Geometric parametric modeling method for radial aircraft tire

Abstract

The geometric parameterized modeling method of a radial aircraft tire relates to the technical field of aircraft tire design, and solves the problem that the existing tire geometry drawing is complicated and time-consuming. The method is: according to the maximum diameter of the tire, the maximum width of the tire section, the rim diameter, the airtight layer thickness, the sidewall thickness, the bead taper, the ratio of the hub width to the tire section width, the tread thickness, the transverse thickness of the bead heel, the longitudinal thickness of the bead heel, the thickness of the reinforcement layer, the diameter of the wire ring, the thickness of the carcass cord layer, the thickness of the belt layer, the transverse distance between the apex of the rubber and the center of the wire ring, and the longitudinal distance between the apex of the rubber and the center of the wire ring, a three-dimensional model of the radial aircraft tire is established. The present invention can quickly and accurately establish the geometric model of the radial aircraft tire through 16 geometric information parameters, thereby shortening the research and development cycle of the radial aircraft tire and promoting the improvement of the ability of the independent design of the radial aircraft tire.

Description

Technical Field

[0001] The invention relates to the field of aircraft tire design, and in particular to a method for geometric parameterized modeling of a radial aircraft tire. Background Art

[0002] Aircraft tires are known as the "crown jewel" of the tire industry. Foreign tires can fly 250 times, while domestic tires can only fly 50 times. And domestic tires only account for 5% of the domestic market. Therefore, it is necessary to break through the technical barriers of foreign aircraft tires as soon as possible and improve independent design capabilities. The emergence of radial aircraft tires not only opens up a new development direction, but will also be a milestone in the development of aircraft tire technology. Compared with bias tires, radial tires have the advantages of low heat generation, long service life, low tire weight, high tire retreading rate and low operating cost. However, due to the low radial rigidity and large load sinking of radial aircraft tires, the lateral stability of the tires is poor. Such shortcomings make the design of radial aircraft tires more difficult, so that the widespread application of radial tires is much slower than expected.

[0003] Digital technology plays an extremely important role in modern tire R&D and design, and runs through the entire development cycle of tires from design to production. However, radial aircraft tires themselves have complex structures and numerous details, and it takes a lot of time to establish their geometric models. Therefore, it is urgent to invent a radial aircraft tire geometric parameter modeling method that can quickly and accurately establish the geometric model of radial aircraft tires, thereby shortening the research and development cycle of radial aircraft tires and promoting the improvement of the ability to independently design radial aircraft tires. Summary of the invention

[0004] Aiming at the problem that tire geometry drawing is complicated and time-consuming, the present invention provides a radial aviation tire geometry parameterized modeling method.

[0005] The method for geometric parameter modeling of radial aircraft tires is characterized in that the method comprises: according to the maximum diameter R of the tire vertical , Maximum tire section width W max 、Rim diameter R rim , thickness of airtight layer T IL , sidewall thickness T SideWall 、Bead taper A taper , Ratio of rim width to tire section width W ratio , tread thickness T tread , transverse thickness of tire heel T HealH , Tire heel longitudinal thickness T HealV , reinforcement layer thickness T PP , wire ring diameter R bead , carcass ply thickness T CP , belt thickness T BP, the horizontal distance D between the apex of the triangle and the center of the wire ring apexH , the longitudinal distance D between the apex of the apex and the center of the wire ring apexV , establish a three-dimensional model of radial aviation tire.

[0006] The beneficial effects of the present invention are:

[0007] Compared with the traditional method of drawing the tire cross-sectional profile, the radial aircraft tire geometric parameterized modeling method of the present invention can quickly and accurately establish the geometric model of the radial aircraft tire through 16 geometric information parameters, thereby shortening the research and development cycle of the radial aircraft tire and promoting the improvement of the ability of independent design of radial aircraft tires. BRIEF DESCRIPTION OF THE DRAWINGS

[0008] The drawings described herein are used to provide further understanding of the present invention and constitute a part of this application. The illustrative examples of the present invention and their descriptions are used to explain the present invention and do not constitute improper limitations on the present invention.

[0009] Figure 1 The present invention provides a radial aircraft tire geometric parameterized modeling method for a radial aircraft tire, and an upper outer contour diagram of the cross section.

[0010] Figure 2 The present invention provides a radial aircraft tire geometric parameterized modeling method for a radial aircraft tire, and an upper inner profile of the radial aircraft tire cross section.

[0011] Figure 3 The present invention provides a heel profile diagram of a radial aircraft tire according to the method for geometric parameterized modeling of a radial aircraft tire.

[0012] Figure 4 The invention discloses a radial aircraft tire geometric parameterized modeling method and a corresponding outer contour diagram of a steel bead ring and an apex rubber region of the radial aircraft tire.

[0013] Figure 5 It is an outer contour diagram of the lower half of the radial aircraft tire contour of the radial aircraft tire geometric parameterized modeling method of the present invention.

[0014] Figure 6 The invention discloses a radial aircraft tire geometric parameterized modeling method and a radial aircraft tire bead and apex rubber contour diagram.

[0015] Figure 7 The present invention provides a contour diagram of the carcass ply of a radial aircraft tire in the method for geometric parameterized modeling of a radial aircraft tire.

[0016] Figure 8 The present invention provides a contour diagram of the belt layer of a radial aircraft tire according to the method for geometric parameterized modeling of a radial aircraft tire.

