CN116910943B - Panel reinforcing rib design method based on dimension reduction morphology optimization - Google Patents
Panel reinforcing rib design method based on dimension reduction morphology optimization Download PDFInfo
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Abstract
The application discloses a panel reinforcing rib design method based on dimension reduction morphology optimization, and relates to the field of mechanical structure design. The method comprises the following steps: establishing a finite element simulation model of the panel, setting load and constraint, and performing simulation calculation on the panel to obtain a stress cloud image and a deformation cloud image of the panel; according to the stress cloud picture, a dimension reduction method is adopted to design a layout mode of the reinforcing ribs; scanning structural parameters such as the position, the size, the thickness and the like of the reinforcing ribs, calculating the deformation value of the panel, and obtaining and applying the corresponding structural parameters of the reinforcing ribs when the deformation value of the panel is the lowest; and (3) performing appearance optimization on the reinforcing ribs, and completing structural design of the reinforcing ribs according to appearance optimization results. According to the invention, the dimension reduction design is carried out on the reinforcing rib according to the mechanical characteristics of the compression-resistant box body panel, so that the appearance optimization process of the reinforcing rib has less parameter optimization space, the resources required by the computer aided design process are greatly reduced, and the implementation cost of the reinforcing rib design is reduced.
Description
Technical Field
The invention relates to the technical field of mechanical structure design, in particular to a panel reinforcing rib design method based on dimension reduction morphology optimization.
Background
Today, mechanical structure optimization methods and processes have been integrated into Computer Aided Design (CAD) software and finite element computing (FEM) software. Implementing an optimization algorithm during the design process helps the designer find the optimal shape to meet the mechanical requirements. The method has the advantages of reducing extra calculation amount, saving time, reducing human resource investment of professionals and improving efficiency.
The morphology optimization method based on the computer aided design is widely applied, for example, in the automobile industry, the requirements of safety and comfort are strictly considered to determine the optimal shape of the automobile body and increase the structural strength. Thus, by applying the topography optimization method to the shape component, bending of the parts can be reduced, so that a solution to reduce the weight of the automobile body can be found, and vibration of the parts can be reduced. The mechanical properties of the metal plate can be improved by using a morphology optimization method, and the rigidity of a panel such as a vehicle door can be increased.
In addition, the computer aided design based topography optimization method can be used for optimizing the mounting plates of various machines in addition to the panel topography optimization for supporting the structural elements of the automobile body. After optimization, the purposes of increasing rigidity and reducing the thickness of the material can be achieved. Studies have shown that mounting plate metal substrates of 1.25 mm thickness can be optimized to a thickness of 0.8 mm and also improve stiffness.
In the topography optimization method, the design area may use a repeating stiffening geometry pattern. The morphology optimization process is similar to the topology optimization, using shape variables instead of density variables. The topography optimization method is applicable to various component types, and the objective function determines the minimum value of the function depending on the design variable, which can be minimum weight, minimum stress, maximum rigidity, minimum manufacturing cost, and the like. The method comprises the steps of firstly generating a basic CAD model through special CAD software, then carrying out finite element mesh division on the model geometric shape, setting material properties, establishing loads, and finally carrying out finite element analysis. If the finite element calculation does not converge, a new finite element analysis is returned to be performed until the structure converges, and the optimal design is obtained.
Although the morphology optimization method has wide application and various advantages, the morphology optimization method still has certain defects, and the defects are as follows:
the optimization of the morphology of the panel ribs often relies on the use of a computer for finite element analysis of the three-dimensional solid model. Because of the variety of structures, shapes and requirements of actual products, and the often complex or even harsh working environment, design variables, response functions and optimization goals for topography optimization are very difficult to determine, and the computational resources required are very large. More importantly, because the process of topography optimization is difficult to control, an ideal design scheme is difficult to obtain.
Therefore, it is necessary to provide a method for optimizing the appearance of the panel reinforcing rib, which can accurately control variables, response functions and optimization targets and has low calculation resource requirements.
In view of the above drawbacks, the present inventors have finally achieved the present invention through long-time studies and practices.
