CN113919096A - High-speed plough body curved surface parametric design method based on horizontal straight line method - Google Patents

High-speed plough body curved surface parametric design method based on horizontal straight line method Download PDF

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CN113919096A
CN113919096A CN202111185720.6A CN202111185720A CN113919096A CN 113919096 A CN113919096 A CN 113919096A CN 202111185720 A CN202111185720 A CN 202111185720A CN 113919096 A CN113919096 A CN 113919096A
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赵雪彦
戴培康
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China Agricultural University
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Abstract

The invention relates to a high-speed plough body curved surface parametric design method based on a horizontal straight line method, which comprises the following steps: s1, determining the parameters of the plane profile of the curved surface of the plow body of the high-speed plow according to the plowing depth a and the plowing width b of the high-speed plow; s2, determining the curve guiding parameters of the curved surface of the plow body of the high-speed plow; s3, determining the corresponding line parameters of the lead curve; and S4, three-dimensional drawing of the plough body curved surface of the high-speed plough. The invention standardizes the design steps of the plough body curved surface of the high-speed plough and the design parameters of the plough body curved surface, simplifies the design of the guide curve, simplifies the calculation of the horizontal straight line, combines three-dimensional design software to draw the plough body curved surface of the high-speed plough, reduces the design time, improves the design efficiency and provides a method for the parametric design of the plough body curved surface of the high-speed plough.

Description

High-speed plough body curved surface parametric design method based on horizontal straight line method
Technical Field
The invention belongs to the technical field of agricultural machinery, and particularly relates to a parameterized design method for a plough body curved surface of a high-speed plough based on a horizontal straight line method.
Background
The plowing operation is the link which consumes the longest time in modern agriculture, and accounts for seventy percent of the total time of field operation. The high-speed furrow plough is one of the important agricultural machines for realizing high-efficiency cultivation. However, a large number of experimental studies have shown that the traction resistance is increased when a common furrow plough is used for high-speed cultivation, and the soil is thrown to one side far, so that the furrows are widened. The high-speed plough is based on the structure of a common furrow plough, and partial structural parameters are changed, so that the plough body can be suitable for agricultural implements for ploughing operation with a ploughing speed of more than 7 km/h. In order to optimize the structural parameters of the furrow plough to adapt to high-speed operation, a great deal of research is carried out at home and abroad aiming at the structural design and the working performance of the plough body of the high-speed plough.
With the development of the tillage machinery, the design of the curved surface of the plow body of the domestic high-speed plow is changed from imitation to independent development, and scientific research personnel in China also develop the domestic high-speed plow.
The main working component of the high-speed plough in the ploughing process is the curved surface of the plough body of the high-speed plough, and the curved surface influences the ploughing energy consumption, the soil breaking performance, the operating efficiency and the like of the plough body, so the design of the curved surface of the plough body of the high-speed plough is a key step for developing a high-quality high-speed plough. At present, the plow body curved surface of the high-speed plow is designed by a template curve method, a horizontal straight element line method, an inclined element line method, a theoretical soil trace method, an actual measurement soil trace method, an inclined moving line forming plow body curved surface and the like. For example, UG-based plow body curved surface modeling and simulation analysis thereof, Zhang et al, Xinjiang agricultural organization, 2014, 4(04):33-36, a three-dimensional modeling method for drawing a plow body curved surface of a furrow plow based on UG software is provided, although the modeling method shortens the design time of the plow body curved surface and improves the design efficiency, important spatial position relations such as straight lines, lead curves and the like are not determined, so that the forming process of the plow body curved surface is difficult to determine. The horizontal straight line plough body curved surface parametric design module based on the SolidWorks is provided based on the quadratic development function of the Solidworks, such as Yang Wei and the like, agricultural equipment and vehicle engineering, 2008, 4(09):22-26, but the forming expression of the plough body in the research is insufficient. Three-dimensional modeling and surface analysis of the plough body curved surface, Chengdui et al, Hunan agricultural machinery, 2009, 36(09):17-19, research on a design method of the plough body curved surface, wherein although the research details the forming process of the plough body curved surface, the forming process of a guide curve in the text is more complicated, and the design efficiency of the plough body is reduced.
The research shows that the performance of the domestic high-speed plough is different from that of the imported high-speed plough, and the prior design of the furrow plough has a plurality of defects, so that the research on the curved surface of the plough body of the high-quality high-speed plough is necessary.
Disclosure of Invention
Aiming at the technical problems, the invention aims to provide a parametric design method for the curved surface of the plow body of the high-speed plow based on a horizontal straight line method, which standardizes the design steps of the curved surface of the plow body of the high-speed plow and the design parameters of the curved surface of the plow body, simplifies the design of a guide curve, simplifies the calculation of a horizontal straight line, combines three-dimensional design software to draw the curved surface of the plow body of the high-speed plow, reduces the design time, improves the design efficiency and provides a method for the parametric design of the curved surface of the plow body of the high-speed plow.
