CN112052538B - Bionic source hybridization method - Google Patents

Bionic source hybridization method Download PDF

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CN112052538B
CN112052538B CN202010933203.1A CN202010933203A CN112052538B CN 112052538 B CN112052538 B CN 112052538B CN 202010933203 A CN202010933203 A CN 202010933203A CN 112052538 B CN112052538 B CN 112052538B
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杨勇
彭漩
朱其新
曹自洋
蒋全胜
卢金斌
张元晶
刘威
沈晔湖
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Hefei Wisdom Dragon Machinery Design Co ltd
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Abstract

The invention discloses a biomimetic source hybridization method for biological high-efficiency bearing performance integration, which comprises the following steps: 1. constructing a bionic source biological efficient bearing coupling element model based on the description of the element matrix; 2. constructing a mathematical model of the dominant performance integration problem according to the definition description of the efficient bearing dominant performance integration problem; 3. solving the integration problem based on the expansibility of the physical element to obtain a solution scheme of the dominant performance integration problem; 4. evaluating the weight influence of each coupling element and coupling element characteristics aiming at the high specific stiffness dominant performance of the bionic source organism, extracting the coupling element and the coupling element characteristics which play a decisive role in the high specific stiffness dominant performance, and defining the coupling element and the coupling element characteristics as gene coupling elements and gene coupling element characteristics; 5. and (3) performing biological coupling element hybridization integration based on the extensible transformation of the genetic coupling elements to obtain hybrid simulated source coupling elements integrated with the biological efficient bearing advantage performance, namely hybrid simulated source space structure topology.

Description

Bionic source hybridization method
Technical Field
The invention relates to a mechanical structure bionic design method, in particular to a bionic source hybridization method for integration of biological high-efficiency bearing performance.
Background
By adopting a bionics method and by means of a high-efficiency bearing configuration in organism space, the high-specific stiffness structure bionic optimization design is carried out on the mechanical structure, and the structure light-weight high-specific stiffness design is realized, so that the method is one of the important means for light-weight mechanical structure.
Various high-performance space topological structures with excellent performances in nature provide endless inspiration source for mechanical high-specific stiffness structure optimization innovation design. The spatial topological configuration of organisms is the result of hundreds of millions of years of natural selection and life evolution, and fully reflects the trend of natural evolution: the best spatial configuration and the least material are used to withstand the greatest external forces, i.e. the best structural efficiency, i.e. the highest specific stiffness.
Although there are many light and efficient structures in nature, the efficient bearing structures, bearing-mechanical properties and mechanisms are greatly different. Limited by the specific natural environment of the simulated source, the mechanical adaptability of the biological topological configuration is single, for example, the vein distribution is more suitable for bending moment load, the bearing performance of the honeycomb structure on the coplanar direction is better, and the mechanical bearing performance of the honeycomb structure on the non-coplanar direction is much worse.
The prior mechanical structure bionic design method is more oriented to a single bionic source, and the process is simple because only the single bionic source is selected, but the mechanical adaptability of the biological topological configuration of the single bionic source is single or the mechanical property is insufficient, so that the bearing mechanical property of the final bionic design structure is insufficient.
When the mechanical structure bionic design adopts two or more than two bionic sources, the mechanical structure bionic design can draw the high-efficiency bearing advantage performance of different bionic sources, but the design process is difficult to carry out or the final design fails due to the difficulty in fusing the biological high-efficiency bearing performance of different bionic sources.
Disclosure of Invention
The invention aims to: aiming at the problem that the bearing mechanical property of the biological topological configuration may be insufficient when a single simulated source is adopted in the existing structure bionic design process and the high-efficiency bearing property is difficult to fuse when a plurality of simulated sources are adopted, the invention aims to provide a bionic source hybridization method for the integration of the biological high-efficiency bearing property, so as to make up the defect that the bearing mechanical property of the biological topological configuration of the single bionic source may be insufficient and realize the fusion of the high-efficiency bearing property of the plurality of simulated sources.