Disclosure of Invention
In view of the above, in order to solve the problems of high computational resource requirement and difficult parameter determination in the prior art of the optimization design method of the shape of the panel reinforcing rib, the invention provides a design method of the panel reinforcing rib based on the optimization of the shape of the dimension reduction, which comprises the following steps:
s1, obtaining a stress cloud picture and a deformation cloud picture of a panel;
s2, designing a layout mode of the reinforcing ribs by adopting a dimension reduction method according to the stress cloud picture;
s3, scanning structural parameters of the reinforcing ribs and calculating deformation values of the panel to obtain corresponding structural parameters of the reinforcing ribs when the deformation values of the panel are the lowest;
and S4, performing morphology optimization on the reinforcing ribs.
Preferably, the process of obtaining the stress cloud image and the deformation cloud image of the panel in the step S1 includes the following steps:
s11, establishing a finite element simulation model of the panel;
step S12, setting loads and constraints;
and S13, performing finite element simulation calculation on the panel.
Preferably, the process of establishing the finite element simulation model of the panel in the step S11 includes the following steps:
step S111, establishing a solid model according to actual structural parameters;
step S112, modifying the entity model according to finite element simulation requirements, and deleting a tiny non-stress key structure;
and step 113, calculating mesh subdivision for the simulation model.
Preferably, the step S2 of designing the layout mode of the reinforcing ribs by adopting the dimension reduction method includes the following steps:
s21, calculating a stress cloud picture of the model, and designing a preliminary reinforcing rib distribution mode according to the stress cloud picture;
s22, reducing dimensions and simplifying the reinforcing ribs with two-dimensional or three-dimensional distribution characteristics;
s23, calculating a stress cloud picture again for the model with the reinforcing ribs, removing the reinforcing ribs with weak influence on the stress according to the result, and reducing the number of the reinforcing ribs;
and S24, repeatedly calculating the stress cloud image and reducing the number of the reinforcing ribs.
Preferably, the step S22 of reducing the dimensions and simplifying the reinforcement ribs with two-dimensional or three-dimensional distribution features includes the following steps:
step S221, selecting a reinforcing rib shape with a simple geometric structure as a low-dimensional geometric structure;
step S222, changing the two-dimensional or three-dimensional distribution characteristics into the number of reinforcing ribs;
step S223, repeat step S221 and step S222 until the lowest dimension is reached.
Preferably, the simple geometric structure in the step S221 includes a cylinder, a cuboid, a cube, a prism, a pyramid, a cone, a truncated cone, and a sphere.
Preferably, the step S3 includes the steps of:
s31, controlling the quality of the reinforcing ribs to be unchanged, scanning the structural parameters of the reinforcing ribs, and obtaining a deformation cloud picture of the panel through finite element simulation;
step S32, according to the change rule of the deformation cloud image of the panel along with each structural parameter, the structural parameter when the deformation of the panel is the lowest is found out;
step S33, the obtained structural parameters are applied to the design of the panel;
step S34, repeating the steps S31 to S33, and optimizing the deformation value of the panel.
Preferably, the process of optimizing the morphology of the reinforcing ribs in the step S4 includes the following steps:
s41, establishing constraint conditions and loads for optimizing the appearance of the reinforcing ribs;
step S42, setting the maximum structural rigidity and the minimum mass as an objective function of the shape optimization of the reinforcing ribs;
and S43, selecting a morphology optimization algorithm to perform morphology optimization on the reinforcing ribs.
And S44, obtaining the final optimized reinforcing rib structure layout.
Preferably, the morphology optimization algorithm in step S43 includes a moving asymptote optimization algorithm, a sparse nonlinear optimizer, and an interior point optimizer.
Compared with the prior art, the method for designing the panel reinforcing rib based on the dimension reduction morphology optimization has the following beneficial effects:
by adopting the dimension reduction method, enough key information can be provided for the shape optimization, and the finite element analysis software can obtain an accurate shape optimization result under less calculation resources; the dimension reduction morphology optimization method is adopted, so that design variables are reduced, the finite element analysis morphology optimization process can accurately obtain a response function and an optimization target, and the optimization method is facilitated to be executed; the design of the panel reinforcing rib based on the dimension reduction morphology optimization greatly reduces the complexity of the panel reinforcing rib, and technicians can well control the finite element calculation process, so that an ideal design scheme is obtained; the design method of the panel reinforcing rib based on the dimension reduction appearance optimization has wide application scenes, can face various product structures and requirements, accords with various complex working environments, and is beneficial to popularization and large-scale application.