In order to achieve the purpose, the invention provides the following technical scheme:
a parameterization design method for a plough body curved surface of a high-speed plough based on a horizontal straight line method comprises the following steps:
s1, determining the parameters of the plane profile of the curved surface of the plow body of the high-speed plow according to the plowing depth a and the plowing width b of the high-speed plow; the parameters of the plane profile include the height H of the tibial edge line, a first height deviation amount delta H and the maximum height H of the top edge linemaxThe line offset distance delta x of the shank, the line clip angle delta of the wing edge, the overlapped part delta b between the ploughshares, the parallel distance delta s and the height h of the ploughshare;
the tibial edge line height H is:
h ═ b the first height deviation Δ H in equation 1 is 30 to 80 mm;
the maximum height H of the top side linemaxComprises the following steps:
Figure BDA0003299124610000031
the included angle delta of the wing sidelines is as follows:
δ ═ arcsin (a/b) equation 3
The height h of the plough share is as follows:
h＝hssinθ0equation 4
In the formulas 1 to 4, the first and second groups,
h is the height of the tibial edge line, and the unit is mm; hmaxThe maximum height of the top sideline is in mm; delta is the wing edge line clip angle, and the unit is mm; h is the height of the plough share, and the unit is mm; a is the tilling depth, the unit is mm, and the value is 350-400 mm; b is the tillage width, the unit is mm, and the value is 400-540 mm; h issThe unit is mm, and the value is 115-135 mm; theta0Is the share cutting edge angle, the unit is DEG, the value is 35-42 DEG;
the line offset distance delta x of the tibial blade is 5-10 mm;
the overlapping part delta b between the furrow plows is 20-70 mm;
the parallel distance delta s is 10-25 mm;
s2, determining the curve guiding parameters of the curved surface of the plow body of the high-speed plow;
the lead curve parameter comprises a lead curve height HdThe method comprises the following steps of (1) guiding curve opening L, guiding curve installation angle epsilon, tangent angle omega, straight line segment length d and guiding curve position L;
the lead curve mounting angle epsilon is 20-30 degrees;
the opening l of the lead curve is as follows:
l＝Ckb (cos. DELTA. epsilon. -sin. epsilon.) equation 5
The tangent angle ω is:
Figure BDA0003299124610000041
height H of the lead curvedComprises the following steps:
Hd＝Chl formula 7
The lead curve position L is as follows:
Figure BDA0003299124610000042
in the formulas 5-8, the first and second groups,
l is the opening of the lead curve, and the unit is mm; omega is a tangent angle, and the unit is DEG; hdThe height of the lead curve is in mm; l is the position of the lead curve and is in mm; delta b is the overlapping part between the furrow plows, the unit is mm, and the value is 20-70 mm; theta0Is the share cutting edge angle, the unit is DEG, the value is 35-42 DEG; ckThe value is a constant and is 1.3-1.8; delta epsilon is a upturned soil buckling angle of a lead curve, and the unit is DEG, and the value is 0-10 DEG; epsilon is a lead curve mounting angle, the unit is DEG, and the value is 20-30 DEG; b is the tillage width, the unit is mm, and the value is 400-540 mm; delta h is a second height deviation amount, the unit is mm, and the value is 10-30 mm; chIs a constant and takes a value of 1.6-2.0;
the length d of the straight line segment is 45-60 mm;
s3, determining the corresponding line parameters of the lead curve;
the line parameters include an initial line angle theta0Minimum element line angle thetaminMaximum element angle thetamaxThe horizontal line linearly changes the partial line angle thetaiThe horizontal line linearly changes the partial line height ZiThe horizontal line varies part of the line angle in a non-linear way
Figure BDA0003299124610000043
And the horizontal line varies part of the line height H in a non-linear wayj；
The initial element line angle theta0(namely the cutting edge angle of the ploughshare) is 35-42 degrees;
the minimum element line angle thetaminAngle theta to initial element line02-4 degrees smaller;
the maximum element line angle thetamaxAngle theta to initial element line05-10 degrees in size;
the horizontal line linearly changes a partial line angle thetaiComprises the following steps:
Figure BDA0003299124610000051
in the formula 11, i is 0, 1, 2,.. n, n is the number of element lines in the process of linear change of the element line angle, and the value is 3-5;
the linear variation of the horizontal line element is partially the line element height ZiComprises the following steps:
Figure BDA0003299124610000052
in formula 12, ZiThe corresponding height of the ith straight line is (i) 0, 1, 2,. n, and n is the number of the element lines in the process of linearly changing the angle of the element lines, and the value is 3-5; zminIs the minimum element line angle thetaminThe corresponding height value is in the unit of cm and is 5-10 cm;
the horizontal line element changes part of the line angle in a non-linear way
Figure BDA0003299124610000053
Comprises the following steps:
Figure BDA0003299124610000054
and is
Figure BDA0003299124610000055
In formula 13, j is 0, 1, 2,. k, k is the number of element lines in the nonlinear variation process of the element line angle, and the value is 4-8; y ismaxThe maximum height variation of the line in the nonlinear variation process of the line angle is calculated according to a formula 14 and the unit is cm; y isjThe line angle is the height variation of a straight line in the nonlinear variation process, and is obtained by calculation according to a formula 15, and the unit is cm;
Figure BDA0003299124610000056
in formula 14, ZmaxThe height corresponding to the maximum line is equal to the height H of the conductive curvedIn mm;
Figure BDA0003299124610000061
in the formula 15, zjFor each bit line to ZminIs calculated according to equation 16, in mm:
Figure BDA0003299124610000062
in formula 16, j is 0, 1, 2,. k, k is the number of element lines in the nonlinear variation process of the element line angle, and the value is 4-8;
the horizontal line varies part of the line height H in a non-linear wayjComprises the following steps:
Figure BDA0003299124610000063
and Z ismin＜Hj＜ZmaxEquation 17
In the formula 17, HjThe horizontal line varies part of the line height H in a non-linear wayjIn units of cm; zmaxThe height corresponding to the maximum line is equal to the height H of the conductive curvedIn units of cm; zminIs the minimum element line angle thetaminThe corresponding height value is in the unit of cm and is 5-10 cm; j is 0, 1, 2, k is the number of the element lines in the nonlinear variation process of the element line angle, and the value is 4-8;
s4, three-dimensional drawing of the plough body curved surface of the high-speed plough;
drawing a guide curve and n horizontal line lines by three-dimensional software based on the plane profile parameter, the guide curve parameter and the line element parameter; using the lead curve as a section line and the initial element line angle theta0Minimum element line angle thetaminAnd maximum element line angle thetamaxThree water straight elements corresponding to each otherThe line is a guide line and the angle of the straight line
Figure BDA0003299124610000064
The corresponding horizontal straight line is a ridge line, a curved surface with a lead curve changing along with the straight line is formed by sweeping, and then the front view of the curved surface of the plow body of the high-speed plow is projected onto the curved surface to generate the curved surface of the plow body of the high-speed plow.