[0017] Fig. 9 It is a contour diagram of the reinforcement layer and tread of a radial aircraft tire in the method for geometric parameterized modeling of a radial aircraft tire of the present invention.

[0018] Fig.10 The present invention is a schematic diagram of the position of the cords of a radial aircraft tire in a cross section in the method for geometric parameterized modeling of a radial aircraft tire.

[0019] Fig.11 A tire cross-section diagram of a radial aircraft tire established by the radial aircraft tire geometric parameterized modeling method of the present invention. DETAILED DESCRIPTION

[0020] The present invention achieves the above technical objectives through the following steps:

[0021] The geometric parameter modeling method of radial aircraft tire is as follows: according to the maximum tire diameter R vertical , Maximum tire section width W max 、Rim diameter R rim , thickness of airtight layer T IL , sidewall thickness T SideWall 、Bead taper A taper , Ratio of rim width to tire section width W ratio , tread thickness T tread , transverse thickness of tire heel T HealH , Tire heel longitudinal thickness T HealV , reinforcement layer thickness T PP , wire ring diameter R bead , carcass ply thickness T CP , belt thickness T BP , the horizontal distance D between the apex of the triangle and the center of the wire ring apexH , the longitudinal distance D between the apex of the apex and the center of the wire ring apexV , establish a three-dimensional model of a radial aircraft tire. According to the above 16 parameters, the profile of the radial aircraft tire section can be established. The profile of the radial aircraft tire section is a two-dimensional model. The three-dimensional model of the radial aircraft tire can be obtained by rotating the profile of the radial aircraft tire section around the tire center axis.

[0022] The radial aircraft tire structure established by the present invention includes: an airtight layer, a carcass cord layer, a belt layer, a reinforcement layer, a sidewall, a tread, a wire bead, an apex rubber and a tire heel. The airtight layer plays a sealing role and is on the innermost side of the tire. Next is the carcass cord layer and the belt layer, which provide rigidity for the tire structure. Outside the belt layer is a reinforcement layer, which provides additional rigidity for the tire and protects the belt layer. The wire bead and the apex rubber are wrapped by the carcass cord layer, and the wire bead plays a role in fixing the position of the tire. The apex rubber connects the wire bead, and the apex rubber plays a role of buffering and protecting between the carcass layer and the wire bead. The bottom of the carcass cord layer is connected to the tire heel, the two sides are the sidewall layers, and the top is the tread layer, which plays a protective role. The tread, reinforcement layer, belt layer, carcass ply and airtight layer are connected in sequence, the sidewall, carcass ply and airtight layer are connected in sequence, the sidewall and carcass ply are bonded together, the upper end is connected to the tread, reinforcement layer and belt layer, and the lower end is connected to the tire heel. In this embodiment, the radial aircraft tire used is a single wire ring tire. The tire section (also called tire cross section) of the radial aircraft tire is an axisymmetric figure, and the structure on the other side of the symmetry axis can be known based on the structure on one side of the symmetry axis. The structure on one side of the symmetry axis or on the other side of the symmetry axis is called a half-side structure or a tire half-section or a tire half-section. The outline of the tire section can be determined based on the outline of the half-side structure, and the outline of the radial aircraft tire can be determined based on the outline of the tire section.

[0023] The present invention uses 39 parameters to quickly and accurately establish the tire section geometry of a radial aircraft tire, including 16 geometric information parameters and 23 adjustment geometric profile parameters. vertical , W max , R rim 、T IL 、T SideWall , A taper , W ratio 、T tread 、T HealH 、T HealV 、T PP , R bead , T CP 、T BP , D apexH and D apexV Determine the contours of the air-inner layer and carcass ply, the contours of the belt layer, the contours of the reinforcement layer, the contours of the sidewall, the contours of the tread, the contours of the wire ring, the contours of the apex rubber and the contours of the tire heel. Since the air-inner layer structure is narrow and slender, and its contribution to the rigidity of the tire structure is minimal, the contours of the air-inner layer and carcass ply are determined at the same time, and the contours of the air-inner layer and carcass ply are used to express the contours of the dense layer and carcass ply as a whole. The specific description of the tire geometric parametric modeling method below only describes the points on the contour of the half-side structure. The points P1 and P2 below are 38 , P35 , P 25 P and P6 are both located on the symmetry axis of the tire section. The geometric parameter modeling method includes the following steps:

[0024] Step 1: Create the outer contour of the tire cross section.

[0025] According to R vertical , W max , R rim 、T IL 、T SideWall , A taper , W ratio 、T tread 、T HealH 、T HealV , T PP , R bead 、T CP 、T BP , D apexH and D apexV Determine the outer contour of the tire section.

[0026] The tire cross-sectional outer contour includes the outer contour of the tire cross-sectional outer contour and the inner contour of the tire cross-sectional outer contour. The partial structure of the outer contour of the tire cross-sectional outer contour is as follows: Figure 1 , including a first arc and a second arc connecting the first arc; the partial structure of the inner side contour of the outer contour of the tire cross section is as follows Figure 2 , including a third arc and a fourth arc connecting the third arc. The third arc is located inside the first arc, and the fourth arc is located inside the second arc. The first arc is determined by three points P1, P4 and P3, P1 and P3 are the endpoints of the first arc, and P4 is located between P1 and P3. The second arc is determined by three points P3, P5 and P2, P3 and P2 are the endpoints of the second arc, and P5 is located between P3 and P2. The third arc is determined by three points P6, P9 and P8, P6 and P8 are the endpoints of the third arc, and P9 is located between P6 and P8. The fourth arc is determined by three points P8, P9 and P8. 10 and P7, P8 and P7 are the endpoints of the fourth arc, P 10 Located between P8 and P7.

