CN106142979A - Rail vehicle S-shaped web pattern wheel with three sections of tangent arcs - Google Patents

Abstract

The invention discloses the rail vehicle S-shaped web pattern wheel with three sections of tangent arcs, be made up of wheel rim district, disc district, wheel hub district, rim and spoke transition region and wheel hub spoke transition region.The region that described wheel rim district is surrounded by wheel rim thickness, rim width and flange tread profile forms；The region that described wheel hub district is surrounded by hub thickness, hub width and pore radius is constituted；Described disc district and rim and spoke transition region, wheel hub spoke transition region, by the upper and lower center of disc, according to disc minimum thickness, maximum gauge, interior thickness dimensional requirement, determine according to the geometry teaching rule of specification step and three sections of tangent arcs.Give the principle structure of the rail vehicle S-shaped web pattern wheel with three sections of tangent arcs, it can be ensured that railway S-shaped web wheel has rational rigidity and intensity.

Description

Rail vehicle S-shaped web pattern wheel with three sections of tangent arcs

Technical field

The present invention relates to Train Parts field, be specifically related to the rail vehicle S-shaped web pattern with three sections of tangent arcs Wheel.

Background technology

Disc shape has large effect to structural strength and the rigidity of track wheel of vehicle.Existing railway wheel is according to spoke Plate pattern can be divided into straight wheel plate, S-shaped disc, waveform disc, basin shape disc four kinds.Straight wheel plate has that quality is little, lateral stiffness Little feature, shortcoming is that radial rigidity is excessive, axial rigidity is less, is usually used in Multiple disc brake situation, it is simple to install brake disc.Phase For straight wheel plate, S-shaped web wheel has less radial rigidity, thus wheel can be made to have certain radial elastic, permissible Improve the response of Wheel Rail Contact vertical live load.Meanwhile, S-shaped disc makes wheel have less axial rigidity, it is possible to improve wheel Rail contacts the response of horizontal live load.Further, S-shaped disc adds surface area, thus can improve the heat transfer of tread brake.Ripple The axial rigidity that shape web wheel radial rigidity is less and bigger.Basin shape disc is that wagon wheel is for adaptation casting technique The version used.

The disc of common S-shaped web wheel generally uses two sections of circular arcs, i.e. except comprising one section from wheel hub to the transition of spoke Straight line and circular arc line profile, and except from wheel rim in addition to the transition of spoke comprises one section of straight line and circular arc line transition, inside and outside wheel The disc profile of side is all made up of two sections of circular arcs.How design to spoke transition profile and disc profile is carried out, and is in without chapter Governed state, is substantially determined by the experience of designer, is difficult to ensure that the reasonability of car wheel structure rigidity and intensity generally. Need the design of rail vehicle S-shaped spoke architecture that there is principle innovation, that have regulations to abide by.

The present invention from rationalize rail vehicle S-shaped web pattern wheel design, developed a kind of principle, meet Three sections of tangent arc web pattern wheels of the band of specification geometry teaching model, it is ensured that railway wheel has rational rigidity with strong Degree.

Summary of the invention

The present invention solves above-mentioned technical problem and be the technical scheme is that the rail vehicle S-shaped with three sections of tangent arcs Web pattern wheel, described wheel is by the wheel rim district 1 being sequentially connected with, wheel rim-spoke transition region 4, disc district 2, wheel hub-spoke mistake Cross district 5 and wheel hub district 3 to form；

