CN107646211A - A kind of bionical multiple dimensioned broached-tooth design based on fractal theory - Google Patents
A kind of bionical multiple dimensioned broached-tooth design based on fractal theory Download PDFInfo
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- CN107646211A CN107646211A CN201710907191.3A CN201710907191A CN107646211A CN 107646211 A CN107646211 A CN 107646211A CN 201710907191 A CN201710907191 A CN 201710907191A CN 107646211 A CN107646211 A CN 107646211A
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- 238000013461 design Methods 0.000 title claims abstract description 55
- 238000005520 cutting process Methods 0.000 claims abstract description 19
- 238000009826 distribution Methods 0.000 claims abstract description 7
- 239000002689 soil Substances 0.000 claims description 20
- 238000000034 method Methods 0.000 claims description 13
- 230000000737 periodic effect Effects 0.000 claims description 3
- 239000011664 nicotinic acid Substances 0.000 abstract description 4
- 238000012545 processing Methods 0.000 abstract description 3
- 238000003971 tillage Methods 0.000 description 19
- 238000005516 engineering process Methods 0.000 description 8
- 238000009313 farming Methods 0.000 description 8
- 241001356458 Gonorynchus greyi Species 0.000 description 5
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- 238000005265 energy consumption Methods 0.000 description 5
- 238000004519 manufacturing process Methods 0.000 description 5
- 238000011160 research Methods 0.000 description 5
- 235000001968 nicotinic acid Nutrition 0.000 description 3
- 238000005457 optimization Methods 0.000 description 3
- 238000012271 agricultural production Methods 0.000 description 2
- 230000004888 barrier function Effects 0.000 description 2
- 238000011161 development Methods 0.000 description 2
- 230000003628 erosive effect Effects 0.000 description 2
- 241000533950 Leucojum Species 0.000 description 1
- 241001465754 Metazoa Species 0.000 description 1
- 241000012243 Scincus scincus Species 0.000 description 1
- 230000006978 adaptation Effects 0.000 description 1
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- 230000008635 plant growth Effects 0.000 description 1
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Classifications
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- A—HUMAN NECESSITIES
- A01—AGRICULTURE; FORESTRY; ANIMAL HUSBANDRY; HUNTING; TRAPPING; FISHING
- A01B—SOIL WORKING IN AGRICULTURE OR FORESTRY; PARTS, DETAILS, OR ACCESSORIES OF AGRICULTURAL MACHINES OR IMPLEMENTS, IN GENERAL
- A01B33/00—Tilling implements with rotary driven tools, e.g. in combination with fertiliser distributors or seeders, with grubbing chains, with sloping axles, with driven discs
- A01B33/08—Tools; Details, e.g. adaptations of transmissions or gearings
- A01B33/10—Structural or functional features of the tools ; Theoretical aspects of the cutting action
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- Life Sciences & Earth Sciences (AREA)
- Engineering & Computer Science (AREA)
- Mechanical Engineering (AREA)
- Soil Sciences (AREA)
- Environmental Sciences (AREA)
- Milling, Broaching, Filing, Reaming, And Others (AREA)
Abstract
The present invention relates to a kind of bionical multiple dimensioned broached-tooth design based on fractal theory, belong to technical field of agricultural mechanical equipment.Broached-tooth design of the present invention is based on fractal theory and bionic technological means, and broached-tooth design is carried out into a point shape according to fractal dimension, and with multiple dimensioned formal distribution on bionical broached-tooth design, sawtooth is arranged in order on equipment soil-engaging component cutting edge in periodicity.The present invention is based on fractal theory, construct Novel saw tooth-shape structure, sawtooth by it is bionical it is multiple dimensioned in the form of occur, make equipment soil-engaging component to reduce working resistance while work quality is ensured, relative to bionical broached-tooth design, multiple dimensioned broached-tooth design can preferably reduce resistance, also, be directed to prior art, the cutting edge structure can obviously reduce processing cost, is easy to realize in working ability backward areas and promotes.
