CN115782456A - Light high-strength lunar vehicle bionic wheel - Google Patents
Light high-strength lunar vehicle bionic wheel Download PDFInfo
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- CN115782456A CN115782456A CN202211660147.4A CN202211660147A CN115782456A CN 115782456 A CN115782456 A CN 115782456A CN 202211660147 A CN202211660147 A CN 202211660147A CN 115782456 A CN115782456 A CN 115782456A
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Abstract
A light high-strength lunar rover bionic wheel belongs to the technical field of spaceflight and comprises a bionic wheel surface, a spoke and a hub; the bionic wheel surface and the six spokes are of an integral structure, the cross section curve of a wheel surface monomer is a first bionic curve, the wheel surface structure can play a role in improving the bearing performance, a plurality of transverse strip-shaped wheel spines are uniformly distributed on the bionic wheel surface, the outer curve of the wheel spines is the first bionic curve, and the structure can increase the traction force of the wheel and improve the climbing performance and the driving performance of the wheel; the wheel hub and the wheel face are connected through a plurality of spokes, one end of each spoke is fixedly connected in the spoke mounting holes on the two sides of the wheel hub through a mechanical connection structure, the other end of each spoke and the wheel face are of an integral structure and are provided with a certain bending angle, the bearing performance of the wheel can be further improved, and the spoke is internally provided with a plurality of square through holes, so that the vibration damping performance can be improved, and the light weight effect is achieved; a plurality of square through holes are formed in the surface of the hub at the same time, and the effect of light weight is achieved.
Description
Technical Field
The invention belongs to the technical field of lunar vehicle wheel structure design, and particularly relates to a light high-strength lunar vehicle bionic wheel.
Background
The lunar vehicle is a special vehicle which can run on the surface of the moon and complete complex tasks such as lunar exploration, investigation, collection and analysis of samples, and the manned lunar vehicle is used as a main tool and a medium for astronauts to log in the moon and effectively complete exploration tasks, and researches on related structures of the manned lunar vehicle are imperative. The wheel is one of the most critical parts of the manned detection wheel type moving system, and the structural design and the material selection of the wheel need to adapt to the complex terrain on the surface of the moon and the larger day and night temperature difference. The conventional lunar vehicle wheel generally has the defects of small bearing capacity, insufficient traction force and poor climbing capability. Aiming at the problems in the prior art, the invention provides a high-performance light-weight wheel, which improves the bearing capacity and traction performance of a lunar vehicle and saves the emission quality and resources.
Beetles are the general term for coleopteran insects, and the hardened coleopteran structure of the beetles has very strong bending resistance and pressure resistance. Through observation of the microstructure of most of the coleoptera, people find that the structure is high in strength and elastic, and meanwhile, the connection structure of the internal suture line of the coleoptera also provides a new thought for the research of the aspects of rigidity and toughness. The exoskeleton curve of the Coleoptera ferruginea Coleoptera wing structure is optimized and applied to the wheel surface and the wheel spine structure of the wheel, and the mechanical connection structure inside the Coleoptera ferruginea wing structure is applied to the connection part of the spoke and the hub, so that the compression resistance of the wheel is improved, the elastic performance of the wheel is improved, the wheel is favorable for better adapting to the complex geographical environment of the lunar surface, and a plurality of square holes are respectively formed in the spoke and the hub on the basis of the compression resistance, so that the light design is carried out, and the resistance is reduced.
Disclosure of Invention
The invention aims to improve the bearing performance of a lunar rover, improve the traction force and climbing capability of a lunar rover on a soft lunar surface and solve the problems of skidding and sinking of the lunar rover.