Described wheel rim-spoke transition region 4 is the region gradually narrowed to disc district 2 from wheel rim district 1, wheel rim-spoke transition The both sides in district 4 are arc；The arc of described wheel rim-spoke transition region 4 side is by the first circular arc conical surface and the first straight line circular cone Face is constituted, and the described first circular arc conical surface is that radius is with the side junction point in wheel rim-spoke transition region 4 and disc district 2 as starting point rf₁, central angle be af₁The circular arc conical surface；The oblique angle of described first straight line taper seat is θ₁, starting point be wheel rim district 1 and wheel rim-wheel The junction point of spoke transition region 4 side, the terminal of the first straight line taper seat and the terminal of the first circular arc conical surface connect；Wheel rim-spoke The arc of transition region 4 opposite side is made up of the second circular arc conical surface and the second straight line taper seat；The described second circular arc conical surface is with wheel Rim-spoke transition region 4 is starting point with the opposite side junction point in disc district 2, and radius is RF₂, central angle be AF₂The circular arc conical surface；Institute The oblique angle stating the second straight line taper seat is ω₂, starting point be the junction point in wheel rim district 1 and wheel rim-spoke transition region 4 opposite side；The The terminal of the two circular arc conical surfaces and the terminal of the second straight line taper seat connect；The described first circular arc conical surface, the first straight line taper seat, The two circular arc conical surfaces and the second straight line taper seat are positioned at same level, between the minimum between described wheel rim-spoke transition region 4 both sides Away from being assumed to be w₁, then the height H of wheel rim-spoke transition region 4₁Meet following condition:

When wheel rim-spoke transition region 4 is with side for foundation, this side profile is according to rf₁And θ₁Determine, opposite side profile root According to H₁Select RF₂Or ω₂Determine according to equation below 1:

H₁=(w_R-w₁/2-rf₁sinθ₁)tgθ₁+rf₁cosθ₁(formula 1)

When wheel rim-spoke transition region 4 is with opposite side for foundation, this side profile is according to RF₂And ω₂Determine, a side profile root According to H₁Select rf₁Or θ₁Determine according to equation below 2:

H₁=(W_R-w_R-w₁/2-RF₂sinω₂)tgω₂+RF₂cosω₂(formula 2)

Described wheel hub-spoke transition region 5 is the region gradually narrowed to disc district 2 from wheel hub district 3, described wheel hub-spoke The both sides of transition region 5 are arc；The arc of described wheel hub-spoke transition region 5 side is by the three-arc conical surface and the 3rd straight line Taper seat is constituted, and the described three-arc conical surface is with the side junction point in wheel hub-spoke transition region 5 and disc district 2 as starting point, and half Footpath is rf₂, central angle be af₂The circular arc conical surface；The oblique angle of described first straight line taper seat is θ₂, starting point be wheel hub district 3 and wheel The junction point of hub-spoke transition region 5 side, the terminal of the 3rd straight line taper seat and the terminal of the three-arc conical surface connect；Wheel hub- The arc of spoke transition region 5 opposite side is made up of the 4th circular arc conical surface and the 4th straight line taper seat；The described 4th circular arc conical surface is With the opposite side junction point in wheel hub-spoke transition region 5 and disc district 2 as starting point, radius is RF₁, central angle be AF₁Circular arc cone Face；The oblique angle of described 4th straight line taper seat is ω₁, starting point be the connection in wheel hub district 3 and wheel hub-spoke transition region 5 opposite side Point；The terminal of the 4th circular arc conical surface and the terminal of the 4th straight line taper seat connect；The described three-arc conical surface, the 3rd straight line circular cone Face, the 4th circular arc conical surface and the 4th straight line taper seat are positioned at same level, between described wheel hub-spoke transition region 5 both sides Minimum spacing is assumed to be w₃, then the height H of wheel rim-spoke transition region 4₂Meet following condition:

During with wheel hub-spoke transition region 5 side for foundation, this side profile is according to rf₂And θ₂Determining, opposite side is according to H₂Choosing Select RF₁Or ω₁Determine according to equation below 3:

H₂=(w_G-w₃/2-rf₂sinθ₂)tgθ₂+rf₂cosθ₂(formula 3)

During with wheel hub-spoke transition region 5 opposite side for foundation, this side profile is according to RF₁And ω₁Determining, side is according to H₂Choosing Select rf₂Or θ₂Determine according to equation below 4:

H₂=(W_G-w₃/2-w_G-RF₁cosω₁)tgω₁+RF₁cosω₁(formula 4)

Described disc district 2 is to connect wheel rim-spoke transition region 4 and the region of wheel hub-spoke transition region 5, described disc district 2 Both sides be respectively made up of three sections of tangent arcs, if the horizontal range that width H is center, disc district about 2 in disc district 2, by such as Lower formula 5 calculates:

H=D_C-D_WS(formula 5)

Described Dc is the horizontal range under disc district (2) inside center and rim for automobile wheel, and Dws is upper center, disc district (2) With the horizontal range inside rim for automobile wheel；

The height dimension h in described disc district 2 calculates according to equation below 6:

H=R_W-H_W-R_G-H_G-H₁-H₂(formula 6)

Described Rw is radius of wheel, and Hw is the wheel rim thickness in wheel rim district 1, R_GFor the radius of the wheel bore in wheel hub district 3, H_GFor The hub thickness in wheel hub district 3；

One side profile in described disc district 2 comprises three sections of tangent arcs, meets following geometrical condition respectively:

First paragraph, is determined center of circle a by equation below 7₁After determine radius r₁I.e. can determine that

Second segment and the 3rd section, selected center of circle a by equation below 8₃After determine center of circle a₂, and then determine radius r₂And radius r₃Can determine that

Described disc district 2 opposite side profile comprises three sections of tangent arcs, meets following geometrical condition respectively:

First paragraph, is determined center of circle A by following formula₁After determine radius R₁I.e. can determine that

Second segment and the 3rd section, selected A by following formula₃After determine A₂, and then determine radius R₂And R₃Can determine that

Described β is the angle of disc district 2 centrage and vertical line, i.e. tg β=H/h；

Beneficial effects of the present invention: developed the principle of the rail vehicle S-shaped web pattern wheel with three sections of tangent arcs Property structure, it is ensured that railway S-shaped web wheel has rational rigidity and intensity.

Accompanying drawing explanation

Fig. 1 is the rail vehicle S-shaped web pattern wheel schematic diagram of three sections of tangent arcs of band of the present invention；

Fig. 2 is profile organigram inside the spoke of three sections of tangent arc S-shaped web pattern wheels of band of the present invention；

Fig. 3 is the spoke lateral profile organigram of three sections of tangent arc S-shaped web pattern wheels of band of the present invention；

Fig. 4 is that the present invention is a kind ofRail vehicle S-shaped web pattern wheel with three sections of tangent arcs；

Fig. 5 is that the present invention is a kind ofRail vehicle S-shaped web pattern wheel with three sections of tangent arcs.

Detailed description of the invention

Below in conjunction with the accompanying drawings the detailed description of the invention of the present invention is further described.

As shown in Figure 1, Figure 2 and Figure 3, the rail vehicle S-shaped web pattern wheel of three sections of tangent arcs of band of the present invention, by Wheel rim district 1, disc district 2, wheel hub district 3, wheel rim-spoke transition region 4 and wheel hub-spoke transition region 5 form.Described wheel rim district 1 by Wheel rim thickness H_R, rim width W_RAnd the region that wheel rim-tread profile surrounds；Described wheel hub district 3 is by hub thickness H_G, wheel hub width Degree W_GWith pore radius R_GThe region surrounded；Described disc district 2 and wheel rim-spoke transition region 4, wheel hub-spoke transition region 5, by disc Center w up and down_GAnd w_R, according to web thickness size w₁、w₂And w₃Requirement, several according to specification step and three sections of tangent arcs What mathematical programming determines.

Further, described wheel rim-spoke transition region 4, elementary contour comprise disc lower center inside wheel rim away from From w_R, highly H₁With minimum spoke thickness w₁Three parameters, it is θ that inner side includes oblique angle₁Terminal is at e₂Straight line taper seat and half Footpath is rf₁Central angle is af₁E₂-d₁The circular arc conical surface；It is ω that outside includes oblique angle₂Taper seat, terminal are at E₄Straight line circular cone Face and radius are RF₂, central angle be AF₂E₄-D₄The circular arc conical surface；Point d₁-D₁Be in same level, spacing be steamboat Spoke thickness w₁, meet geometry teaching regular:

During with inner side for foundation, inner side profile may select rf₁And θ₁Determining, lateral profile can be according to H₁Select RF₂Or ω₂Really Fixed

