Design method for bionic reinforcing rib of push plate of garbage truck

Abstract

The invention provides a garbage truck push plate bionic reinforcing rib design method which comprises the following steps: establishing a mechanical model when a garbage truck is fully loaded, and determining a load acting on a push plate under an extreme working condition; establishing a 3D model for the stiffened plate, performing mesh generation on the 3D model to obtain a finite element model, and applying load and constraint to the finite element model; determining a growth mathematical model of the reinforcing ribs by taking dicotyledonous plant leaves as a bionic prototype, arranging the main reinforcing ribs on the central axis of the stiffened plate, and selecting growth points of the secondary reinforcing ribs on the main reinforcing ribs based on a genetic algorithm; and for each growing point, sequentially taking values in a preset angle range as growth angles, and determining that the growth angle when the maximum equivalent stress value in the specific area is minimum is the optimal growth direction. The invention provides a design method for bionic reinforcing ribs of a push plate of a garbage truck. The design method is used for solving the problems that in the prior art, the optimal layout position of reinforcing ribs is difficult to determine, and enterprise labor cost is high.

Description

Technical Field

[0001] The invention relates to the technical field of garbage truck structure design, and in particular to a method for designing bionic reinforcing ribs of a garbage truck push plate. Background Art

[0002] Reinforcements are widely used in the fields of ships, buildings, machinery and daily life. At present, the design of reinforcements mainly focuses on the size optimization of given reinforcement layout patterns (tic-tac-toe, criss-cross, etc.). Although it is easy to implement, the effect is limited. When the load conditions of the structure are relatively complex, it is difficult to find the best position for the reinforcement layout. The continuous topology optimization method is a common design tool for studying the layout of reinforcements, but its design result is a fuzzy and complex topological structure, which requires post-processing by engineers with rich production experience before it can be used for manufacturing, which greatly increases the manpower cost of the enterprise. Summary of the invention

[0003] The invention provides a method for designing bionic reinforcing ribs of a push plate of a garbage truck, which is used to solve the problems in the prior art that the optimal position of the reinforcing rib layout is difficult to determine and the human cost of the enterprise is high.

[0004] The present invention provides a method for designing bionic reinforcing ribs of a garbage truck push plate, comprising:

[0005] Establish a mechanical model of a fully loaded garbage truck and determine the load acting on the push plate under extreme working conditions;

[0006] A 3D model is established for the stiffened plate, the 3D model is meshed to obtain a finite element model, and the load and constraint are applied to the finite element model, wherein the stiffened plate is composed of a base plate and stiffeners, the stiffeners are arranged on the base plate, and the finite element model adopts a discrete plate beam theory;

[0007] The growth mathematical model of the reinforcing ribs is determined by taking the dicotyledonous plant leaf as the bionic prototype, the main reinforcing ribs are arranged on the central axis of the reinforcing plate, and the growth points of the secondary reinforcing ribs are selected on the main reinforcing ribs based on the genetic algorithm, wherein the reinforcing ribs include the main reinforcing ribs and the secondary reinforcing ribs;

[0008] For each growth point, values ​​are taken in sequence within a preset angle range as growth angles, and the growth angle at which the maximum equivalent stress value in a specific area is minimized is determined to be the optimal growth direction. The secondary reinforcing ribs grow from the growth point along the optimal growth direction on both sides of the main reinforcing ribs to the edge of the substrate. The growth angle is the angle between the main reinforcing ribs and the secondary reinforcing ribs. The specific area is a fan-shaped area with the growth point as the center, a preset length as the radius, and the center angle with the main reinforcing ribs as the growth angle.

[0009] The above scheme can design a reasonable reinforcement rib layout for push plates of different sizes according to different vehicle models, which not only effectively guarantees the push plate's resistance to plastic deformation during the warranty period, but also greatly increases the space for lightweight design of the push plate, thereby improving the economic benefits for the enterprise; by establishing a mechanical model of the garbage truck when fully loaded, there is no need for field testing in a working environment, and the load and constraints on the push plate can be quickly determined through calculation and reasoning. It is both rigorous and practical, avoiding the problems of manpower, time and material loss in traditional design methods, and reducing the enterprise's operating costs and production costs.

[0010] Optionally, the extreme operating condition is the moment when unloading begins and the material is in a static equilibrium state.