A light high-strength lunar vehicle bionic wheel comprises a bionic wheel surface, a spoke and a hub;
the bionic wheel surface and six spokes form an integral structure, the cross section curve of a bionic wheel surface monomer is a first bionic curve obtained by optimizing the exoskeleton contour line of the armored beetle, the bionic wheel surface structure can play a role of improving the bearing performance, a plurality of transverse strip-shaped wheel spines are uniformly distributed on the bionic wheel surface, the external curve of the transverse strip-shaped wheel spines also imitates the exoskeleton contour curve of the armored beetle, the curve is a second bionic curve, in order to form a relatively continuous shearing soil ring, the height of each transverse strip-shaped wheel spine is set to be 10mm, the thickness of each transverse strip-shaped wheel spine is set to be 5mm, the clearance angle of each transverse strip-shaped wheel spine is 18 degrees, the number of the transverse strip-shaped wheel spines is 20, and the structure can increase the traction force of the wheel and improve the climbing and running performance of the wheel; the wheel hub and the bionic wheel face are connected through a plurality of spokes, one end of each spoke is fixedly connected in spoke mounting holes on two sides of the wheel hub through a mechanical connecting structure of an imitated iron beetle coleoptera structure, the cross section curve of the mechanical connecting structure is a third bionic curve, the other end of each spoke and the bionic wheel face are of an integral structure and are provided with bending angles of 20 degrees, the bearing performance of the wheel can be further improved, a plurality of first-class square through holes are formed in the spokes, the sizes of the two groups of first-class square through holes are expanded by 3 times along the direction from the wheel hub to the bionic wheel face, and the structure can improve the slow vibration performance and achieve the effect of light weight; a plurality of second type square through holes are formed in the surface of the hub at the same time, and the effect of light weight is achieved.
The mathematical expression of the first bionic curve is as follows:
connecting the inside and outside contour curve expressions of the left half face:
y = -25, wherein 7.5 ≦ x ≦ 9.5;
left half inner contour curve expression:
x 2 +y 2 -264.856x-39.09y +823.620=0, where 3. Ltoreq. X.ltoreq.9.5, -25. Ltoreq. Y.ltoreq.1;
x 2 +y 2 81.492x +6.77y +227.695=0, wherein x is more than or equal to 3 and less than or equal to 6, and y is more than or equal to 1 and less than or equal to 12;
x 2 +y 2 -144.25x +65.164y-96.460=0, wherein 6 ≦ x ≦ 35 and 12 ≦ y ≦ 38;
x 2 +y 2 170.342x +300.87y-8140.212=0, wherein x is more than or equal to 35 and less than or equal to 100, and y is more than or equal to 38 and less than or equal to 44.565;
right half inner contour curve expression:
x 2 +y 2 -256.72x-49.766y-0.109=0, where 0 ≦ x ≦ 7.5, -25 ≦ y ≦ 0;
x 2 +y 2 79.604x +7.956y +0.024=0, wherein x is more than or equal to 0 and less than or equal to 2.712, y is more than or equal to 0 and less than or equal to 11;
x 2 +y 2 144.25x +65.164y-437.621=0, wherein x is more than or equal to 2.712 and less than or equal to 28, and y is more than or equal to 11 and less than or equal to 36.5;
x 2 +y 2 129.942x +60.946y-702.415=0, wherein x is more than or equal to 28 and less than or equal to 67, and y is more than or equal to 36.5 and less than or equal to 46.027;
x 2 +y 2 138x-115.664y +7961.540=0, wherein 67 ≦ x ≦ 71, 45.832 ≦ y ≦ 46;
x 2 +y 2 171x +39.848y +3150.966=0, wherein 71 is less than or equal to x less than or equal to 100, 46 is less than or equal to y less than or equal to 47.576;
and (3) connecting the expressions of the inner and outer contour curves of the right half:
y = -25, wherein 190.5 is less than or equal to x is less than or equal to 192.5;
right half inner contour curve expression:
x 2 +y 2 135.144x-39.09y-12147.580=0, where 190.5. Ltoreq. X.ltoreq.197, -25. Ltoreq. Y.ltoreq.1;
x 2 +y 2 318.508x +6.77y +23929.295=0, wherein 194 is more than or equal to x is less than or equal to 197,1 is more than or equal to y is less than or equal to 12;