Drawings
In order to more clearly illustrate the technical solutions of the embodiments of the present invention, the drawings that are needed in the embodiments or the description of the prior art will be briefly described below, it being obvious that the drawings in the following description are only some embodiments of the present invention, and that other drawings may be obtained according to these drawings without inventive effort for a person skilled in the art.
FIG. 1 is a flow chart of a method for designing a panel reinforcing rib based on dimension reduction morphology optimization in a first embodiment of the invention;
FIG. 2 is a flowchart of the process of obtaining stress cloud and deformation cloud of the panel in step S1;
FIG. 3 is a flowchart of a process of creating a finite element simulation model of a panel in step S11;
FIG. 4 is a flowchart illustrating a process of designing the layout of the reinforcing ribs by the dimension reduction method in step S2;
FIG. 5 is a flowchart of a process for dimension reduction simplification of the reinforcing ribs with two-dimensional or three-dimensional distribution characteristics in step S22;
FIG. 6 is a specific flowchart of step S3;
FIG. 7 is a flowchart of the process of performing morphology optimization on the reinforcing bars in step S4;
FIG. 8 is a diagram of a panel according to a first embodiment of the present invention;
FIG. 9 is a cloud chart of stress-strain distribution on the front and back sides of a panel according to an embodiment of the present invention;
fig. 10 is a schematic diagram of a preliminary distribution manner of panel reinforcing ribs according to a first embodiment of the present invention;
FIG. 11 is a diagram showing the scan results of structural parameters of a panel stiffener according to an embodiment of the present invention;
fig. 12 is a schematic diagram of a morphological optimization result and a physical comparison of a panel stiffener according to an embodiment of the present invention.
Reference numerals:
panel 10, panel support 20, and pressure 30.
Detailed Description
The above and further technical features and advantages of the present invention are described in more detail below with reference to the accompanying drawings.
In the description of the present invention, it should be understood that the terms "first," "second," and the like are used for descriptive purposes only and are not to be construed as indicating or implying a relative importance or number of technical features indicated. Thus, a feature defining "a first" or "a second" may explicitly or implicitly include at least one such feature. In the description of the present invention, the meaning of "plurality" is at least two unless explicitly defined otherwise.
In the present invention, unless explicitly specified and limited otherwise, the terms "mounted," "connected," "secured," and the like are to be construed broadly, and may be, for example, fixedly connected, detachably connected, or integrally formed; may be mechanically connected, may be electrically connected or may be in communication with each other; either directly or indirectly, through intermediaries, or both, may be in communication with each other or in interaction with each other, unless expressly defined otherwise. The specific meaning of the above terms in the present invention can be understood by those of ordinary skill in the art according to the specific circumstances.
In the description of the present specification, a description referring to terms "one embodiment," "some embodiments," "examples," "specific examples," or "some examples," etc., means that a particular feature, structure, material, or characteristic described in connection with the embodiment or example is included in at least one embodiment or example of the present invention.
In the following description, for purposes of explanation and not limitation, specific details are set forth such as the particular system architecture, techniques, etc., in order to provide a thorough understanding of the embodiments of the present invention. It will be apparent, however, to one skilled in the art that the present invention may be practiced in other embodiments that depart from these specific details. In other instances, detailed descriptions of well-known systems, devices, circuits, and methods are omitted so as not to obscure the description of the present invention with unnecessary detail.
In this specification, schematic representations of the above terms are not necessarily directed to the same embodiment or example. Furthermore, the particular features, structures, materials, or characteristics described may be combined in any suitable manner in any one or more embodiments or examples. Furthermore, the different embodiments or examples described in this specification and the features of the different embodiments or examples may be combined and combined by those skilled in the art without contradiction.
Referring to fig. 1, fig. 1 provides a method for designing a panel reinforcing rib based on dimension reduction shape optimization, which comprises the following steps:
s1, obtaining a stress cloud picture and a deformation cloud picture of a panel;
s2, designing a layout mode of the reinforcing ribs by adopting a dimension reduction method according to the stress cloud picture;
s3, scanning structural parameters of the reinforcing ribs and calculating deformation values of the panel to obtain corresponding structural parameters of the reinforcing ribs when the deformation values of the panel are the lowest;
and S4, performing morphology optimization on the reinforcing ribs.
Preferably, the process of obtaining the stress cloud and the deformation cloud of the panel in the step S1 includes the steps as shown in fig. 2:
s11, establishing a finite element simulation model of the panel;
step S12, setting loads and constraints;
and S13, performing finite element simulation calculation on the panel.
