CN107237777A - A kind of agricultural ventilation blower flexural tensile elastic modulus and its design method - Google Patents

A kind of agricultural ventilation blower flexural tensile elastic modulus and its design method Download PDF

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Publication number
CN107237777A
CN107237777A CN201710646512.9A CN201710646512A CN107237777A CN 107237777 A CN107237777 A CN 107237777A CN 201710646512 A CN201710646512 A CN 201710646512A CN 107237777 A CN107237777 A CN 107237777A
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mrow
msub
msup
directions
blade
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CN107237777B (en
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丁涛
方露梦
施正香
李保明
王朝元
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China Agricultural University
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China Agricultural University
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    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F04POSITIVE - DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS FOR LIQUIDS OR ELASTIC FLUIDS
    • F04DNON-POSITIVE-DISPLACEMENT PUMPS
    • F04D29/00Details, component parts, or accessories
    • F04D29/26Rotors specially for elastic fluids
    • F04D29/32Rotors specially for elastic fluids for axial flow pumps
    • F04D29/38Blades
    • F04D29/384Blades characterised by form
    • F04D29/386Skewed blades

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  • Engineering & Computer Science (AREA)
  • Mechanical Engineering (AREA)
  • General Engineering & Computer Science (AREA)
  • Structures Of Non-Positive Displacement Pumps (AREA)

Abstract

The invention belongs to agricultural machinery technological field, it is related to a kind of agricultural ventilation blower flexural tensile elastic modulus and its design method.The shape of the flexural tensile elastic modulus is controlled by the center of gravity product superimposing thread designed based on quadratic bezier curve.Curved design is carried out in circumferential plane, design parameter is bent angle α, x direction controlling parameter kx, y direction controlling parameters ky.Carry out plunderring design in axial plane, design parameter is sweep angle β, z direction controlling parameter kz, r direction controlling parameters kr.Each cross section geometric parameter constant is kept, using centroid of section as reference point, superimposing thread shape is accumulated according to center of gravity and determines each section Wan Lve positions.By the combination to above-mentioned design parameter, coordinate optimized algorithm, can obtain the optimal flexural tensile elastic modulus under corresponding optimization aim in theory.

Description

A kind of agricultural ventilation blower flexural tensile elastic modulus and its design method
Technical field
The invention belongs to agricultural machinery technological field, it is related to a kind of agricultural ventilation blower flexural tensile elastic modulus and its design method.
Background technology
Agricultural ventilation blower is widely used in industrialized agriculture, the environment ventilation of such as heliogreenhouse and poultry house.At present, in the market " DDZ " serial agricultural ventilation blower that most of agricultural ventilation blower is researched and developed for 90 years for eighties of last century, internal flow loss is serious, wind Function is imitated than relatively low.Therefore improve agricultural ventilator energy efficiency ratio, have important meaning to improving agriculture drafting efficiency and energy-conserving and environment-protective Justice.
Also there is circumferentially rotatable direction between the leaf top of blade and blade root in addition to the torsion in direction is opened up along leaf in flexural tensile elastic modulus On inclination (curved) and along the inclination (plunderring) in direction of flow, be a kind of blade with complex three-dimensional space structure.
At present, flexural tensile elastic modulus has been widely used for turbomachine, and substantial amounts of experimental study and numerical value computational chart is bright, rationally Curved plunder of blade can change the radial component of blade and airflow acting force, control blade surface barometric gradient distribution reduces stream Dynamic loss, reaches the purpose for improving turbomachine aeroperformance.The research of flexural tensile elastic modulus is concentrated mainly on leaf top and base region It is curved plunder, and research is plunderred to curved in overall leaf high scope, i.e. the concrete shape of center of gravity product superimposing thread discusses few, for what is chosen The center of gravity of the form of kind, which accumulates superimposing thread and how to control center of gravity to accumulate superimposing thread, not yet obtains common recognition.And agricultural ventilator hub it is smaller, Blade is longer, and the curved sweep shape controlling value on whole leaf height must be probed into.
