CN109871662A - The design method of high polymer elastic element buffer curved surface partition inner sunken face - Google Patents
The design method of high polymer elastic element buffer curved surface partition inner sunken face Download PDFInfo
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Abstract
The design method of high polymer elastic element buffer curved surface partition inner sunken face, the inner sunken face of curved surface partition is that the face formed is rotated by inner concave curve, and design method includes the basic outer profile curve design of curved surface partition vertical section indent and corrects to the basic outer profile curve of curved surface partition vertical section indent；It is compared with high polymer elastic element vertical section basis outer profile curve with the intermediate curve section of the loaded deformed vertical section outer profile curve of high polymer elastic element gone out with planar septum high polymer elastic element buffer physical simulation, design basis outer profile curve；Curved surface partition basis outer profile curve is corrected with the high polymer elastic element outer profile curve that physical simulation goes out is carried out to curved surface partition high polymer elastic element buffer, obtains the partition curved section in the outer profile curve of partition vertical section.Beneficial effect is: increasing the later period rigidity of buffer, can increase frictional dissipation, improves S. E. A..
Description
Technical field
The invention belongs to mechanical engineering technical field more particularly to vibration damping and the mechanical equipment impacted is mitigated, in particular to
The design method of hitch macromolecular elastomer element buffer partition used for rolling stock.
Background technique
Macromolecule (TPEE) elastomeric bumpers anti-aging property is good, is lower than rubber to the quick of temperature to the sensibility of temperature
Perception, absorption vibration ability is strong, and stable buffering, performance are stablized；Maximum resistance is higher；Capacity is larger；Absorptivity is suitable；Reliably
Property it is high；Temperature applicable range is wide.However, the absorptivity of this buffer 70% or so, is not able to satisfy modern locomotive vehicle pair
The requirement of buffer high-energy absorption rate.
" high polymer elastic element combines buffering with metal friction element to the patent of invention of Patent No. 201510736219.2
Device ", patent of invention " polygon shell high polymer elastic element and the metal friction element group of Patent No. 201510737700.3
" high polymer elastic element combines buffering with wedge mechanism for conjunction buffer " and the patent of invention of Patent No. 201610868232.8
The S. E. A. of device ", these buffers is higher than other macromolecular elastomer buffers, thus performance is more excellent.
However, the deficiencies in the prior art are；For macromolecule to be isolated used by all macromolecular elastomer buffers
The shape of the partition of elastomer element is all circular flat partition.There is no limit macromolecular elastomer elements radially to become for this kind of partition
The function of shape keeps the raising of the S. E. A. of buffer limited.In order to improve the deficiencies in the prior art, designing one kind both had
The effect of macromolecular elastomer element is isolated, also having the partition of limitation macromolecular elastomer element radial deformation effect is ability
The domain technical issues that need to address.
Summary of the invention
The purpose of the present invention is to provide a kind of setting for the inner concave curve of high polymer elastic element buffer curved surface partition
Meter method.
