CN107704700B - Bionic negative Poisson's ratio structure non-inflatable elastic wheel and design method thereof - Google Patents
Bionic negative Poisson's ratio structure non-inflatable elastic wheel and design method thereof Download PDFInfo
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Abstract
The invention discloses a bionic negative-Poisson ratio structure non-inflatable elastic wheel and a design method thereof. Firstly, a parameterized model of the negative Poisson ratio structure is established according to the shape characteristics of the negative Poisson ratio structure, a response surface model of the negative Poisson ratio structure is established by utilizing a Latin hypercube experiment design method and the response surface model, multi-objective optimization design is carried out on an outer loop by utilizing a multi-objective particle swarm optimization algorithm, reliability analysis is carried out on an inner loop by utilizing a radial basis importance sampling technology, and an optimization reliability design solution of the non-inflatable elastic wheel of the bionic negative Poisson ratio structure is obtained. According to the bionic principle of skeletal muscles, the automobile wheel has better rigidity and durability in an emergency, the parameters of the negative Poisson ratio structure are optimized according to different use conditions, and the performance of the bionic non-inflatable elastic wheel with the negative Poisson ratio structure is further enhanced.
Description
Technical Field
The invention belongs to the technical field of negative Poisson ratio structure design and non-inflatable wheel design, and particularly relates to a non-inflatable elastic wheel with a bionic negative Poisson ratio structure and a design method thereof.
Background
Because the flat tire of the automobile has very important influence on the safety of the automobile, the non-pneumatic tire has wide application prospect. Non-pneumatic tires generally take two different forms, solid tires and tires with built-in supports. The solid tire has the advantages of strong bearing capacity, strong environmental adaptation, good durability and the like, but has the defects of heavy weight, difficult heat dissipation, high oil consumption and the like, thereby influencing the popularization and the use of the solid tire in non-pneumatic tires. The built-in support body tire is generally internally provided with a metal and rubber support body in the pneumatic tire, and the support body can better support the weight of the whole vehicle after the air pressure of the tire is rapidly reduced due to tire burst, but the problems of larger weight, difficulty in reduction and higher production cost exist.
The negative poisson ratio structure contracts in the direction perpendicular to the external force when being compressed, expands in the direction perpendicular to the external force when being stretched, and due to the novel characteristics, the mechanical properties of the negative poisson ratio material, such as shear modulus, indentation resistance and the like, are enhanced, and the negative poisson ratio structure shows rigidity enhancement characteristics in a compressed area, so that the negative poisson ratio structure is widely concerned. The patent "201110401962.4" proposes an ultra-light weight non-pneumatic tire structure based on a negative poisson's ratio structure, which greatly reduces the weight of the non-pneumatic tire, and can significantly reduce the weight and fuel consumption level of a vehicle equipped with the non-pneumatic tire. Although the non-pneumatic tire with the negative poisson ratio structure has remarkable progress in light weight and application, the non-pneumatic tire with the negative poisson ratio structure still has the aspect of urgent need for improvement, for example, the negative poisson ratio structure is easy to generate stress concentration at the joint of the basic units, so that the durability and the reliability of the non-pneumatic tire are poor, the performance of the non-pneumatic tire in the actual use process is greatly influenced, meanwhile, the non-pneumatic tire is too complex in structure, complex in production process and high in cost, and therefore the non-pneumatic tire with better durability, reliability and other performances and simple in structure and production process is very critical.
Disclosure of Invention
The purpose of the invention is as follows: the invention aims to solve the problems of poor operation stability, high oil consumption and the like of a whole vehicle caused by overweight of a traditional non-inflatable supporting structure in the prior art and overcome the defects of poor durability and reliability and the like of a non-inflatable tire caused by the fact that a general non-inflatable supporting body with a negative Poisson ratio structure is easy to generate stress concentration at the joint of basic units.