The technical scheme is as follows: a biomimetic source hybridization method for biological high-efficiency bearing performance integration comprises the following steps:
(1) Constructing a bionic source biological efficient bearing coupling element model based on the description of the element matrix;
(2) Constructing a mathematical model of the bionic source biological efficient bearing advantage performance integration problem according to the bionic source biological efficient bearing advantage performance integration problem definition description;
(3) Solving the problem of integration of the bionic source biological efficient bearing dominant performance based on the expansibility of the physical element to obtain a solution of the problem of integration of the bionic source biological efficient bearing dominant performance;
(4) Evaluating the weight influence of each coupling element and coupling element characteristics aiming at the bionic source biological high-efficiency bearing advantage performance, extracting the coupling elements and coupling element characteristics which play a decisive role in the bionic source biological high-efficiency bearing advantage performance, and defining the coupling elements and the coupling element characteristics as gene coupling elements and gene coupling element characteristics;
(5) And performing biological coupling element hybridization integration based on the extensible transformation of the genetic coupling elements to obtain a hybridization simulation source coupling element integrated with the efficient bearing advantage performance of the bionic source organism, namely a hybridization bionic source space topology configuration.
Specifically, the step (5) specifically includes the following:
(5.1) determining a solving formula of the hybrid bionic source space topology configuration based on the extension of the physical elements;
(5.2) constructing four basic extension transformations of gene coupling elements based on the extension of the physical elements to obtain all the basic coupling element transformations of the bionic source biological high-efficiency bearing advantage performance integration problem;
(5.3) carrying out feasibility screening on all the coupling element basic transformations, and further determining necessary coupling element basic transformations;
(5.4) combining the necessary coupling element basic transformation to perform combination transformation to obtain basic de-transformation of the bionic source biological efficient bearing advantage performance integration problem;
(5.5) compounding the basic de-transformation with other coupling element basic transformations, constructing other de-transformations, and obtaining all de-transformation sets; the other primitive transforms are other primitive transforms than the necessary primitive transforms described in step (5.3) in all primitive transforms described in step (5.2).
And (5.6) selecting an evaluation element to evaluate the hybridization coupling element decoupling transformation set, and determining the optimal decoupling transformation to obtain the hybridization simulation source coupling element which is oriented to the dominant performance integration, namely the hybridization simulation source space topology configuration.
Further, the mathematical model of the efficient load-bearing dominant performance integration problem is:
wherein Q represents an efficient load-bearing dominant performance integration problem;M a ，M b the description of the physical elements of the bionic sources a and b respectively; n (N) a ，N b A bionic source name for the same; c a ，c b The space topological configuration of the bionic sources a and b; v a ，v b Different high-efficiency bearing performances of the space topological configurations of the bionic sources a and b; m is M x Description of the elements of the simulated sources formed for hybridization, M x ＝(N x ,c x ,v x )，N x C is the name of hybrid bionic source x Is the space topological configuration of hybrid bionic source, v x For high-efficiency bearing performance integration with the space topological configuration of the simulated sources a and b, namely v x ＝v a ∩v b The method comprises the steps of carrying out a first treatment on the surface of the r is a conditional element, which is the high-efficiency bearing space topological configuration of the known bionic sources a and b, namely +.>
Further, in step (5.6), the hybrid simulated biogenic spatial topology is:
in the method, in the process of the invention,t, a known conditional element for the formation of a known imitative source high-efficiency carrier gene coupler rc The forward extension transformation for the coupling element.
The forward extension transformation T rc Four basic extension transformations of the coupling element in step (5.2)Compounding to obtain the following components:
where k= { a, d, c or s },adding/deleting transforms for coupling elements, +.>Substitution for coupling element, < >>For the coupling element decomposition/combination transformation, +.>Enlarging/reducing the transform for the coupler.
Compared with the prior art, the invention has the following remarkable effects: the invention obtains hybrid simulated sources integrated with different biological high-efficiency bearing performances by cross-species hybridization of high-specific-stiffness bio-coupling elements based on the expansibility of the physical elements. The method effectively solves the possible defects of the existing structure bionic design process that the single bionic source biological topological configuration is adopted to bear mechanical properties, and the problem that the efficient bearing properties of a plurality of simulated sources are difficult to fuse.
Drawings
FIG. 1 is a high efficiency load bearing topology of a honeycomb structure;
FIG. 2 is a high efficiency load bearing topology of a human spinal bone;
FIG. 3 is a solution process for coupled element hybridization solution;
FIG. 4 is a three-dimensional finite element model of a honeycomb structure, which is a coupling element to be improved;
FIG. 5 is a three-dimensional finite element model of hybrid coupler solution (1).
Detailed Description
The technical scheme of the invention is further described below with reference to the accompanying drawings and examples.