The technical scheme is that design method of the high polymer elastic element buffer with curved surface partition inner sunken face,
The inner sunken face of curved surface partition is that the face formed is rotated by inner concave curve, it is characterised in that: the design of the inner sunken face is to set
Count the indent outer profile curve in curved surface partition vertical section；The indent outer profile curve method in the design curved surface partition vertical section includes song
The basic indent outer profile curve in face partition vertical section is designed and is corrected to the basic indent outer profile curve in curved surface partition vertical section；Institute
State curved surface partition vertical section basic indent outer profile curve design the following steps are included:
1) according to outside the basic indent in high polymer elastic element vertical section original outer profile curve design curved surface partition vertical section
Wide curve first measures the original outer profile curve of high polymer elastic element, and according to the original outer profile curve of high polymer elastic element of measurement
The vertical section of high polymer elastic element is made, the original outer profile curve in the vertical section of high polymer elastic element is with high polymer elastic
Element vertical section vertical center line bilateral symmetry, with high polymer elastic element vertical section horizontal center line curve symmetrical above and below,
Using the curve of lower right side as high polymer elastic cell curve, unit curve by one section of high polymer elastic element vertical section outside
The intermediate curve section and one section of high polymer elastic member of the straightway of wide curve, one section of high polymer elastic element vertical section outer profile curve
The end curved section of part vertical section outer profile curve is constituted, straightway one end of high polymer elastic element vertical section outer profile curve and height
Intermediate curve section one end of molecular flexibility element vertical section outer profile curve is connected, high polymer elastic element vertical section outer profile curve
The intermediate curve section other end is connected with the end curved section of high polymer elastic element vertical section outer profile curve, takes high polymer elastic first
The straightway and high polymer elastic element of the high polymer elastic element vertical section outer profile curve of the unit curve of part profilograph are vertical
The intermediate curve section of section outer profile curve is the basic indent outer profile curve in curved surface partition vertical section, i.e. curved surface partition vertical section
Basic indent outer profile curve includes partition straightway and partition curved section, partition straightway and partition curved section and high polymer elastic
The straightway and high polymer elastic element vertical profile of the high polymer elastic element vertical section outer profile curve of element vertical section unit curve
The intermediate curve section of face outer profile curve is corresponding；
2) on curved surface partition profilograph, it is straight that plane with partition curved section tie point is established as origin using partition straightway
The partition curved section is fitted to power function curve with curve-fitting method by angular coordinate system, and the equation of power function is
In formula, y is ordinate, and x is abscissa, and k is equation coefficient, the height H and partition curved section with partition curved section
Length L it is related, m0It is index, it is related to the physical parameter of high polymer elastic element；With power function curve
For partition curved section；
The basic indent outer profile curve amendment to curved surface partition vertical section the following steps are included:
3) it is built on computers with the high polymer elastic element and planar septum that measure high polymer elastic element outer profile curve
Vertical high polymer elastic element buffer threedimensional model carries out high polymer elastic element buffer threedimensional model using FInite Element
Actual condition physical simulation obtains the loaded deformed outer profile curve of high polymer elastic element, make high polymer elastic element by
Vertical section outer profile curve after deforming is carried, in unit curve region, in after high polymer elastic element straightway and loaded deformation
Half interval contour section tie point is that origin establishes plane right-angle coordinate, is obtained to the intermediate curve section in unit curve with curve-fitting method
To the power function curve of deformed intermediate curve section, the equation of power function is
In formula, y1And x1For ordinate and abscissa, k1It is intermediate bent after equation coefficient, with high polymer elastic deformed element
The height H of line segment1With the length L of intermediate curve section after deformation1Correlation, m1It is index, the physical parameter with high polymer elastic element
It is related；
With
For partition curved section, the curve that one end is connected with straightway is exactly compareing for curved surface partition vertical section inner concave curve
Indent outer profile curve；
4) according to the basic indent outer profile curve in curved surface partition vertical section and control indent outer profile curve, if partition curved section
The equation of first time fair curve be
In formula,
m2=(m0+m1)/j, j=1.25~2
H>H2>H1；
L1>L2>L；
y2And x2It is ordinate and abscissa, k respectively2Height H for equation coefficient, with the fair curve of partition curved section2
With the length L of the fair curve of partition curved section2Correlation, m2It is index, it is related to the physical parameter of high polymer elastic element；H1
For the curved section height of control curve, H2For the height of partition first time fair curve section, H is the height of the curved section of basic curve
Degree, L1For the curve segment length of control curve, L2For the length of partition first time fair curve section, L is the curved section of basic curve
Length, j be index replacement coefficient.