The technical scheme is as follows: in order to achieve the purpose, the invention adopts the technical scheme that:
a bionic negative Poisson's ratio structure non-inflatable elastic wheel comprises a wheel outer tire, a bionic negative Poisson's ratio structure elastic support body, a spoke, an inner rim and an outer rim, wherein the bionic negative Poisson's ratio structure elastic support body is of a hollow cylinder structure, the inner part of the bionic negative Poisson's ratio structure elastic support body comprises a plurality of elastic support cell walls and elastic connection cell walls, the elastic support cell walls are uniformly and symmetrically arranged at intervals along the radial direction of a tire, the adjacent interval of the elastic support cell walls on the (N + 1) th layer is half of the adjacent interval of the elastic support cell walls on the (N) th layer, and N is more; the elastic connection cell walls are annular and are connected with two adjacent elastic support cell walls, the elastic connection cell wall between the two adjacent elastic support cell walls is concave along the midline, the elastic support cell walls and the elastic connection cell walls form an annular symmetrical negative Poisson ratio structure with a concave shape, the concave negative Poisson ratio structures are arranged outwards in a divergent manner in the radial direction of the tire layer by layer, and the size of the concave negative Poisson ratio structure close to the inner rim is larger than that of the concave negative Poisson ratio structure close to the outer rim;
the bionic negative Poisson's ratio structure elastic support body is respectively connected with the inner rim and the outer rim at the inner side and the outer side, the inner rim is simultaneously connected with the spoke, and the outer rim is connected with the wheel outer tire.
Furthermore, the elastic supporting cell walls are uniformly and symmetrically arranged at intervals along the circumferential direction, and the elastic connecting cell walls are connected by crossing the elastic supporting cell walls; the elastic connecting cell walls are arranged in layers which are divergently outwards along the radial direction of the tire, and the height of each layer is the same, or is increased or decreased in sequence.
Further, the base material of the elastic support cell walls and the elastic connection cell walls is any one of aluminum, steel, alloy, ceramic, rubber and resin plastic.
Furthermore, the bionic negative Poisson's ratio structure elastic support body is produced by adopting a manufacturing process including welding, 3D printing and bonding.
According to the design method of the bionic negative Poisson ratio structure non-inflatable elastic wheel, in the structural design process, firstly, a parameterized model is established according to the shape characteristics of a negative Poisson ratio structure, then, a response surface model of the negative Poisson ratio structure is established by utilizing a Latin hypercube experimental design method and the response surface model, and multi-objective optimization design is carried out on an outer loop and reliability analysis is carried out on an inner loop by utilizing a radial basis importance sampling technology by utilizing a multi-objective particle swarm optimization algorithm, so that an optimization reliability design solution of the bionic negative Poisson ratio structure non-inflatable elastic wheel is obtained; the method specifically comprises the following steps:
1) establishing a parameterized model of the bionic negative Poisson ratio structure elastic support body;
2) establishing a hybrid analysis model of the non-inflatable elastic wheel with the bionic negative Poisson ratio structure;
3) establishing a multi-working-condition multi-target reliability analysis model of the non-inflatable elastic wheel with the bionic negative Poisson ratio structure;
4) establishing an approximate analysis model of the non-inflatable elastic wheel with the bionic negative Poisson ratio structure;
5) performing multi-objective reliability optimization design on the non-inflatable elastic wheel with the bionic negative Poisson's ratio structure;
6) selecting an optimal multi-target reliability design solution of the non-inflatable elastic wheel with the bionic negative Poisson ratio structure, and obtaining a multi-target reliability optimal design solution set in the step 5), so that an optimal solution satisfaction function S is adopted to select the optimal multi-target reliability design solution of the non-inflatable elastic wheel with the bionic negative Poisson ratio structure, wherein the optimal solution satisfaction function is as follows:
wherein, ObjiFor the ith design objective in the multi-objective optimization design, t is the total number of objectives, Obj, of the multi-objective optimization designi,maxIn the ith design objective for multi-objective reliability solutionMaximum value of, Obji,minThe minimum value in the first design objective is resolved for multi-objective reliability.
Further, the specific method for establishing the parameterized model of the bionic negative poisson ratio structure elastic support body in the step 1) comprises the following steps: selecting the number of layers of a negative Poisson ratio structure, the number of basic units of the negative Poisson ratio structure, the thickness of an elastic support cell wall, the length of the elastic support cell wall, the width of the elastic support cell wall, the thickness of an elastic connection cell wall, the length of the elastic connection cell wall, the width of the elastic connection cell wall and the angle between the elastic support cell wall and the elastic connection cell wall as design parameters, and generating a parameterized model of the bionic negative Poisson ratio structure elastic support body in MATLAB by utilizing the relationship among the parameters.