The content of the invention
It is an object of the invention to provide a kind of center of gravity product superimposing thread control blade-shaped by being designed based on quadratic bezier curve The agricultural ventilation blower flexural tensile elastic modulus of shape.
It is a further object to provide a kind of design method of agricultural ventilation blower flexural tensile elastic modulus.
To achieve these goals, the invention provides following technical scheme:
The shape of flexural tensile elastic modulus is controlled by the center of gravity product superimposing thread designed based on quadratic bezier curve.Bent blades controlling curve Projection of the superimposing thread in circumferential plane is accumulated for center of gravity, in x-y plane, design parameter is bent angle α, x direction controlling parameter kx、 Y direction controlling parameters ky.Plunder blade controlling curve and accumulate rotation projection of the superimposing thread in axial plane for center of gravity, positioned at r-z planes Interior, design parameter is sweep angle β, z direction controlling parameter kz, r direction controlling parameters kr.Each cross section geometric parameter constant is kept, to cut Face center of gravity is reference point, and accumulating superimposing thread shape according to center of gravity determines each section Wan Lve positions.
A kind of flexural tensile elastic modulus 1 of agricultural fan impeller, multiple flexural tensile elastic modulus 1 are uniformly radially arranged along the circumference of wheel hub 2 Impeller is constituted, the blade shape of the flexural tensile elastic modulus 1 is controlled by the center of gravity product superimposing thread designed based on quadratic bezier curve, its In,
Center of gravity product superimposing thread is projected as bent blades controlling curve in circumferential plane, in x-y plane, its governing equation For:
Center of gravity accumulates rotation of the superimposing thread in axial plane and is projected as plunderring blade controlling curve, in r-z planes, and it is controlled Equation is:
In formula,
PxFor bent blades controlling curve x directions coordinate;
PyFor bent blades controlling curve y directions coordinate;
PzTo plunder blade controlling curve z directions coordinate;
PrTo plunder blade controlling curve r directions coordinate;
T is Bezier function arguments;
R is impeller radius;
r0For blade root radius;
α is bent angle;
β is sweep angle;
kxFor bent blades controlling curve x direction controlling parameters;
kyFor bent blades controlling curve y direction controlling parameters;
kzTo plunder blade controlling curve z direction controlling parameters;
krTo plunder blade controlling curve r direction controlling parameters;
X directions and y directions be respectively blade root center of gravity bent angle be 0 ° when, cylindrical-coordinate system is converted to the x after rectangular coordinate system Direction and y directions;
Z directions is axially, r directions is radially.
A kind of design method of agricultural ventilation blower flexural tensile elastic modulus 1, is accumulated using the center of gravity designed based on quadratic bezier curve Superimposing thread controls the blade shape of flexural tensile elastic modulus 1;
Center of gravity product superimposing thread is projected as bent blades controlling curve in circumferential plane, in x-y plane;Center of gravity accumulates superimposing thread Rotation in axial plane is projected as plunderring blade controlling curve, in r-z planes;
The governing equation of bent blades controlling curve is:
The governing equation for plunderring blade controlling curve is:
In formula,
PxFor bent blades controlling curve x directions coordinate;
PyFor bent blades controlling curve y directions coordinate;
PzTo plunder blade controlling curve z directions coordinate;
PrTo plunder blade controlling curve r directions coordinate;
T is Bezier function arguments;
R is impeller radius;
r0For blade root radius;
α is bent angle;
β is sweep angle;
kxFor bent blades controlling curve x direction controlling parameters;
kyFor bent blades controlling curve y direction controlling parameters;
kzTo plunder blade controlling curve z direction controlling parameters;
krTo plunder blade controlling curve r direction controlling parameters;
X directions and y directions be respectively blade root center of gravity bent angle be 0 ° when, cylindrical-coordinate system is converted to the x after rectangular coordinate system Direction and y directions;
Z directions is axially, r directions is radially.