[0027] A plane coordinate system is established with the tire center as the origin and the symmetry axis of the tire section as the Y axis. The parameters required to determine the coordinates of the upper outer point of the tire section outer contour are R vertical , W max and R rim The horizontal coordinate of P1 is H1=0, and the vertical coordinate V1 can be calculated by formula (1):

[0028]

[0029] The horizontal coordinate H2 and vertical coordinate V2 of P2 can be calculated by formula (2):

[0030]

[0031] The horizontal coordinate H3 and vertical coordinate V3 of P3 can be calculated by formula (3):

[0032]

[0033] Among them, C1 and C3 are variable coefficients, and changing their values ​​can adjust the position of P3. The horizontal coordinate H4 and the vertical coordinate V4 of P4 can be calculated by formula (4):

[0034]

[0035] Among them, C3 and C4 are variable coefficients, and changing their values ​​can adjust the position of P4. The horizontal coordinate H5 and the vertical coordinate V5 of P5 can be calculated by formula (5):

[0036]

[0037] Among them, C5 and C6 are variable coefficients, and changing their values ​​can adjust the position of P5.

[0038] Since the tire is a ply structure, with each component stacked together, the coordinates of the outer contour point on the inner side of the tire half-section can be obtained by subtracting the thickness of the component from the coordinates of the outer contour point on the tire half-section. The component thicknesses that need to be determined are: T tread 、T PP 、T BP 、T CP 、T IL and T SideWall .

[0039] To simplify the calculation and facilitate formula writing, let T ver It is the sum of the tread thickness, reinforcement layer thickness, belt layer thickness, carcass cord layer thickness and airtight layer thickness. hor is the tire sidewall thickness, which can be calculated by formula (6):

[0040]

[0041] Among them, C7 is a variable coefficient, which is related to T SideWall Together they control the thickness of the sidewall of the radial aircraft tire. The horizontal coordinate H6 of P6 is 0, and the vertical coordinate V6 is calculated by formula (7):

[0042]

[0043] The horizontal coordinate H7 and vertical coordinate V7 of P7 can be calculated by formula (8):

[0044]

[0045] Let M1 be the difference between the ordinates of P6 and P7, and calculate from formula (9):

[0046]

[0047] The horizontal coordinate H8 and vertical coordinate V8 of P8 are calculated by formula (10):

[0048]

[0049] Among them, C8 and C9 are variable coefficients. Let M2 be the difference between the ordinates of P6 and P8, and calculate by formula (11):

[0050]

[0051] The horizontal coordinate H9 and vertical coordinate V9 of P9 can be calculated by formula (12):

[0052]

[0053] Let M3 be the difference between the horizontal coordinates of P7 and P8, and M4 be the difference between the vertical coordinates of P7 and P8. By using formula (13), we can get:

[0054]

[0055] P 10 The horizontal axis H 10 , vertical coordinate V 10 According to formula (14), we can get:

[0056]

[0057] Among them, C 10 and C 11 is a variable coefficient.

[0058] The heel contour includes point P 11 , click P 12 , click P 13 and point P 14 ,like Figure 3 As shown, the heel contour includes P 11 and P 12 The determined straight line, P 12 and P 13 The determined straight line, P 13 and P 14 The straight line determined. 11 , P 12 , P 13 and P 14 The parameters required for coordinate determination are: W ratio , Ataper , W max , R rim , T HealH , T HealV , R bead , T CP and T IL .

[0059] P 11 The horizontal axis H 11 , vertical coordinate V 11 According to formula (15), we can get:

[0060]

[0061] Let M5 be P 11 With P 12 The difference of the horizontal axis, M6 is P 11 With P 12 The difference of the vertical coordinates can be calculated by formula (16):

[0062]

[0063] P 12 The horizontal axis H 12 , vertical coordinate V 12 According to formula (17), we can get:

[0064]

[0065] Let M7 be P 13 With P 11 The difference of the ordinate can be calculated by formula (18):

[0066]

[0067] P 13 The horizontal axis H 13 With P 11 Same, P 13 The vertical coordinate V 13 According to formula (19), we can get:

[0068]

[0069] P 14 The horizontal axis H 14 With P 12 The horizontal axis is the same, P 14 The vertical coordinate V 14 With P 13 The vertical coordinates are the same, P 14 The coordinates of can be calculated by formula (20):

[0070]

[0071] Center of wire ring P 15 With the apex P 16 And the tire outer contour of the corresponding area is as follows Figure 4 As shown, the outer contour of the corresponding area is represented by P 17 , P 18 , P 19 , P 20 , P 21 and P 22 The required parameters are: D apexH , D apexV 、T CP 、T IL , and T HealH .