Further, the specific method for establishing the hybrid analysis model of the bionic negative poisson ratio structure non-inflatable elastic wheel in the step 2) comprises the following steps: respectively establishing finite element analysis models of the wheel outer tire, the wheel spoke, the inner rim and the outer rim in finite element pretreatment software, and then combining the parameterized model of the bionic negative poisson ratio structure elastic support body established in the step 1) with the parameterized model, thereby establishing a non-inflatable elastic wheel mixed analysis model of the bionic negative poisson ratio structure, which can be used for finite element analysis under different working conditions.
Further, the specific method for establishing the approximate analysis model of the non-inflatable elastic wheel with the bionic negative poisson ratio structure in the step 3) comprises the following steps: firstly, generating sample points required by experimental design by using a Latin hypercube experimental design method, generating m sample points by an outer circulation array and generating n sample points by an inner circulation array in order to consider the influence of uncertainty of design parameters, and generating m x n sample points by respectively combining the sample points of the inner circulation array and the sample points of the outer circulation array; and then establishing a finite element approximate analysis model of the bionic negative Poisson ratio structure non-inflatable elastic wheel by using a response surface model method.
Further, the specific method for establishing the multi-working-condition multi-target reliability analysis model of the non-inflatable elastic wheel with the bionic negative Poisson's ratio structure in the step 4) comprises the following steps: aiming at three different design targets of light weight, durability, smoothness and the like of the non-inflatable elastic wheel with the bionic negative Poisson ratio structure, the most common typical working conditions of an application object of the non-inflatable elastic wheel with the bionic negative Poisson ratio structure, including idling, acceleration and deceleration, in the actual use process are comprehensively considered, constraint factors of different factors in the structure design process are analyzed, and therefore the multi-working-condition multi-target reliability analysis model of the non-inflatable elastic wheel with the bionic negative Poisson ratio structure is established.
Further, the specific method for performing multi-objective reliability optimization design on the bionic negative poisson's ratio structure non-inflatable elastic wheel in the step 5) comprises the following steps: the multi-objective reliability optimization design solution set of the bionic negative Poisson ratio structure non-inflatable elastic wheel structure design can be obtained by utilizing the multi-objective particle swarm optimization algorithm to carry out multi-objective optimization design on the bionic negative Poisson ratio structure non-inflatable elastic wheel in the outer circulation and utilizing the radial basis importance sampling technology to carry out reliability analysis on the structural design in the inner circulation.
Has the advantages that: compared with the prior art, the non-inflatable elastic wheel with the bionic negative Poisson's ratio structure and the design method thereof provided by the invention have the following advantages:
1. the bionic negative Poisson ratio structure non-inflatable elastic wheel is provided by taking the bionic principle of skeletal muscles as reference, the elastic support cell wall and the elastic connection cell wall form a ring-shaped symmetrical negative Poisson ratio structure support body with a certain concave shape, so that the non-inflatable support body has an ultra-light structure, the integral operation stability is improved, the oil consumption is reduced, and the bionic negative Poisson ratio structure support body has better toughness and durability through the bionic design of the structure;
2. the method comprises the steps of comprehensively applying a bionic negative Poisson ratio structure non-inflatable elastic wheel parameterized model, a Latin hypercube sampling method, a response surface approximation model, a radial basis importance sampling technology and a multi-objective particle swarm optimization algorithm and optimizing negative Poisson ratio structure parameters according to different use conditions, so that an optimal reliability design solution of the bionic negative Poisson ratio structure non-inflatable elastic wheel is obtained, and performances such as light weight, durability and the like are further enhanced.
Drawings
FIG. 1 is a schematic view of a non-pneumatic elastic wheel with a bionic negative Poisson's ratio structure.
FIG. 2 is a schematic view of a biomimetic negative Poisson's ratio structural elastic support.
FIG. 3 is a multi-objective reliability optimization design schematic of the present invention.