For the agricultural ventilating vane that impeller radius is 600~700mm,
Three design parameters of the bent blades are:
α span is 5~15 °;
kxSpan be 0.5~1.5;
kySpan be 0.5~1.0;
It is described plunder blade three design parameters be:
β span is 5~15 °;
kzSpan be -0.5~0.5;
krSpan be 0.5~1.0.
Compared with prior art, the beneficial effects of the present invention are:
(1) present invention accumulates the design method of superimposing thread using quadratic bezier curve design gravity, design parameter it is simple it is clear, Center of gravity product superimposing thread flexible shapes easy to control, being obtained, can control the curved sweep shape of the high blade of whole leaf.
(2) present invention accumulates the design method of superimposing thread, design parameter and parameter model using quadratic bezier curve design gravity Enclose clearly, by the combination to design parameter, coordinate optimized algorithm, can obtain under optimization aim corresponding in theory optimal curved plunders Blade.
(3) the agricultural ventilation that blade shape is controlled by the center of gravity product superimposing thread designed based on quadratic bezier curve of the invention Machine flexural tensile elastic modulus is compared to conventional agricultural ventilation blower, and with higher Energy Efficiency Ratio, Energy Efficiency Ratio improves more than 15%.
Brief description of the drawings
Fig. 1 a are agricultural ventilation blower bent blades controlling curve design drawing of the invention;
Fig. 1 b are that agricultural ventilation blower of the invention plunders blade controlling curve design drawing;
Fig. 2 is the flexural tensile elastic modulus schematic diagram of one embodiment of the invention.
Reference therein is:
1 flexural tensile elastic modulus
2 wheel hubs
3 sections
4 centers of gravity accumulate superimposing thread
P0For blade root centroid of section
P1For leaf top section center of gravity
P2For bent blades Shape Control Point
P3To plunder blade shape control point
α is bent angle
β is sweep angle
Embodiment
The present invention is further described with reference to embodiment.
As shown in Fig. 1 a, Fig. 1 b and Fig. 2, multiple agricultural ventilation blower flexural tensile elastic modulus 1 are uniformly radially arranged along the circumference of wheel hub 2 Constitute impeller.The blade shape of the flexural tensile elastic modulus 1 is controlled by the center of gravity product superimposing thread designed based on quadratic bezier curve, its In,
Center of gravity product superimposing thread is projected as bent blades controlling curve in circumferential plane, in x-y plane, its governing equation For:
Center of gravity accumulates rotation of the superimposing thread in axial plane and is projected as plunderring blade controlling curve, in r-z planes, and it is controlled Equation is:
In formula,
PxFor bent blades controlling curve x directions coordinate;
PyFor bent blades controlling curve y directions coordinate;
PzTo plunder blade controlling curve z directions coordinate;
PrTo plunder blade controlling curve r directions coordinate;
T is Bezier function arguments;
R is impeller radius;
r0For blade root radius;
α is bent angle;
β is sweep angle;
kxFor bent blades controlling curve x direction controlling parameters;
kyFor bent blades controlling curve y direction controlling parameters;
kzTo plunder blade controlling curve z direction controlling parameters;
krTo plunder blade controlling curve r direction controlling parameters;
X directions and y directions be respectively blade root center of gravity bent angle be 0 ° when, cylindrical-coordinate system is converted to the x after rectangular coordinate system Direction and y directions;
Z directions is axially, r directions is radially.
A kind of design method of agricultural ventilation blower flexural tensile elastic modulus 1, including:Use the weight designed based on quadratic bezier curve Heart product superimposing thread controls the blade shape of flexural tensile elastic modulus 1.
Center of gravity product superimposing thread is projected as bent blades controlling curve in circumferential plane, in x-y plane;Center of gravity accumulates superimposing thread Rotation in axial plane is projected as plunderring blade controlling curve, in r-z planes.