In step S2, the derivative curve parameter value satisfies formula 9:
H＜Hmax-Δh＜Hd＜Hmaxequation 9
Wherein H is the height of the tibial cutting edge line and the unit is mm; hmaxThe maximum height of the top sideline is in mm; hdThe height of the lead curve is in mm; Δ h is the second height deviation in mm.
In the step S2, the constant CkAnd ChThe product of the values of (a) must satisfy equation 10:
Figure BDA0003299124610000071
in the formula, a is the tilling depth and the unit is mm; b is the tillage width in mm; Δ H is a first height deviation in mm; Δ h is a second height deviation in mm; delta epsilon is the upturned angle of the lead curve, and the unit is DEG; epsilon is the lead curve mounting angle in degrees.
In step S4, the drawing method of the derivative curve includes an envelope curve drawing method and a calculation method.
Compared with the prior art, the invention has the beneficial effects that:
the parametric design method for the plough body curved surface of the high-speed plough based on the horizontal straight line method provided by the invention has the advantages that the design steps of the plough body curved surface of the high-speed plough and the design parameters of the plough body curved surface are standardized, the design of a guide curve is simplified, the calculation of a horizontal straight line is simplified, the design time is reduced by drawing the plough body curved surface of the high-speed plough by combining three-dimensional design software, the design efficiency is improved, and a method is provided for the parametric design of the plough body curved surface of the high-speed plough.
Drawings
FIG. 1 is a plan profile view of the curved surface of the plow body of the high-speed plow of the invention;
FIG. 2 is a schematic diagram of structural parameters of a derivative curve according to the present invention;
FIG. 3 is a diagram illustrating the variation of the angle of a bit line according to the present invention;
FIG. 4a is a side view of a schematic drawing of a reference plane of a derivative curve according to the present invention;
FIG. 4b is a rear view of a schematic drawing of a reference plane of a derivative curve according to the present invention;
FIG. 5a is a drawing process of a derivative curve according to the present invention;
FIG. 5b is a schematic view of a lead curve structure according to the present invention;
FIG. 5c is a schematic diagram of the spatial position of the lead curve according to the present invention;
FIG. 6a is a schematic diagram of a reference plane for drawing horizontal lines according to the present invention;
FIG. 6b is a schematic diagram of a space structure for drawing horizontal lines according to the present invention;
FIG. 6c is a schematic diagram of an angle of a drawn horizontal line according to the present invention;
FIG. 7a is a curved view of the variation of the curve with the horizontal line according to the present invention;
FIG. 7b is an extended view of a curve of the present invention with the variation of the horizontal line;
FIG. 8a is a plan profile view of a curved surface of the plow body of the high-speed plow drawn by the embodiment of the invention;
FIG. 8b is a schematic view in space of a plan profile of the curved surface of the plow body of the high-speed plow of the invention;
FIG. 9 is a profile graph of the curved surface of the high speed plow body of the present invention;
FIG. 10a is a curved front view of the plow body of the high-speed plow of the invention;
FIG. 10b is a curved side view of the plow body of the high-speed plow of the invention.
Detailed Description
The invention is further illustrated with reference to the following figures and examples.
A parameterization design method for a plough body curved surface of a high-speed plough based on a horizontal straight line method comprises the following steps:
s1, determining the parameters of the plane profile of the curved surface of the plow body of the high-speed plow according to the plowing depth a and the plowing width b of the high-speed plow; the parameters of the plane profile include the height H of the tibial edge line, a first height deviation amount delta H and the maximum height H of the top edge linemaxThe line offset distance delta x of the shank, the line clip angle delta of the wing edge, the overlapped part delta b between the ploughshares, the parallel distance delta s and the height h of the ploughshare;
the tibial edge line height H is:
b formula 1
The first height deviation amount delta H is 30-80 mm.