It is noted that a panel is herein understood to be a plate having planar or curved characteristics that is subject to pressure, gravity, centrifugal force or some load.
The process of establishing the finite element simulation model of the panel in step S11 includes the steps as shown in fig. 3:
step S111, establishing a solid model according to actual structural parameters;
step S112, modifying the entity model according to finite element simulation requirements, and deleting a tiny non-stress key structure;
and step 113, calculating mesh subdivision for the simulation model.
The minor non-stress critical structures deleted in step S112 include: set screws, screw holes, nuts, snaps, nails, and the like.
Preferably, the process of designing the layout manner of the reinforcing ribs by adopting the dimension reduction method in the step S2 includes the steps as shown in fig. 4:
s21, calculating a stress cloud picture of the model, and designing a preliminary reinforcing rib distribution mode according to the stress cloud picture;
s22, reducing dimensions and simplifying the reinforcing ribs with two-dimensional or three-dimensional distribution characteristics;
s23, calculating a stress cloud picture again for the model with the reinforcing ribs, removing the reinforcing ribs with weak influence on the stress according to the result, and reducing the number of the reinforcing ribs;
and S24, repeatedly calculating the stress cloud image and reducing the number of the reinforcing ribs.
After step S24 is performed, the number of reinforcing ribs is reduced to a desired degree.
The process of dimension reduction and simplification of the reinforcing ribs with two-dimensional or three-dimensional distribution characteristics in step S22 includes the steps as shown in fig. 5:
step S221, selecting a reinforcing rib shape with a simple geometric structure as a low-dimensional geometric structure;
step S222, changing the two-dimensional or three-dimensional distribution characteristics into the number of reinforcing ribs;
step S223, repeat step S221 and step S222 until the lowest dimension is reached.
In step S22, the original complex multidimensional geometry of the reinforcing rib is replaced by a different number of low-dimensional geometry structures. The simple geometric structures in step S221 include cylinders, cuboids, cubes, prisms, pyramids, cones, and spheres.
Preferably, in step S3, the process of scanning the structural parameters of the reinforcing ribs and calculating the deformation value of the panel to obtain the structural parameters of the reinforcing ribs corresponding to the lowest deformation value of the panel includes the steps as shown in fig. 6:
s31, controlling the quality of the reinforcing ribs to be unchanged, scanning the structural parameters of the reinforcing ribs, and obtaining a deformation cloud picture of the panel through finite element simulation;
step S32, according to the change rule of the deformation cloud image of the panel along with each structural parameter, the structural parameter when the deformation of the panel is the lowest is found out;
step S33, the obtained structural parameters are applied to the design of the panel;
step S34, repeating the steps S31 to S33, and optimizing the deformation value of the panel.
By repeatedly executing steps S31 to S33, the structural parameters of the reinforcing ribs can be changed until the deformation value of the panel reaches an ideal state. The structural parameters of the reinforcing ribs in step S31 include position, size, thickness, etc.
Preferably, the process of optimizing the morphology of the reinforcing ribs in step S4 includes the steps as shown in fig. 7:
s41, establishing constraint conditions and loads for optimizing the appearance of the reinforcing ribs;
step S42, setting the maximum structural rigidity and the minimum mass as an objective function of the shape optimization of the reinforcing ribs;
and S43, selecting a morphology optimization algorithm to perform morphology optimization on the reinforcing ribs.
And S44, obtaining the final optimized reinforcing rib structure layout.
The morphology optimization algorithm in step S43 includes a moving asymptote optimization algorithm (MMA), a Sparse Nonlinear Optimizer (SNOPT), and an Interior Point Optimizer (IPOPT).