[0011] Optionally, the load acting on the push plate includes an inertial load and a compression load, wherein:

[0012] The expression for inertial load density is as follows:

[0013] P 2x =a xs |x sur (y,z)-x behind (y,z)|μ

[0014] Among them, P 2x is the inertial load density, a xs is the inertial acceleration in the x direction, x sur (y,z) is the x coordinate of any point (y,z) on the push plate projected onto the garbage ellipsoid parabola, x behind (y,z) is the x-coordinate of any point (y,z) on the push plate, and μ is the Poisson’s ratio;

[0015] The expression for the compression load density is as follows:

[0016] P 3x =K x g s |X sur (y,z)-X behind (y,z)|

[0017] Among them, P 3x is the compressive load density, K x is the dimensionless elastic coefficient of the compressed garbage in the x direction, g s It is the product of the garbage density per unit volume and gravity.

[0018] Optionally, the imposing of constraints includes:

[0019] Applying a given displacement constraint to a hinge point along the x direction, wherein the hinge point is used to connect the oil cylinder and the push plate;

[0020] The given displacement constraints are applied to the slider along the y direction and the z direction respectively, and the slider enables the push plate to perform relative motion on the slide rail inside the compartment.

[0021] Optionally, the finite element model adopts discrete plate beam theory including:

[0022] The substrate is simulated using plate and shell elements;

[0023] The stiffeners are modeled using beam elements.

[0024] Optionally, the growth mathematical model of the reinforcing rib is expressed as follows:

[0025]

[0026] Among them, P is an ordered set storing all rib direction information, S is an ordered set storing all rib size information, f(P,S) is the optimization target, W(P,S) is the material consumption of all ribs, and W0 is the upper limit of the material consumption of the ribs.

[0027] Optionally, the objective function of the genetic algorithm is:

[0028]

[0029] in, is the conversion volume ratio coefficient, N ls is the number of longitudinal reinforcement ribs, N ls =1, the longitudinal reinforcement is the main reinforcement, N ts is the number of transverse reinforcement ribs, 1≤N ts ≤10,t s is the thickness of the reinforcement, 3≤t s ≤40,h s is the height of the reinforcement, h s ≤150, and w max is the maximum displacement of the stiffened plate, L p , W p , H p are respectively the length, width and height of the substrate.

[0030] Optionally, the growth point of the secondary reinforcement rib is the intersection of the longitudinal reinforcement rib and the transverse reinforcement rib.

[0031] Optionally, the preset angle range is 25° to 75°.

[0032] Optionally, the preset length is 20 cm. BRIEF DESCRIPTION OF THE DRAWINGS

[0033] In order to more clearly illustrate the technical solutions in the embodiments of the present invention, the drawings required for use in the description of the embodiments will be briefly introduced below. Obviously, the drawings described below are only some embodiments of the present invention. For ordinary technicians in this field, other drawings can be obtained based on these drawings without paying creative work.

[0034] Figure 1 A schematic diagram of a flow chart of a method for designing bionic reinforcement ribs for a garbage truck push plate provided by an embodiment of the present invention;

[0035] Figure 2 A schematic diagram of a deadweight load mechanics model provided by an embodiment of the present invention;

[0036] Figure 3 A schematic diagram of an inertial load mechanics model provided by an embodiment of the present invention;

[0037] Figure 4 A schematic diagram of a compressive load mechanical model provided by an embodiment of the present invention, wherein:

[0038] A is the side view, B is the front view;

[0039] Figure 5 A schematic diagram of a push plate structure provided by an embodiment of the present invention, wherein:

[0040] 1 is the base plate, 2 is the oil cylinder, 3 is the hinge point, and 4 is the slider;

[0041] Figure 6 A schematic diagram of a leaf vein structure provided by an embodiment of the present invention, wherein:

[0042] 5 is the main pulse, 6 is the secondary pulse;

[0043] Figure 7 A schematic diagram of a genetic algorithm flow chart provided by an embodiment of the present invention;

[0044] Figure 8 The 3D model of the push plate with bionic rib layout and the push plate with tic-tac-toe layout provided in the embodiment of the present invention, wherein:

[0045] A is the 3D model of the push plate with bionic stiffener layout, and B is the 3D model of the push plate with tic-tac-toe layout;

[0046] Fig. 9 The static analysis results of the push plate with bionic stiffener layout and the push plate with tic-tac-toe layout provided in the embodiments of the present invention, wherein:

[0047] A is the stress and deformation cloud diagram of the push plate with bionic stiffener layout, and B is the stress and deformation cloud diagram of the tic-tac-toe push plate. DETAILED DESCRIPTION

[0048] In order to make the purpose, technical scheme and advantages of the present invention clearer, the present invention will be further described in detail below with reference to the accompanying drawings. Obviously, the described embodiments are only part of the embodiments of the present invention, rather than all the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by ordinary technicians in this field without creative work are within the scope of protection of the present invention.