[0072] Let M8 be the center of the wire ring P 15 With P 13 The difference of the horizontal axis can be calculated by formula (21):

[0073]

[0074] P 15 The vertical coordinate and P 13 The vertical coordinates are the same, that is, P 15 The horizontal and vertical coordinates of can be calculated by formula (22):

[0075]

[0076] The apex of the radial aircraft tire is attached to the wire ring, so the apex of the apex is P. 16 The coordinates of the center of the wire ring and D apexH and D apexV Two parameters are determined, P 16 The horizontal axis H 16 With the vertical coordinate V 16 According to formula (23), we can get:

[0077]

[0078] Let M9 be the sum of the thickness of the carcass cord layer and the thickness of the airtight layer, and calculate it by formula (24):

[0079] M9=T CP +T IL (twenty four)

[0080] P 16 The horizontal axis H 16 Subtract the thickness of the carcass cord layer and the airtight layer to get the point P on the inner side of the outer contour. 17 The horizontal axis H 17 , P 16The vertical coordinate V 16 Add the thickness of the carcass ply and the airtight layer to get point P on the inner side of the outer contour. 17 The vertical coordinate V 17 According to formula (25), we can get:

[0081]

[0082] Let M 10 is the sum of the carcass cord layer thickness and the transverse thickness of the tire heel, which can be calculated by formula (26):

[0083] M 10 =T CP +T HealH (26)

[0084] P 16 The horizontal axis H 16 Add the carcass ply thickness and the transverse thickness of the tire heel to get the point P on the outside of the outer contour. 18 The horizontal axis H 18 , P 16 The vertical coordinate V 16 Add the carcass ply thickness and the transverse thickness of the tire heel to get the point P on the outside of the outer contour. 18 The vertical coordinate V 18 , calculated by formula (27):

[0085]

[0086] Let M 11 P 14 and P 17 The difference between the horizontal axes, M 12 P 14 and P 17 The difference in the vertical coordinates can be calculated by formula (28):

[0087]

[0088] Among them, C 12 M 11 The coefficient, C 13 M 12 The coefficient of C 12 and C 13 Adjustable P 19 The position of P 19 The coordinates of can be calculated by formula (29):

[0089]

[0090] Let M 13 P 14 and P 19The difference between the horizontal axes, M 14 P 14 and P 19 The difference in the vertical coordinates can be calculated by formula (28):

[0091]

[0092] Among them, C 14 M 13 The coefficient, C 15 M 14 The coefficient of C 14 and C 15 Adjustable P 20 The position of P 20 The coordinates of can be calculated by formula (31):

[0093]

[0094] Let M 15 P 17 and P 19 The difference between the horizontal axes, M 16 P 17 and P 19 The difference in the ordinate can be calculated by formula (32):

[0095]

[0096] Among them, C 16 M 15 The coefficient, C 17 M 16 The coefficient of C 16 and C 17 Adjustable P 21 The position of P 21 The coordinates of can be calculated by formula (33):

[0097]

[0098] Let M 17 P 13 and P 18 The difference between the horizontal axes, M 18 P 13 and P 18 The difference in the ordinate can be calculated by formula (34):

[0099]

[0100] Among them, C 18 M 17 The coefficient, C 19 M 18 The coefficient of C 18 and C19 Adjustable P 22 The position of P 22 The coordinates of can be calculated by formula (35):

[0101]

[0102] By P2, P 23 and P 18 Determine the first arc of the lower half of the tire profile, P7, P 24 and P 17 Determine the second arc in the lower half of the tire. The two arcs together form the contour of the lower half of the tire, such as Figure 5 shown.

[0103] Let M 19 For P2 and P 18 The difference between the horizontal axes, M 20 For P2 and P 18 The difference in ordinate, M 19 and M 20 According to formula (36), we can get:

[0104]

[0105] Among them, C 20 M 19 The coefficient, C 21 M 20 The coefficient of C 20 and C 21 Adjustable P 23 The position of P 23 The coordinates of can be calculated by formula (37):

[0106]

[0107] Let M 21 For P7 and P 17 The difference between the horizontal axes, M 22 For P7 and P 17 The difference in ordinate, M 21 and M 22 According to formula (38), we can get:

[0108]

[0109] Among them, C 22 M 21 The coefficient, C 23 M 22 The coefficient of C 22 and C 23 Adjustable P 24 The position of P 24The coordinates of can be calculated by formula (39):

[0110]

[0111] At this point, the outer contour of the radial aircraft tire can be determined by 24 points. In other words, except for point P 15 and point P 16 The 22 points of the tire can determine the outer contour of the tire cross section, which includes points P1, P2, P3, P4, P5, P6, P7, P8, P9, P 10 , P 11 , P 12 , P 13 , P 14 , P 17 , P 18 , P 19 , P 20 , P 21 , P 22 , P 23 and P 24 .

[0112] Step 2: Create the geometric outlines of the wire ring and the triangle rubber.

[0113] The coordinates of the center of the wire ring P 15 With wire ring diameter R bead The profile of the wire ring can be determined. 16 The contour of the apex can be determined by drawing two tangent lines to the wire ring, such as Figure 6 As shown, that is, according to P 16 Tangent to the bead traveler's profile, bead traveler's profile, P 16 Ability to determine the contour of the apex.

[0114] Step 3: Establish the geometric contours of the airtight layer and the carcass ply.