With
For partition curved section, the curve that one end is connected with straightway is exactly to correct curved surface partition vertical section indent for the first time
The amendment indent outer profile curve of curve；
To second of curved surface partition vertical section amendment to n-th amendment the following steps are included:
5) on computers with the curved surface partition threedimensional model and macromolecule that modified indent outer profile curve is established for the first time
Elastic element three-dimension modeling emulates curved surface partition high polymer elastic element buffer threedimensional model, with FInite Element to emulation
Curved surface partition high polymer elastic element buffer threedimensional model carry out actual condition physical simulation, obtain high polymer elastic element by
Deformed outer profile curve is carried, the centre after the loaded deformation of high polymer elastic element in the unit curve of vertical section outer profile curve is taken
Curved section is control curve, in unit curve region, with straightway and intermediate curve after the loaded deformation of high polymer elastic element
Section tie point is that origin establishes plane right-angle coordinate, is power function curve by curve matching control curve in a coordinate system,
The equation of power function is
In formula,
H>H3>H2；
L2>L3>L；
y3And x3It is ordinate and abscissa, k respectively3For gabarit after equation coefficient, with the loaded deformation of high polymer elastic element
The height H of the intermediate curve of curve3With the length L of the intermediate curve of outer profile curve after the loaded deformation of high polymer elastic element3Phase
It closes, m3It is index, it is related to the physical parameter of high polymer elastic element.
According to the control curve equation in vertical section outer profile curve after the loaded deformation of high polymer elastic element
Correct the first time fair curve equation of partition curved section
Obtain second of fair curve equation of partition curved section
m4=(m2+m3)/j, j=1.25~2
H>H4>H3；
L3>L4>L；
y4And x4It is ordinate and abscissa respectively, k4 is equation coefficient, the height H with the fair curve of partition curved section4
With the length L of the fair curve of partition curved section4Correlation, m4It is index, it is related to the physical parameter of high polymer elastic element；J is
Index replacement coefficient；
6) respectively with the curved surface partition threedimensional model of second of fair curve equation to n-th fair curve establishing equation and
High polymer elastic element three-dimension modeling emulates curved surface partition high polymer elastic element buffer threedimensional model, repeats step 5)
With FInite Element to emulation curved surface partition high polymer elastic element buffer threedimensional model carry out actual condition physical simulation after
Operation, n times are corrected to the fair curve equation of partition curved section, until the fair curve of partition curved section and high polymer elastic member
The intermediate curve section of the loaded deformed vertical section outer profile curve of part reaches the registration accuracy of design code, obtains partition curved section
Final curves equation
In formula
m2n=(m2n-2+m2n-1)/j, j=1.25~2
H>H2n>H2n-1
L2n-1>L2n>L
y2nAnd x2nIt is ordinate and abscissa, k respectively2nHeight for equation coefficient, with the fair curve of partition curved section
H2nWith the length L of the fair curve of partition curved section2nCorrelation, m2nIt is index, the physical parameter phase with high polymer elastic element
It closes；J is index replacement coefficient, and n is times of revision, is greater than the positive integer equal to 1；
7) curve being connected to form using the final curves of partition curved section and straight line is the indent in curved surface partition vertical section
Outer profile curve rotates a circle the indent outer profile curve in curved surface partition vertical section using the center line in curved surface partition vertical section as axis,
Obtain the inner sunken face of curved surface partition.
The beneficial effects of the present invention are: this curved surface partition of design is the work with isolation macromolecular elastomer element
With also having the function of limiting macromolecular elastomer element radial deformation, increase later period rigidity of the buffer under high-impact
Add, while can also increase the frictional dissipation between curved surface partition and macromolecular elastomer element, makes the S. E. A. of buffer
It improves.
Detailed description of the invention
Fig. 1 is the outline shape to form the surfaces of revolution of high polymer elastic element rotary body of high polymer elastic element buffer
And its schematic diagram of the coordinate system of intermediate curve section.
Fig. 2 is to carry out high score calculated by physical simulation to the buffer of planar septum and high polymer elastic element composition
The loaded deformed outer profile curve of elastic element and intermediate curve section schematic diagram.
Fig. 3 is revised curved surface partition inner surface curved section curve synoptic diagram.
Fig. 4 is imitative for outline shape curve, the planar septum high polymer elastic element buffer physics of high polymer elastic element
The loaded deformed outer profile curve of high polymer elastic element, the n-th curved surface partition high polymer elastic element buffer object really gone out
Manage the loaded deformed outer profile curve of high polymer elastic element and revised curved surface partition inner surface intermediate curve simulated
Section contrast schematic diagram.