x 2 +y 2 255.75x +65.164y +11053.540=0, wherein x is more than or equal to 165 and less than or equal to 194, and y is more than or equal to 12 and less than or equal to 38;
x 2 +y 2 229.658x +300.87y-2208.612=0, wherein x is more than or equal to 100 and less than or equal to 165, and y is more than or equal to 38 and less than or equal to 44.565;
the expression of the right half outer contour curve:
x 2 +y 2 -143.28x-49.766y-11344.109=0, where 192.5. Ltoreq. X.ltoreq.200, -25. Ltoreq. Y.ltoreq.0;
x 2 +y 2 320.396x +7.956y +24079.224=0, wherein x is more than or equal to 197.288 and less than or equal to 200, and x is more than or equal to 0 and less than or equal to 0y≤11；
x 2 +y 2 -255.75x+65.164y+10712.379＝0，172≤x≤197.288，11≤y≤36.5；
x 2 +y 2 270.058x +60.946y +13309.185=0, wherein x is more than or equal to 133 and less than or equal to 172, and y is more than or equal to 36.5 and less than or equal to 46.027;
x 2 +y 2 -262x-115.664y +20361.540=0, wherein 129 ≦ x ≦ 133, 45.832 ≦ y ≦ 46;
x 2 +y 2 -229x +39.848y +8950.966=0, wherein x is more than or equal to 100 and less than or equal to 129, and y is more than or equal to 46 and less than or equal to 47.576;
the mathematical expression of the second bionic curve is as follows:
the expression of the left half wheel thorn outline curve:
x 2 +y 2 73.942x +133.946y-0.012=0, wherein x is more than or equal to 0 and less than or equal to 39, y is more than or equal to 0 and less than or equal to 9.527;
x 2 +y 2 82x-42.664y 1992.054=0, wherein 39 is less than or equal to x is less than or equal to 43,9.332 is less than or equal to y is less than or equal to 9.5;
x 2 +y 2 128.564x +109.114y +2552.392=0, wherein 43 ≦ x ≦ 72,9.5 ≦ y ≦ 12.943;
the expression of the right half wheel thorn profile curve:
x 2 +y 2 159.436x +109.114y +4775.176=0, wherein x is more than or equal to 72 and less than or equal to 101, and y is more than or equal to 9.5 and less than or equal to 12.943;
x 2 +y 2 206x-42.664y +10920.054=0, wherein 101 is less than or equal to x is less than or equal to 105,9.332 is less than or equal to y is less than or equal to 9.5;
x 2 +y 2 -214.058x +133.946y +10088.340=0, wherein x is more than or equal to 105 and less than or equal to 144, and y is more than or equal to 0 and less than or equal to 9.527;
the mathematical expression of the third bionic curve is as follows:
(x-0.6) 2/0.62+ (y-0.4) 2)/0.42 =1, wherein 0.6 ≦ x ≦ 1.066,0 ≦ y ≦ 0.653;
(x-1.54) 2/0.65152+ (y-0.952) 2)/0.4342-1 =0, wherein 0.8885 ≦ x ≦ 2.1915,0.653 ≦ y ≦ 1.386;
(x-2.48) 2/0.62+ (y-0.4) 2/0.42-1=0, wherein 1.88 ≦ x ≦ 2.48,0 ≦ y ≦ 0.653;
the invention has the beneficial effects that:
1. the bionic wheel surface and the six spokes form an integral structure, a wheel surface monomer cross section curve is a bionic curve obtained by optimizing the exoskeleton contour line of the armored beetle, the wheel surface structure can play a role in improving the bearing performance, a plurality of transverse strip-shaped wheel spines are uniformly distributed on the bionic wheel surface, the external curve of the wheel spines also imitates the exoskeleton contour curve of the armored beetle, in order to form a relatively continuous shearing soil ring, the height of the wheel spines is set to be 10mm, the thickness is set to be 5mm, the clearance angle of the wheel spines is 18 degrees, the number of the wheel spines is 20, and the structure can increase the traction force of the wheel to improve the climbing and the driving performance of the wheel.
2. The wheel hub and the wheel face are connected through a plurality of spokes, one end of each spoke is fixedly connected in the spoke mounting holes on two sides of the wheel hub through a mechanical connection structure, the other end of each spoke and the bionic wheel face are of an integral structure and are provided with bending angles of 20 degrees, the bearing performance of the wheel can be further improved, a plurality of similar square through holes are formed in the spokes, the sizes of the two groups of similar square through holes are enlarged by 3 times along the direction from the wheel hub to the wheel face, and the structure can improve the vibration damping performance and has a light effect; a plurality of square through holes are formed in the surface of the hub at the same time, and the effect of light weight is achieved.