The first point P of quadratic bezier curve0For blade root centroid of section, last point P1For leaf top section center of gravity.P2Point is bent blades Shape Control Point, kxFor P2The x direction controlling parameters of point, kyFor P2The y direction controlling parameters of point.P3Point is to plunder blade shape control Point, kzFor P3The z direction controlling parameters of point, krFor P3The r direction controlling parameters of point.Introduce blade design parameter:Impeller radius R, Blade root radius r0, bent angle α, sweep angle β.
Then under rectangular coordinate system, bent blades control point P0、P1、P2Coordinate can be written as:P0(0, r0), P1(Rsin α, Rcos α), P2(kxRsin α, kyRcos α), plunder blade control point P0、P1、P3Coordinate can be written as:P0(0, r0), P1(Rtan β, R), P2(kzRtan β, krR)。
The governing equation of bent blades controlling curve is:
The governing equation for plunderring blade controlling curve is:
In formula,
PxFor bent blades controlling curve x directions coordinate;
PyFor bent blades controlling curve y directions coordinate;
PzTo plunder blade controlling curve z directions coordinate;
PrTo plunder blade controlling curve r directions coordinate;
T is Bezier function arguments;
R is impeller radius;
r0For blade root radius;
α is bent angle;
β is sweep angle;
kxFor bent blades controlling curve x direction controlling parameters;
kyFor bent blades controlling curve y direction controlling parameters;
kzTo plunder blade controlling curve z direction controlling parameters;
krTo plunder blade controlling curve r direction controlling parameters.
For the agricultural ventilating vane that impeller radius is 600~700mm,
Preferably, three design parameters of the bent blades:
α span is 5~15 °;
kxSpan be 0.5~1.5;
kySpan be 0.5~1.0;
Preferably, three design parameters for plunderring blade:
β span is 5~15 °;
kzSpan be -0.5~0.5;
krSpan be 0.5~1.0.
With reference to optimization method, it can obtain the optimal bent blades under optimization aim corresponding in theory and optimal plunder blade parameter group Close.For different size of impeller, the optimization range of design parameter can make the appropriate adjustments.
Embodiment
The flexural tensile elastic modulus design method of the present invention is applied in a conventional agricultural fan impeller, as shown in Fig. 2 this is agricultural Fan impeller includes wheel hub 2 and flexural tensile elastic modulus 1, and six flexural tensile elastic modulus 1 are uniformly laid around wheel hub 2.Impeller radius R= 634mm, blade root radius r0=114mm.According to bent blades controlling curve expression formula proposed by the present invention, then specific bent blades control The governing equation of koji-making line is:
It is specific plunder blade controlling curve governing equation be:
Several sections 3 are uniformly chosen along leaf height, flexural tensile elastic modulus moulding section is used as.Shape Control Point determines that center of gravity product is folded Wire shaped, center of gravity product superimposing thread shape determines the displacement in section.
For bent blades, it is ensured that cross section geometric parameter constant, keep r, z direction coordinate constant, controlled according to bent blades bent Line determines each section x, y direction displacement.
For plunderring blade, it is ensured that cross section geometric parameter constant, keep x, y, r direction coordinate constant, according to plunderring blade control Curve determines each section z directions displacement.
Optimization method uses orthogonal experiment, using Energy Efficiency Ratio as optimization aim, using method for numerical simulation to every kind of curved leaf Piece carries out performance calculating with blade blower fan is plunderred, and obtains Energy Efficiency Ratio.Table 1, table 2 are respectively bent blades and the orthogonal test knot for plunderring blade Really.
Comparative example routinely agricultural ventilating vane α=10 °, kx=1.2, ky=0.7;Energy Efficiency Ratio 24.68m3/(h·W)。β =5 °, kz=0, kr=0.8, Energy Efficiency Ratio 24.68m3/(h·W)。
By the analysis to orthogonal experiments, the optimum combination for determining bent blades is α=15 °, kx=1.5, ky=0.5, Take the progress of the bent blades blower fan under the optimum combination to adjust and obtain Energy Efficiency Ratio for 29.74m3/ (hW), than conventional agricultural ventilation blower Improve 20.5%.The optimum combination for plunderring blade is β=10 °, kz=-0.5, kr=0.6, take and plunder blade under the optimum combination Blower fan, which adjust, obtains Energy Efficiency Ratio for 28.49m3/ (hW), 15.4% is improved than conventional agricultural ventilation blower.