Fig. 5 is to be shown according to the another form of curved surface partition that revised curved surface partition inner surface intermediate curve section designs
It is intended to.
In figure, 1, the original vertical section outer profile curve of high polymer elastic element, 2, planar septum high polymer elastic element buffering
Implements manage the loaded deformed vertical section outer profile curve of high polymer elastic element simulated, 3, n-th curved surface partition macromolecule
The loaded deformed vertical section outer profile curve of high polymer elastic element that elastic element buffer physical simulation goes out, 4, curved surface partition
Partition curved section final curves, 5, the straightway of high polymer elastic element vertical section outer profile curve connect with intermediate curve section
Point, 6, the end curved section and intermediate curve section tie point of high polymer elastic element vertical section outer profile curve, 7, high polymer elastic
The vertex of element vertical section outer profile curve, 8, the straightway of high polymer elastic element vertical section outer profile curve, 9, high polymer elastic
The intermediate curve section of element vertical section outer profile curve, 10, the end curved section of high polymer elastic element vertical section outer profile curve.
Specific embodiment
Below in conjunction with the drawings and specific embodiments, the invention will be further described.
The design method of high polymer elastic element buffer curved surface partition inner sunken face, the inner sunken face of curved surface partition are
The face formed is rotated by inner concave curve, it is characterised in that: the design of the inner sunken face is the interior of design curved surface partition vertical section
Recessed outer profile curve；The indent outer profile curve method in the design curved surface partition vertical section includes in the basis in curved surface partition vertical section
Recessed outer profile curve is designed and is corrected to the basic indent outer profile curve in curved surface partition vertical section；The base in curved surface partition vertical section
Plinth indent outer profile curve design the following steps are included:
1) according to outside the basic indent in high polymer elastic element vertical section original outer profile curve design curved surface partition vertical section
Wide curve first measures the original outer profile curve of high polymer elastic element, and according to the original outer profile curve of high polymer elastic element of measurement
The vertical section of high polymer elastic element is made, the original outer profile curve in the vertical section of high polymer elastic element is with high polymer elastic
Element vertical section vertical center line bilateral symmetry, with high polymer elastic element vertical section horizontal center line curve symmetrical above and below,
Using the curve of lower right side as high polymer elastic cell curve, unit curve by one section of high polymer elastic element vertical section outside
The intermediate curve section 9 and one section of high polymer elastic of 8, one sections of high polymer elastic element vertical section outer profile curves of straightway of wide curve
The end curved section 10 of element vertical section outer profile curve is constituted, the straightway 8 one of high polymer elastic element vertical section outer profile curve
End is connected with 9 one end of intermediate curve section of high polymer elastic element vertical section outer profile curve, the intermediate curve section other end and high score
The end curved section 10 of elastic element vertical section outer profile curve is connected, and takes the unit curve of high polymer elastic element profilograph
High polymer elastic element vertical section outer profile curve straightway 8 and high polymer elastic element vertical section outer profile curve it is intermediate bent
Line segment 9 is the basic indent outer profile curve in curved surface partition vertical section, the i.e. basic indent outer profile curve packet in curved surface partition vertical section
Include partition straightway and partition curved section, partition straightway and partition curved section and high polymer elastic element vertical section unit curve
High polymer elastic element vertical section outer profile curve straightway 8 and high polymer elastic element vertical section outer profile curve it is intermediate bent
Line segment 9 is corresponding；
2) on curved surface partition profilograph, it is straight that plane with partition curved section tie point is established as origin using partition straightway
The partition curved section is fitted to power function curve with curve-fitting method by angular coordinate system, and the equation of power function is
In formula, y is ordinate, and x is abscissa, and k is equation coefficient, the height H and partition curved section with partition curved section
Length L it is related, m0It is index, it is related to the physical parameter of high polymer elastic element；With power function curve
For partition curved section；
The basic indent outer profile curve amendment to curved surface partition vertical section the following steps are included:
3) it is built on computers with the high polymer elastic element and planar septum that measure high polymer elastic element outer profile curve
Vertical high polymer elastic element buffer threedimensional model carries out high polymer elastic element buffer threedimensional model using FInite Element
Actual condition physical simulation obtains the loaded deformed outer profile curve of high polymer elastic element, make high polymer elastic element by
Vertical section outer profile curve 2 after deforming is carried, in unit curve region, in after high polymer elastic element straightway and loaded deformation