Generally speaking, the mechanical property of the biological high-efficiency topological structure of one simulated source is insufficient, and the defect of the original biological high-efficiency bearing mechanical property of the simulated source can be overcome by using the biological bearing topological structure of another simulated source, so that two bionic sources are used for hybridization in the hybridization method example. If the mechanical properties of the obtained hybrid bionic source still have insufficient, the novel hybrid bionic source can be further obtained by hybridization through the biobearing topological configuration of other novel bionic sources on the basis.
Because the honeycomb structure has a light and efficient topological structure with high specific stiffness, the honeycomb structure is often used as an imitation source in the bionic design of a mechanical structure, but the bearing performance of the honeycomb structure on the coplanar direction is better, and the mechanical bearing performance of the honeycomb structure on the non-coplanar direction is much worse, as shown in fig. 1. Therefore, the mechanical load-bearing performance may be insufficient by using only the honeycomb structure as an imitation source.
Fig. 2 is a high-efficiency load-bearing topology of a human vertebra having a hierarchical structure that provides good high specific stiffness load-bearing properties in the height direction. According to the method, the defect of the high-efficiency bearing mechanical property of the honeycomb structure is overcome by means of the high-efficiency bearing mechanical property of the human vertebra, and the novel hybrid simulated source high-efficiency bearing topological structure is obtained.
Step 1, constructing a bionic source biological high-efficiency bearing coupling element based on the description of the element matrix.
According to the principle of coupling bionics, the biological high-efficiency bearing coupling element is a basic element for forming a biological high-efficiency bearing topological configuration and is denoted by a symbol Co. The coupling element expression of the high-efficiency bearing topological configuration can be defined by an element matrix:
wherein: co is the name of the topological coupler Co; o (o) k ，d k The kth feature and the feature description of the topological coupler Co; m is the total number of features contained in Co.
The conjugate analysis of the honeycomb high-efficiency bearing structure shows that the honeycomb hexagonal cylinder structure has the maximum strength/mass ratio, the whole structure has good stability, is not easy to deform and has outstanding compression resistance, thus the honeycomb high-efficiency bearing structure x can be obtained e Is only one, namely the honeycomb hexagonal cylinder coupling element Co 1 (x e )。
Defining Co based on primitive matrix 1 (x e ) The method comprises the following steps:
in this formula, the coupling element features: shape. The wall thickness can be respectively o e1 ......o e5 To represent.
Similarly, the rib high-efficiency bearing topological configuration x defined by the object element matrix is obtained r Is Co of the coupling element of (2) 1 (x r )：
In the formula, the coupling element characteristics are as follows: shape. Distribution can be respectively o r1 ......o r4 To represent.
And 2, constructing a mathematical model of the dominant performance integration problem according to the definition description of the efficient bearing dominant performance integration problem.
The advantageous performance integration problem can be described as: to realize the integration of high specific stiffness bearing performance by crossing species by high specific stiffness coupling element topological configuration of different organisms, the defect of the mechanical bearing performance of a single bionic topological configuration is overcome.
According to the description of the problems, based on the definition of the object element problem, an object element mathematical model of the high specific stiffness topological configuration dominant performance integration problem is established:
assuming that the high-efficiency bearing space topological configuration of a certain imitative source a has the high-efficiency bearing performance; the other efficient load-bearing spatial topology of the simulated source b has a different efficient load-bearing performance than a. Based on the primitive matrix representation, the above description is defined as:
wherein: m is M a ，M b The description of the physical elements of the bionic sources a and b respectively; n (N) a ，N b Is the name of the bionic source; c a ，c b A spatial bearing topology for the same; v a ，v b The bearing performance is high in efficiency for different space topological configurations.
Performance integration objective matter element: by object element M x Defining a problem solving target:
M x ＝(N x ,c x ,v x ) (5)
wherein: m is M x The method is characterized by comprising the steps of (a) performing the physical description of a bionic source obtained by hybridization of the bionic sources a and b; n (N) x The hybrid biomimetic source name may be considered to be known; c x The hybrid bionic source space topology is unknown to be solved; v x For integration of efficient load-bearing properties with both simulated source a and b spatial topologies, it is known, i.e
v x ＝v a ∩v b (6)
Performance integration condition matter element: the known conditional physical element r is the high-efficiency bearing space topological configuration of the bionic sources a and b, namely M a And M is as follows b The method can obtain:
mathematical model of dominant performance integration problem: the problem of the integration of the bearing performance with high specific stiffness is marked as Q, and based on the conditional element definition of the formula (7) and the object element definition of the formulas (5) and (6), the mathematical model of the element of the integration problem can be obtained by the comprehensive formula (4) as follows:
the compatibility function of the bearing performance integration problem Q of the high-specific stiffness structure is recorded as K r (M x ) It means that under known conditions of the element r, the source M is imitated by hybridization x Is realized by the method.