[0049] Figure 1 The schematic diagram of the process of designing a bionic reinforcement rib of a garbage truck push plate provided by an embodiment of the present invention is shown in detail, including:

[0050] Step 101, establishing a mechanical model of a fully loaded garbage truck, and determining the load acting on the push plate under extreme working conditions.

[0051] In one example, the limit condition is the moment when unloading begins and the system is in a static equilibrium state.

[0052] During the accumulation of garbage, the garbage will spontaneously evolve into a self-organized shape, and the random evolution of its shape follows the law of two-dimensional normal distribution. Since the shape of the elliptical paraboloid is similar to the shape of the two-dimensional normal distribution surface, the ellipsoidal paraboloid is selected as an approximate model to describe the surface shape of the garbage before compression. Its mathematical expression is:

[0053]

[0054] Among them, p,q>0, are the axis parameters of the ellipsoidal paraboloid.

[0055] The body is a key component of the rear-loading compression garbage truck. Its main function is to carry garbage, while also supporting the push plate guide rail and the push plate cylinder. Therefore, its structural strength, wear resistance, and corrosion resistance are very high. The push plate assembly is one of the core components of the rear-loading compression garbage truck and is located at the rear of the car body. During the whole machine loading process, the push plate assembly and the loading mechanism jointly compress the garbage in both directions to ensure that the garbage is compacted until the whole machine car body is filled. The degree of compression of the garbage can be calculated by the change in the surface position before and after the garbage is compressed.

[0056] For a fully loaded garbage truck compartment, the push plate is equivalent to the rear side plate of the compartment. The loads acting on the garbage truck compartment include self-weight load, inertia load and compression load. Since the direction of gravity is always vertically downward, the self-weight load only acts on the upper and lower plates of the compartment. The mechanical model of the self-weight load is as follows: Figure 2 As shown, the expression of its deadweight load density is:

[0057] P 1z =g s |Z sur (x,y)-Z bot (x,y)|

[0058] Among them, P 1z is the deadweight load density of the base plate, g s is the product of the garbage density per unit volume and gravity, Z sur (x, y) is the z coordinate of any point (x, y) on the bottom plate projected onto the garbage ellipsoid parabola. bot (x,y) is the z coordinate of any point (x,y) on the base plate.

[0059] In one example, the load acting on the push plate includes an inertial load and a compression load. The inertial load is mainly generated when the garbage truck accelerates. The mechanical model of the inertial load is as follows: Figure 3 As shown, the expression of inertial load density is:

[0060] P 2x =a xs |x sur (y,z)-x behind (y,z)|μ

[0061] Among them, P 2x is the inertial load density, a xs is the inertial acceleration in the x direction, a xs Corresponds to Figure 3 a in Figure 3 where v is the speed determined by a, and x sur (y,z) is the x coordinate of any point (y,z) on the push plate projected onto the garbage ellipsoid parabola, x behind (y,z) is the x-coordinate of any point (y,z) on the push plate, μ is the Poisson’s ratio;

[0062] The mechanical model of the compressive load on a fully loaded garbage truck is as follows: Figure 4 As shown, A is the side view and B is the front view. The compression load on the push plate is mainly generated by the garbage in the shadow area. The expression of compression load density is as follows:

[0063] P 3x =K x g s |X sur (y,z)-X behind (y,z)|

[0064] Among them, P 3x is the compression load density, K x is the dimensionless elastic coefficient of the compressed garbage in the x direction.

[0065] The deadweight load, inertia load and compression load can be obtained by multiplying the deadweight load density, inertia load density and compression load density by the volume.

[0066] Under extreme working conditions, the cylinder thrust is equal to the sum of the inertia load and the compression load.

[0067] Step 102 , establishing a 3D model for the stiffened plate, meshing the 3D model to obtain a finite element model, and applying loads and constraints to the finite element model.