Half interval contour section tie point 5 is that origin establishes plane right-angle coordinate, to the intermediate curve section curve-fitting method in unit curve
The power function curve of deformed intermediate curve section is obtained, the equation of power function is
In formula, y1And x1For ordinate and abscissa, k1It is intermediate bent after equation coefficient, with high polymer elastic deformed element
The height H of line segment1With the length L of intermediate curve section after deformation1Correlation, m1It is index, the physical parameter with high polymer elastic element
It is related；
With
For partition curved section, the curve that one end is connected with straightway is exactly compareing for curved surface partition vertical section inner concave curve
Indent outer profile curve；
4) according to the basic indent outer profile curve in curved surface partition vertical section and control indent outer profile curve, if partition curved section
The equation of first time fair curve be
In formula,
m2=(m0+m1)/j, j=1.25~2
H>H2>H1；
L1>L2>L；
y2And x2It is ordinate and abscissa, k respectively2Height H for equation coefficient, with the fair curve of partition curved section2
With the length L of the fair curve of partition curved section2Correlation, m2It is index, it is related to the physical parameter of high polymer elastic element；H1
For the curved section height of control curve, H2For the height of partition first time fair curve section, H is the height of the curved section of basic curve
Degree, L1For the curve segment length of control curve, L2For the length of partition first time fair curve section, L is the curved section of basic curve
Length, j be index replacement coefficient.
With
For partition curved section, the curve that one end is connected with straightway is exactly to correct curved surface partition vertical section indent for the first time
The amendment indent outer profile curve of curve；
To second of curved surface partition vertical section amendment to n-th amendment the following steps are included:
5) on computers with the curved surface partition threedimensional model and macromolecule that modified indent outer profile curve is established for the first time
Elastic element three-dimension modeling emulates curved surface partition high polymer elastic element buffer threedimensional model, with FInite Element to emulation
Curved surface partition high polymer elastic element buffer threedimensional model carry out actual condition physical simulation, obtain high polymer elastic element by
Deformed outer profile curve is carried, the centre after the loaded deformation of high polymer elastic element in the unit curve of vertical section outer profile curve is taken
Curved section is control curve, in unit curve region, with straightway and intermediate curve after the loaded deformation of high polymer elastic element
Section tie point is that origin establishes plane right-angle coordinate, is power function curve by curve matching control curve in a coordinate system,
The equation of power function is
In formula,
H>H3>H2；
L2>L3>L；
y3And x3It is ordinate and abscissa, k respectively3For gabarit after equation coefficient, with the loaded deformation of high polymer elastic element
The height H of the intermediate curve of curve3With the length L of the intermediate curve of outer profile curve after the loaded deformation of high polymer elastic element3Phase
It closes, m3It is index, it is related to the physical parameter of high polymer elastic element.
According to the control curve equation in vertical section outer profile curve after the loaded deformation of high polymer elastic element
Correct the first time fair curve equation of partition curved section
Obtain second of fair curve equation of partition curved section
m4=(m2+m3)/j, j=1.25~2
H>H4>H3；
L3>L4>L；
y4And x4It is ordinate and abscissa, k respectively4Height H for equation coefficient, with the fair curve of partition curved section4
With the length L of the fair curve of partition curved section4Correlation, m4It is index, it is related to the physical parameter of high polymer elastic element；J is
Index replacement coefficient；
6) respectively with the curved surface partition threedimensional model of second of fair curve equation to n-th fair curve establishing equation and
High polymer elastic element three-dimension modeling emulates curved surface partition high polymer elastic element buffer threedimensional model, repeats step 5)
With FInite Element to emulation curved surface partition high polymer elastic element buffer threedimensional model carry out actual condition physical simulation after
Operation, n times are corrected to the fair curve equation of partition curved section, until the fair curve of partition curved section and high polymer elastic member
The intermediate curve section of the loaded deformed vertical section outer profile curve of part reaches the registration accuracy of design code, obtains partition curved section most
Whole curvilinear equation
In formula
m2n=(m2n-2+m2n-1)/j, j=1.25~2
H>H2n>H2n-1
L2n-1>L2n>L
y2nAnd x2nIt is ordinate and abscissa, k respectively2nHeight for equation coefficient, with the fair curve of partition curved section
H2nWith the length L of the fair curve of partition curved section2nCorrelation, m2nIt is index, the physical parameter phase with high polymer elastic element
It closes；J is index replacement coefficient, and n is times of revision, is greater than the positive integer equal to 1；
7) curve being connected to form using the final curves of partition curved section and straight line is the indent in curved surface partition vertical section
Outer profile curve rotates a circle the indent outer profile curve in curved surface partition vertical section using the center line in curved surface partition vertical section as axis,
Obtain the inner sunken face of curved surface partition.