H₁=(w_R-w₁/2-rf₁sinθ₁)tgθ₁+rf₁cosθ₁ (1)

During with outside for foundation, lateral profile may select RF₂And ω₂Determining, inner side profile can be according to H₁Select rf₁Or θ₁Really Fixed

H₁=(W_R-w_R-w₁/2-RF₂sinω₂)tgω₂+RF₂cosω₂ (2)

Further, described wheel hub-spoke transition region 5, elementary contour comprise disc upper end center inside wheel hub away from From w_G, highly H₂With maximum web thickness w₃Three parameters, it is θ that inner side includes oblique angle₂, terminal is at e₄Straight line taper seat and half Footpath is rf₂, central angle be af₂E₄-d₄The circular arc conical surface；It is ω that outside includes oblique angle₁, terminal is at E₂Straight line taper seat and Radius is RF₁, central angle be AF₁E₂-D₁The circular arc conical surface；Point d₄-D₄Be in same level, spacing be maximum spoke Thickness w₃, meet geometry teaching regular:

During with inner side for foundation, inner side profile may select rf₂And θ₂Determining, outside is according to H₂Select RF₁Or ω₁Determine profile

H₂=(w_G-w₃/2-rf₂sinθ₂)tgθ₂+rf₂cosθ₂ (3)

During with outside for foundation, lateral profile may select RF₁And ω₁Determining, inner side is according to H₂Select rf₂Or θ₂Determine

H₂=(W_G-w₃/2-w_G-RF₁cosω₁)tgω₁+RF₁cosω₁ (4)

Further, described disc district 2, elementary contour comprises width H, highly h and web thickness w₁、w₂、w₃Five ginsengs Number, interior outside is respectively made up of three sections of tangent arcs.Wherein, described width H for wheel centering left and right wheels-rail contact points away from car Spoke plate upper end center away from difference 1/2nd, be also equal to the distance at the upper and lower center of disc:

H=(D_C-D_WS)/2 (5)

Described height dimension h is:

H=R_W-H_W-R_G-H_G-H₁-H₂ (6)

Inside described disc 2, profile comprises d₁-d₂、d₂-d₃And d₃-d₄Three sections of tangent arcs, meet following geometry number respectively Learn rule

d₁-d₂Section, is determined a by following formula₁After determine r₁I.e. can determine that

$\left\{\begin{array}{c}\[\left(H+w_2\cos \mathrm{\β}-w_1\right)/\left(h-w_2\cos \mathrm{\β}\right)\]\sin a_1+\cos a_1=1\\ r_1=0.5\left(h-w_2\cos \mathrm{\β}\right)/\sin a_1\end{array}\right.---\left(7\right)$

d₂-d₃-d₄Section, is selected a by following formula₃After determine a₂, and then determine radius r₂And r₃Can determine that

$\left\{\begin{array}{c}{a}_2=a_1-a_3\\ r_3-r_3{\mathrm{cosa}}_3+r_2({\mathrm{cosa}}_3-{\mathrm{cosa}}_1)=(H+w_3-w_{2}cos\mathrm{\β})/2\\ r_3{\mathrm{sina}}_3+r_2({\mathrm{sina}}_1-{\mathrm{sina}}_3)=(h+w_2\sin \mathrm{\β})/2\end{array}\right.---\left(8\right)$

Described disc 2 lateral profile comprises D₁-D₂、D₂-D₃And D₃-D₄Three sections of tangent arcs, meet following geometry number respectively Learn rule

D₁-D₂Section, is determined A by following formula₁After determine R₁I.e. can determine that

$\left\{\begin{array}{c}\[(H+w_{2}cos\mathrm{\β}-w_3)/(h-w_{2}cos\mathrm{\β})\]\sin A_1+\cos A_1=1\\ R_1=0.5(h-w_{2}cos\mathrm{\β})/\sin A_1\end{array}\right.---\left(9\right)$

D₂-D₃-D₄Section, is selected A by following formula₃After determine A₂, and then determine radius R₂And R₃Can determine that