And 3, solving the integration problem based on the extension of the physical elements to obtain a solution scheme of the dominant performance integration problem.
Analysis shows that the load-bearing performance integration problem Q is an incompatibility problem, namely the compatibility function K r (M x ) Less than zero.
To solve this incompatibility problem, the hybridization of the simulated source topology M is enhanced under the known conditions r x Is realized by the method.
The object expansibility describes various possibilities of object change, so the incompatibility problem is solved based on the object expansibility, and the object M is simulated by hybridization of a source topology structure x And performing extensible transformation on the known condition object element r to solve the compatibility K of Q r (M x ) The problem is as shown in formula (9):
wherein T is x Extension transformation T for crossing imitative source topology structural material element r The transformation can be extended for the object elements with known conditions.
The analysis can be obtained:
[1]of the three formulae of formula (9), formulaObject element M in solving problem x And a bi-directional extension transformation of the conditional element r; k (K) r (T x M x ) For object element M x Unidirectional extension transformation to a conditional element r;For conditional element R to target element R x Is a one-way extension transformation of (a).
[2]The first two kinds of extension transformation comprise target object element M x The third extensible transformation is a forward extensible transformation from the known condition to the solving target, and the third extensible transformation is a reverse transformation to the condition element r.
Based on the formula (5) in the step 2 and analysis thereof, the target object element M x The hybrid simulated source space topology configuration c which is unknown to be solved is included x Thus selecting a third forward extension transformation, namelyThe solution scheme is more convenient.
And 4, evaluating the weight influence of each coupling element and the coupling element characteristic aiming at the high specific stiffness dominant performance of the bionic source organism, extracting the coupling element and the coupling element characteristic with the greatest decisive effect on the high specific stiffness dominant performance, namely the weight influence, and defining the coupling element and the coupling element characteristic as the gene coupling element and the gene coupling element characteristic.
The embodiment adopts a fuzzy analytic hierarchy process to evaluate the weight influence of each coupling element, and the specific process is as follows:
comparing the kth expert to Co i 、Co j (Co i 、Co j The fuzzy judgment matrix representing the ith and jth coupling elements) on the biological high-efficiency bearing performance is defined as follows:wherein->Expert vs Co respectively i Relative to Co j Most conservative, most probable and most optimistic evaluation values of (a), and +.>To improve the extraction reliability, the fuzzy judgment matrix obtained by integrating n expert evaluations is +.>Wherein->
Based on fuzzy analytic hierarchy process, the i-th coupling element can be used for carrying out initial comprehensive fuzzy evaluation matrix on biological high-efficiency bearing performanceIs that
Wherein m is the total number of coupling elements;respectively is a coupling element comprehensive fuzzy evaluation matrix +.>The corresponding most conservative, most likely, and most optimistic values.
Triangular mold removingThe gelatinization processing function is evaluated to deblur, and finally, the influence evaluation value of the ith coupling element on the dynamic performance of the high specific stiffness can be obtainedThe method comprises the following steps:
where Λ is a triangle defuzzification processing function.
And extracting the coupling elements which have decisive influence on the high specific stiffness bearing performance as the gene coupling elements based on the obtained influence evaluation value of the coupling elements on the overall high specific stiffness bearing performance. Similarly, the influence weight of the coupling element characteristics on the high specific stiffness bearing performance can be realized by repeating the process on the coupling element characteristics in the gene coupling element. And extracting coupling element characteristics which have decisive influence on the high specific stiffness bearing performance in the gene coupling element as gene coupling element characteristics.
Because the honeycomb and rib high-efficiency bearing topological structures only contain one coupling element, the coupling element is the corresponding gene coupling element. Therefore, the weight influence of each coupling element characteristic on the whole high-efficiency bearing performance is determined only according to the steps, so that the gene coupling element characteristic is determined.
Taking the triangular fuzzy numbers M1-M9 as 1-9, and [1,3,5,7,9 ]]Respectively represent the scale [ general, medium, strong, stronger, extremely strong ]]While the remaining intermediate numbers represent intermediate scales. For the convenience of calculation, the most probable evaluation valueAfter determining, letSelecting expert number as 3, and letting it give Co according to the fuzzy number scale 1 (x e ) Weight influence value of each characteristic element +.>And further according to->Calculation method->Finally obtained fuzzy judgment matrix integrating three expert evaluations>As shown in formula (12).