[0068] Specifically, the stiffened plate consists of a base plate and stiffening ribs, and the stiffening ribs are arranged on the base plate. Figure 5 A push plate structure is shown, comprising a base plate 1, a cylinder 2, a hinge 3 and a slider 4, wherein two sliders 4 are provided on each side of the bottom of the push plate.

[0069] 3D models can be created using Solidworks or other 3D modeling software.

[0070] In one example, imposing constraints includes:

[0071] Apply a given displacement constraint to the hinge point along the x direction. The hinge point is used to connect the cylinder and the push plate.

[0072] A given displacement constraint is applied to the slider in the y direction and the z direction respectively, and the slider makes the push plate move relative to the slide rail inside the compartment.

[0073] Imposing a given displacement constraint on a certain direction means that movement in that direction is not allowed.

[0074] In one example, meshing, applying loads, and applying constraints are all implemented in the APDL module of ANSYS, and the meshing includes setting the cell size to 4 mm and selecting the type to be tetrahedron.

[0075] Specifically, the finite element model adopts the discrete plate beam theory, including:

[0076] Use plate and shell elements to simulate the substrate;

[0077] The stiffeners are modeled using beam elements.

[0078] In the above scheme, the distribution of the reinforcement can be optimized by adding or deleting beam elements.

[0079] Step 103, using the dicotyledonous plant leaf as a bionic prototype to determine the growth mathematical model of the reinforcing rib, setting the main reinforcing rib on the central axis of the reinforced plate, and selecting the growth point of the secondary reinforcing rib on the main reinforcing rib based on the genetic algorithm.

[0080] The growth of leaf veins can be viewed as an iterative process, and each growth step can be modeled as follows, consuming the least amount of vein material while minimizing the average flexibility of the leaf:

[0081]

[0082] Where u is the displacement field of the plant leaf, U is the kinematically allowed displacement field space, x is the growth variable, J is the average flexibility of the plant leaf, which is used to measure the bearing capacity of the leaf. The first constraint indicates that the leaf is in equilibrium under the environmental load, Ω is the area covered by the leaf, and D ijkl is the stiffness tensor, ε ij (u) and ε kl (v) are the structural strains corresponding to the real displacement u and the arbitrary virtual displacement v, f is the body force, and p is the traction part applied to the blade boundary. The second constraint is about the amount of material available for vein growth. ρ and V(x) are the material density and volume of the vein, respectively. W max is the upper limit of material consumption, x ad represents the allowed growth variable space.

[0083] Figure 6 The leaf vein structure is shown, including the main vein 5 and the secondary vein 6. Referring to the leaf vein structure, the reinforcement ribs include the main reinforcement ribs and the secondary reinforcement ribs. The design of the reinforced plate is the process of determining the optimal layout of the reinforcement ribs, and its growth mathematical model is expressed as follows:

[0084]

[0085] Among them, P is an ordered set storing all rib direction information, S is an ordered set storing all rib size information, f(P,S) is the optimization target, W(P,S) is the material consumption of all ribs, and W0 is the upper limit of the material consumption of the ribs.

[0086] In consideration of the convenience of processing and production, the embodiment of the present invention arranges the main reinforcing ribs on the central axis of the stiffened plate.

[0087] In one example, the objective function of the genetic algorithm is:

[0088]

[0089] in, is the conversion volume ratio coefficient, N ls is the number of longitudinal reinforcement ribs, N ls =1, longitudinal reinforcement is main reinforcement, N ts is the number of transverse reinforcement ribs, 1≤N ts ≤10, transverse reinforcement is perpendicular to longitudinal reinforcement, t s is the thickness of the reinforcement, 3≤t s ≤40,h s is the height of the reinforcement, h s ≤150, and wmax is the maximum displacement of the stiffened plate, L p , W p , H p are the length, width and height of the substrate respectively.

[0090] The process of genetic algorithm is as follows Figure 7 As shown in the figure, gc is the maximum number of consecutive iterations that do not reach the optimal solution, n is the maximum number of times the algorithm stops iterating, and i and j are counters that start counting from 1. ls , the number of transverse stiffeners N ts , Thickness of the reinforcement t s , Height of the reinforcement rib h s and conversion volume ratio coefficient The five parameters are used as the "genes" of the population to be optimized. n=50 is used as the stopping parameter of the algorithm, that is, the algorithm stops running after 50 generations. gc=10 is used as the adaptive criterion. Without improving the objective function, the algorithm inserts new individuals into the population every 10 generations (new individuals can be generated through crossover mutation), tests new genes, and escapes from local minima.