$\left\{\begin{array}{c}{A}_2=A_1-A_3\\ R_3-R_3{\mathrm{cosA}}_3+R_2({\mathrm{cosA}}_3-{\mathrm{cosA}}_1)=(H+w_3-w_{2}cos\mathrm{\β})/2\\ R_3{\mathrm{sinA}}_3+R_2({\mathrm{sinA}}_1-{\mathrm{sinA}}_3)=(h+w_{2}sin\mathrm{\β})/2\end{array}\right.---\left(10\right)$

Described β is the angle of disc district 2 centrage and vertical line, i.e. tg β=H/h；

From above-mentioned disc district 2 and and the determination process of wheel rim-spoke transition region 4, wheel hub-spoke transition region 5 profile include, Determine disc center parameter w_RAnd w_GAnd thickness parameter w₁、w₂、w₃, select transition arc radius rf₁-straight line taper angle theta₁、d₃- d₄The central angle a of section circular arc₃With transition arc radius rf₂-straight line taper angle theta₂Determine the profile inside wheel spoke, select transition Arc radius RF₁Or straight line cone angle ω₁、D₃-D₄The central angle A of circular arc₃With transition arc radius RF₂Or straight line cone angle ω₂Determine Spoke lateral profile.

As shown in Figure 4, a kind ofWith the rail vehicle S-shaped web pattern wheel of three sections of tangent arcs, by wheel rim district 1, Disc district 2, wheel hub district 3, wheel rim-spoke transition region 4 and wheel hub-spoke transition region 5.Use wheel rim-disc-wheel hub structure basic Symmetric scheme design, described wheel rim district 1 comprise width be 135mm, inside and outside thickness is 65～68.5mm and wheel rim-tread profile encloses The region become；Described wheel hub 3 comprise width be 170mm, thickness is 54mm and pore radius is the region of R92；Described wheel rim-disc Transition region 4, comprises the district of disc is centrally located at inside wheel rim at 70mm, interior outside height is respectively 41.1～37.6mm Territory, its Internal periphery by the straight line conical surface and then radius that oblique angle is 11 ° be R37 central angle be that the circular arc conical surface of 79.5 ° forms, its Outline by the straight line conical surface and then radius that oblique angle is 8 ° be R35 central angle be that the circular arc conical surface of 81.5 ° forms；Described take turns Hub-disc transition region 5, comprises the region of the 33.7mm that disc is centrally located at inside wheel hub at 80mm, interior outside height is all, Inside it profile by the straight line conical surface and then radius that oblique angle is 8 ° be R51 central angle be that the circular arc conical surface of 81.4 ° forms, outside it Profile by the straight line conical surface and then radius that oblique angle is 8 ° be R52 central angle be that the circular arc conical surface of 82.3 ° forms；Described disc district 2, comprise 114.2mm, the region of centre-to-centre spacing 25mm symmetrical above and below that interior outside height is all, inside it, profile by radius is R120-central angle is 26.7 °, radius be R120-central angle be 14.7 ° and radius be R140-central angle be that three sections of 12 ° are tangent Arc surface forms, its lateral profile by radius be R132-central angle be 24 °, radius be R120-central angle be 10.5 ° and radius For three sections of tangent circle cambered surface compositions that R160.5-central angle is 13.5 °；Described disc district 2 centrage with the angle β of vertical line is 12.35°。