Embodiment:
The original outer profile curve of high polymer elastic element is measured, and is made according to the original outer profile curve of the high polymer elastic element of measurement
The vertical section of high polymer elastic element out, the exradius b for measuring the vertical section of high polymer elastic element is 77mm；Thickness 2c
=45mm；The length of straightway is 43mm；The radical length of end curved section is 3mm；The length of intermediate curve section is 31mm；In
The height H of half interval contour section is 10.5mm；The equation of intermediate curve section is obtained by curve matching are as follows:
In formula, k7=0.0019624, m7=2.5.
With the straightway 8 of the high polymer elastic element vertical section outer profile curve of high polymer elastic element vertical section unit curve
Intermediate curve section 9 with high polymer elastic element vertical section outer profile curve is that the basic indent gabarit in curved surface partition vertical section is bent
Line carries out three-dimensional modeling to high polymer elastic element according to the outer profile curve of measured high polymer elastic element, according to macromolecule
Basic material performance parameter and material compression experiment stress-strain relation obtained of elastic element etc., using FInite Element pair
Planar septum high polymer elastic element buffer carries out physical simulation, and emulation operating condition is to apply axial load to buffer
2213KN finds out the loaded deformed outer profile curve of high polymer elastic element；By to the centre in deformed outer profile curve
Curved section carries out curve fitting to obtain the equation of the intermediate curve in deformed outer profile curve are as follows:
In formula, k8=1.51868E-12, m8=8.
Compare the equation 7 of the partition curve of the basic indent outer profile curve in curved surface partition vertical section and high with planar septum
The intermediate curve section equation 8 of the loaded deformed outer profile curve of molecular flexibility element buffer, with reference to worry " TPEE buffer
Service testing outline " requirement to high polymer elastic element outer diameter size, it designs curved surface partition and is connect with high polymer elastic element
The equation of the partition curved section of the inner surface outer profile curve of touching are as follows:
In formula, k9=3.08874E-09, m9=6.
Physical simulation is carried out to curved surface partition high polymer elastic element buffer using FInite Element, emulation operating condition is to slow
It rushes device and applies axial load 2213KN, according to the intermediate curve section of the loaded deformed simulation result curve of high polymer elastic element
The partition curved section of curved surface partition is modified, according to surface of degree n partition high polymer elastic element buffer physical simulation
As a result, the partition curved section curvilinear equation for the curved surface partition contacted with high polymer elastic element that amendment obtains repeatedly are as follows:
In formula, k10=1.71296E-06, m10=13/3.
It is exactly curved surface partition vertical section indent exterior feature curve by the curve that the partition curved section of equation 10 is connected with straightway.
It is rotated a circle with this curve to get the inner sunken face of curved surface partition.It is radial that this curved surface partition can limit macromolecular elastomer element
The buffer of deformation, composition has more preferable load and displacement curve relationship than existing elastomeric bumpers；This curved surface partition is double
Face indent symmetroid partition, centre bore inner radius is with a thickness of 8mm, with a thickness of 18mm at outer diameter；Outside the concave surface of partition
Diameter is equal to 171mm.