In fig. 1, 1 is a bionic negative poisson's ratio structure elastic support body, 2 is an inner rim, 3 is an outer rim, 4 is a spoke, 5 is a wheel outer tire, 6 is an elastic support cell wall, and 7 is an elastic connection cell wall in fig. 2.
Detailed Description
The invention relates to a bionic negative-Poisson ratio structure non-inflatable elastic wheel and a design method thereof. The negative Poisson ratio structure is designed according to skeletal muscles, and the negative Poisson ratio structure filling structure comprises elastic supporting cell walls and elastic connecting cell walls, wherein the elastic supporting cell walls and the elastic connecting cell walls form a ring-shaped and symmetrical negative Poisson ratio structure with a certain concave shape. Like bone, the elastically supporting cell walls give the negative poisson's ratio structure increased stiffness; like the tendon of skeletal muscle, the elastic connection of the cell wall gives the negative poisson's ratio structure better toughness and durability. In the structural design process, firstly, a parameterized model of the negative Poisson ratio structure is established according to the shape characteristics of the negative Poisson ratio structure, then a response surface model of the negative Poisson ratio structure is established by utilizing a Latin hypercube experimental design method and the response surface model, and multi-objective optimization design is carried out on an outer loop by utilizing a multi-objective particle swarm optimization algorithm and reliability analysis is carried out on an inner loop by utilizing a radial basis importance sampling technology, so that an optimization reliability design solution of the non-inflatable elastic wheel of the bionic negative Poisson ratio structure is obtained. The invention provides the non-inflatable elastic wheel with the bionic negative Poisson ratio structure, which is circularly symmetric according to the bionic principle of skeletal muscles, so that the automobile wheel has better rigidity and durability in an emergency, and the parameters of the negative Poisson ratio structure are optimized according to different use conditions, thereby further enhancing the performance of the non-inflatable elastic wheel with the bionic negative Poisson ratio structure.
The present invention will be further described with reference to the accompanying drawings.
Examples
The present invention will be better understood from the following examples. However, those skilled in the art will readily appreciate that the specific material ratios, process conditions and results thereof described in the examples are illustrative only and should not be taken as limiting the invention as detailed in the claims.
As shown in figure 1, the invention develops a bionic negative Poisson ratio structure non-inflatable elastic wheel, which comprises a wheel outer tire, a bionic negative Poisson ratio structure elastic support body, a spoke, an inner rim and an outer rim. As shown in fig. 2, the bionic negative poisson ratio structure elastic support body comprises an elastic support cell wall and an elastic connection cell wall, the elastic support cell wall and the elastic connection cell wall form a ring-shaped symmetrical negative poisson ratio structure with a certain concave shape, the concave negative poisson ratio structures are arranged layer by layer in a divergent manner outwards along the radial direction of the tire, and the size of the concave negative poisson ratio structure close to the inner rim is larger than that of the concave negative poisson ratio structure close to the outer rim. The bionic negative Poisson's ratio structure elastic support body is respectively connected with the inner rim and the outer rim at the inner side and the outer side, the inner rim is simultaneously connected with the spoke, and the outer rim is connected with the wheel outer tire. The base materials of the elastic supporting cell walls and the elastic connecting cell walls can be different materials such as aluminum, steel, alloy, ceramic, rubber, resin plastic and the like, and the base materials are selected according to the weight and the working condition of a vehicle model in the design process. The bionic negative Poisson's ratio structure elastic support body can be produced by adopting different manufacturing processes such as welding, 3D printing, bonding and the like.
FIG. 3 is a flow chart of the design method of the present invention.
Step 1): in the design process, firstly, a parameterized model of the bionic negative Poisson's ratio structure elastic support body is established. The bionic elastic support body with the negative Poisson ratio structure is circularly symmetrical, so that the parameterized model of the whole elastic support body with the negative Poisson ratio structure can be generated only by establishing the parameterized model of one basic unit and then rotating the parameterized model by a certain angle according to a certain rule when establishing the parameterized model. In the design process, the number of layers of a negative Poisson ratio structure, the number of basic units of the negative Poisson ratio structure, the thickness of an elastic support cell wall, the length of the elastic support cell wall, the width of the elastic support cell wall, the thickness of an elastic connection cell wall, the length of the elastic connection cell wall, the width of the elastic connection cell wall and the angle between the elastic support cell wall and the elastic connection cell wall are selected as design parameters, and a parameterized model of the bionic negative Poisson ratio structure elastic support body is generated in MATLAB by utilizing the relationship among the parameters.