The maximum height H of the top side linemaxComprises the following steps:
Figure BDA0003299124610000081
the included angle delta of the wing sidelines is as follows:
δ ═ arcsin (a/b) equation 3
The height h of the plough share is as follows:
h＝hssinθ0 equation 4
In the formulas 1 to 4, the first and second groups,
h is the height of the tibial edge line, and the unit is mm; hmaxThe maximum height of the top sideline is in mm; delta is the wing edge line clip angle, and the unit is mm; h is the height of the plough share, and the unit is mm; a is the tilling depth, the unit is mm, and the value is 350-400 mm; b is the tillage width, the unit is mm, and the value is 400-540 mm; h issThe unit is mm, and the value is 115-135 mm; theta0Is the share cutting angle, the unit is DEG, and the value is 35-42 deg.
The line offset distance delta x of the tibial blade is 5-10 mm.
The overlapping part delta b between the furrow plows is 20-70 mm.
The parallel distance delta s is 10-25 mm and is used for determining the position of the wing sideline EF.
As shown in FIG. 1, a closed figure formed by points A, B, C, D, E and F in the figure is the outline of the curved surface of the plow body of the high-speed plow; the closed figure formed by points G, P, K, M and L in the figure is a upturned soil figure used for determining the position of the wing sideline EF.
S2, determining the curve guiding parameters of the curved surface of the plow body of the high-speed plow;
as shown in FIG. 2, the derivative curve is a finger for controlling the position of the horizontal bit line, and the derivative curve parameter includes the height H of the derivative curvedThe method comprises the following steps of (1) guiding curve opening L, guiding curve installation angle epsilon, tangent angle omega, straight line segment length d and guiding curve position L;
the lead curve mounting angle epsilon is 20-30 degrees.
The opening l of the lead curve is as follows:
l＝Ckb (cos. DELTA. epsilon. -sin. epsilon.) equation 5
The tangent angle ω is:
Figure BDA0003299124610000101
height H of the lead curvedComprises the following steps:
Hd＝Chl formula 7
The lead curve position L is as follows:
Figure BDA0003299124610000102
due to the height H of the lead curvedIs greater than the height H of the tibial edge line and is slightly less than the maximum height H of the top edge linemaxTherefore, the derivative curve parameter should satisfy the following formula:
H＜Hmax-Δh＜Hd＜Hmaxequation 9
Substituting equations 2, 5 and 7 into 9 simplifies to obtain:
Figure BDA0003299124610000103
in the formula 5-10, the first and second groups,
l is the opening of the lead curve, and the unit is mm; omega is a tangent angle, and the unit is DEG; hdThe height of the lead curve is shown as,the unit is mm; l is the position of the lead curve and is in mm; delta b is the overlapping part between the furrow plows, the unit is mm, and the value is 20-70 mm; theta0Is the share cutting edge angle, the unit is DEG, the value is 35-42 DEG; ckThe value is a constant and is 1.3-1.8; delta epsilon is a upturned soil buckling angle of a lead curve, and the unit is DEG, and the value is 0-10 DEG; epsilon is a lead curve mounting angle, the unit is DEG, and the value is 20-30 DEG; b is the tillage width, the unit is mm, and the value is 400-540 mm; delta h is a second height deviation amount, the unit is mm, and the value is 10-30 mm; chIs a constant and takes a value of 1.6-2.0.
The constant CkAnd ChThe product of the values of (a) must satisfy equation 10.
The length d of the straight line segment is 45-60 mm.
S3, determining the corresponding line parameters of the lead curve;
the line parameters include an initial line angle theta0Minimum element line angle thetaminMaximum element angle thetamaxThe horizontal line linearly changes the partial line angle thetaiThe horizontal line linearly changes the partial line height ZiThe horizontal line varies part of the line angle in a non-linear way
Figure BDA0003299124610000116
And the horizontal line varies part of the line height H in a non-linear wayj；
The initial element line angle theta0(namely the cutting edge angle of the ploughshare) is 35-42 degrees;
the minimum element line angle thetaminAngle theta to initial element line02-4 degrees smaller;
the maximum element line angle thetamaxAngle theta to initial element line05-10 degrees in size;
the horizontal line linearly changes a partial line angle thetaiComprises the following steps:
Figure BDA0003299124610000111
in the formula 11, i is 0, 1, 2,.. n, n is the number of element lines in the process of linear change of the element line angle, and the value is 3-5;
the linear variation of the horizontal line element is partially the line element height ZiComprises the following steps:
Figure BDA0003299124610000112
in formula 12, ZiThe corresponding height of the ith straight line is (i) 0, 1, 2,. n, and n is the number of the element lines in the process of linearly changing the angle of the element lines, and the value is 3-5; zminIs the minimum element line angle thetaminThe corresponding height value is in the unit of cm and is 5-10 cm;
the horizontal line element changes part of the line angle in a non-linear way
Figure BDA0003299124610000113
Comprises the following steps:
Figure BDA0003299124610000114
and is
Figure BDA0003299124610000115
In formula 13, j is 0, 1, 2,. k, k is the number of element lines in the nonlinear variation process of the element line angle, and the value is 4-8; y ismaxThe maximum height variation of the line in the nonlinear variation process of the line angle is calculated according to a formula 14 and the unit is cm; y isjThe line angle is the height variation of a straight line in the nonlinear variation process, and is obtained by calculation according to a formula 15, and the unit is cm;
Figure BDA0003299124610000121
in formula 14, ZmaxThe height corresponding to the maximum line is equal to the height H of the conductive curvedIn mm;
Figure BDA0003299124610000122
in the formula 15, zjFor each bit line to ZminIs calculated according to equation 16, in mm:
Figure BDA0003299124610000123
in formula 16, j is 0, 1, 2,. k, k is the number of element lines in the nonlinear variation process of the element line angle, and the value is 4-8;
the horizontal line varies part of the line height H in a non-linear wayjComprises the following steps:
Figure BDA0003299124610000124
and Z ismin＜Hj＜ZmaxEquation 17
In the formula 17, HjThe horizontal line varies part of the line height H in a non-linear wayjIn units of cm; zmaxThe height corresponding to the maximum line is equal to the height H of the conductive curvedIn units of cm; zminIs the minimum element line angle thetaminThe corresponding height value is in the unit of cm and is 5-10 cm; j is 0, 1, 2, k is the number of the element lines in the nonlinear variation process of the element line angle, and the value is 4-8.
