows:
[0016] Calculate the shortest distance between two adjacent isolated reinforcing ribs X among the n isolated reinforcing ribs X, and obtain the set {H 1 , H 2 ...H n-1}, then H=max{H 1 , H 2 ...H n-1};
[0017] The shortest distance refers to the shortest Euclidean distance between a pixel point on the boundary of an isolated reinforcing rib X and a pixel point on the boundary of an adjacent isolated reinforcing rib X.
[0018] In some preferred embodiments of the present invention, in step S4, the first morphological operation includes: 1 As the structural element, the n isolated reinforcement ribs X are first subjected to morphological expansion operation and then to morphological erosion operation.
[0019] In some preferred embodiments of the present invention, in step S5, the second morphological operation includes: first using a morphological skeleton algorithm or a watershed algorithm to extract the skeleton of the overall reinforcement rib Y to obtain a basic skeleton; then removing branches on the basic skeleton to obtain the central skeleton.
[0020] In some preferred embodiments of the present invention, in step S6, the third morphological operation includes: 2 is a structural element, and a morphological dilation operation is performed on the central skeleton.
[0021] In some preferred embodiments of the present invention, step S2 further includes defining an area in the binary image corresponding to the optimized area as a MASK effective area.
[0022] In some preferred embodiments of the present invention, the first morphological operation, the second morphological operation and the third morphological operation are all performed within the MASK effective area.
[0023] In some preferred embodiments of the present invention, in step S2, after obtaining the binary image, n isolated reinforcing ribs X in the binary image are divided into two or more design areas;
[0024] Wherein, each isolated reinforcement rib X in the design area independently performs steps S3 to S6.
[0025] Compared with the prior art, the present invention has the following beneficial effects:
[0026] The present invention proposes a smoothing method for a suspension crossbeam after morphology optimization. The method is based on a grayscale morphological processing method of a digital image. First, the flat area where the "optimized area" of the suspension crossbeam sheet metal part model after morphology optimization simulation analysis is located is converted into a digital image. Then, a series of methods such as morphological closing operation, skeleton acquisition, and morphological expansion operation are used to smooth the area after morphology optimization and connect the isolated areas to obtain the final smoothed reinforcement rib scheme, thereby effectively eliminating the uneven morphology edges and excessive isolated areas after the suspension crossbeam morphology optimization design, and improving the reinforcement rib structure quality obtained by the preliminary morphology optimization. BRIEF DESCRIPTION OF THE DRAWINGS
[0027] Figure 1 The results after optimizing the digital model of the part (left) and after remodeling using CAD (right);
[0028] Figure 2 It is a process flow chart of a method for smoothing a suspension crossbeam after shape optimization in one embodiment of the present invention;
[0029] Figure 3 This is a digital model of a suspension beam in one embodiment of the present invention, wherein the dark area is the optimized area;
[0030] Figure 4 for Figure 3 The result of the suspension beam digital model after shape optimization;
[0031] Figure 5 for Figure 4 MASK image generated by the digital model of the suspension beam;
[0032] Figure 6 for Figure 4 The image of the reinforcement to be processed generated by the suspension beam digital model;
[0033] Figure 7 for Figure 6 The whole reinforcement Y is obtained after the reinforcement image to be processed is subjected to morphological closing operation;
[0034] Figure 8 for Figure 7 The basic skeleton is obtained after the skeleton extraction of the overall reinforcement rib Y in the image;
[0035] Fig. 9 for Figure 8 The central skeleton is obtained by removing branches from the basic skeleton in ;
[0036] Fig.10 for Fig. 9 The optimized reinforcement rib Z is obtained after the morphological expansion operation of the central skeleton in;
[0037] Fig.11 for Fig.10 The result obtained by projecting the optimized stiffener Z in the figure onto the digital model of the suspension crossbeam. DETAILED DESCRIPTION
[0038] The technical solutions in the embodiments of the present invention will be described clearly and completely below in conjunction with the accompanying drawings in the embodiments of the present invention. Obviously, the described embodiments are only part of the embodiments of the present invention, not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those skilled in the art without creative work are within the scope of protection of the present invention.
[0039] In the drawings, components with the same structure are indicated by the same numerical labels, and components with similar structures or functions are indicated by similar numerical labels. Directional terms mentioned in the present invention, such as up, down, front, back, left, right, inside, outside, upper surface, lower surface, side, top surface, bottom, front end, rear end, end, etc., are only directions in the drawings and are only used to explain and illustrate the present invention, but not to limit the scope of protection of the present invention.