Step 2): respectively establishing finite element analysis models of the wheel outer tire, the wheel spoke, the inner rim and the outer rim in finite element pretreatment software, and then combining the parameterized model of the bionic negative poisson ratio structure elastic support body established in the step 1) with the parameterized model, thereby establishing a non-inflatable elastic wheel mixed analysis model of the bionic negative poisson ratio structure, which can be used for finite element analysis under different working conditions.
Step 3): and establishing an approximate analysis model of the bionic negative Poisson ratio structure non-inflatable elastic wheel. The Latin hypercube experiment design method is applied to generate sample points required by experiment design, in order to consider the influence of uncertainty of design parameters, 150 sample points are generated by the outer circulation array, 4 sample points are generated by the inner circulation array, and 600 sample points are generated by respectively combining the sample points of the inner circulation array and the sample points of the outer circulation array. And then establishing a finite element approximate analysis model of the bionic negative Poisson ratio structure non-inflatable elastic wheel by using a response surface model method, thereby reducing the calculation cost and improving the calculation efficiency.
Step 4): and establishing a multi-working-condition multi-target reliability analysis model of the non-inflatable elastic wheel with the bionic negative Poisson's ratio structure. Aiming at two design targets of light weight, durability and the like of the non-inflatable elastic wheel with the bionic negative Poisson ratio structure, several most common typical working conditions of an application object of the non-inflatable elastic wheel with the bionic negative Poisson ratio structure in the actual use process are comprehensively considered, and constraint factors of different factors in the structure design process are analyzed, so that a multi-working-condition multi-target reliability analysis model of the non-inflatable elastic wheel with the bionic negative Poisson ratio structure is established.
Step 5): and performing multi-objective reliability optimization design on the non-inflatable elastic wheel with the bionic negative Poisson's ratio structure and selecting an optimal multi-objective reliability design solution. The multi-objective reliability optimization design solution set of the bionic negative Poisson ratio structure non-inflatable elastic wheel structure design can be obtained by utilizing the multi-objective particle swarm optimization algorithm to carry out multi-objective optimization design on the bionic negative Poisson ratio structure non-inflatable elastic wheel in the outer circulation and utilizing the radial basis importance sampling technology to carry out reliability analysis on the structural design in the inner circulation. The obtained multi-objective reliability optimization design solution set is 38 groups, so that an optimal multi-objective reliability design solution of the bionic negative Poisson's ratio structure non-inflatable elastic wheel is selected by adopting an optimal solution satisfaction function:
wherein D is a durability design target and is represented by the maximum stress value in the structure corresponding to each group of design solutions, and D isminIs 212MPa, DmaxIs 268 MPa; m is a lightweight design objective and is represented by the total weight of the structure corresponding to each group of design solutions, Mmin5.61kg, MmaxThe optimal solution was 7.24kg, D of the optimal design solution was 234MPa, M was 6.48kg, and the value of the satisfaction function of the optimal solution was 0.93. Because the satisfaction function value obtained by the set of solutions is the minimum satisfaction function obtained in all design solutions, the set of multi-objective reliability optimization design parameters is adopted as the optimal solution during design.
The above description is only of the preferred embodiments of the present invention, and it should be noted that: it will be apparent to those skilled in the art that various modifications and adaptations can be made without departing from the principles of the invention and these are intended to be within the scope of the invention.