In the above calculation process, Zmin、Zmax、ZiAnd HjThe units of (A) are converted into centimeters.
S4, three-dimensional drawing of plough body curved surface of high-speed plough
Drawing a guide curve and n horizontal line lines by three-dimensional software based on the plane profile parameter, the guide curve parameter and the line parameter (as shown in a parameter summary table 1); using the lead curve as a section line and the initial element line angle theta0Minimum element line angle thetaminAnd maximum element line angle thetamaxThree corresponding horizontal line lines are used as the guiding lines and the line angles
Figure BDA0003299124610000131
The corresponding horizontal straight line is a ridge line, a curved surface with a lead curve changing along with the straight line is formed by sweeping, and then the front view of the curved surface of the plow body of the high-speed plow is projected onto the curved surface to generate the curved surface of the plow body of the high-speed plow.
The method mainly comprises an envelope curve drawing method and a calculation method.
TABLE 1 summary table of curved surface parameters of high-speed plough body
Figure BDA0003299124610000132
Examples
The curved surface of the plow body of the high-speed plow with the plowing depth a equal to 350mm and the plowing width b equal to 420mm is designed.
The parameters of the curved surface of the plow body of the high-speed plow are calculated by taking the tilling depth and the tilling width of the curved surface of the plow body of the high-speed plow as the reference, and are shown in tables 2 and 3.
TABLE 2 high speed plow body camber parameters
Figure BDA0003299124610000133
Figure BDA0003299124610000141
TABLE 3 lead curve different height of line corresponding angle
Figure BDA0003299124610000142
The data in Table 3 are plotted as a plot of the variation of the wire angle, and the results are shown in FIG. 3.
The specific steps of drawing the plough body curved surface of the high-speed plough by using three-dimensional software by combining the parameters of the plough body curved surface of the high-speed plough in the tables 2 and 3 are as follows: (Note that the forming step of the plow body curved surface of the high-speed plow can be detailed by using UG software drawing as an example) by utilizing the parameters and applying any three-dimensional design software)
Firstly opening UG software, entering a modeling interface and drawing a sketch, drawing a first straight line passing through an origin O on an XOY plane, and taking an included angle between the first straight line and the negative direction of an X axis as an initial element line angle theta 038 °; making a first reference plane perpendicular to the first straight line through the origin O and making a second reference plane parallel to the first reference plane and spaced from the first reference plane by 476.5mm, wherein the first straight line intersects the second reference plane at the point A1As shown in particular in fig. 4a and 4 b. The parameters to be used in the calculation process of the parameters in this step are as follows:
Figure BDA0003299124610000151
the parameter width b of the position parameter L of the lead curve is 420mm, and the overlapping part delta b between the furrow plows is 20 mm.
Clicking a second reference plane to enter a sketch drawing interface to draw a guide curve, and A1Plotting along A for plotting origin1Z1Drawing straight line A in axial direction1B1Straight line A1B1Length of (d) is the height H of the lead curved572 mm; along B1X1Direction drawing straight line B1C1Straight line B1C1The length of the curve is that the opening of the curve is 313 mm; with A1As an origin, a straight line A is drawn1D1Straight line A1D1The length of (A) is a straight line segment length d of 60mm1D1And A1X1The included angle in the axial direction is a lead curve mounting angle epsilon of 30 degrees, and a straight line A1D1The straight line part of the lead curve is obtained; with C1Plotting a first ray, direction and straight line A for the origin1D1Are coincident and are represented by C1Plotting the second ray cross-ray for the origin at point E1Setting < C1E1D1Is tangent angle omega is 110 degrees; using curve segmentation commands to segment a straight line D1E1And a straight line C1E1Equally spaced into 10 segments, each defining a straight line D1E1And a straight line C1E1The 10 points are numbered 1, 2, 3, 10, and are connected with a straight line D in sequence1E1And the straight line C1E1Points with the same upper serial number form an envelope curve of the derivative curve; using the quadratic curve command in UG software, with D1、C1Two points are end points, with F1The points are control points, so that a quadratic curve and an envelope curve of a derivative curve are fitted to form a first envelope curve, namely the first envelope curve is the parabolic part of the derivative curve; by connecting curve commands to make straight line segment A1D1And connecting with the first envelope line to form a lead curve, performing edge rounding treatment on an inflection point of a connecting part in the connecting process, designing the fillet radius to be 2mm, and drawing results as shown in fig. 5a, 5b and 5 c.