[0040] In the drawings, components with the same structure are indicated by the same numerical reference numerals. When some components are described as being "on" another component, the component may be directly placed on the other component; there may also be an intermediate component on which the component is placed, and the intermediate component is placed on the other component. When a component is described as being "mounted to" or "connected to" another component, the two may be understood to be directly "mounted" or "connected", or one component may be indirectly "mounted to" or "connected to" another component through an intermediate component.
[0041] As described in the background technology, for the crossbeam parts in the automobile suspension system, by optimizing the crossbeam shape and distributing some raised reinforcing rib structures in the optimized area, the bearing capacity of the crossbeam can be effectively improved. However, the edges of the reinforcing rib area formed by shape optimization are generally not smooth, and some isolated reinforcing rib structures of different sizes will also be formed. Therefore, the model after shape optimization cannot be directly used as the final digital model design solution.
[0042] In response to the above technical problems, the present invention provides a smoothing method for a suspension crossbeam after morphology optimization. The processing method is based on digital image processing technology, specifically a method based on grayscale morphological processing of digital images, which can effectively eliminate the uneven edges and excessive isolated areas of the suspension crossbeam after the morphology optimization design, and improve the quality of the reinforcement rib structure obtained after the preliminary morphology optimization.
[0043] See also Figure 2 The present invention provides a method for smoothing a suspension beam after shape optimization, comprising the following steps:
[0044] S1. Define the optimization area on the suspension beam digital model and perform morphology optimization design on the reinforcement ribs in the optimization area;
[0045] S2. Obtaining the geometric features of the plane where the optimization area is located, and converting it into a binary image; the binary image has n isolated reinforcement ribs X, where n≥2;
[0046] S3. Calculate the maximum pixel distance H between adjacent isolated reinforcement ribs X in the binary image;
[0047] S4. Set the circular structural element J 1 , its diameter H≤D 1 ≤2H; then use the circular structural element J 1 Performing a first morphological operation on the isolated reinforcement ribs X in the binary image, so as to connect the n isolated reinforcement ribs X into an integral reinforcement rib Y;
[0048] S5. performing a second morphological operation on the overall reinforcement rib Y to extract the central skeleton of the overall reinforcement rib Y in the binary image and obtain the pixel length L of the central skeleton;
[0049] S6. Set circular structural element J 2 , its diameter D 2 =S / L; using circular structural element J 2 Performing a third morphological operation on the central skeleton to obtain an optimized reinforcement rib Z, wherein S is the pixel area of the entire reinforcement rib Y;
[0050] S7. extracting the numerical features of the optimized stiffener Z in the binary image, and projecting them onto the digital model of the suspension beam, to obtain the digital model of the suspension beam after smoothing.
[0051] Shape optimization is a method of shape optimization, that is, a conceptual design method for finding the optimal distribution of reinforcing ribs in a plate-shaped structure. It is used to design thin-walled structure reinforcement indentations to reduce the weight of the structure while meeting the requirements of strength and frequency. In short, shape optimization is to find reinforcing ribs on existing sheet metal parts to increase their stiffness. Unlike topology optimization, shape optimization does not delete materials, but generates reinforcing ribs in the designable area based on the disturbance of nodes.
[0052] In step S1 of the present invention, before performing the morphology optimization design, a finite element simulation model of the suspension crossbeam is first established to obtain a digital model of the suspension crossbeam. Then, an optimization area is delineated on the digital model, and according to the size and form of the load carried by the suspension crossbeam, it is applied to the finite element simulation model, and the optimization target, i.e., the restriction condition, is set to perform the morphology optimization design, and obtain a preliminary morphology optimization result. It should be pointed out that the morphology optimization technology belongs to the well-known technology in the field, and the present invention does not expand on this.
[0053] Generally speaking, the result of the morphology optimization in step S1 is affected by the meshing accuracy, boundary conditions, material constitutive properties, etc. The stiffeners obtained after the morphology optimization design generally have problems such as poor edge quality and too many isolated stiffeners.