The technical scheme of the invention is to design the reinforcing rib of the panel based on the optimization of the dimension-reducing morphology, and the basic principle of the technical scheme is as follows:
the panel stiffener design problem includes an objective function f, a design variable x, and a state variable y. The objective function f is used to measure the quality of the design and is often used to evaluate the quality of the structure, the displacement in a given direction, the cost of the effect or product, etc. The design variable x describes a function or vector of the design, representing the choice of geometry or material, and may be a complex interpolation function describing the shape of the structure, or simply a simple variable of the cross-sectional area of the rod, the thickness of the plate, etc. The state variable y is a function or vector of the structural response and is commonly referred to as displacement, stress, strain, force, or the like. The design problem SO is expressed in the following form:
SO=min f (x, y) s.t. constraint (1)
Where s.t. representation is limited (Subject to). In the design problem SO, there are three types of constraints, namely, behavior constraints, design constraints, and balancing constraints, respectively. The behavior constraint is a constraint on the state variable y, and the design constraint is a constraint on the design variable x. For a natural discrete or linear discrete problem, the equilibrium constraint is:
K(x)u = F(x) （2）
where K (x) is the stiffness matrix of the structure, typically a function of the design variable x, u is the displacement vector, and F (x) is the load vector. In the continuum problem, the equilibrium constraint is described in terms of partial differential equations.
Based on the description of the panel stiffener design problem above, the present application contains three optimization types, size optimization, shape optimization and topology optimization, respectively. In performing the dimensional optimization, x is expressed as a thickness of a certain type of structure. In shape optimization, x represents the shape or contour of the structural design domain. In the topology optimization, the dimension reduction design is carried out on the panel reinforcing ribs, and then the topology optimization is the problem of low-dimension and variable-thickness. At this time, the thicknessAs an optimization design variable, the variable +.>Has an upper limit and a lower limit, and furthermore, all thicknesses +.>Must satisfy the volume constraint, i.e.)>=v. At this time, the problems to be solved are:
（3）
where a is a symmetric bilinear function, D is the elastic matrix of the isotropic material in plane stress, and l is the compliance. Design domainAnd (3) dispersing into finite elements, carrying out finite element solution on the equation by adopting various numerical calculation methods, and finally obtaining the result of the panel reinforcing rib design problem.
The method for designing the panel reinforcing rib based on the dimension reduction appearance optimization is further explained by a specific embodiment:
examples
The panel acts as a cover for the compression resistant housing and is structured as shown in fig. 8, including a panel 10 and a panel support 20. As shown in fig. 8, the load of the panel acting as the cover plate of the case is 30 in which the surface of the panel is subjected to a pressure of 1 MPa, and the support of the panel is a fixed point. The design goal of the box body is to bear the water pressure of 1 MPa, so that the total mass of the reinforcing ribs is as small as possible, and the deformation meets the requirements. The calculation of stress-deformation cloud patterns is carried out on the front side and the back side of the panel shown in fig. 8 by adopting a finite element simulation method, and the result is shown in fig. 9. The panel shown in fig. 8 was rib-designed according to the stress cloud, and the initial rib distribution was shown in fig. 10, in which the circular rib was initially set to have an inner diameter of 20 mm. Further, the influence of different parameters on the deformation value of the panel is calculated, and the change of the deformation value of the panel along with the inner diameter of the annular reinforcing rib is shown in fig. 11. According to fig. 11, the structural parameters were obtained when the deformation of the panel was the lowest, and the annular bead had an inner diameter of 20 mm. Finally, the appearance of the optimized reinforcing ribs is optimized by adopting an MMA algorithm, and the result is shown in figure 12.
According to the invention, a dimension reduction method is adopted to design the panel reinforcing rib, key factors influencing the deformation value of the panel are extracted from the stress cloud picture of the panel, the original reinforcing rib is designed through a dimension reduction simplified method, the dimension of the reinforcing rib is further reduced through parameter optimization, and finally, the design of the reinforcing rib is realized through a shape optimization method. Compared with a general shape optimization method, the method carries out dimension reduction design on the reinforcing rib according to the mechanical characteristics of the compression-resistant box body panel, so that the shape optimization process of the reinforcing rib has less parameter optimization space, the resources required by the computer aided design process are greatly reduced, and the implementation cost of the reinforcing rib design is reduced. Because the dimension reduction means is adopted, a response function and an optimization target are easier to establish by technicians, the finite element simulation calculation control process is better, and an ideal design scheme is finally obtained. The design method of the panel reinforcing rib based on the dimension reduction morphology optimization can be applied to various scenes, meets the requirement of product diversification, meets the harsh requirement of working environment, and is easy to popularize and obtain large-scale application.
It will be appreciated by those skilled in the art that embodiments of the present application may be provided as a method, system, or computer program product. Accordingly, the present application may take the form of an entirely hardware embodiment, an entirely software embodiment or an embodiment combining software and hardware aspects. Furthermore, the present application may take the form of a computer program product embodied on one or more computer-usable storage media (including, but not limited to, disk storage, CD-ROM, optical storage, and the like) having computer-usable program code embodied therein.