[0115] The geometric profiles of the airtight layer and the carcass ply are composed of P6, P9, P8, P 10 , P7, P 24 , P 17 , P 21 , P 19 , P 20 , P 14 , P 34 , P 33 , P 32 , P 31 , P 30 , P 29 , P 28 , P 27 , P 26 and P 25 Composition, such as Figure 7 As shown. Among them, P6, P9, P8, P 10 , P7, P 24 , P 17 , P 21 , P 19 , P 20 and P 14 The inner profile that constitutes the airtight layer structure, P 34 , P 33 , P 32 , P 31 , P 30 , P 29 , P 28 , P 27 , P 26 and P 25 It forms the contour where the carcass ply meets the sidewall. 34 With P 14 Connect with a straight line, P 34 With P 33 Connect with an arc, the arc and the wire ring have the same center. vertical , W max , R rim , T IL , T SideWall , W ratio , T tread , T HealH , T HealV , T PP , R bead , T CP , T BP , D apexH and D apexV Determine the contours of the airtight layer and the carcass ply. Since the contours of the bead ring and the apex rubber are located within the contours of the airtight layer and the carcass ply, the contours of the airtight layer and the carcass ply must be determined based on the contours of the bead ring and the apex rubber. The contour of the tire heel can be determined based on the contours of the airtight layer and the carcass ply and the outer contour of the tire cross section. The contour of the tire heel is determined by P 14 , P 34 , P 33 , P 13 , P 11 and P 12 constitute.

[0116] P 25 The horizontal axis H 25 Same as the horizontal coordinate of P6, P 25 The vertical coordinate V 25 The thickness of the airtight layer and the thickness of the carcass cord layer are added to the ordinate of P6 to obtain P 25 The coordinates of can be calculated by formula (40):

[0117]

[0118] P 26 The horizontal axis H 26 Same as the horizontal axis of P9, P 26 The vertical coordinate V 26 The thickness of the airtight layer and the thickness of the carcass cord layer are added to the ordinate of P9 to obtain P 26 The coordinates of can be calculated by formula (41):

[0119]

[0120] P 27 From the horizontal coordinate H of P8 27 With the vertical coordinate V 27 Add the thickness of the airtight layer and the thickness of the carcass ply to get, P 27 The coordinates of can be calculated by formula (42):

[0121]

[0122] P 28 The horizontal axis H 28 By P 10 The abscissa of the airtight layer plus the thickness of the carcass ply 1.5 times the thickness of the carcass ply gives, P 28 The vertical coordinate and P 10 The vertical coordinates are the same, P 28 The coordinates of can be calculated by formula (43):

[0123]

[0124] P 29 The abscissa of P7 is obtained by adding the thickness of the airtight layer and twice the thickness of the carcass ply. 29 The ordinate of P is the same as that of P7. 29 The coordinates of can be calculated by formula (44):

[0125]

[0126] P 30 The horizontal axis is P 24 The horizontal axis of the airtight layer thickness plus twice the carcass ply thickness is obtained, P 30 The vertical coordinate and P 23 Same, P 30 The coordinates of can be calculated by formula (45):

[0127]

[0128] P 31The horizontal axis is P 18 The horizontal coordinate minus the transverse thickness T of the tire heel HealH Get, P 31 The vertical coordinate and P 18 The vertical coordinates are the same, P 31 The coordinates of can be calculated by formula (46):

[0129]

[0130] P 32 The horizontal axis is P 22 The horizontal coordinate minus the transverse thickness T of the tire heel HealH Get, P 32 The vertical coordinate and P 22 The vertical coordinates are the same, P 32 The coordinates of can be calculated by formula (47):

[0131]

[0132] P 33 The horizontal axis is P 13 The horizontal coordinate minus the transverse thickness T of the tire heel HealH Get, P 33 The vertical coordinate and P 13 The vertical coordinates are the same, P 33 The coordinates of can be calculated by formula (48):

[0133]

[0134] P 34 The horizontal axis is P 14 The horizontal axis plus the thickness of the airtight layer T IL Get, P 34 The vertical coordinate and P 14 The vertical coordinates are the same, P 34 The coordinates of can be calculated by formula (49):

[0135]

[0136] Step 4: Establish the geometric profile of the belt layer.

[0137] According to the contours of the airtight layer and the carcass ply, R vertical , W max , R rim , T IL , T SideWall , T tread , T PP , T CP and T BP Determine the profile of the belt layer. The profile of the belt layer is determined by P 25 , P26 , P 27 , P 35 , P 36 and P 37 Composition, P 37 Connect P 27 ,like Figure 8 shown.

[0138] Let T ICB is the sum of the thickness of the airtight layer, the thickness of the carcass cord layer and the thickness of the belt layer, which can be calculated by formula (50):

[0139] T ICB =T IL +T CP +T BP (50)

[0140] P 35 The horizontal axis and P 25 The horizontal coordinates are the same, that is, H 35 =0,P 35 The vertical coordinate is P 25 The vertical coordinate plus the thickness of the belt layer gives, P 35 The ordinate of is calculated by formula (51):

[0141]

[0142] P 36 The horizontal axis and P 26 The horizontal axis is the same, P 36 The vertical coordinate is P 26 The vertical coordinate plus the thickness of the belt layer gives, P 36 The coordinates of can be calculated by formula (52):

[0143]

[0144] P 37 The horizontal axis and P 27 The horizontal axis is the same, P 37 The vertical coordinate is P 27 The vertical coordinate plus the thickness of the belt layer gives, P 37 The coordinates of can be calculated by formula (53):

[0145]

[0146] Step 5: Establish the geometric profile of the reinforcement layer and the tread.

[0147] According to the profile of the belt layer, R vertical , W max , R rim , T IL , T SideWall, T tread , T PP , T CP and T BP Determine the contour of the reinforcement layer; determine the contour of the tread according to the contour of the reinforcement layer and the outer contour of the tire section. 35 , P 36 , P 37 , P 40 , P 39 and P 38 Composition, such as Fig. 9 The tread profile consists of P1, P4, P3, P 40 , P 39 and P 38 constitute.