[0054] Attached Figure 3 The digital model of the suspension beam obtained after finite element simulation analysis, in which the dark area is the designated "optimization area". Figure 4 This is the digital model of the suspension beam after morphology optimization design. From the figure, we can see that the edges of the reinforcement ribs on the suspension beam after morphology optimization are not smooth, and there are small and isolated reinforcement ribs.
[0055] In step S2 of the present invention, the plane where the optimization area is located is cut out according to the plane where the optimization area is located during the simulation in step S1. The area mainly includes three parts:
[0056] (1) The reinforcement rib part of the optimized area: This part mainly includes the raised reinforcement rib part;
[0057] (2) Non-reinforced rib part of the optimized area: This part has no reinforcement ribs;
[0058] (3) Non-optimized area: This part cannot change its initial geometric shape during the simulation process.
[0059] The geometric features of the intercepted area are obtained, and then converted into a binary image of a plane, that is, the area is projected onto a two-dimensional digital image. In some embodiments, in the binary image, the pixel value of the rib area is 1, and the pixel value of the non-rib area is 0. Therefore, the binary image can be divided into a rib area and a background area. The rib area has n isolated ribs X, where n≥2.
[0060] In some embodiments of the present invention, when generating a binary image, the following steps may be performed:
[0061] First, generate a MASK image.
[0062] When projecting a two-dimensional digital image, the optimized area (including the rib part and the non-rib part) is projected onto the two-dimensional digital image as a whole, with the pixels in the optimized area as effective pixels, to generate a MASK image. In some embodiments, the MASK image can be set to black, as shown in the attached figure. Figure 5 As shown in the figure, the area on the MASK image is the pixel effective area, that is, the pixels in this area can be processed.
[0063] Secondly, generate the reinforcement image to be processed.
[0064] The area where the reinforcement ribs are located is set as the effective pixel area, that is, the pixel value of the reinforcement rib area is 1, and the pixel value of the non-reinforcement rib area is 0, to obtain the reinforcement rib image to be processed. Figure 6 In the image of the reinforcement rib to be processed shown, the gray part is the isolated reinforcement rib X.
[0065] It can be understood that since the reinforcement ribs are generated in the optimization area, the reinforcement rib area in the binary image is located in the MASK image area, and subsequent morphological operations need to be performed in the MASK image area.
[0066] In some embodiments of the present invention, in step S2, after obtaining the binary image, the n isolated stiffeners X in the binary image can be divided into two or more design areas according to the shape characteristics of the suspension crossbeam; wherein the isolated stiffeners X in each design area independently perform the subsequent steps S3 to S6.
[0067] For example, in some preferred embodiments, when the suspension crossbeam is a symmetrical part, after the morphology optimization design, the isolated reinforcement ribs X in the binary image are also symmetrically distributed, as shown in the attached figure. Figure 6 As shown. At this time, the isolated stiffeners X on both sides of the symmetry axis can be divided into separate design areas, that is, there are two design areas in this case. In the subsequent steps, the isolated stiffeners X in each design area are independently morphologically processed.
[0068] In step S3 of the present invention, since there are n isolated reinforcing ribs in the binary image, there are n-1 shortest distances between adjacent isolated reinforcing ribs X. Therefore, the maximum pixel distance H between adjacent isolated reinforcing ribs X is calculated as follows:
[0069] Calculate the shortest distance between two adjacent isolated reinforcing ribs X among the n isolated reinforcing ribs X, and obtain the set {H 1 , H 2 ...H n-1}, then H=max{H 1 , H 2 ...H n-1};
[0070] The shortest distance refers to the shortest Euclidean distance between a pixel point on the boundary of an isolated reinforcing rib X and a pixel point on the boundary of an adjacent isolated reinforcing rib X.
[0071] Morphological operations are a technique widely used in image processing and machine vision, especially in image preprocessing and feature extraction. These operations are based on the shape structure of the image and are mainly applied to binary images, but can also be extended to grayscale images. Morphological operations are based on concepts such as dilation and erosion in set theory, and more complex operations such as opening and closing are derived from the combination of these two basic operations.
[0072] In the present invention, according to the specific shape and appearance of the suspension cross beam part, based on the previously generated MASK image, a suitable structural element is selected to perform morphological operation on the image to be processed of the reinforcement rib, so that the edge quality of the reinforcement rib area can be effectively smoothed, and some isolated small reinforcement rib areas are connected into one piece. In the specific morphological operation method, a suitable method can be selected according to the actual morphology of the image to be processed of the reinforcement rib.