Drawings
FIG. 1 is a perspective view of the structure of the present invention;
FIG. 2 is a front view of the present invention;
FIG. 3 is a top view of the present invention;
FIG. 4 is a perspective view of the hub structure of the present invention;
FIG. 5 is a cross-sectional view of the present invention;
FIG. 6 is an enlarged view of the mechanical linkage of FIG. 5;
FIG. 7 is a first biomimetic graph of a cross-section of a wheel face monomer of the present invention;
FIG. 8 is a second graph illustrating the simulation of the outer contour of the wheel rim according to the present invention;
FIG. 9 is a third bionic curve diagram of the cross section of the mechanical connecting structure for fixedly connecting the spoke and the hub;
Detailed Description
As shown in fig. 1, 2, 3, 4, 5 and 6, a light high-strength lunar vehicle bionic wheel comprises a bionic wheel surface 1, a spoke 2 and a hub 3;
the bionic wheel surface 1 and six spokes 2 form an integral structure, the cross section curve of a monomer of the bionic wheel surface 1 is a first bionic curve A obtained by optimizing an exoskeleton contour line of the armored beetle, the structure of the bionic wheel surface 1 can play a role in improving the bearing performance, a plurality of transverse strip-shaped wheel spines 4 are uniformly distributed on the bionic wheel surface 1, the external curve of each transverse strip-shaped wheel spine 4 also imitates the outline curve of the armored beetle exoskeleton, the curve is a second bionic curve B, in order to form relatively continuous shearing soil rings, the height of each transverse strip-shaped wheel spine 4 is set to be 10mm, the thickness of each transverse strip-shaped wheel spine 4 is set to be 5mm, the clearance angle of each transverse strip-shaped wheel spine 4 is 18 degrees, the number of the transverse strip-shaped wheel spines 4 is 20, and the structure can increase the traction force of a wheel to improve the climbing and the driving performance of the wheel; the wheel hub 3 is connected with the bionic wheel face 1 through a plurality of spokes 2, one end of each spoke 2 is fixedly connected in spoke mounting holes in two sides of the wheel hub 3 through a mechanical connection structure a of an imitated iron beetle coleoptera structure, the cross section curve of the mechanical connection structure a is a third bionic curve C, the other end of each spoke 2 and the bionic wheel face 1 are of an integral structure and are provided with bending angles of 20 degrees of inward folding, the bearing performance of the wheel can be further improved, a plurality of first-class square through holes b are formed in the spokes 2, the two groups of first-class square through holes b are enlarged by 3 times along the direction from the wheel hub 3 to the bionic wheel face 1, and the structure can improve the slow vibration performance and achieve the effect of light weight; a plurality of second type square through holes c are formed in the surface of the hub 3 at the same time, and the effect of light weight is achieved.
The mathematical expression of the first bionic curve A is as follows:
connecting the inside and outside contour curve expressions of the left half face:
y = -25, wherein 7.5 is less than or equal to x is less than or equal to 9.5;
left half inner profile expression:
x 2 +y 2 -264.856x-39.09y +823.620=0, where 3. Ltoreq. X.ltoreq.9.5, -25. Ltoreq. Y.ltoreq.1;
x 2 +y 2 81.492x +6.77y +227.695=0, wherein x is more than or equal to 3 and less than or equal to 6, and y is more than or equal to 1 and less than or equal to 12;
x 2 +y 2 -144.25x +65.164y-96.460=0, wherein 6 ≦ x ≦ 35 and 12 ≦ y ≦ 38;
x 2 +y 2 170.342x +300.87y-8140.211=0, wherein x is more than or equal to 35 and less than or equal to 100, and y is more than or equal to 38 and less than or equal to 44.565;
left half outline expression:
x 2 +y 2 -256.72x-49.766y-0.109=0, where 0 ≦ x ≦ 7.5, -25 ≦ y ≦ 0;