[0148] Let T ICBP is the sum of the thickness of the airtight layer, the thickness of the carcass cord layer, the thickness of the belt layer and the thickness of the reinforcement layer, which can be calculated by formula (54):

[0149] T ICBP =T IL +T CP +T BP +T PP (54)

[0150] P 38 The horizontal axis and P 35 The horizontal coordinates are the same, that is, H 38 =0,P 38 The vertical coordinate is P 35 The vertical coordinate plus the thickness of the reinforcement layer gives, P 38 The vertical coordinate of is calculated by formula (55):

[0151]

[0152] P 39 The horizontal axis and P 36 The horizontal axis is the same, P 39 The vertical coordinate is P 36 The vertical coordinate plus the thickness of the belt layer gives, P 39 The coordinates of can be calculated by formula (56):

[0153]

[0154] P 40 The horizontal axis and P 37 The horizontal axis is the same, P 40 The vertical coordinate is P 37 The vertical coordinate plus the thickness of the belt layer gives, P 40 The coordinates of can be calculated by formula (57):

[0155]

[0156] The arc formed by P3, P5 and P2 and P 38 , P 39 and P 40 The intersection point of the arcs is P 41 , P 40 With P 41 The dividing line divides the tread and the sidewall into two areas.

[0157] The sidewall profile can be determined based on the tire cross-section profile, tread profile, reinforcement layer profile, belt layer profile, airtight layer and carcass ply profile, and tire heel profile. The sidewall profile is composed of (P5,) P2, P 23 , P 18 , P 22 , P 13 , P 33 , P 32 , P 31 , P 30 , P 29 , P 28 , P 27 , P 37 and P 40 constitute.

[0158] Usually P 38 and P 39 , P 39 and P 40 , P 40 and the second arc, P 35 and P 36 , P 36 and P 37 , P 25 and P 26 , P 26 and P 27 , P 27 and P 28 , P 28 and P 29 , P 29 and P 30 , P 30 and P 31 , P 31 and P 32 , P 32 and P 33 , P 14 and P 20 , P 20 and P 19 , P 19 and P 21 , P 21 and P17 , P 17 and P 24 , P 24 and P7 are both connected by curves / arcs, P 40 and P 37 , P 37 and P 27 All are connected by straight lines. 40 and P 37 The line connecting the reinforcing layer and the sidewall constitutes the dividing line, P 37 and P 27 The line connecting the belt layer and the sidewall constitutes the dividing line. 14 , P 20 and P 19 Form an arc, P 18 , P 22 and P 13 Form an arc, P 25 , P 26 and P 27 Form an arc, P 35 , P 36 and P 37 Form an arc, P 27 , P 28 and P 29 Form an arc, P 29 , P 30 and P 31 Form an arc, P 31 , P 32 and P 33 Form an arc.

[0159] For cord design: The cords of radial aircraft tires are usually divided into carcass cords, belt cords and reinforcement cords, corresponding to the carcass ply, belt layer and reinforcement layer respectively. Since the tire cords are laminated together, that is, the cords should be evenly distributed in the area, based on this feature, the cord models can be established for the carcass ply, belt layer and reinforcement layer respectively. The position of the cord in the tire is as follows: Fig.10 As shown, from top to bottom they correspond to the reinforcement layer cords, belt layer cords and carcass cords.

[0160] The cross-sectional profile of the radial aircraft tire can be obtained by assigning values ​​to the 16 geometric information parameters and the 23 parameters for adjusting the geometric profile. The parameter values ​​of this embodiment are shown in Table 1. The cross-sectional profile of the radial aircraft tire established by the 39 parameters in Table 1 is shown in Fig.11 shown.

[0161] Table 1 Parameter values

[0162] <![CDATA[R vertical =1270mm]]> <![CDATA[W max =455mm]]> <![CDATA[R rim =558mm]]> <![CDATA[W ratio =0.7]]> <![CDATA[A taper =5°]]> <![CDATA[T IL =2mm]]> <![CDATA[T CP =6mm]]> <![CDATA[T BP =12mm]]> <![CDATA[T PP =4mm]]> <![CDATA[T tread =14mm]]> <![CDATA[T SideWall =8mm]]> <![CDATA[R baed =32mm]]> <![CDATA[T HealH =10mm]]> <![CDATA[T HealV =4mm]]> <![CDATA[D apexH =14mm]]> <![CDATA[D apexV =36mm]]> <![CDATA[C1=0.85]]> <![CDATA[C2=1.68]]> <![CDATA[C3=0.5]]> <![CDATA[C4=1.03]]> <![CDATA[C5=-0.19]]> <![CDATA[C6=0.6]]> <![CDATA[C7=1.5]]> <![CDATA[C8=0.84]]> <![CDATA[C9=0.736]]> <![CDATA[C 10 =0.38]]> <![CDATA[C 11 =0.495]]> <![CDATA[C 12 =0.39]]> <![CDATA[C 13 =0.62]]> <![CDATA[C 14 =0.18]]> <![CDATA[C 15 =0.425]]> <![CDATA[C 16 =0.7]]> <![CDATA[C 17 =0.64]]> <![CDATA[C 18 =0.187]]> <![CDATA[C 19 =0.42]]> <![CDATA[C 20 =0.21]]> <![CDATA[C 21 =0.52]]> <![CDATA[C 22 =0.79]]> <![CDATA[C 23 =0.6]]>

[0163] The radial aircraft tire geometric parameterized modeling method of the present invention can simply and quickly draw the tire contour geometry through 16 geometric information parameters, can quickly and accurately establish the geometric model of the radial aircraft tire, shorten the research and development cycle of the radial aircraft tire, and promote the improvement of the ability of independent design of the radial aircraft tire.