[0073] In the present invention, the morphological closing operation is used to process the image of the reinforcement rib to be processed, so that multiple isolated reinforcement ribs X can be connected into a whole. Specifically, in the above step S4, the circular structural element J is first set 1, its diameter H≤D 1 ≤2H; then use the circular structural element J 1 A first morphological operation is performed on the isolated reinforcement ribs X in the binary image, so that the n isolated reinforcement ribs X are connected into an integral reinforcement rib Y.
[0074] In some preferred embodiments of the present invention, in the above step S4, the first morphological operation includes: 1 As the structural element, the n isolated reinforcement ribs X are first subjected to morphological expansion operation, and then to morphological erosion operation. 1 The diameter H≤D 1 ≤2H, thereby ensuring that in the morphological expansion operation, the "expansion" process can connect the adjacent isolated stiffeners X together; after the morphological expansion, the morphological corrosion is performed, so that the overall stiffener Y can maintain a size similar to that of multiple isolated stiffeners X.
[0075] As attached Figure 7 As shown in FIG. 1 , after the first morphological operation, the isolated reinforcement ribs X in the two design regions in the reinforcement rib to be processed image are connected into a whole, and two whole reinforcement ribs Y are obtained. However, it can be seen from the figure that the edge quality of the whole reinforcement rib Y is poor and not smooth.
[0076] In step S5 of the present invention, the central skeleton of the whole reinforcement rib Y is obtained by a second morphological operation to prepare for subsequent morphological expansion. The present invention is not limited to the algorithm for obtaining the central skeleton, and the specific algorithm includes but is not limited to the morphological skeleton algorithm, the watershed algorithm, etc.
[0077] In some preferred embodiments of the present invention, in the above step S5, the second morphological operation includes: first using a morphological skeleton algorithm or a watershed algorithm to extract the skeleton of the overall reinforcement rib Y to obtain a basic skeleton; then removing branches on the basic skeleton to obtain the central skeleton.
[0078] Since the isolated reinforcement ribs X formed after the morphology optimization are of different sizes, various small branches will exist on the extracted basic skeleton, which will affect the subsequent morphological expansion operation. Therefore, the present invention removes the branches after obtaining the basic skeleton, thereby obtaining a branchless central skeleton.
[0079] Please see attached Figure 8-9 After skeleton extraction, the basic skeleton obtained has more branches. After debranching, all branches on the basic skeleton are removed to obtain the central skeleton. At this time, the pixel length L of the central skeleton can be obtained.
[0080] In step S6 of the present invention, the third morphological operation is performed again on the central skeleton to generate an optimized reinforcing rib Z. Compared with the overall reinforcing rib Y, the regenerated optimized reinforcing rib Z improves the edge quality of the overall reinforcing rib Y and makes the edge connection smoother.
[0081] Specifically, in the above step S6, a circular structural element J is first set 2 , its diameter D 2 =S / L; then use the circular structural element J 2 The third morphological operation is performed on the central skeleton to obtain an optimized reinforcement rib Z, wherein S is the pixel area of the entire reinforcement rib Y, and L is the pixel length of the central skeleton.
[0082] In some preferred embodiments of the present invention, in the above step S6, the third morphological operation includes: 2 As the structural element, a morphological expansion operation is performed on the central skeleton. 2 Diameter D 2 =S / L, thus ensuring that J 2 The optimized stiffener Z obtained after the expansion of the structural element has an overall size that is basically the same as the overall stiffener Y.
[0083] Please see attached Fig.10 After morphological expansion, two symmetrical optimized ribs Z are obtained. Compared with the overall rib Y, the edge of the optimized rib Z is smoother and its size is similar to that of the overall rib Y.
[0084] In step S7 of the present invention, the optimized reinforcement rib Z obtained by performing morphological operation on the binary image is projected onto the initial suspension beam digital model to obtain the smoothed suspension beam digital model.
[0085] Attached Fig.11 This is the result of projecting the optimized stiffener Z onto the digital model of the suspension cross member. Figure 4 Compared with the initial digital model in , the reinforcement ribs in each design area are connected as a whole, and the edges are smoother, which is conducive to improving the quality of the reinforcement rib structure.