Substituting the formula (12) into the formula (10) to obtain an initial comprehensive fuzzy evaluation matrix of influence of each coupling element characteristic on biological high-efficiency bearing performanceAs shown in formula (13):
substituting formula (13) into formula (11) to obtain relative importance evaluation [1,0 ] of coupling element characteristics]O can be obtained e1 For coupling element Co 1 (x e ) Is a genetic element characteristic of the gene.
Similarly, co is treated according to the steps 1 (x r ) The influence weight of each coupling element characteristic on the high specific stiffness bearing performance is analyzed by fuzzy chromatography, and the gene coupling element characteristic o is obtained r1 。
Step 5, performing bio-element coupling hybridization integration based on the matter element extension transformation of the gene coupling element to obtain a hybrid simulated source coupling element integrated with the biological efficient bearing advantage performance, namely a hybrid simulated source space topology configuration, which specifically comprises the following steps:
and 5.1, determining the solving type of the hybrid bionic source space topology configuration based on the extension of the physical elements.
From step 3, it can be seen that the transformation is based on forward extensionTo obtain the object element M x I.e.
M x ＝T r r (14)
Based on the matter theory, T r Can be written as T r ＝(T rN ,T rc ,T rv )，T rN 、T rc 、T rv Is T r Is a component of (a).
The general formulas (4) (5) (6) (7) (14) can be obtained:
from step 2, it is known that the hybrid biomimetic source spatial topology c x Unknown v x 、N x The first and third equations in equation (15) are known. Thus, the destination primitive (14) to be solved based on the forward extension transform can be written as:
assume a high-efficiency bearing space topology configuration c a 、c b The gene coupler of (2) is ce aG 、ce bG According to the definition of the gene coupling element, the ce aG 、ce bG Respectively corresponding to the space topology configuration c of the high-efficiency bearing a 、c b In the decisive part, in ce aG 、ce bG Replacement c a 、c b Formula (16) may be further written as:
will ce aG 、ce bG As a matter of the matter,multidimensional matter elements which can be written as a combination thereof express +.>Thus, formula (17) can be written as:
the upper part is the hybrid bionic source space topology configuration c x Is a solution of (2). From the above, it can be seen that the hybridization imitates the source space topology c x Can be coupled by means of known conditionsT through forward extension transformation rc Obtained.
Based on the extension of the object element, the coupling element forward extension transformation T rc By basic transformationObtained by compounding, i.e
Where k= { a, d, c or s },adding/deleting transforms for coupling elements, +.>Substitution for coupling element, < >>For the coupling element decomposition/combination transformation, +.>Enlarging/reducing the transform for the coupler.
Because the honeycomb and rib high-efficiency bearing topological configuration only contains one coupling element Co 1 (x e ) And Co 1 (x r ) The coupler is the corresponding gene coupler. Thus will Co 1 (x e ) And Co 1 (x r ) Substituting the gene coupling element into the formula (18) to obtainWhich means that the element is coupled by known conditions +.>Forward extension transformation T rc The hybrid bionic source topology c of the hybrid bionic source can be obtained x 。
And 5.2, constructing four basic extension transformations of the gene coupling element based on the extension of the object element, and obtaining the coupling element basic transformation of the dominant performance integration problem.
Coupling element addition transformationExpressed by formula (20):
based on the expandability of the object element, the coupled element Co q (Co q ＝[co o q d q ]) And performing extension transformation. Extension transformation is followed by coupling element Co q Add feature o q0 Characteristic quantity d corresponding to the characteristic quantity q0 . The coupling elements before and after transformation in the formula (20) have the additive relation of the physical elements; and the inverse transformation in equation (20)Is an extensible pruning transformation of the coupling elements.
Coupling element substitution transformationRepresented by formula (21):
in [ co o ] h d h ]＝Co h Representing the transformed coupler. Based on the object divergence, the pair coupler Co q Divergent extension transformation is carried out, and coupler Co q Can be expansively replaced by Co h . Before and after substitution, the characteristics of the coupling element are represented by o q Become o h The corresponding feature quantity is also represented by d q Becomes d h 。Co q With Co h There is a divergent extension relationship between them, and coupling element Co h Reverse extension substitution to coupler Co q Is to transform intoIs an inverse transform of (a). It should be noted that the permutation transformation cannot be arbitrarily transformed, but rather follows the principle of primitive extension of the coupling element.