[0164] Compared with the traditional CAD method of drawing the cross-sectional profile of the tire, this method can quickly design the cross-sectional profile of the radial aircraft tire through 39 parameters. The cross-sectional profile of the radial aircraft tire is determined by 16 geometric information parameters and 23 parameters for adjusting the geometric profile. The profile of the tire can be quickly adjusted by modifying the coefficient, thereby greatly shortening the time for establishing the cross-sectional profile of the radial aircraft tire, accelerating the design iteration process of the radial aircraft tire, shortening the design cycle of the radial aircraft tire, and promoting the improvement of the design capability of the radial aircraft tire.

[0165] The above description is only a preferred embodiment of the present invention and is not intended to limit the present invention. For those skilled in the art, the present invention may have various modifications and variations. Any modification, equivalent replacement, improvement, etc. made to the present invention shall be included in the protection scope of the present invention.

Claims

1. A method for geometric parameterization of a radial aircraft tire, characterized in that: The method is: according to the maximum tire diameter R vertical , Maximum tire section width W max 、Rim diameter R rim , thickness of airtight layer T IL , sidewall thickness T SideWall 、Bead taper A taper , Ratio of rim width to tire section width W ratio , tread thickness T tread , transverse thickness of tire heel T HealH , Tire heel longitudinal thickness T HealV , reinforcement layer thickness T PP , wire ring diameter R bead , carcass ply thickness T CP , belt thickness T BP , the horizontal distance D between the apex of the triangle and the center of the wire ring apexH , the longitudinal distance D between the apex of the apex and the center of the wire ring apexV , establish a three-dimensional model of radial aircraft tire; The radial aircraft tire three-dimensional model is determined by the half-side structural profile of the radial aircraft tire section. The method for determining the half-side structural profile of the radial aircraft tire section is as follows: vertical , W max , R rim 、T IL 、T SideWall , A taper , W ratio 、T tread 、T HealH 、T HealV 、T PP , R bead 、T CP 、T BP , D apexH and D apexV Determine the contours of the airtight layer and carcass ply, the contours of the belt layer, the contours of the reinforcing layer, the contours of the sidewall, the contours of the tread, the contours of the wire ring, the contours of the apex rubber and the contours of the tire heel; The method is specifically as follows: According to R vertical , W max , R rim , T IL , T SideWall , A taper , W ratio , T tread , T HealH , T HealV , T PP , R bead , T CP , T BP , D apexH and D apexV Determine the outer profile of the tire cross section; According to W max , W ratio 、T CP , R bead 、T HealH , R rim 、T HealV 、T HealV and D apexH Determine the center P of the wire ring 15 , according to P 15 and R bead Determine the profile of the traveller; According to the profile of the wire ring, D apexH and D apexV Determine the apex P 16 , by P 16 Draw two tangent lines to the profile of the wire ring to determine the profile of the apex; According to the outer contour of the tire section, the contour of the wire ring, the contour of the triangle rubber, R vertical , W max , R rim 、T IL 、T SideWall , W ratio 、T tread 、T HealH 、T HealV 、T PP , R bead 、T CP 、T BP , D apexH and D apexV Determine the contours of the inner liner and carcass plies; Determine the tire heel profile based on the profiles of the airtight layer and carcass ply and the outer profile of the tire cross section; According to the contours of the airtight layer and the carcass ply, R vertical , W max , R rim , T IL , T SideWall , T tread , T PP , T CP and T BP Determine the profile of the belt layer; According to the profile of the belt layer, R vertical , W max , R rim 、T IL 、T SideWall 、T tread 、T PP 、T CP and T BP Determine the contour of the reinforcement layer; Determine the profile of the tread according to the profile of the reinforcement layer and the outer profile of the tire cross section; Determine the sidewall profile based on the tire cross-section outer profile, the tread profile, the reinforcement layer profile, the belt layer profile, the airtight layer and carcass ply profile, and the tire heel profile; The carcass ply, belt layer and reinforcement layer are all provided with cords, the cords in the carcass ply are arranged at equal intervals, the cords in the belt layer are arranged at equal intervals, and the cords in the reinforcement layer are arranged at equal intervals; The tire cross-section outer contour includes points P1, P4, P3, P5, P2, P4, P5, P6, P7, P8, P9, P10, P11, P12, P13, P14, P15, P16, P17, P18, P19, P20, P21, P22, P23, P24, P25, P26, P27, P28, P29, P30, P 23 , P 18 , P 22 , P 13 , P 11 , P 12 , P 14 , P 20 , P 19 , P 21 , P 17 , P 24 , P7, P 10 , P8, P9 and P6, P6, P9 and P8 are located on an arc, P8, P 10 and P7 are located on another arc; The contours of the airtight layer and the carcass ply include points P6, P9, P8, P9, P10, P11, P12, P13, P14, P15, P16, P17, P18, P19, P20, P21, P22, P23, P24, P25, P26, P27, P28, P29, P30, P31, P32, P33, P 10 , P7, P 24 , P 17 , P 21 , P 19 , P 20 , P 14 , P 34 , P 33 , P 32 , P 31 , P 30 , P 29 , P 28 , P 27 , P 26 and P 25 , P 14 With P 34 By connecting with straight line, P 34 With P 33 Connected by arcs and connected to P 34 With P 33 The arc is concentric with the wire ring; The contour of the tire heel consists of points P connected in sequence 14 , P 34 , P 33 , P 13 , P 11 and P 12 ; The profile of the belt layer consists of points P connected in sequence 25 , P 26 , P 27 , P 37 , P 36 and P 35 ; The contour of the reinforcement layer consists of points P connected in sequence 35 , P 36 , P 37 , P 40 , P 39 and P 38 ; The tread profile consists of points P1, P4, P3, P 40 , P 39 and P 38 ; The sidewall profile includes points P2, P 23 , P 18 , P 22 , P 13 , P 33 , P 32 , P 31 , P 30 , P 29 , P 28 , P 27 , P 37 and P 40 ; The points P1, P4 and P3 form an arc, the points P3, P5 and P2 form an arc, and the points P2, P 23 and P 18 Points P6, P9 and P8 form an arc. Points P8, P 10 and P7 form an arc. 24 and P 17 Form an arc, P 38 , P 39 and P 40 The arc formed by points P3, P5 and P2 and point P 38 , P 39 and P 40 The intersection point of the arcs is P 41 , P 40 With P 41 A dividing line that separates the tread and the sidewall; The P 14 and P 12 By connecting with straight line, P 12 and P 11 By connecting with straight line, P 11 and P 13 Connected by straight lines.