Claims (1)
1. the high polymer elastic element buffer design method of curved surface partition inner sunken face, the inner sunken face of curved surface partition be by
Inner concave curve rotates the face to be formed, it is characterised in that: the design of the inner sunken face is to design the indent in curved surface partition vertical section
Outer profile curve；The indent outer profile curve method in the design curved surface partition vertical section includes the basic indent in curved surface partition vertical section
Outer profile curve is designed and is corrected to the basic indent outer profile curve in curved surface partition vertical section；The basis in curved surface partition vertical section
Indent outer profile curve design the following steps are included:
1) the basic indent gabarit according to high polymer elastic element vertical section original outer profile curve design curved surface partition vertical section is bent
Line first measures the original outer profile curve of high polymer elastic element, and makes according to the original outer profile curve of high polymer elastic element of measurement
The vertical section of high polymer elastic element, the original outer profile curve in the vertical section of high polymer elastic element are with high polymer elastic element
Vertical section vertical center line bilateral symmetry, with high polymer elastic element vertical section horizontal center line curve symmetrical above and below, with the right side
The curve of side lower part is high polymer elastic cell curve, and unit curve is by one end high polymer elastic element vertical section gabarit song
The intermediate curve section (9) and one section of high polymer elastic of the straightway (8) of line, one section of high polymer elastic element vertical section outer profile curve
The end curved section (10) of element vertical section outer profile curve is constituted, the straightway of high polymer elastic element vertical section outer profile curve
(8) one end is connected with intermediate curve section (9) one end of high polymer elastic element vertical section outer profile curve, and high polymer elastic element is vertical
Intermediate curve section (9) other end of section outer profile curve and the end curved section of high polymer elastic element vertical section outer profile curve
(10) it is connected, takes the straight of the high polymer elastic element vertical section outer profile curve of the unit curve of high polymer elastic element profilograph
The intermediate curve section (9) of line segment (8) and high polymer elastic element vertical section outer profile curve is in the basis in curved surface partition vertical section
The basic indent outer profile curve of recessed outer profile curve, i.e. curved surface partition vertical section includes partition straightway and partition curved section, partition
The high polymer elastic element vertical section gabarit of straightway and partition curved section and high polymer elastic element vertical section unit curve is bent
The straightway (8) of line and the intermediate curve section (9) of high polymer elastic element vertical section outer profile curve are corresponding；
2) on curved surface partition profilograph, flat square is established as origin using partition straightway and partition curved section tie point and is sat
Mark system, is fitted to power function curve for the partition curved section with curve-fitting method, the equation of power function is
In formula, y is ordinate, and x is abscissa, and k is equation coefficient, with the height H of partition curved section and the length of partition curved section
It is related to spend L, m0It is index, it is related to the physical parameter of high polymer elastic element；With power function curve
For partition curved section；
The basic indent outer profile curve amendment to curved surface partition vertical section the following steps are included:
3) it is established on computers with the high polymer elastic element and planar septum that measure high polymer elastic element outer profile curve high
Molecular flexibility element buffer threedimensional model carries out high polymer elastic element buffer threedimensional model using FInite Element practical
Operating condition physical simulation obtains the loaded deformed outer profile curve of high polymer elastic element, makes the loaded change of high polymer elastic element
Vertical section outer profile curve after shape, in unit curve region, with intermediate bent after high polymer elastic element straightway and loaded deformation
Line segment tie point is that origin establishes plane right-angle coordinate, is become to the intermediate curve section in unit curve with curve-fitting method
The power function curve of intermediate curve section after shape, the equation of power function are
In formula, y1And x1For ordinate and abscissa, k1For intermediate curve section after equation coefficient, with high polymer elastic deformed element
Height H1With the length L of intermediate curve section after deformation1Correlation, m1It is index, the physical parameter phase with high polymer elastic element
It closes；
With
For partition curved section, one end and the curve that straightway is connected are exactly that curved surface partition vertical section inner concave curve compares indent
Outer profile curve；
4) according to the basic indent outer profile curve in curved surface partition vertical section and control indent outer profile curve, if the of partition curved section
The equation of fair curve is
In formula,
m2=(m0+m1)/j, j=1.25~2
H>H2>H1；
L1>L2>L；
y2And x2It is ordinate and abscissa, k respectively2Height H for equation coefficient, with the fair curve of partition curved section2With every
The length L of the fair curve of piece curved section2Correlation, m2It is index, it is related to the physical parameter of high polymer elastic element；H1It is right
According to the curved section height of curve, H2For the height of partition first time fair curve section, H is the height of the curved section of basic curve, L1
For the curve segment length of control curve, L2For the length of partition first time fair curve section, L is the length of the curved section of basic curve
Degree, j are index replacement coefficient.