Claims (10)
1. The utility model provides a non-inflatable elastic wheel of bionical negative poisson's ratio structure which characterized in that: the bionic negative Poisson's ratio structure elastic support body is characterized by comprising a wheel outer tire (5), a bionic negative Poisson's ratio structure elastic support body (1), a spoke (4), an inner rim (2) and an outer rim (3), wherein the bionic negative Poisson's ratio structure elastic support body (1) is of a hollow cylinder structure, the bionic negative Poisson's ratio structure elastic support body internally comprises a plurality of elastic support cell walls (6) and elastic connection cell walls (7), the elastic support cell walls (6) are uniformly and symmetrically arranged at intervals in the radial direction of a tire, the adjacent interval of the elastic support cell walls (6) on the (N + 1) th layer is half of the adjacent interval of the elastic support cell walls on the (; the elastic connection cell walls (7) are annular and are connected with two adjacent elastic support cell walls (6), the elastic connection cell wall (7) between the two adjacent elastic support cell walls (6) is concave along the midline, the elastic support cell walls (6) and the elastic connection cell walls (7) form a ring-shaped symmetrical negative Poisson ratio structure with a concave shape, the concave negative Poisson ratio structures are arranged outwards in a divergent manner in the radial direction of the tire layer by layer, and the size of the concave negative Poisson ratio structure close to the inner rim (2) is larger than that of the concave negative Poisson ratio structure close to the outer rim (3);
the bionic negative Poisson's ratio structure elastic support body (1) is respectively connected with the inner rim (2) and the outer rim (3) inside and outside, the inner rim (2) is simultaneously connected with the spoke (4), and the outer rim (3) is connected with the wheel outer tire (5).
2. The biomimetic negative poisson's ratio structural non-pneumatic resilient wheel of claim 1, wherein: the elastic supporting cell walls (6) are uniformly and symmetrically arranged at intervals along the circumferential direction, and the elastic connecting cell walls (7) are connected by crossing the elastic supporting cell walls (6); the elastic connecting cell walls (7) are arranged in layers which are divergently arranged outwards along the radial direction of the tire, and the height of each layer is the same or is increased or decreased in sequence.
3. The biomimetic negative poisson's ratio structural non-pneumatic resilient wheel of claim 1, wherein: the base material of the elastic supporting cell wall (6) and the elastic connecting cell wall (7) is any one of aluminum, steel, alloy, ceramic, rubber and resin plastic.
4. The biomimetic negative poisson's ratio structural non-pneumatic resilient wheel of claim 1, wherein: the bionic negative Poisson's ratio structure elastic support body (1) is produced by adopting a manufacturing process including welding, 3D printing and bonding.
5. The method for designing a non-pneumatic elastic wheel with a bionic negative Poisson's ratio structure according to claim 1, wherein the method comprises the following steps: in the structural design process, firstly, a parameterized model of the negative poisson ratio structure is established according to the shape characteristics of the negative poisson ratio structure, then a response surface model of the negative poisson ratio structure is established by utilizing a Latin hypercube experimental design method and the response surface model, and multi-objective optimization design is carried out on an outer loop and reliability analysis is carried out on an inner loop by utilizing a radial basis importance sampling technology by utilizing a multi-objective particle swarm optimization algorithm, so that an optimization reliability design solution of the non-inflatable elastic wheel of the bionic negative poisson ratio structure is obtained; the method specifically comprises the following steps:
1) establishing a parameterized model of the bionic negative Poisson ratio structure elastic support body;
2) establishing a hybrid analysis model of the non-inflatable elastic wheel with the bionic negative Poisson ratio structure;
3) establishing a multi-working-condition multi-target reliability analysis model of the non-inflatable elastic wheel with the bionic negative Poisson ratio structure;
4) establishing an approximate analysis model of the non-inflatable elastic wheel with the bionic negative Poisson ratio structure;
5) performing multi-objective reliability optimization design on the non-inflatable elastic wheel with the bionic negative Poisson's ratio structure;
6) selecting an optimal multi-target reliability design solution of the non-inflatable elastic wheel with the bionic negative Poisson ratio structure, and obtaining a multi-target reliability optimal design solution set in the step 5), so that an optimal solution satisfaction function S is adopted to select the optimal multi-target reliability design solution of the non-inflatable elastic wheel with the bionic negative Poisson ratio structure, wherein the optimal solution satisfaction function is as follows:
wherein, ObjiFor the ith design objective in the multi-objective optimization design, t is the total number of objectives, Obj, of the multi-objective optimization designi,maxMaximum value in ith design objective, Obj, in solution for multi-objective reliabilityi,minThe minimum value in the ith design objective in the solution is solved for multi-objective reliability.