2. The radial aircraft tire geometric parameter modeling method according to claim 1, characterized in that: The horizontal coordinate of P1 is H1=0, and the vertical coordinate V1 of P1 is: The horizontal coordinate of P2 and the vertical coordinate V2 are: The horizontal coordinate H3 and vertical coordinate V3 of P3 are: The horizontal coordinate H4 and vertical coordinate V4 of P4 are: The horizontal coordinate H5 and vertical coordinate V5 of P5 are: The horizontal coordinate H6 of P6 is 0, and the vertical coordinate V6 of P6 is: The horizontal coordinate H7 and vertical coordinate V7 of P7 are: The horizontal coordinate H8 and vertical coordinate V8 of P8 are: The horizontal coordinate H9 and vertical coordinate V9 of P9 are: P 10 The horizontal axis H 10 and the vertical coordinate V 10 for: Among them, C1, C3, C4, C5, C6, C7, C8, C9, C 10 and C 11 are all variable coefficients, 3. The radial aircraft tire geometric parameter modeling method according to claim 2, characterized in that: The P 11 The horizontal axis H 11 and the vertical coordinate V 11 for: P 12 The horizontal axis H 12 and the vertical coordinate V 12 for: P 13 The horizontal and vertical coordinates V 13 for: P 14 The horizontal axis H 14 and the vertical coordinate V 14 for: P 15 The horizontal axis H 15 and the vertical coordinate V 15 for: P 16 The horizontal axis H 16 and the vertical coordinate V 16 for: P 17 The horizontal axis H 17 and the vertical coordinate V 17 for: P 18 The horizontal axis H 18 and the vertical coordinate V 18 for: P 19 The horizontal axis H 19 and the vertical coordinate V 19 for: P 20 The horizontal axis H 20 and the vertical coordinate V 20 for: P 21 The horizontal axis H 21 and the vertical coordinate V 21 for: P 22 The coordinates of H 22 and the vertical coordinate V 22 for: P 23 The coordinates of H 23 and the vertical coordinate V 23 for: P 24 The coordinates of H 24 and the vertical coordinate V 24 for: Among them, C 12 M 11 The coefficient, C 13 M 12 The coefficient, C 14 M 13 The coefficient, C 15 M 14 The coefficient, C 16 M 15 The coefficient, C 17 M 16 The coefficient, C 18 M 17 The coefficient, C 19 M 18 The coefficient, C 20 M 19 The coefficient, C 21 M 20 The coefficient, C 22 M 21 The coefficient, C 23 M 22 The coefficient of M9=T CP +T IL (24) M 10 =T CP +T HealH (26) 4. The method for geometric parameterization modeling of a radial aircraft tire according to claim 3, characterized in that: The P 25 The horizontal axis H 25 and the vertical coordinate V 25 for: P 26 The horizontal axis H 26 and the vertical coordinate V 26 for: P 27 The horizontal axis H 27 With the vertical coordinate V 27 for: P 28 The horizontal axis H 28 With the vertical coordinate V 28 for: P 29 The horizontal axis H 29 With the vertical coordinate V 29 for: P 30 The horizontal axis H 30 With the vertical coordinate V 30 for: P 31 The horizontal axis H 31 With the vertical coordinate V 31 for: P 32 The horizontal axis H 32 With the vertical coordinate V 32 for: P 33 The horizontal axis H 33 With the vertical coordinate V 33 for: P 34 The horizontal axis H 34 With the vertical coordinate V 34 for: P 35 The horizontal axis H 35 With the vertical coordinate V 35 for: P 36 The horizontal axis H 36 With the vertical coordinate V 36 for: P 37 The horizontal axis H 37 With the vertical coordinate V 37 for: P 38 The horizontal axis H 38 =0,P 38 The vertical coordinate V 38 for: P 39 The horizontal axis H 39 With the vertical coordinate V 39 for: P 40 The horizontal axis H 40 With the vertical coordinate V 40 for: Among them, T ICB =T IL +T CP +T BP (50) T ICBP =T IL +T CP +T BP +T PP (54)。

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