x 2 +y 2 79.604x +7.956y +0.024=0, wherein x is more than or equal to 0 and less than or equal to 2.712, y is more than or equal to 0 and less than or equal to 11;
x 2 +y 2 144.25x +65.164y-437.621=0, wherein x is more than or equal to 2.712 and less than or equal to 28, and y is more than or equal to 11 and less than or equal to 36.5;
x 2 +y 2 129.942x +60.946y-702.415=0, wherein x is more than or equal to 28 and less than or equal to 67, and y is more than or equal to 36.5 and less than or equal to 46.027;
x 2 +y 2 138x-115.664y +7961.540=0, wherein 67 ≦ x ≦ 71, 45.832 ≦ y ≦ 46;
x 2 +y 2 171x +39.848y +3150.966=0, wherein x is more than or equal to 71 and less than or equal to 100, and y is more than or equal to 46 and less than or equal to 47.576;
and (3) connecting the expressions of the inner and outer contour curves of the right half:
y = -25, wherein 190.5 is less than or equal to x is less than or equal to 192.5;
right half-inner contour expression:
x 2 +y 2 135.144x-39.09y-12147.580=0, where 190.5. Ltoreq. X.ltoreq.197, -25. Ltoreq. Y.ltoreq.1;
x 2 +y 2 318.508x +6.77y +23929.295=0, wherein 194 is more than or equal to x is less than or equal to 197,1 is more than or equal to y is less than or equal to 12;
x 2 +y 2 255.75x +65.164y +11053.540=0, wherein x is more than or equal to 165 and less than or equal to 194, and y is more than or equal to 12 and less than or equal to 38;
x 2 +y 2 229.658x +300.87y-2208.612=0, wherein x is more than or equal to 100 and less than or equal to 165, and y is more than or equal to 38 and less than or equal to 44.565;
right half outline expression:
x 2 +y 2 -143.28x-49.766y-11344.109=0, where 192.5. Ltoreq. X.ltoreq.200, -25. Ltoreq. Y.ltoreq.0;
x 2 +y 2 320.396x +7.956y +24079.224=0, wherein 197.288 is less than or equal to x is less than or equal to 200, and 0 is less than or equal to y is less than or equal to 11;
x 2 +y 2 -255.75x+65.164y+10712.379＝0，172≤x≤197.288，11≤y≤36.5；
x 2 +y 2 270.058x +60.946y +13309.185=0, wherein x is more than or equal to 133 and less than or equal to 172, and y is more than or equal to 36.5 and less than or equal to 46.027;
x 2 +y 2 -262x-115.664y +20361.540=0, wherein 129 ≦ x ≦ 133, 45.832 ≦ y ≦ 46;
x 2 +y 2 -229x +39.848y +8950.966=0, wherein x is more than or equal to 100 and less than or equal to 129, and y is more than or equal to 46 and less than or equal to 47.576;
the mathematical expression of the second bionic curve B is as follows:
the expression of the left half wheel thorn outline curve:
x 2 +y 2 73.942x +133.946y-0.012=0, wherein x is more than or equal to 0 and less than or equal to 39, y is more than or equal to 0 and less than or equal to 9.527;
x 2 +y 2 -82x-42.664y+1992.054=0, wherein 39 ≦ x ≦ 43,9.332 ≦ y ≦ 9.5;
x 2 +y 2 128.564x +109.114y +2552.392=0, wherein 43 ≦ x ≦ 72,9.5 ≦ y ≦ 12.943;
the expression of the right half wheel thorn profile curve:
x 2 +y 2 159.436x +109.114y +4775.176=0, wherein 72 is less than or equal to x less than or equal to 101, and 9.5 is less than or equal to y less than or equal to 12.943;
x 2 +y 2 206x-42.664y +10920.054=0, wherein 101 ≦ x ≦ 105,9.332 ≦ y ≦ 9.5;
x 2 +y 2 -214.058x +133.946y +10088.340=0, wherein x is more than or equal to 105 and less than or equal to 144, and y is more than or equal to 0 and less than or equal to 9.527;
the mathematical expression of the third bionic curve C is as follows:
(x-0.6) 2 /0.6 2 +(y-0.4) 2 /0.4 2 =1, wherein 0.6 x ≦ 1.066,0 y ≦ 0.653;
(x-1.54 )2 /0.6515 2 +(y-0.952) 2 /0.434 2 =1, wherein x is more than or equal to 0.8885 and less than or equal to2.1915，0.653≤y≤1.386；
(x-2.48) 2 /0.6 2 +(y-0.4) 2 /0.4 2 =1, wherein 1.88. Ltoreq. X.ltoreq.2.48, 0. Ltoreq. Y.ltoreq.0.653.
Fig. 7, fig. 8 and fig. 9 are respectively a first bionic curve diagram of a cross section of a wheel face monomer, a second bionic curve diagram of a wheel thorn outer contour and a third bionic curve diagram of a cross section of a mechanical connection structure for fixedly connecting a spoke and a wheel hub.