Description
Technical field
The present invention relates to a kind of bionical multiple dimensioned broached-tooth design based on fractal theory, belongs to agricultural machinery technology neck
Domain.
Background technology
In modern agricultural production, farming is one of link of most consumed energy in agricultural production, therefore, it is necessary to by right
The optimization of cultivating procedure reduces energy consumption.Farming has a variety of tillage methods such as rotary tillage and deep ploughing.Wherein, rotary tillage is revolved using rotary cultivator
Turn blade cut, break up the clods, a kind of loose expedient of tillage for puddling topsoil.The main function of rotary tillage：Hack, loosen the soil, puddle,
Smooth soil, plough, target, flat three kinds of effects can once be completed；Subsoiling can not only be broken or eliminate in plough sole or soil
Claypan, deepen arable layer, be easy to root system to stretch downwards, and the edaphon area of former topsoil can be kept with soil layer not disorderly
System's distribution, available nutrient gradient and the gradation of moisture, cure substratum, reduce the unproductive consumption of the soil organism, can also make
Plant growth obtains the good supply of liquid manure on mellow soil.Soil surface keeps original state after subsoiling, can mitigate wind erosion, water
Erosion is scattered and disappeared with soil moisture.Therefore, rotary tillage and deep ploughing have been obtained for widely promoting as conventional tillage method.
Although above-mentioned tillage method has many advantages, such as above, but working resistance is always farm machinery tillage field greatly during farming
Fail the technical barrier effectively solved for many years, tillage resistance very much not only results in high energy consumption, greatly increases agriculture production cost.
More seriously, because tillage resistance is big, big-powered tractor is needed as power source when China carries out big breadth operation
Ensure, but China is for the manufacturing technology of big-powered tractor and limited in one's ability, so as to limit pushing away for tillage system reform
Wide application.It is energy-saving so how to reduce tillage resistance, promote the popularization and application of the tillage system reforms such as rotary tillage, deep ploughing into
For the important topic of current agricultural tillage machinery area research.In addition, with agricultural modernization technology to it is energy-saving, can hold
The development in continuous, green direction, the operation quality and horsepower requirements of agricultural tillage machinery are also constantly being improved, particularly
Higher requirement is proposed to various typical soil-engaging components.
The content of the invention
The invention provides a kind of bionical multiple dimensioned broached-tooth design based on fractal theory, for overcoming big breadth soil to plough
The problem of resistance is big when making, high energy consumption.
The technical scheme is that：A kind of bionical multiple dimensioned broached-tooth design based on fractal theory, broached-tooth design are based on
Fractal theory successively according to fractal dimension D with the formal distribution of n yardsticks in the equipment cutting edge camber line for soil cutting, in week
Phase property arranges.
The broached-tooth design uses isosceles triangular structure；Thei+ 1 grade of yardstick toothed edge is distributed iniLevel yardstick sawtooth
At 1/f, L i+1=1/eL i (i=1,2 ..n-1, n>=1),i+ 1 grade of yardstick sawtooth is withiAt level yardstick sawtooth corresponding sides center
1/f at be base, divide shape successively, be built into multiple dimensioned broached-tooth design, e, f are the natural number more than or equal to 2, L1For the first order
Yardstick sawtooth Clearance angle α1The length of corresponding hypotenuse, L i+1Fori+ 1 grade of Clearance angle α i+1The length of corresponding hypotenuse, Clearance angle α1For
The angle on first order yardstick sawtooth drift angle bisector one side, Clearance angle α i+1Fori+ 1 grade of yardstick sawtooth drift angle bisector one side
Angle, throat of tooth angle γ1For the angle of first order yardstick sawtooth drift angle bisector another side, throat of tooth angle γ i+1Fori+ 1 grade of yardstick sawtooth
The angle of drift angle bisector another side, throat of tooth angle γ1Corresponding hypotenuse divides shape mode and Clearance angle α1Corresponding hypotenuse divides shape mode phase
Together, throat of tooth angle γ i+1Corresponding hypotenuse divides shape mode and Clearance angle α i+1Corresponding hypotenuse divides shape mode identical, α1=α i+1=γ1=
γ i+1。
F=the e=3, thei+ 1 grade of yardstick toothed edge is distributed iniAt the 1/3 of level yardstick sawtooth, L i+1=1/3L i. 。
The fractal dimension D determines that this point of shape mode is that rule divides shape according to the fractal method of koch curves.