Coupling element decomposition transformationExpressed by formula (22):
in the method, in the process of the invention,
based on the object element separability, the coupled element Co q Performing extension decomposition transformation. Coupling element feature o through extension decomposition transformation q Decomposing to obtain o' q And o' q And the corresponding coupling element feature quantity is d' q And d q . The coupling elements before and after transformation in the formula (22) have the object element separability relation; and the inverse transformation in formula (22)Is an extensible combined transformation of the coupling elements.
Coupling element expansion transformationExpressed by formula (23):
in the coupling element feature o qs Is characterized by o q And feature o s Corresponding to the product of the coupled element feature quantity d qs Is d q And d s Is a product of (a) and (b). Based on the integrality of the object, the object Co is coupled with q And performing extension transformation. After extension transformation, the element characteristic o is coupled q Expanded to o qs The corresponding coupling element feature quantity is represented by d q Becomes d qs . The relation of the integrality of the object element exists between the coupling elements before and after the expansion transformation can be expanded. In particular, when o s E, o qs ＝o q e＝o q At this time, (23) coupling element expansion transformationOnly the extensive transformations of feature magnitudes. Likewise, the inverse transformation in formula (23), i.e. +.>Is an extension-reduction transformation of the coupling element.
According to the definition of the basic transformation of the four coupling elements, the basic transformation of the gene coupling elements in the example is carried out, the basic transformation of the obtained gene coupling elements is shown in table 1, and the specific operation and schematic diagram of the transformation are given in table 1.
Table 1 four basic transformations of Gene coupler and its feasibility
And 5.3, performing feasibility screening on the coupling element basic transformation, and further determining the necessary coupling element basic transformation.
The basic transformations in table 1 were subjected to feasibility analysis, which is represented by the symbol ∈v in table 1, and x represents infeasibility. In table 1, the addition of new coupling features in the incremental transformation may be attempted, and there is no feasibility because there are no new features to refer to. However, the decomposition transformation can be developed, and the attempt to decompose each coupling element feature fails, so that the decomposition transformation is not feasible.
The basic transformations of the coupling elements in Table 1 are analyzed to determine the necessary basic transformations:
analysis shows thatThe transformation realizes the removal of other non-genetic coupling element characteristics;Transform pair feature o e1 Extension and contraction can be performed in the height direction so as to realize the matching of the coupling element height direction during combination transformation;The array formed by transformation can form coupling element Co together with the hierarchical structure 1 (x e ) Protecting the wall by Co 1 (x r ) Hierarchical load bearing performance advantage compensates for Co 1 (x e ) Non-coplanar mechanical property defects;Transformed to achieve spatial combination of coupling features. Thereby determining the above basic transformation as the necessary basic transformation.
And 5.4, compounding the necessary coupling element basic transformation to perform combination transformation, thereby obtaining basic transformation of the dominant performance integration problem.
Substituting the requisite coupling element basic transformation into (19) to form basic solution transformation T of dominant performance integration problem 0 ：The basic transformation process is shown in fig. 3, and the hybrid coupler solution obtained by the basic de-transformation is shown as the number (1) in fig. 3.
And 5.5, compounding the basic de-transformation with other coupling element basic transformations, and constructing other de-transformations to obtain all de-transformation sets.
Taking into account the transformations in Table 1And->The effect generated when two coupling elements are simultaneously expanded or contracted is offset, so +.>For coupler Co only 1 (x r ) The expansion and contraction conversion was performed, and from Table 1, it can be seen that +.>To enlarge the transformation +.>To reduce the transform.
Thus, the method can be further used for other basic transformations based on the basic de-transformationCombining to construct other deconfigurations:The transformation process of these deconversion is shown in fig. 3.
All the final hybrid couplers obtained by the deconversion are numbered (1) -in. It should be noted that, inThe transformation can be performed in a hierarchical direction, an array direction and an array layerThe stage directions are reduced simultaneously, so->And->The transformation yields three hybrid couplers (2) (3) (4) and (6) (7) (8), respectively.
In addition, it should be noted that due toThe transformation is that a plurality of honeycomb structures are arranged in the hierarchical structure, which are similar to the original coupling elements to be improved and the original honeycomb structure coupling elements, and the protection wall for improving the non-coplanar mechanical property of the coupling elements cannot be formed, so the transformation ∈>And->The hybrid coupler decouples (9) the mode.