Claims (3)
1. The utility model provides a bionic wheel of light weight, high strength lunar vehicle which characterized in that: comprises a bionic wheel surface (1), a spoke (2) and a hub (3);
bionic wheel face (1) and six spokes (2) form an integral structure, bionic wheel face (1) monomer cross section curve is first bionic curve (A), a plurality of horizontal strip-shaped wheel spines (4) have been seted up to bionic wheel face (1) equipartition, horizontal strip-shaped wheel spine (4) outside curve is the bionic curve of second (B), be connected by a plurality of spokes (2) between wheel hub (3) and bionic wheel face (1), spoke (2) one end links firmly in the spoke mounting hole of wheel hub (3) both sides through mechanical connection structure (a), mechanical connection structure (a) cross section curve is the bionic curve of third (C), spoke (2) other end and bionic wheel face (1) are integral structure and are equipped with 20 bending angle of inflection, spoke (2) inside is opened has a plurality of first type square through-hole (B), two sets of first type square through-hole (B) size prolongs wheel hub (3) and bionical wheel face (1) direction and enlarges 3 times, wheel hub (3) surface is opened simultaneously has a plurality of second type square through-hole (C).
2. The bionic wheel of the light high-strength lunar vehicle as claimed in claim 1, characterized in that: the height of the transverse strip-shaped wheel spines (4) is set to be 10mm, the thickness of the transverse strip-shaped wheel spines is set to be 5mm, the clearance angle of the transverse strip-shaped wheel spines (4) is 18 degrees, and the number of the transverse strip-shaped wheel spines (4) is 20.
3. The bionic wheel of the light high-strength lunar vehicle as claimed in claim 1, characterized in that: the mathematical expression of the first bionic curve (A) is as follows:
connecting the inside and outside contour curve expressions of the left half face:
y = -25, wherein 7.5 ≦ x ≦ 9.5;
left half inner profile expression:
x 2 +y 2 -264.856x-39.09y +823.620=0, where 3. Ltoreq. X.ltoreq.9.5, -25. Ltoreq. Y.ltoreq.1;
x 2 +y 2 81.492x +6.77y +227.695=0, wherein x is more than or equal to 3 and less than or equal to 6, and y is more than or equal to 1 and less than or equal to 12;
x 2 +y 2 -144.25x +65.164y-96.460=0, wherein x is more than or equal to 6 and less than or equal to 35 and y is more than or equal to 12 and less than or equal to 38;
x 2 +y 2 170.342x +300.87y-8140.211=0, wherein x is more than or equal to 35 and less than or equal to 100, and y is more than or equal to 38 and less than or equal to 44.565;
left half outline expression:
x 2 +y 2 -256.72x-49.766y-0.109=0, where 0 ≦ x ≦ 7.5, -25 ≦ y ≦ 0;
x 2 +y 2 79.604x +7.956y +0.024=0, wherein x is more than or equal to 0 and less than or equal to 2.712, and y is more than or equal to 0 and less than or equal to 11;
x 2 +y 2 144.25x +65.164y-437.621=0, wherein x is more than or equal to 2.712 and less than or equal to 28, and y is more than or equal to 11 and less than or equal to 36.5;
x 2 +y 2 129.942x +60.946y-702.415=0, wherein x is more than or equal to 28 and less than or equal to 67, and y is more than or equal to 36.5 and less than or equal to 46.027;
x 2 +y 2 138x-115.664y +7961.540=0, wherein 67. Ltoreq. X.ltoreq.71, 45.832. Ltoreq. Y.ltoreq.46;
x 2 +y 2 171x +39.848y +3150.966=0, wherein x is more than or equal to 71 and less than or equal to 100, and y is more than or equal to 46 and less than or equal to 47.576;
and (3) connecting the right half inner and outer contour curve expressions:
y = -25, wherein 190.5 is less than or equal to x is less than or equal to 192.5;
right half-inner contour expression:
x 2 +y 2 135.144x-39.09y-12147.580=0, where 190.5. Ltoreq. X.ltoreq.197, -25. Ltoreq. Y.ltoreq.1;
x 2 +y 2 318.508x +6.77y +23929.295=0, wherein 194 is less than or equal to x is less than or equal to 197,1 is less than or equal to y is less than or equal to 12;
x 2 +y 2 255.75x +65.164y +11053.540=0, wherein x is more than or equal to 165 and less than or equal to 194, and y is more than or equal to 12 and less than or equal to 38;
x 2 +y 2 229.658x +300.87y-2208.612=0, wherein x is more than or equal to 100 and less than or equal to 165, and y is more than or equal to 38 and less than or equal to 44.565;
right half outline expression:
x 2 +y 2 -143.28x-49.766y-11344.109=0, where 192.5. Ltoreq. X.ltoreq.200, -25. Ltoreq. Y.ltoreq.0;
x 2 +y 2 320.396x +7.956y +24079.224=0, wherein 197.288 x is less than or equal to 200,0 y is less than or equal to 11;
x 2 +y 2 -255.75x+65.164y+10712.379＝0，172≤x≤197.288，11≤y≤36.5；
x 2 +y 2 270.058x +60.946y +13309.185=0, wherein x is more than or equal to 133 and less than or equal to 172, and y is more than or equal to 36.5 and less than or equal to 46.027;
x 2 +y 2 -262x-115.664y +20361.540=0, wherein 129 ≦ x ≦ 133, 45.832 ≦ y ≦ 46;
x 2 +y 2 -229x +39.848y +8950.966=0, wherein x is more than or equal to 100 and less than or equal to 129, and y is more than or equal to 46 and less than or equal to 47.576;
the mathematical expression of the second bionic curve (B) is as follows:
the expression of the left half wheel thorn outline curve:
x 2 +y 2 73.942x +133.946y-0.012=0, wherein x is more than or equal to 0 and less than or equal to 39, y is more than or equal to 0 and less than or equal to 9.527;
x 2 +y 2 -82x-42.664y+1992.054=0, wherein 39 ≦ x ≦ 43,9.332 ≦ y ≦ 9.5;
x 2 +y 2 128.564x +109.114y +2552.392=0, wherein 43 ≦ x ≦ 72,9.5 ≦ y ≦ 12.943;
the expression of the right half wheel thorn profile curve:
x 2 +y 2 159.436x +109.114y +4775.176=0, wherein x is more than or equal to 72 and less than or equal to 101, and y is more than or equal to 9.5 and less than or equal to 12.943;
x 2 +y 2 206x-42.664y +10920.054=0, wherein 101 ≦ x ≦ 105,9.332 ≦ y ≦ 9.5;
x 2 +y 2 -214.058x +133.946y +10088.340=0, wherein x is more than or equal to 105 and less than or equal to 144, and y is more than or equal to 0 and less than or equal to 9.527;
the mathematical expression of the third bionic curve (C) is as follows:
(x-0.6) 2 /0.6 2 +(y-0.4) 2 /0.4 2 =1, wherein x is 0.6 ≦ 1.066, y is 0 ≦ 0.653;
(x-1.54 )2 /0.6515 2 +(y-0.952) 2 /0.434 2 =1, wherein 0.8885 ≦ x ≦ 2.1915,0.653 ≦ y ≦ 1.386; (x-2.48) 2 /0.6 2 +(y-0.4) 2 /0.4 2 =1, wherein 1.88 ≦ x ≦ 2.48,0 ≦ y ≦ 0.653.
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| JP2020079049A (en) * | 2018-11-14 | 2020-05-28 | 株式会社スズテック | Mounting fixture for auxiliary wheel of auxiliary wheel for farm tractor |
| CN215673018U (en) * | 2021-07-15 | 2022-01-28 | 上海市建筑装饰工程集团有限公司 | Wing fold type bionic connecting structure of insect wing |
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| CN102204428A (en) * | 2011-03-25 | 2011-10-05 | 吉林大学 | Surface soil compacting roller with bionic geometric structure |
| CN202115263U (en) * | 2011-04-11 | 2012-01-18 | 吉林大学 | Bionic tire splinter for wheels of moon rover |
| US20180029410A1 (en) * | 2013-12-06 | 2018-02-01 | Rail 1520 Ip Ltd. | Railcar wheel, apparatus and method of manufacture |
| CN206323764U (en) * | 2016-10-14 | 2017-07-14 | 吉林大学 | A kind of bionical covering device of soybean seeder |
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| JP2020079049A (en) * | 2018-11-14 | 2020-05-28 | 株式会社スズテック | Mounting fixture for auxiliary wheel of auxiliary wheel for farm tractor |
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