[0091] In one example, starting with an initial population of 100 individuals, the crossover probability is 80% and the mutation probability is 1%; in each generation, the algorithm performs 5% local search, and the elite rate is 10% for the most suitable solution; after mutation, crossover and selection, the optimal solution for each parameter is obtained.

[0092] Furthermore, the growth point of the secondary reinforcement is the intersection of the longitudinal reinforcement and the transverse reinforcement. The transverse reinforcement is only used to determine the growth point of the secondary reinforcement and is not equivalent to the secondary reinforcement. Referring to the leaf vein structure, the secondary reinforcement is not perpendicular to the main reinforcement.

[0093] In one example, the genetic algorithm is implemented in MATLAB.

[0094] Step 104, for each growth point, values ​​are taken in turn within a preset angle range as growth angles, and the growth angle that minimizes the maximum equivalent stress value in the specific area is determined to be the optimal growth direction. The secondary reinforcing ribs grow from the growth point to the edge of the substrate on both sides of the main reinforcing ribs along the optimal growth direction.

[0095] Specifically, the growth angle is the angle between the primary reinforcing rib and the secondary reinforcing rib.

[0096] In one example, the preset angle range is 25° to 75°.

[0097] Specifically, the specific area is a fan-shaped area with the growth point as the center, the preset length as the radius, and the central angle with the main reinforcement rib as the growth angle.

[0098] In one example, the preset length is 20 cm.

[0099] The equivalent stress is obtained through static analysis, and the deformation cloud diagram can also be obtained by static analysis. It should be noted that the maximum equivalent stress value is the maximum value of the equivalent stress in a specific area.

[0100] Since the structures of push plates are similar but differ in size, the above scheme can design a reasonable reinforcement layout for push plates of different sizes according to different vehicle models, which not only effectively guarantees the push plate's resistance to plastic deformation during the warranty period, but also greatly increases the space for lightweight design of push plates, thereby improving the economic benefits for enterprises. By establishing a mechanical model of a fully loaded garbage truck, the load and constraints on the push plate can be quickly determined through calculation and reasoning without the need for field testing in a working environment. This is both rigorous and practical, and avoids the problems of manpower, time and material loss in traditional design methods, thus reducing the company's operating and production costs.

[0101] In order to verify the effect of the embodiment of the present invention, 3D models of a push plate with a bionic stiffener layout and a push plate with a tic-tac-toe layout were established respectively. Figure 8 As shown, A is the 3D model of the push plate with bionic stiffener layout, and B is the 3D model of the push plate with tic-tac-toe layout. The finite element model is then obtained by meshing, and loads and constraints are applied to the finite element model. Figure 8 In A, the static analysis results are as follows Fig. 9 As shown in the figure, A is the stress and deformation cloud diagram of the push plate with bionic stiffener layout, and B is the stress and deformation cloud diagram of the push plate with tic-tac-toe layout. Fig. 9 From A, we can see that the maximum stress of the push plate with bionic reinforcement rib layout is 37.9Mpa, and the maximum deformation is 0.32mm; Fig. 9 From Figure B, we can see that the maximum stress of the tic-tac-toe push plate is 55.1MPa, and the maximum deformation is 1.16mm. By comparison, the maximum stress of the push plate with bionic rib layout is reduced by 31.2%, and the maximum deformation is reduced by 72.4%. It can be seen that the strength of the push plate with bionic rib layout has been greatly improved, which fully demonstrates that bionic ribs can greatly improve the structural performance. Since the steel grade used for the thin plate structure of the push plate mechanism is Q355B, its ultimate stress is 355MPa. When the safety factor is 2, its allowable stress is 177.5MPa, and its lightweight design space is also improved compared to the tic-tac-toe push plate. In summary, in order to achieve the effect of the bionic rib layout, the tic-tac-toe layout needs to use more steel, and does not take into account the lightweight design requirements. At the same time, more steel will also increase the manufacturing and purchasing costs of the enterprise.

[0102] Although the preferred embodiments of the present invention have been described, those skilled in the art may make additional changes and modifications to these embodiments once they have learned the basic creative concept. Therefore, the appended claims are intended to be interpreted as including the preferred embodiments and all changes and modifications that fall within the scope of the present invention.