[0086] In summary, the present invention makes full use of the morphology optimization results of the suspension crossbeam, and obtains the optimized design of the stiffener in the suspension crossbeam through the grayscale morphological processing method based on digital images. The stiffener generated by the method of the present invention has high quality. At the same time, the method provided by the present invention is a standard stiffener generation method, which can be applied to various types of plate parts, and based on this method, a standard stiffener structure can be obtained without remodeling.
[0087] The above-described embodiments are only preferred embodiments for fully illustrating the present invention, and the protection scope of the present invention is not limited thereto. Equivalent substitutions or changes made by those skilled in the art based on the present invention are within the protection scope of the present invention. The protection scope of the present invention shall be subject to the claims.
Claims
1. A method for smoothing a suspension beam after morphology optimization, characterized in that: The following steps are involved: S1. Define the optimization area on the suspension beam digital model and perform morphology optimization design on the reinforcement ribs in the optimization area; S2. Obtaining geometric features of the plane where the optimization area is located, and converting it into a binary image; the binary image has n isolated reinforcement ribs X, where n≥2; S3. Calculate the maximum pixel distance H between adjacent isolated reinforcement ribs X in the binary image; S4. Setting a circular structure element J1, whose diameter H≤D1≤2H; then using the circular structure element J1 to perform a first morphological operation on the isolated reinforcement ribs X in the binary image, thereby connecting n isolated reinforcement ribs X into an integral reinforcement rib Y; S5. performing a second morphological operation on the overall reinforcement rib Y to extract the central skeleton of the overall reinforcement rib Y in the binary image and obtain the pixel length L of the central skeleton; S6. Setting a circular structural element J2, whose diameter D2 = S / L; using the circular structural element J2 to perform a third morphological operation on the central skeleton to obtain an optimized reinforcement rib Z; wherein S is the pixel area of the overall reinforcement rib Y; S7. extracting the numerical features of the optimized stiffener Z in the binary image, and projecting them onto the suspension beam digital model to obtain the smoothed suspension beam digital model.
2. A method for smoothing a suspension beam after shape optimization according to claim 1, characterized in that: In step S2, in the binary image, the pixel value of the rib area is 1, and the pixel value of the non-rib area is 0.
3. The method for smoothing a suspension beam after shape optimization according to claim 1, characterized in that: In step S3, the maximum pixel distance H between adjacent isolated reinforcement ribs X is calculated as follows: Calculate the shortest distance between two adjacent isolated reinforcing ribs X among the n isolated reinforcing ribs X, and obtain the set {H1, H2...H n-1 }, then H=max{H1, H2……H n-1 }; The shortest distance refers to the shortest Euclidean distance between a pixel point on the boundary of an isolated reinforcing rib X and a pixel point on the boundary of an adjacent isolated reinforcing rib X.
4. The method for smoothing a suspension beam after shape optimization according to claim 1, characterized in that: In step S4, the first morphological operation includes: taking J1 as a structural element, first performing a morphological expansion operation on the n isolated reinforcement ribs X, and then performing a morphological erosion operation.
5. The method for smoothing a suspension beam after shape optimization according to claim 1, characterized in that: In step S5, the second morphological operation includes: firstly using a morphological skeleton algorithm or a watershed algorithm to extract the skeleton of the whole reinforcement rib Y to obtain a basic skeleton; and then removing branches on the basic skeleton to obtain the central skeleton.
6. The method for smoothing a suspension crossbeam after shape optimization according to claim 1, characterized in that: In step S6, the third morphological operation includes: taking J2 as a structural element, performing a morphological dilation operation on the central skeleton.
7. The method for smoothing a suspension beam after shape optimization according to claim 1, characterized in that: Step S2 also includes converting the optimized area in the suspension beam digital model into a MASK image.
8. The method for smoothing a suspension crossbeam after shape optimization according to claim 7, characterized in that: The first morphological operation, the second morphological operation and the third morphological operation are all performed in the MASK image area.
9. The method according to claim 1 for smoothing the suspension beam after the shape optimization The method is characterized in that In step S2, after obtaining the binary image, n isolated reinforcement ribs X in the binary image are divided into two or more design areas; Wherein, each isolated reinforcement rib X in the design area independently performs steps S3 to S6.
Citation Information
Patent Citations
Artificial intelligence detection system for mechanically-enhanced topography
CA3165588A1
Integrated design method for automotive suspension
CN112685828A