Wherein: l ═ Ckb(cosΔε-sinε)＝1.54×420×(cos10°-sin30°)＝313mm
Figure BDA0003299124610000152
Hd＝Chl＝1.83×313mm≈572mm
Figure BDA0003299124610000161
Figure BDA0003299124610000162
2.80＜ChCk＝2.820＜2.847
Calculating the height H of the derivative curvedThe parameters need to be used: constant Ch＝1.83；
Parameters are needed for calculating the opening l of the derivative curve: constant CkThe upturned soil buckling angle delta epsilon of the lead curve is 1.54 degrees;
calculating ChCkThe value range requires the use of parameters: the tilling depth a is 350mm, the first height deviation Δ H is 33mm, and the second height deviation Δ H is 10 mm.
Drawing horizontal line of the curve:
a first horizontal line: the initial primitive line angle corresponds to the horizontal line, which is the first line to begin drawing.
A second horizontal line: minimum element line angle thetaminThe horizontal straight line corresponding to 36 degrees. Drawing process, through reference plane command, with A1Point is the origin, perpendicular to A1Z1A third reference plane of the axis, and a second horizontal line corresponding height Z parallel to the third reference plane and spaced from the third reference planeminA fourth reference plane of 80mm, A1Z1Intersecting the fourth reference plane at point G1: clicking the fourth reference plane to enter the draft drawing interface for drawing the second horizontal line G1As an origin, drawing a line parallel to the straight line B1C1Third ray of (c), intersecting the curve at point H1With H1Drawing a second horizontal line as the origin, the second horizontal line having an angle theta with the negative direction of the X-axisminAnd (4) 36 degrees, the length value of the second horizontal straight line does not influence the drawing of the plough body curved surface, the value of the embodiment is 500mm, and the drawing of the second horizontal straight line is finished.
A third horizontal line: maximum element line angle thetamaxThe horizontal straight line corresponding to 43 degrees. Drawing process, by reference plane command, parallel to the third reference plane and spaced by the corresponding height Z of the third horizontal linemaxA fifth reference plane of 572mm, A1Z1Axis intersects the fifth reference plane at point B1: clicking a fifth reference plane to enter a draft drawing interface to draw a third horizontal line, and B1As origin, along B1C1Direction drawing a fourth ray, intersecting the curve at point C1With C1Drawing a third horizontal line as the origin, the third horizontal line having an angle theta with the negative direction of the X-axis max43 degrees, the length of the third horizontal straight line is 500mm, the third horizontal straight line isAnd completing the drawing of three horizontal line.
A fourth horizontal line: a line angle between the second horizontal line and the third horizontal line
Figure BDA0003299124610000171
Corresponding horizontal line. The fourth horizontal line in this embodiment
Figure BDA0003299124610000172
H332.6 cm. Drawing process, by reference plane command, parallel to the third reference plane and spaced by the corresponding height H of the fourth horizontal line3Sixth reference plane, A, 32.6cm1Z1Axis intersects the fifth reference plane at point I1: clicking the sixth reference plane to enter the draft drawing interface for drawing the fourth horizontal line, with I1Drawing parallel to line B1C1Intersects the curve at point J1To J with1Drawing a fourth horizontal line as the origin, the angle between the fourth horizontal line and the X-axis is
Figure BDA0003299124610000173
The length of the fourth horizontal straight line is 500mm,
and drawing the fourth horizontal line. The horizontal line plots are shown in FIGS. 6a, 6b and 6 c.
The curve is drawn with the change of the horizontal line, the curve is taken as the section curve by the sweep command, the first horizontal line, the second horizontal line and the third horizontal line are taken as the guide curves, the fourth horizontal line is taken as the ridge line, the curve is drawn with the change of the horizontal line, and the curve is extended properly by the curve extension command, and the drawing result is shown in fig. 7a and 7 b.
Drawing a front view of the appearance of the curved surface of the plow body of the high-speed plow, drawing a seventh reference plane vertical to the second reference plane through a reference plane command, wherein the origin of the seventh reference plane is the origin A of the second reference plane1And then drawing with a seventh reference plane by a reference plane commandThe parallel distance between the two reference planes is 300mm, the distance does not affect the drawing result of the curved surface of the high-speed plough body, the value can be changed, and the projection of the main view of the curved surface appearance of the high-speed plough body is mainly facilitated); through the origin A1And making a sixth ray vertical to the eighth reference plane, and intersecting the eighth reference plane with a point A, wherein the point A is the point A of the plane profile diagram of the plough body curved surface of the high-speed plough. Drawing by taking the eighth reference plane as a reference plane and the point A as a drawing origin point, and drawing a plane outline of the curved surface of the plow body of the high-speed plow so as to draw the result as shown in FIG. 8a and FIG. 8 b.