And 5.6, selecting an evaluation element to evaluate the hybridization coupling element de-transformation set, and determining the optimal de-transformation to be the hybridization simulation source coupling element which faces to the dominant performance integration, namely the hybridization simulation source space topology configuration.
Constructing a three-dimensional finite element model of the original coupling element to be improved, namely decoupling of honeycomb structure coupling elements and all hybrid coupling elements: during modeling, the side length of the hexagonal structure contained in all hybrid coupling elements is the same as that of the hexagonal structure of the coupling element to be improved, and the structural wall thickness is the same; the same boundary constraints apply: bottom surface fixing constraint, top surface applying equal magnitude pressure load F y =200n (boundary constraint see fig. 4); all finite element model grids have the size of 5mm, hexahedral grids are adopted as the grid shapes, and the quality of the grids is controlled to be more than 0.97; all the hybridization coupling element models are made of the same material: carbon steel, material density 7800kg/m 3 The elastic modulus is 210GPa, and the Poisson's ratio is 0.26.
Calculating to obtain the mass m of the coupler to be improved 0 ＝1.702kgFirst order frequency f 0 = 210.13Hz, maximum load deformation
Selecting mass m, first-order frequency f and maximum deformation U of hybrid coupler Fy To evaluate the elements, the merits of the respective hybridization element deconversion sets (1) to (8) were compared, as shown in Table 2.
TABLE 2 comparison of the goodness of the respective deconverted hybrid couplers
Δf/Δm= (f-f) in table 2 0 )/(m-m 0 )、Which represent the ratio of deformation to the increase in frequency to the increase in mass, respectively. As can be seen from Table 2, Δf/Δm are positive values, ΔU Fy The values of Δm are negative, which means that the initial deformation of the hybrid coupler is reduced and the natural frequency is increased compared to the deformation of the coupler to be improved. In all the deconversion, the absolute value of the ratio of the maximum deformation reduction/frequency increase to the mass increase of the hybrid coupler element deconvolution (1) is the maximum, which means that the coupling element hybridization integration efficiency is the highest, and the hybrid coupler element deconvolution (3) is the next. Therefore, solution (1) is selected as the optimal hybrid coupler solution.
The hybrid coupling element solution (1) is the hybrid simulated source high specific stiffness topological configuration c to solve the integration problem x 。
Biomimetic source hybridization result analysis for biological high-efficiency bearing performance integration:
comparing the performance of the optimal hybrid coupler (1) with that of the original coupler to be improved, namely the honeycomb structure coupler, applying the same fixed constraint on the bottom surfaces of the hybrid coupler (1) and the original coupler to be improved (as shown in figures 4 and 5), and respectively applying the same load M to the hybrid coupler and the original coupler to be improved x 、M y 、M z 、F y Respectively obtain the maximum deformation of U Mx 、U My 、U Mz 、U Fy (M x 、M y 、M z The torque about the x, y, z axes of the coordinate system shown in fig. 4, 5, respectively; f (F) y The y-axis load force, M, along the coordinate system is shown in FIGS. 4 and 5 x ＝M y ＝M z ＝50Nm，F y =200n); the coupling element has two end faces parallel to the x-y coordinate plane, one of the end faces is fixed and restrained, and the other end face is applied with the same load F z (along the z-axis of the coordinate system shown in FIGS. 4 and 5, F) z =200n), the maximum deformation obtained is U Fz . The final calculation results are shown in Table 3.
TABLE 3 comparison of the Performance of the best hybrid coupler solution (1) with the original coupler to be improved, i.e., the honeycomb coupler
U Mx (um) U My (um) U Mz (um) U Fy (um) U Fz (um) f(Hz)
Coupling element to be improved 124.42 14.46 148.31 25.27 0.0090 210.13
Optimal hybrid coupler (1) 22.60 9.82 4.80 1.79 0.0046 564.67
As can be seen from Table 3, the hybrid coupler maintains excellent coplanarity bearing performance of the original coupler, and the coplanarity deformation U of the hybrid coupler and the original coupler Fz 0.0046um and 0.0090um, respectively. And the hybridization coupler successfully realizes the coupling element Co 1 (x r ) Excellent-level bearing performance hybridization is introduced into original honeycomb structure coupling element, and the non-coplanar bearing deformation U of the hybridized coupling element and the original coupling element Fy The non-coplanar bearing deformation is reduced by 10 times by 1.792um and 25.27um respectively, and other bearing deformation is also obviously reduced, especially U Mx And U Mz The original 124.42um and 148.31um are greatly reduced to 22.60um and 4.80um respectively. Therefore, the hybrid bionic source topological structure effectively realizes that the defects of the high-efficiency bearing mechanical property of the honeycomb structure are overcome by means of the high-efficiency bearing mechanical property of the human vertebra, and the defects of the original honeycomb structure in the mechanical bearing property are greatly improved.