The bent blades orthogonal experiments of table 1
Wherein, K1, K2, K3 refer to average value of each factor under same level respectively, and such as α K1 is exactly the condition of α=5 ° Under air quantity average value, kxK1 be exactly kxEnergy Efficiency Ratio average value under conditions of=0.5.
Table 2 plunders blade orthogonal experiments

Claims (3)

1. a kind of flexural tensile elastic modulus (1) of agricultural fan impeller, circumferential uniform radial direction of multiple flexural tensile elastic modulus (1) along wheel hub (2) Set and constitute impeller, it is characterised in that:The blade shape of the flexural tensile elastic modulus (1) is by the weight that is designed based on quadratic bezier curve Heart product superimposing thread control, wherein,
Center of gravity product superimposing thread is projected as bent blades controlling curve in circumferential plane, and in x-y plane, its governing equation is:
<mrow> <mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mrow> <msub> <mi>P</mi> <mi>x</mi> </msub> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> <mo>=</mo> <mn>2</mn> <mi>t</mi> <mrow> <mo>(</mo> <mrow> <mn>1</mn> <mo>-</mo> <mi>t</mi> </mrow> <mo>)</mo> </mrow> <msub> <mi>Rk</mi> <mi>x</mi> </msub> <mi>sin</mi> <mi>&amp;alpha;</mi> <mo>+</mo> <msup> <mi>Rt</mi> <mn>2</mn> </msup> <mi>sin</mi> <mi>&amp;alpha;</mi> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mi>P</mi> <mi>y</mi> </msub> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> <mo>=</mo> <msup> <mrow> <mo>(</mo> <mrow> <mn>1</mn> <mo>-</mo> <mi>t</mi> </mrow> <mo>)</mo> </mrow> <mn>2</mn> </msup> <msub> <mi>r</mi> <mn>0</mn> </msub> <mo>+</mo> <mn>2</mn> <mi>t</mi> <mrow> <mo>(</mo> <mrow> <mn>1</mn> <mo>-</mo> <mi>t</mi> </mrow> <mo>)</mo> </mrow> <msub> <mi>Rk</mi> <mi>y</mi> </msub> <mi>cos</mi> <mi>&amp;alpha;</mi> <mo>+</mo> <msup> <mi>Rt</mi> <mn>2</mn> </msup> <mi>cos</mi> <mi>&amp;alpha;</mi> </mrow> </mtd> </mtr> </mtable> </mfenced> <mo>,</mo> <mrow> <mo>(</mo> <mrow> <mn>0</mn> <mo>&amp;le;</mo> <mi>t</mi> <mo>&amp;le;</mo> <mn>1</mn> </mrow> <mo>)</mo> </mrow> </mrow>
Center of gravity accumulates rotation of the superimposing thread in axial plane and is projected as plunderring blade controlling curve, in r-z planes, its governing equation For:
<mrow> <mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mrow> <msub> <mi>P</mi> <mi>z</mi> </msub> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> <mo>=</mo> <mn>2</mn> <mi>t</mi> <mrow> <mo>(</mo> <mn>1</mn> <mo>-</mo> <mi>t</mi> <mo>)</mo> </mrow> <msub> <mi>k</mi> <mi>z</mi> </msub> <mi>R</mi> <mi> </mi> <mi>t</mi> <mi>a</mi> <mi>n</mi> <mi>&amp;beta;</mi> <mo>+</mo> <msup> <mi>t</mi> <mn>2</mn> </msup> <mi>R</mi> <mi> </mi> <mi>t</mi> <mi>a</mi> <mi>n</mi> <mi>&amp;beta;</mi> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mi>P</mi> <mi>r</mi> </msub> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> <mo>=</mo> <msup> <mrow> <mo>(</mo> <mn>1</mn> <mo>-</mo> <mi>t</mi> <mo>)</mo> </mrow> <mn>2</mn> </msup> <msub> <mi>r</mi> <mn>0</mn> </msub> <mo>+</mo> <mn>2</mn> <mi>t</mi> <mrow> <mo>(</mo> <mn>1</mn> <mo>-</mo> <mi>t</mi> <mo>)</mo> </mrow> <msub> <mi>Rk</mi> <mi>r</mi> </msub> <mo>+</mo> <msup> <mi>Rt</mi> <mn>2</mn> </msup> </mrow> </mtd> </mtr> </mtable> </mfenced> <mo>,</mo> <mrow> <mo>(</mo> <mn>0</mn> <mo>&amp;le;</mo> <mi>t</mi> <mo>&amp;le;</mo> <mn>1</mn> <mo>)</mo> </mrow> </mrow>