The n values are 2 to 5.
The L1The mm of value 5 to 30 mm.
The tooth angle β of the first yardstick sawtooth1For 30 ° to 120 °, tooth angle β1For the drift angle of the first yardstick sawtooth；The
The Clearance angle α of one yardstick sawtooth1For 15 ° to 60 °；The throat of tooth angle γ of first yardstick sawtooth1For 15 ° to 60 °；First yardstick sawtooth
The high h of tooth be 5 mm to 30 mm, the high h of tooth is the first yardstick sawtooth drift angle to the first paracentral distance in yardstick sawtooth bottom.
The distance between described two neighboring first order broached-tooth design S is 5 mm to 10 mm.
The present invention theory origin be：Research finds that equipment is in farming, first, from resistance when being contacted with soil
Power, another is exactly the adhesion of soil.Therefore, the resistance and adhesion during equipment farming how are reduced, turns into and grinds instantly
The new thinking studied carefully.To a certain extent, served reduces frictional force to equipment with bionical zigzag structure
Ability, still, in order to which the limitation of big-powered tractor when overcoming big breadth operation reduces the energy of frictional force, it is necessary to improve equipment
Power.Research confirms, mainly by the cutting edge of the edge of a knife when equipment acts on soil, therefore the shape of cutting edge and structure shape
Formula directly determines the size of the resistance that breaks ground of rotary blade.
The methods of bionics combination biological adaptation the Nature, according to the engineering technology means in modern times, by biology
Body surface form imitated, realize specific function and target.In the evolution of modern society, increasing work
Journey technical barrier annoyings scientists and engineers, and these problems have obtained good answer from biology, with bionics
Principle solves engineering problem and has become a much progress of world today's scientific technological advance, modern bionic research and
Using the every field for having been directed to engineering technology.
Imitated by function possessed by the cuticle topography to animal, applied to agricultural machinery design it
In, the needs of engineering technology are met, realize the combination of bionics and machine design and manufacture.Found by studying, sand fish
Lizard (Scincus scincus) have inside the sand dune excellent ability moved freely such as swimming with husky internal portion with 300
Mm/s speed continuously moves several kilometers, observation sand fish lizard front foot it can be found that the front foot of sand fish lizard is in multiple dimensioned broached-tooth design,
It is greatly reduced frictional force during husky move in earth, is reduced energy consumption to greatest extent, enhance wear-resistant material
Polishing machine, improve the speed of its movement.These features can be provided for the Bionic Design of agricultural machinery and borrowed well just
Mirror.
At present, the agricultural machinery and implement manufacturing enterprise technology and equipment in China comparatively falls behind, for the bionical agricultural machinery and implement of complexity
Curve form design processing it is more difficult, cost is higher, thus limit the development and popularization of bionical agricultural machinery and implement.So
How to optimize the structure type of bionical equipment to greatest extent, can be easy to fabricate, accelerate pushing away for bionical agricultural machinery and implement
It is wide to use.