WithFor partition curved section, the curve that one end is connected with straightway is just
It is the amendment indent outer profile curve for correcting curved surface partition vertical section inner concave curve for the first time；
To second of curved surface partition vertical section amendment to n-th amendment the following steps are included:
5) on computers with the curved surface partition threedimensional model and high polymer elastic that modified indent outer profile curve is established for the first time
Element three-dimension modeling emulates curved surface partition high polymer elastic element buffer threedimensional model, with FInite Element to emulation curved surface
Partition high polymer elastic element buffer threedimensional model carries out actual condition physical simulation, obtains the loaded change of high polymer elastic element
Outer profile curve after shape takes the intermediate curve after the loaded deformation of high polymer elastic element in the unit curve of vertical section outer profile curve
Section is control curve, in unit curve region, with straightway after the loaded deformation of high polymer elastic element and intermediate curve Duan Lian
Contact is that origin establishes plane right-angle coordinate, is power function curve, power letter by curve matching control curve in a coordinate system
Several equations are
In formula,
H>H3>H2；
L2>L3>L；
y3And x3It is ordinate and abscissa, k respectively3For outer profile curve after equation coefficient, with the loaded deformation of high polymer elastic element
Intermediate curve height H3With the length L of the intermediate curve of outer profile curve after the loaded deformation of high polymer elastic element3Correlation, m3
It is index, it is related to the physical parameter of high polymer elastic element.
According to the control curve equation in vertical section outer profile curve after the loaded deformation of high polymer elastic element
Correct the first time fair curve equation of partition curved section
Obtain second of fair curve equation of partition curved section
m4=(m2+m3)/j, j=1.25~2
H>H4>H3；
L3>L4>L；
y4And x4It is ordinate and abscissa, k respectively4Height H for equation coefficient, with the fair curve of partition curved section4With every
The length L of the fair curve of piece curved section4Correlation, m4It is index, it is related to the physical parameter of high polymer elastic element；J is index
Regulation coefficient；
6) respectively with the curved surface partition threedimensional model and high score of second of fair curve equation to n-th fair curve establishing equation
Elastic element three-dimension modeling emulates curved surface partition high polymer elastic element buffer threedimensional model, repeats the use of step 5)
FInite Element carries out the behaviour after actual condition physical simulation to emulation curved surface partition high polymer elastic element buffer threedimensional model
Make, n times corrected to the fair curve equation of partition curved section, until the fair curve of partition curved section and high polymer elastic element by
The intermediate curve section for carrying deformed vertical section outer profile curve reaches the registration accuracy of design code, obtains the final of partition curved section
Curvilinear equation
In formula
m2n=(m2n-2+m2n-1)/j, j=1.25~2
H>H2n>H2n-1
L2n-1>L2n>L
y2nAnd x2nIt is ordinate and abscissa, k respectively2nHeight H for equation coefficient, with the fair curve of partition curved section2nWith
The length L of the fair curve of partition curved section2nCorrelation, m2nIt is index, it is related to the physical parameter of high polymer elastic element；J is
Index replacement coefficient, n are times of revision, are greater than the positive integer equal to 1；
7) curve being connected to form using the final curves of partition curved section and straight line is the indent gabarit in curved surface partition vertical section
The indent outer profile curve in curved surface partition vertical section is rotated a circle, is obtained using the center line in curved surface partition vertical section as axis by curve
The inner sunken face of curved surface partition.
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