In formula,
PxFor bent blades controlling curve x directions coordinate;
PyFor bent blades controlling curve y directions coordinate;
PzTo plunder blade controlling curve z directions coordinate;
PrTo plunder blade controlling curve r directions coordinate;
T is Bezier function arguments;
R is impeller radius;
r0For blade root radius;
α is bent angle;
β is sweep angle;
kxFor bent blades controlling curve x direction controlling parameters;
kyFor bent blades controlling curve y direction controlling parameters;
kzTo plunder blade controlling curve z direction controlling parameters;
krTo plunder blade controlling curve r direction controlling parameters;
X directions and y directions be respectively blade root center of gravity bent angle be 0 ° when, cylindrical-coordinate system is converted to the x directions after rectangular coordinate system With y directions;
Z directions is axially, r directions is radially.
2. a kind of design method of agricultural ventilation blower flexural tensile elastic modulus (1), it is characterised in that:
Use the blade shape of the center of gravity product superimposing thread control flexural tensile elastic modulus (1) designed based on quadratic bezier curve;
Center of gravity product superimposing thread is projected as bent blades controlling curve in circumferential plane, in x-y plane;Center of gravity accumulates superimposing thread in axle Rotation into plane is projected as plunderring blade controlling curve, in r-z planes;
The governing equation of bent blades controlling curve is:
<mrow> <mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mrow> <msub> <mi>P</mi> <mi>x</mi> </msub> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> <mo>=</mo> <mn>2</mn> <mi>t</mi> <mrow> <mo>(</mo> <mrow> <mn>1</mn> <mo>-</mo> <mi>t</mi> </mrow> <mo>)</mo> </mrow> <msub> <mi>Rk</mi> <mi>x</mi> </msub> <mi>sin</mi> <mi>&amp;alpha;</mi> <mo>+</mo> <msup> <mi>Rt</mi> <mn>2</mn> </msup> <mi>sin</mi> <mi>&amp;alpha;</mi> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mi>P</mi> <mi>y</mi> </msub> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> <mo>=</mo> <msup> <mrow> <mo>(</mo> <mrow> <mn>1</mn> <mo>-</mo> <mi>t</mi> </mrow> <mo>)</mo> </mrow> <mn>2</mn> </msup> <msub> <mi>r</mi> <mn>0</mn> </msub> <mo>+</mo> <mn>2</mn> <mi>t</mi> <mrow> <mo>(</mo> <mrow> <mn>1</mn> <mo>-</mo> <mi>t</mi> </mrow> <mo>)</mo> </mrow> <msub> <mi>Rk</mi> <mi>y</mi> </msub> <mi>cos</mi> <mi>&amp;alpha;</mi> <mo>+</mo> <msup> <mi>Rt</mi> <mn>2</mn> </msup> <mi>cos</mi> <mi>&amp;alpha;</mi> </mrow> </mtd> </mtr> </mtable> </mfenced> <mo>,</mo> <mrow> <mo>(</mo> <mrow> <mn>0</mn> <mo>&amp;le;</mo> <mi>t</mi> <mo>&amp;le;</mo> <mn>1</mn> </mrow> <mo>)</mo> </mrow> </mrow>
The governing equation for plunderring blade controlling curve is:
<mrow> <mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mrow> <msub> <mi>P</mi> <mi>z</mi> </msub> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> <mo>=</mo> <mn>2</mn> <mi>t</mi> <mrow> <mo>(</mo> <mn>1</mn> <mo>-</mo> <mi>t</mi> <mo>)</mo> </mrow> <msub> <mi>k</mi> <mi>z</mi> </msub> <mi>R</mi> <mi> </mi> <mi>t</mi> <mi>a</mi> <mi>n</mi> <mi>&amp;beta;</mi> <mo>+</mo> <msup> <mi>t</mi> <mn>2</mn> </msup> <mi>R</mi> <mi> </mi> <mi>t</mi> <mi>a</mi> <mi>n</mi> <mi>&amp;beta;</mi> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mi>P</mi> <mi>r</mi> </msub> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> <mo>=</mo> <msup> <mrow> <mo>(</mo> <mn>1</mn> <mo>-</mo> <mi>t</mi> <mo>)</mo> </mrow> <mn>2</mn> </msup> <msub> <mi>r</mi> <mn>0</mn> </msub> <mo>+</mo> <mn>2</mn> <mi>t</mi> <mrow> <mo>(</mo> <mn>1</mn> <mo>-</mo> <mi>t</mi> <mo>)</mo> </mrow> <msub> <mi>Rk</mi> <mi>r</mi> </msub> <mo>+</mo> <msup> <mi>Rt</mi> <mn>2</mn> </msup> </mrow> </mtd> </mtr> </mtable> </mfenced> <mo>,</mo> <mrow> <mo>(</mo> <mn>0</mn> <mo>&amp;le;</mo> <mi>t</mi> <mo>&amp;le;</mo> <mn>1</mn> <mo>)</mo> </mrow> </mrow>
In formula,
PxFor bent blades controlling curve x directions coordinate;
PyFor bent blades controlling curve y directions coordinate;
PzTo plunder blade controlling curve z directions coordinate;
PrTo plunder blade controlling curve r directions coordinate;
T is Bezier function arguments;
R is impeller radius;
r0For blade root radius;
α is bent angle;
β is sweep angle;
kxFor bent blades controlling curve x direction controlling parameters;
kyFor bent blades controlling curve y direction controlling parameters;
kzTo plunder blade controlling curve z direction controlling parameters;
krTo plunder blade controlling curve r direction controlling parameters;
X directions and y directions be respectively blade root center of gravity bent angle be 0 ° when, cylindrical-coordinate system is converted to the x directions after rectangular coordinate system With y directions;
Z directions is axially, r directions is radially.
3. the design method of agricultural ventilation blower flexural tensile elastic modulus (1) according to claim 2, it is characterised in that:
For the agricultural ventilating vane that impeller radius is 600~700mm,
Three design parameters of the bent blades are:
α span is 5~15 °;
kxSpan be 0.5~1.5;
kySpan be 0.5~1.0;
It is described plunder blade three design parameters be:
β span is 5~15 °;
kzSpan be -0.5~0.5;
krSpan be 0.5~1.0.
CN201710646512.9A 2017-08-01 2017-08-01 Agricultural ventilator sweep blade and design method thereof Active CN107237777B (en)

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Application Number Priority Date Filing Date Title
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CN112974734A (en) * 2021-02-03 2021-06-18 西安科技大学 Manufacturing method of integrally formed swept combined blade
CN112974734B (en) * 2021-02-03 2023-03-10 西安科技大学 Manufacturing method of integrally formed swept combined blade
CN115479042A (en) * 2022-10-17 2022-12-16 清华大学 Blade design method based on gravity center stacking line control and vane pump designed by same
CN115479042B (en) * 2022-10-17 2024-06-25 清华大学 Vane design method based on gravity center stacking line control and vane pump designed by same

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