Fractal theory (Fractal Theory) is current very active new theory, new disciplines.The concept of point shape is beautiful
Nationality mathematician Ben Huamandebo（Benoit B. Mandelbrot）It is proposed first.The Fundamentals of Mathematics of fractal theory are a point shapes
Geometry, i.e., derive the application such as Fractal Information, Fractal Design by fractals.The most basic feature of fractal theory is to use fraction
The visual angle of dimension and mathematical method description and research objective things, that is, with a point shape, the mathematical tool of point dimension come descriptive study
Objective things.It has jumped out traditional hedge of one-dimensional line, the face of two dimension, three-dimensional solid or even four-dimensional spacetime, more convergence
The real property of complication system and the description of state, more conform to the diversity and complexity of objective things.A linear point shape is also known as
For self-similar fractal.Self similarity principle and grey iterative generation principle are the cardinal principle of fractal theory.It, which is characterized, divides shape common
There is consistency, i.e. scaling under geometric transformation.It is the Dui Cheng from different scale by self-similarity, also implies that
Recurrence.Self-similarity in point shape body can be similar in identical or statistical significance.The self similarity of standard
Point shape is abstract, the unlimited fine structure of grey iterative generation mathematically, such as Koch curve（Koch snowflake）, Xie Erbinsi
Carpets（Sierpinski carpet）Deng.This to have rule point shape simply minority, most point shapes are the nothings in statistical significance
Rule divide shape.Koch curve generation methods are that straight line is divided into three sections, isometric with two that angle is 60 ° by middle one section
（1/3）Broken line replace, form generation unit.Then each straightway is replaced with generation unit again, passed through
An infinite anfractuose koch curve is just presented after crossing infinite successive ignition（Such as Fig. 6）, belong to have and return a point shape.
Learn the multiple dimensioned broached-tooth design of sand fish lizard front foot, with reference to fractal theory, according to the fractal method of koch curves, optimization
Broached-tooth design, constructed it is a kind of be used for multiple dimensioned broached-tooth design of the soil cutting based on fractal theory, come strengthen sawtooth resistance
The ability of abrasive wear, efficient quick operation is realized, can be used in most of tillage implement cutting edge camber line.
The beneficial effects of the invention are as follows：Application of the present invention based on bionical broached-tooth design on deep soil loosing shovel, with reference to sand fish lizard
Front foot Multi-scale model, based on fractal theory, to its optimization design, the multiple dimensioned sawtooth knot based on fractal theory constructed
Structure, by increasing capacitance it is possible to increase the ability of resistance is reduced during equipment farming, particularly, in big breadth farming operation, can greatly be dropped
Low tillage resistance, so as to solve the limitation of big-powered tractor manufacture.Equipment with multiple dimensioned broached-tooth design, make in farming
During industry, operation quality is both ensure that, reduces energy consumption again, has saved cost.Used bionical more chis based on fractal theory
Sawtooth mechanism is spent, can be further based on the existing machinery industry standard in China by conventional traditional process equipment and technique
Machining processes, it is easy to accomplish, and the ability for reducing frictional force is considerably increased, it can be pushed away on a large scale in the whole nation
It is wide to use.
Brief description of the drawings
Fig. 1 is schematic structural view of the invention；
Fig. 2 is the rough schematic that structure of the present invention is applied on deep soil loosing shovel；
Fig. 3 is the partial enlarged drawing that multiple dimensioned broached-tooth design is applied on deep soil loosing shovel；
Fig. 4 is the rough schematic that structure of the present invention is applied on rotary blade；
Fig. 5 is the partial enlarged drawing that multiple dimensioned broached-tooth design is applied on rotary blade；
Fig. 6 is koch curve synoptic diagrams.
Embodiment
With reference to the accompanying drawings and examples, the invention will be further described, but present disclosure be not limited to it is described
Scope.
Embodiment 1：As shown in figures 1 to 6, a kind of bionical multiple dimensioned broached-tooth design based on fractal theory, broached-tooth design are based on
Fractal theory successively according to fractal dimension D=ln4/ln3=1.2618 with the formal distribution of 2 yardsticks on deep soil loosing shovel cutting edge camber line,
First order sawtooth uses 10 sawtooth on cutting edge camber line, in periodic arrangement.