6. The method for designing a non-pneumatic elastic wheel with a bionic negative Poisson's ratio structure according to claim 5, wherein the method comprises the following steps: the specific method for establishing the parameterized model of the bionic negative Poisson's ratio structure elastic support body in the step 1) comprises the following steps: selecting the number of layers of a negative Poisson ratio structure, the number of basic units of the negative Poisson ratio structure, the thickness of an elastic support cell wall, the length of the elastic support cell wall, the width of the elastic support cell wall, the thickness of an elastic connection cell wall, the length of the elastic connection cell wall, the width of the elastic connection cell wall and the angle between the elastic support cell wall and the elastic connection cell wall as design parameters, and generating a parameterized model of the bionic negative Poisson ratio structure elastic support body in MATLAB by utilizing the relationship among the parameters.
7. The method for designing a non-pneumatic elastic wheel with a bionic negative Poisson's ratio structure according to claim 5, wherein the method comprises the following steps: the specific method for establishing the hybrid analysis model of the bionic negative Poisson ratio structure non-inflatable elastic wheel in the step 2) comprises the following steps: respectively establishing finite element analysis models of the wheel outer tire, the wheel spoke, the inner rim and the outer rim in finite element pretreatment software, and then combining the parameterized model of the bionic negative poisson ratio structure elastic support body established in the step 1) with the parameterized model, thereby establishing a non-inflatable elastic wheel mixed analysis model of the bionic negative poisson ratio structure, which can be used for finite element analysis under different working conditions.
8. The method for designing a non-pneumatic elastic wheel with a bionic negative Poisson's ratio structure according to claim 5, wherein the method comprises the following steps: the specific method for establishing the approximate analysis model of the bionic negative Poisson ratio structure non-inflatable elastic wheel in the step 4) comprises the following steps: firstly, generating sample points required by experimental design by using a Latin hypercube experimental design method, generating m sample points by an outer circulation array and generating n sample points by an inner circulation array in order to consider the influence of uncertainty of design parameters, and generating m x n sample points by respectively combining the sample points of the inner circulation array and the sample points of the outer circulation array; and then establishing a finite element approximate analysis model of the bionic negative Poisson ratio structure non-inflatable elastic wheel by using a response surface model method.
9. The method for designing a non-pneumatic elastic wheel with a bionic negative Poisson's ratio structure according to claim 5, wherein the method comprises the following steps: step 3) the specific method for establishing the multi-working-condition multi-target reliability analysis model of the bionic negative Poisson's ratio structure non-inflatable elastic wheel comprises the following steps: aiming at three different design targets of light weight, durability and smoothness of the non-inflatable elastic wheel with the bionic negative Poisson ratio structure, the most common typical working conditions of an application object of the non-inflatable elastic wheel with the bionic negative Poisson ratio structure, including idling, acceleration and deceleration, in the actual use process are comprehensively considered, constraint factors of different factors in the structure design process are analyzed, and therefore the multi-working-condition multi-target reliability analysis model of the non-inflatable elastic wheel with the bionic negative Poisson ratio structure is established.
10. The method for designing a non-pneumatic elastic wheel with a bionic negative Poisson's ratio structure according to claim 5, wherein the method comprises the following steps: step 5) the specific method for carrying out multi-objective reliability optimization design on the non-inflatable elastic wheel with the bionic negative Poisson's ratio structure comprises the following steps: the multi-objective reliability optimization design solution set of the bionic negative Poisson ratio structure non-inflatable elastic wheel structure design can be obtained by utilizing the multi-objective particle swarm optimization algorithm to carry out multi-objective optimization design on the bionic negative Poisson ratio structure non-inflatable elastic wheel in the outer circulation and utilizing the radial basis importance sampling technology to carry out reliability analysis on the structural design in the inner circulation.
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| CN111114204A (en) * | 2020-01-20 | 2020-05-08 | 季华实验室 | Support body, non-pneumatic tire, method for manufacturing non-pneumatic tire, and method for manufacturing elastic support portion |
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