Claims (3)

1. A biomimetic source hybridization method, which is characterized by comprising the following steps:
(1) Constructing a bionic source biological efficient bearing coupling element model based on the description of the element matrix;
(2) Constructing a mathematical model of the bionic source biological efficient bearing advantage performance integration problem according to the bionic source biological efficient bearing advantage performance integration problem definition description;
(3) Solving the problem of integration of the bionic source biological efficient bearing dominant performance based on the expansibility of the physical element to obtain a solution of the problem of integration of the bionic source biological efficient bearing dominant performance;
(4) Evaluating the weight influence of each coupling element and coupling element characteristics aiming at the bionic source biological high-efficiency bearing advantage performance, extracting the coupling elements and coupling element characteristics which play a decisive role in the bionic source biological high-efficiency bearing advantage performance, and defining the coupling elements and the coupling element characteristics as gene coupling elements and gene coupling element characteristics;
(5) Performing biological coupling element hybridization integration based on the extensible transformation of the genetic coupling element to obtain a hybridization simulation source coupling element integrated with the efficient bearing advantage performance of the bionic source organism, namely a hybridization bionic source space topology configuration;
the step (5) specifically comprises the following contents:
(5.1) determining a solving formula of the hybrid bionic source space topology configuration based on the extension of the physical elements;
(5.2) constructing four basic extension transformations of gene coupling elements based on the extension of the physical elements to obtain all the basic coupling element transformations of the bionic source biological high-efficiency bearing advantage performance integration problem;
(5.3) carrying out feasibility screening on all the coupling element basic transformations, and further determining necessary coupling element basic transformations;
(5.4) combining the necessary coupling element basic transformation to perform combination transformation to obtain basic de-transformation of the bionic source biological efficient bearing advantage performance integration problem;
(5.5) compounding the basic de-transformation with other coupling element basic transformations, constructing other de-transformations, and obtaining all de-transformation sets; the other coupling element basic transformation is the coupling element basic transformation except the necessary coupling element basic transformation in the step (5.3) in the whole coupling element basic transformation in the step (5.2);
(5.6) selecting an evaluation element to evaluate the hybrid coupling element decoupling transformation set, and determining the optimal decoupling transformation to obtain a hybrid simulated source coupling element which is oriented to dominant performance integration, namely a hybrid simulated source space topology configuration;
the mathematical model of the efficient bearing advantage performance integration problem is as follows:
wherein Q represents an efficient load-bearing dominant performance integration problem; m b ＝(N b ,c b ,v b )，M a ，M b The description of the physical elements of the bionic sources a and b respectively; n (N) a ，N b A bionic source name for the same; c a ，c b The space topological configuration of the bionic sources a and b; v a ，v b Different high-efficiency bearing performances of the space topological configurations of the bionic sources a and b; m is M x Description of the elements of the simulated sources formed for hybridization, M x ＝(N x ,c x ,v x )，N x C is the name of hybrid bionic source x Is the space topological configuration of hybrid bionic source, v x For high-efficiency bearing performance integration with the space topological configuration of the simulated sources a and b, namely v x ＝v a I v b The method comprises the steps of carrying out a first treatment on the surface of the r is a conditional element, is the high-efficiency bearing space topological configuration of the known bionic sources a and b, namely
2. The biomimetic source hybridization method according to claim 1, wherein in step (5.6), the hybridization simulated source spatial topology is:
in the method, in the process of the invention,t, a known conditional element for the formation of a known imitative source high-efficiency carrier gene coupler rc The forward extension transformation for the coupling element.
3. According to claimThe biomimetic source hybridization method of claim 2, wherein: the forward extension transformation T rc From the four basic extension transformations described in step (5.2)Compounding to obtain the following components:
where k= { a, d, c or s },adding/deleting transforms for coupling elements, +.>Substitution for coupling element, < >>For the coupling element decomposition/combination transformation, +.>Enlarging/reducing the transform for the coupler.
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