The broached-tooth design uses isosceles triangular structure；2nd grade of yardstick toothed edge is distributed in the 1/ of the 1st grade of yardstick sawtooth
At 3, L2=1/3L1, the 2nd grade of yardstick sawtooth, as base, to divide shape, structure successively at 1/3 at the 1st grade of yardstick sawtooth corresponding sides center
Multiple dimensioned broached-tooth design is built up, e, f are the natural number more than or equal to 2, as shown in figure 1, point A, B, C, A1、B1、C1、A2、B2、C2
Respectively three first order yardstick sawtooth vertexs of a triangle, point O be first order yardstick sawtooth triangle base midpoint, point D,
D1The respectively end points of second level yardstick sawtooth triangle crown, L1For first order yardstick sawtooth Clearance angle α1Corresponding hypotenuse A1CI
Length, A1CILength be equal to AC length, L2For the 2nd grade of Clearance angle α2Corresponding hypotenuse DE length, Clearance angle α1For the 1st grade
The angle on yardstick sawtooth drift angle bisector one side（Side A1C1With side C1O angle）, Clearance angle α 2 Put down for the 2nd grade of yardstick sawtooth drift angle
The angle on separated time one side, throat of tooth angle γ1For the angle of the 1st grade of yardstick sawtooth drift angle bisector another side（Side B1C1With side C1O folder
Angle）, throat of tooth angle γ2For the angle of the 2nd grade of yardstick sawtooth drift angle bisector another side, tooth angle β1For side A1C1With side B1C1Folder
Angle, throat of tooth angle γ1Corresponding hypotenuse B1C1Divide shape mode and Clearance angle α1Corresponding hypotenuse A1C1Divide shape mode identical, throat of tooth angle
γ2Corresponding hypotenuse divides shape mode and Clearance angle α2Corresponding hypotenuse divides shape mode identical, α1=α2=γ1=γ2。
Further, the f=e=3, thei+ 1 grade of yardstick toothed edge is distributed iniAt the 1/3 of level yardstick sawtooth, L i+1=
1/3L i. 。
Further, the fractal dimension D determines according to the fractal method of koch curves, and this divides shape mode for rule point
Shape.
Further, the n values are 2 to 5.
Further, the L1The mm of value 5 to 30 mm, it can such as take 5 mm, 15 mm, 30 mm etc..
Further, the tooth angle β of the first yardstick sawtooth1For 30 ° to 120 °, 30 °, 60 °, 120 ° can be such as taken
Deng tooth angle β1For the drift angle of the first yardstick sawtooth；The Clearance angle α of first yardstick sawtooth1For 15 ° to 60 °, 15 ° can be such as taken,
30 °, 60 ° etc.；The throat of tooth angle γ of first yardstick sawtooth1For 15 ° to 60 °, 15 °, 30 °, 60 ° etc. can be such as taken；First yardstick is sawed
The high h of tooth of tooth is 5 mm to 30 mm, can such as take 5 mm, 15 mm, 30 mm etc., and the high h of tooth is the first yardstick sawtooth drift angle to the
The one paracentral distance in yardstick sawtooth bottom.
The distance between the described two neighboring first order broached-tooth design of bionical sawtooth geometry S is 5 mm to 10 mm,
5 mm, 7 mm, 10 mm etc. can be such as taken, are arranged in periodicity on equipment cutting edge camber line.
Embodiment 2：It is as shown in figures 1 to 6, a kind of to be used for bionical multiple dimensioned broached-tooth design of the soil cutting based on fractal theory,
Broached-tooth design based on fractal theory successively according to fractal dimension D=ln2/ln3=0.631 with the formal distribution of 3 yardsticks in rotary blade
On cutting edge camber line, first order sawtooth uses 7 sawtooth on cutting edge camber line, in periodic arrangement.