[0103] Obviously, those skilled in the art can make various changes and modifications to the present application without departing from the spirit and scope of the present application. Thus, if these modifications and variations of the present application fall within the scope of the claims of the present application and their equivalents, the present application is also intended to include these modifications and variations.

Claims

1. A method for designing bionic reinforcement ribs for a garbage truck push plate, characterized in that: include: Establish a mechanical model of a fully loaded garbage truck and determine the load acting on the push plate under extreme working conditions; A 3D model is established for the stiffened plate, the 3D model is meshed to obtain a finite element model, and the load and constraint are applied to the finite element model, wherein the stiffened plate is composed of a base plate and stiffeners, the stiffeners are arranged on the base plate, and the finite element model adopts a discrete plate beam theory; The growth mathematical model of the reinforcing ribs is determined by taking the dicotyledonous plant leaf as the bionic prototype, the main reinforcing ribs are arranged on the central axis of the reinforcing plate, and the growth points of the secondary reinforcing ribs are selected on the main reinforcing ribs based on the genetic algorithm, wherein the reinforcing ribs include the main reinforcing ribs and the secondary reinforcing ribs; For each growth point, values ​​are taken in sequence within a preset angle range as growth angles, and the growth angle at which the maximum equivalent stress value in a specific area is minimized is determined to be the optimal growth direction. The secondary reinforcing ribs grow from the growth point along the optimal growth direction on both sides of the main reinforcing ribs to the edge of the substrate. The growth angle is the angle between the main reinforcing ribs and the secondary reinforcing ribs. The specific area is a fan-shaped area with the growth point as the center, a preset length as the radius, and the center angle with the main reinforcing ribs as the growth angle.

2. The method according to claim 1, characterized in that: The limit condition is the moment when the material is in a static equilibrium state at the beginning of unloading.

3. The method according to claim 1, characterized in that: The load acting on the push plate includes an inertia load and a compression load, wherein: The expression for inertial load density is as follows: P 2x =a xs |x sur (y,z)-x behind (y,z)|µ Among them, P 2x is the inertial load density, a xs is the inertial acceleration in the x direction, x sur (y,z) is the x coordinate of any point (y,z) on the push plate projected onto the garbage ellipsoid parabola, x behind (y,z) is the x-coordinate of any point (y,z) on the push plate, and μ is the Poisson’s ratio; The expression for the compression load density is as follows: P 3x =K x g s |X sur (y,z)-X behind (y,z)| Among them, P 3x is the compressive load density, K x is the dimensionless elastic coefficient of the compressed garbage in the x direction, g s It is the product of the garbage density per unit volume and gravity.

4. The method according to claim 1, characterized in that: The imposed constraints include: Applying a given displacement constraint to a hinge point along the x direction, wherein the hinge point is used to connect the oil cylinder and the push plate; The given displacement constraints are applied to the slider along the y direction and the z direction respectively, and the slider enables the push plate to perform relative motion on the slide rail inside the compartment.

5. The method according to claim 1, characterized in that: The finite element model adopts the discrete plate beam theory including: The substrate is simulated using plate and shell elements; The stiffeners are modeled using beam elements.

6. The method according to claim 1, characterized in that: The growth mathematical model of the reinforcing rib is expressed as follows: Among them, P is an ordered set storing all rib direction information, S is an ordered set storing all rib size information, f(P,S) is the optimization target, W(P,S) is the material consumption of all ribs, and W0 is the upper limit of the material consumption of the ribs.

7. The method according to claim 6, characterized in that: The objective function of the genetic algorithm is: in, is the conversion volume ratio coefficient N ls is the number of longitudinal reinforcement ribs, N ls =1, the longitudinal reinforcement is the main reinforcement, N ts is the number of transverse reinforcement ribs, 1≤N ts ≤10,t s is the thickness of the reinforcement, 3≤t s ≤40,h s is the height of the reinforcement, h s ≤150, and w max is the maximum displacement of the stiffened plate, L p , W p , H p are respectively the length, width and height of the substrate.

8. The method according to claim 7, characterized in that: The growth point of the secondary reinforcing rib is the intersection of the longitudinal reinforcing rib and the transverse reinforcing rib.

9. The method according to claim 1, characterized in that: The preset angle range is 25° to 75°.

10. The method according to claim 1, characterized in that: The preset length is 20 cm.

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