The foregoing is merely exemplary of the present application and is not intended to limit the present application. Various modifications and changes may be made to the present application by those skilled in the art. Any modifications, equivalent substitutions, improvements, etc. which are within the spirit and principles of the present application are intended to be included within the scope of the claims of the present application.
Claims (7)
1. A panel reinforcing rib design method based on dimension reduction appearance optimization is characterized by comprising the following steps:
s1, obtaining a stress cloud picture and a deformation cloud picture of a panel;
s2, designing a layout mode of the reinforcing ribs by adopting a dimension reduction method according to the stress cloud picture;
s3, scanning structural parameters of the reinforcing ribs and calculating deformation values of the panel to obtain corresponding structural parameters of the reinforcing ribs when the deformation values of the panel are the lowest;
s4, optimizing the appearance of the reinforcing ribs;
the process of designing the layout mode of the reinforcing ribs by adopting the dimension reduction method in the step S2 comprises the following steps:
s21, calculating a stress cloud picture of the model, and designing a preliminary reinforcing rib distribution mode according to the stress cloud picture;
s22, reducing dimensions and simplifying the reinforcing ribs with two-dimensional or three-dimensional distribution characteristics;
s23, calculating a stress cloud picture again for the model with the reinforcing ribs, removing the reinforcing ribs with weak influence on the stress according to the result, and reducing the number of the reinforcing ribs;
step S24, repeatedly calculating stress cloud pictures and reducing the number of reinforcing ribs;
the step S22 of dimension reduction and simplification of the reinforcing ribs with two-dimensional or three-dimensional distribution characteristics comprises the following steps:
step S221, selecting a reinforcing rib shape with a simple geometric structure as a low-dimensional geometric structure;
step S222, changing the two-dimensional or three-dimensional distribution characteristics into the number of reinforcing ribs;
step S223, repeat step S221 and step S222 until the lowest dimension is reached.
2. The method for designing the panel reinforcing rib based on the dimension reduction morphology optimization according to claim 1, wherein the process of obtaining the stress cloud image and the deformation cloud image of the panel in the step S1 comprises the following steps:
s11, establishing a finite element simulation model of the panel;
step S12, setting loads and constraints;
and S13, performing finite element simulation calculation on the panel.
3. The method for designing the panel reinforcing rib based on the dimension reduction morphology optimization according to claim 2, wherein the process of establishing the finite element simulation model of the panel in the step S11 comprises the following steps:
step S111, establishing a solid model according to actual structural parameters;
step S112, modifying the entity model according to finite element simulation requirements, and deleting a tiny non-stress key structure;
and step 113, calculating mesh subdivision for the simulation model.
4. The method for designing a panel reinforcement based on dimension reduction topography optimization according to claim 1, wherein the simple geometric structures in the step S221 include cylinders, cuboids, cubes, prisms, pyramids, cones, and spheres.
5. The method for designing the panel reinforcing rib based on the dimension reduction appearance optimization according to claim 1, wherein the step S3 comprises the following steps:
s31, controlling the quality of the reinforcing ribs to be unchanged, scanning the structural parameters of the reinforcing ribs, and obtaining a deformation cloud picture of the panel through finite element simulation;
step S32, according to the change rule of the deformation cloud image of the panel along with each structural parameter, the structural parameter when the deformation of the panel is the lowest is found out;
step S33, the obtained structural parameters are applied to the design of the panel;
step S34, repeating the steps S31 to S33, and optimizing the deformation value of the panel.
6. The method for designing the panel reinforcing rib based on the dimension reduction appearance optimization according to claim 1, wherein the process of appearance optimization of the reinforcing rib in the step S4 comprises the following steps:
s41, establishing constraint conditions and loads for optimizing the appearance of the reinforcing ribs;
step S42, setting the maximum structural rigidity and the minimum mass as an objective function of the shape optimization of the reinforcing ribs;
and S43, selecting a morphology optimization algorithm to perform morphology optimization on the reinforcing ribs. And S44, obtaining the final optimized reinforcing rib structure layout.
7. The method for designing a panel stiffener based on reduced-dimension profile optimization of claim 6, wherein the profile optimization algorithm in step S43 includes a moving asymptote optimization algorithm, a sparse nonlinear optimizer, and an interior point optimizer.
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