The broached-tooth design uses isosceles triangular structure；2nd grade of yardstick toothed edge is distributed in the 1/ of the 1st grade of yardstick sawtooth
At 3, L2=1/3L1, the 2nd grade of yardstick sawtooth, as base, to divide shape, structure successively at 1/3 at the 1st grade of yardstick sawtooth corresponding sides center
Multiple dimensioned broached-tooth design is built up, 3rd level yardstick toothed edge is distributed at the 1/3 of the 2nd grade of yardstick sawtooth, L3=1/3L2, 3rd level chi
Sawtooth is spent, as base, to divide shape successively at 1/3 at the 2nd grade of yardstick sawtooth corresponding sides center, be built into multiple dimensioned broached-tooth design,
E, f is the natural number more than or equal to 2, as shown in figure 1, point A, B, C, A1、B1、C1、A2、B2、C2Respectively three first order yardsticks
Sawtooth vertex of a triangle, point O be first order yardstick sawtooth triangle base midpoint, point D, D1Respectively second level yardstick is sawed
The end points of tooth triangle crown, H are the summit of third quarter yardstick sawtooth vertex angle, and F is third quarter yardstick sawtooth triangle
The summit at base angle, L1For first order yardstick sawtooth Clearance angle α1Corresponding hypotenuse A1CILength, A1CILength be equal to AC length,
L2For the 2nd grade of Clearance angle α2Corresponding hypotenuse DE length, Clearance angle α1For the angle on the 1st grade of yardstick sawtooth drift angle bisector one side（Side
A1C1With side C1O angle）, Clearance angle α 2 For the angle on the 2nd grade of yardstick sawtooth drift angle bisector one side, throat of tooth angle γ1For the 1st grade of chi
Spend the angle of sawtooth drift angle bisector another side（Side B1C1With side C1O angle）, throat of tooth angle γ2Put down for the 2nd grade of yardstick sawtooth drift angle
The angle of separated time another side, tooth angle β1For side A1C1With side B1C1Angle, throat of tooth angle γ1Corresponding hypotenuse B1C1Divide shape mode and
Clearance angle α1Corresponding hypotenuse A1C1Divide shape mode identical, throat of tooth angle γ2Corresponding hypotenuse divides shape mode and Clearance angle α2It is corresponding oblique
Side divides shape mode identical, α1=α2=γ1=γ2。
Further, the f=e=3, thei+ 1 grade of yardstick toothed edge is distributed iniAt the 1/3 of level yardstick sawtooth, L i+1=
1/3L i. 。
Further, the fractal dimension D determines according to the fractal method of koch curves, and this divides shape mode for rule point
Shape.
Further, the n values are 2 to 5.
Further, the L1The mm of value 5 to 30 mm, it can such as take 5 mm, 15 mm, 30 mm etc..
The tooth angle β of the first yardstick sawtooth1For 30 ° to 120 °, 30 ° can be such as taken, 60 °, 120 ° etc., tooth angle β1
For the drift angle of the first yardstick sawtooth；The Clearance angle α of first yardstick sawtooth1For 15 ° to 60 °, 15 °, 30 °, 60 ° etc. can be such as taken；
The throat of tooth angle γ of first yardstick sawtooth1For 15 ° to 60 °, 15 °, 30 °, 60 ° etc. can be such as taken；The high h of tooth of first yardstick sawtooth is
5 mm to 30 mm, can such as take 5 mm, 15 mm, 30 mm etc., and the high h of tooth is the first yardstick sawtooth drift angle to the first yardstick sawtooth
The paracentral distance in bottom.
The distance between the described two neighboring first order broached-tooth design of bionical sawtooth geometry S is 5 mm to 10 mm,
5 mm, 7 mm, 10 mm etc. can be such as taken, are arranged in periodicity on equipment cutting edge camber line.
Broached-tooth design of the present invention is based on fractal theory and bionic technological means, and broached-tooth design is entered according to fractal dimension
Row divide shape, with multiple dimensioned formal distribution on bionical broached-tooth design, sawtooth on equipment soil-engaging component cutting edge in periodically according to
Secondary arrangement.The present invention be based on fractal theory, constructs Novel saw tooth-shape structure, sawtooth by it is bionical it is multiple dimensioned in the form of appearance, make machine
Have soil-engaging component while work quality is ensured, working resistance can be reduced, relative to bionical broached-tooth design, multiple dimensioned saw
Toothing can preferably reduce resistance, also, be directed to prior art, and the cutting edge structure can obviously reduce processing cost, just
Promoted in being realized in working ability backward areas.