The plane profile of the curved surface of the plow body of the high-speed plow needs to use the parameters: 350mm of ploughing depth a, 420mm of width b, 5mm of shank line deviation delta x, 20mm of overlapping part delta b between ploughshares, 33mm of first height deviation delta H, 15mm of parallel space delta S and width H of ploughshares120mm, 420mm and the maximum height H of the top edge linemax580mm, the line clip angle delta of the wing edge is 56 degrees, and the ploughshare height h is 74 mm.
And projecting the plane contour drawing of the plough body curved surface of the high-speed plough by using the plane contour drawing of the plough body curved surface of the high-speed plough as a projection curve through a projection command, and projecting the projection curve onto the curved surface of the plough body curved surface of the high-speed plough along with the change of the horizontal straight element line to form an appearance curve of the curved surface of the high-speed plough body, wherein the projection direction is the negative direction of the x axis. And trimming the outline curve of the curved surface of the high-speed plough body through a trimming command to obtain a sheet body of the curved surface of the high-speed plough body, finally thickening the sheet body by utilizing a thickening command, setting the thickness to be 8mm, finally obtaining the curved surface of the high-speed plough body, and drawing results are shown in fig. 9, 10a and 10 b.

Claims (4)

1. A parameterization design method for a plough body curved surface of a high-speed plough based on a horizontal straight line method is characterized by comprising the following steps:
s1, determining the parameters of the plane profile of the curved surface of the plow body of the high-speed plow according to the plowing depth a and the plowing width b of the high-speed plow; the parameters of the plane profile include the height H of the tibial edge line, a first height deviation amount delta H and the maximum height H of the top edge linemaxThe line offset distance delta x of the shank, the line clip angle delta of the wing edge, the overlapping part delta b between the ploughshares and the parallel distance delta sAnd the height h of the plough share;
the tibial edge line height H is:
b formula 1
The first height deviation amount delta H is 30-80 mm;
the maximum height H of the top side linemaxComprises the following steps:
Figure FDA0003299124600000011
the included angle delta of the wing sidelines is as follows:
δ ═ arcsin (a/b) equation 3
The height h of the plough share is as follows:
h＝hssinθ0equation 4
In the formulas 1 to 4, the first and second groups,
h is the height of the tibial edge line, and the unit is mm; hmaxThe maximum height of the top sideline is in mm; delta is the wing edge line clip angle, and the unit is mm; h is the height of the plough share, and the unit is mm; a is the tilling depth, the unit is mm, and the value is 350-400 mm; b is the tillage width, the unit is mm, and the value is 400-540 mm; h issThe unit is mm, and the value is 115-135 mm; theta0Is the share cutting edge angle, the unit is DEG, the value is 35-42 DEG;
the line offset distance delta x of the tibial blade is 5-10 mm;
the overlapping part delta b between the furrow plows is 20-70 mm;
the parallel distance delta s is 10-25 mm;
s2, determining the curve guiding parameters of the curved surface of the plow body of the high-speed plow;
the lead curve parameter comprises a lead curve height HdThe method comprises the following steps of (1) guiding curve opening L, guiding curve installation angle epsilon, tangent angle omega, straight line segment length s and guiding curve position L;
the lead curve mounting angle epsilon is 20-30 degrees;
the opening l of the lead curve is as follows:
l＝Ckb (coS. DELTA. epsilon. -sin. epsilon.) equation 5
The tangent angle ω is:
Figure FDA0003299124600000021
height H of the lead curvedComprises the following steps:
Hd＝Chl formula 7
The lead curve position L is as follows:
Figure FDA0003299124600000022
in the formulas 5-8, the first and second groups,
l is the opening of the lead curve, and the unit is mm; omega is a tangent angle, and the unit is DEG; hdThe height of the lead curve is in mm; l is the position of the lead curve and is in mm; delta b is the overlapping part between the furrow plows, the unit is mm, and the value is 20-70 mm; theta0Is the share cutting edge angle, the unit is DEG, the value is 35-42 DEG; ckThe value is a constant and is 1.3-1.8; delta epsilon is a upturned soil buckling angle of a lead curve, and the unit is DEG, and the value is 0-10 DEG; epsilon is a lead curve mounting angle, the unit is DEG, and the value is 20-30 DEG; b is the tillage width, the unit is mm, and the value is 400-540 mm; delta h is a second height deviation amount, the unit is mm, and the value is 10-30 mm; chIs a constant and takes a value of 1.6-2.0;
the length d of the straight line segment is 45-60 mm;
s3, determining the corresponding line parameters of the lead curve;
the line parameters include an initial line angle theta0Minimum element line angle thetaminMaximum element angle thetamaxThe horizontal line linearly changes the partial line angle thetaiThe horizontal line linearly changes the partial line height ZiThe horizontal line varies part of the line angle in a non-linear way
Figure FDA0003299124600000031
And the horizontal line varies part of the line height H in a non-linear wayj；
The initial element line angle theta0(namely the cutting edge angle of the ploughshare) is 35-42 degrees;
the minimum element line angle thetaminAngle theta to initial element line02-4 degrees smaller;
the maximum element line angle thetamaxAngle theta to initial element line05-10 degrees in size;
the horizontal line linearly changes a partial line angle thetaiComprises the following steps:
Figure FDA0003299124600000032
in the formula 11, i is 0, 1, 2, … n, n is the number of element lines in the process of linear change of the element line angle, and the value is 3-5;
the linear variation of the horizontal line element is partially the line element height ZiComprises the following steps:
Figure FDA0003299124600000033
in formula 12, ZiThe corresponding height of the ith straight line is 0, 1, 2, … n, n is the number of the element lines in the process of linear change of the angle of the element lines, and the value is 3-5; zminIs the minimum element line angle thetaminThe corresponding height value is in the unit of cm and is 5-10 cm;
the horizontal line element changes part of the line angle in a non-linear way
Figure FDA0003299124600000034
Comprises the following steps:
Figure FDA0003299124600000035
in formula 13, j is 0, 1, 2, … k, k is the number of element lines in the nonlinear variation process of the element line angle, and the value is 4-8; y ismaxThe maximum height of the straight line in the nonlinear variation process of the angle of the lineDegree variation, calculated according to formula 14, in cm; y isjThe line angle is the height variation of a straight line in the nonlinear variation process, and is obtained by calculation according to a formula 15, and the unit is cm;
Figure FDA0003299124600000041
in formula 14, ZmaxThe height corresponding to the maximum line is equal to the height H of the conductive curvedIn mm;
Figure FDA0003299124600000042
in the formula 15, zjFor each bit line to ZminIs calculated according to equation 16, in mm:
Figure FDA0003299124600000043
in formula 16, j is 0, 1, 2, … k, k is the number of element lines in the nonlinear variation process of the element line angle, and the value is 4-8;
the horizontal line varies part of the line height H in a non-linear wayjComprises the following steps:
Figure FDA0003299124600000044
in the formula 17, HjThe horizontal line varies part of the line height H in a non-linear wayjIn units of cm; zmaxThe height corresponding to the maximum line is equal to the height H of the conductive curvedIn units of cm; zminIs the minimum element line angle thetaminThe corresponding height value is in the unit of cm and is 5-10 cm; j is 0, 1, 2, … k, k is the number of element lines in the nonlinear variation process of the element line angle, and the value is 4-8;
s4, three-dimensional drawing of the plough body curved surface of the high-speed plough;
drawing a guide curve and n horizontal line lines by three-dimensional software based on the plane profile parameter, the guide curve parameter and the line element parameter; using the lead curve as a section line and the initial element line angle theta0Minimum element line angle thetaminAnd maximum element line angle thetamaxThree corresponding horizontal line lines are used as the guiding lines and the line angles
Figure FDA0003299124600000045
The corresponding horizontal straight line is a ridge line, a curved surface with a lead curve changing along with the straight line is formed by sweeping, and then the front view of the curved surface of the plow body of the high-speed plow is projected onto the curved surface to generate the curved surface of the plow body of the high-speed plow.
2. The parametric design method for the plough body curved surface of the high-speed plough based on the horizontal straight line method as claimed in claim 1, wherein in the step S2, the values of the parameters of the derivative curve satisfy the following formula 9:
H＜Hmax-Δh＜Hd＜Hmaxequation 9
Wherein H is the height of the tibial cutting edge line and the unit is mm; hmax is the maximum height of the top sideline, and the unit is mm; hdThe height of the lead curve is in mm; Δ h is the second height deviation in mm.
3. The parametric design method for the curved surface of the plow body of the high-speed plow based on the horizontal linear method as claimed in claim 1, wherein in the step S2, the constant C is setkAnd ChThe product of the values of (a) must satisfy equation 10:
Figure FDA0003299124600000051
in the formula, a is the tilling depth and the unit is mm; b is the tillage width in mm; Δ H is a first height deviation in mm; Δ h is a second height deviation in mm; delta epsilon is the upturned angle of the lead curve, and the unit is DEG; epsilon is the lead curve mounting angle in degrees.
4. The parametric design method for the curved surface of the plow body of the high-speed plow based on the horizontal straight line method as claimed in claim 1, wherein in the step S4, the drawing mode of the derivative curve comprises an envelope curve drawing method and a calculation method.
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CN109308401A (en) * 2018-11-02 2019-02-05 昆明理工大学 A kind of agricultural machinery and implement soil-engaging component bionic curved surface structure and its construction method based on reverse Engineering Technology
CN110069900A (en) * 2019-06-10 2019-07-30 山东理工大学 A kind of Plow Bottom Surface Design method of turn plow on the spot
CN112001045A (en) * 2020-08-14 2020-11-27 塔里木大学 High-speed turnover plow suitable for sand and curved surface design method thereof

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* Cited by examiner, † Cited by third party
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JP2005276156A (en) * 2004-02-27 2005-10-06 Thk Co Ltd Numerical control method and device
CN1632802A (en) * 2004-12-27 2005-06-29 南京农业大学 Computer-aided design method for plow bottom surface
US20080262988A1 (en) * 2007-04-20 2008-10-23 Mark Williams Vertical curve system for surface grading
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CN109308401A (en) * 2018-11-02 2019-02-05 昆明理工大学 A kind of agricultural machinery and implement soil-engaging component bionic curved surface structure and its construction method based on reverse Engineering Technology
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