Above in conjunction with accompanying drawing to the present invention embodiment be explained in detail, but the present invention be not limited to it is above-mentioned
Embodiment, can also be before present inventive concept not be departed from those of ordinary skill in the art's possessed knowledge
Put and make a variety of changes.
Claims (8)
- A kind of 1. bionical multiple dimensioned broached-tooth design based on fractal theory, it is characterised in that：Broached-tooth design be based on fractal theory according to It is secondary according to fractal dimension D with the formal distribution of n yardsticks in the equipment cutting edge camber line for soil cutting, in periodic arrangement.
- 2. the bionical multiple dimensioned broached-tooth design according to claim 1 based on fractal theory, it is characterised in that：The sawtooth Structure uses isosceles triangular structure；Thei+ 1 grade of yardstick toothed edge is distributed iniAt the 1/f of level yardstick sawtooth, L i+1=1/eL i (i=1,2 ..n-1, n>=1),i+ 1 grade of yardstick sawtooth is withiIt is base at 1/f at level yardstick sawtooth corresponding sides center, according to It is secondary to divide shape, it is built into multiple dimensioned broached-tooth design, e, f are the natural number more than or equal to 2, L1For first order yardstick sawtooth Clearance angle α1 The length of corresponding hypotenuse, L i+1Fori+ 1 grade of Clearance angle α i+1The length of corresponding hypotenuse, Clearance angle α1For first order yardstick sawtooth top The angle on angular bisector one side, Clearance angle α i+1ForiThe angle on+1 grade of yardstick sawtooth drift angle bisector one side, throat of tooth angle γ1For first The angle of level yardstick sawtooth drift angle bisector another side, throat of tooth angle γ i+1Fori+ 1 grade of yardstick sawtooth drift angle bisector another side Angle, throat of tooth angle γ1Corresponding hypotenuse divides shape mode and Clearance angle α1Corresponding hypotenuse divides shape mode identical, throat of tooth angle γ i+1It is corresponding Hypotenuse divides shape mode and Clearance angle α i+1Corresponding hypotenuse divides shape mode identical, α1=α i+1=γ1=γ i+1。
- 3. the bionical multiple dimensioned broached-tooth design according to claim 2 based on fractal theory, it is characterised in that：F=the e =3, thei+ 1 grade of yardstick toothed edge is distributed iniAt the 1/3 of level yardstick sawtooth, L i+1=1/3L i. 。
- 4. the bionical multiple dimensioned broached-tooth design according to claim 1 based on fractal theory, it is characterised in that：Described point of shape Dimension D determines that this point of shape mode is that rule divides shape according to the fractal method of koch curves.
- 5. the bionical multiple dimensioned broached-tooth design according to claim 1 based on fractal theory, it is characterised in that：The n takes It is worth for 2 to 5.
- 6. the bionical multiple dimensioned broached-tooth design according to claim 2 based on fractal theory, it is characterised in that：The L1Take The mm of value 5 to 30 mm.
- 7. the bionical multiple dimensioned broached-tooth design according to claim 2 based on fractal theory, it is characterised in that：Described first The tooth angle β of yardstick sawtooth1For 30 ° to 120 °, tooth angle β1For the drift angle of the first yardstick sawtooth；The back of tooth of first yardstick sawtooth Angle α1For 15 ° to 60 °；The throat of tooth angle γ of first yardstick sawtooth1For 15 ° to 60 °；The high h of tooth of first yardstick sawtooth is 5 mm to 30 Mm, the high h of tooth are the first yardstick sawtooth drift angle to the first paracentral distance in yardstick sawtooth bottom.
- 8. the bionical multiple dimensioned broached-tooth design according to claim 2 based on fractal theory, it is characterised in that：Described phase The distance between adjacent two first order broached-tooth designs S is 5 mm to 10 mm.
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| CN112816452A (en) * | 2021-01-19 | 2021-05-18 | 昆明理工大学 | Method for quantifying distribution depth of microorganisms in biological drying granular sludge |
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