As it is shown in figure 5, it is a kind ofWith the rail vehicle S-shaped web pattern wheel of three sections of tangent arcs, by wheel rim district 1, Disc district 2, wheel hub district 3, wheel rim-spoke transition region 4 and wheel hub-spoke transition region 5.Use wheel rim-web pattern symmetry, wheel Hub-spoke unsymmetric structure conceptual design, described wheel rim district 1 comprise width be 135mm, thickness is 50mm and wheel rim-tread wheel The region that exterior feature surrounds；Described wheel hub 3 comprise width be 178mm, thickness is 44mm and pore radius is the region that R111 surrounds；Described Wheel rim-disc transition region 4, comprises the region of the 51mm that disc is centrally located at inside wheel rim at 56mm, interior outside height is all, Inside it profile by the straight line conical surface and then radius that oblique angle is 20 ° be R50 central angle be that the circular arc conical surface of 64 ° forms, outside it Side profile by the straight line conical surface and then radius that oblique angle is 20 ° be R38 central angle be that the circular arc conical surface of 70 ° forms；Described wheel hub- Disc transition region 5, comprises the district that disc is centrally located at inside wheel hub at 60.5mm, comprises the 49.8mm that interior outside height is all Territory, inside it profile by the straight line conical surface and then radius that oblique angle is 24 ° be R44 central angle be that the circular arc conical surface of 66 ° forms, its Lateral profile by the straight line conical surface and then radius that oblique angle is 12 ° be R34 central angle be that the circular arc conical surface of 78 ° forms；Described spoke Plate 2, comprises 151.7mm, the region of centre-to-centre spacing 63mm symmetrical above and below that interior outside height is all, and inside it, profile comprises radius and is R95.5-central angle is 47.8 °, radius be R95-central angle be 23.7 ° and radius be R120.5-central angle be three sections of 24.1 ° Tangent circle cambered surface forms, its outline comprise radius be R99-central angle be 45.8 °, radius be R100-central angle be 25 ° and half Footpath be R125.5-central angle be three sections of tangent circle cambered surfaces composition of 20.8 °；Described disc district 2 centrage and the angle β of vertical line It it is 22.55 °.

Claims (1)

1. the rail vehicle S-shaped web pattern wheel with three sections of tangent arcs, described wheel by the wheel rim district (1) being sequentially connected with, Wheel rim-spoke transition region (4), disc district (2), wheel hub-spoke transition region (5) and wheel hub district (3) composition；

Described wheel rim-spoke transition region (4) is the region gradually narrowed to disc district (2) from wheel rim district (1), wheel rim-spoke mistake The both sides crossing district (4) are arc；The arc of described wheel rim-spoke transition region (4) side is straight by the first circular arc conical surface and first Line-cone face is constituted, and the described first circular arc conical surface is to be with the side junction point of disc district (2) with wheel rim-spoke transition region (4) Starting point, radius is rf₁, central angle be af₁The circular arc conical surface；The oblique angle of described first straight line taper seat is θ₁, starting point be wheel rim district (1) with the junction point of wheel rim-spoke transition region (4) side, the terminal of the first straight line taper seat and the terminal of the first circular arc conical surface Connect；The arc of wheel rim-spoke transition region (4) opposite side is made up of the second circular arc conical surface and the second straight line taper seat；Described The two circular arc conical surfaces be the opposite side junction point with wheel rim-spoke transition region (4) and disc district (2) as starting point, radius is RF₂In, Heart angle is AF₂The circular arc conical surface；The oblique angle of described second straight line taper seat is ω₂, starting point be wheel rim district (1) and wheel rim-spoke mistake Cross the junction point of district (4) opposite side；The terminal of the second circular arc conical surface and the terminal of the second straight line taper seat connect；Described first circle The arc conical surface, the first straight line taper seat, the second circular arc conical surface and the second straight line taper seat are positioned at same level, described wheel rim-wheel Minimum spacing between spoke transition region (4) both sides is assumed to be w₁, then the height H of wheel rim-spoke transition region (4)₁Meet following bar Part:

When wheel rim-spoke transition region (4) is with side for foundation, this side profile is according to rf₁And θ₁Determine, opposite side profile according to H₁Select RF₂Or ω₂Determine according to equation below 1:

H₁=(w_R-w₁/2-rf₁sinθ₁)tgθ₁+rf₁cosθ₁(formula 1)

When wheel rim-spoke transition region (4) is with opposite side for foundation, this side profile is according to RF₂And ω₂Determine, a side profile according to H₁Select rf₁Or θ₁Determine according to equation below 2:

H₁=(W_R-w_R-w₁/2-RF₂sinω₂)tgω₂+RF₂cosω₂(formula 2)

Described wheel hub-spoke transition region (5) is the region gradually narrowed to disc district (2) from wheel hub district (3), described wheel hub-wheel The both sides of spoke transition region (5) are arc；The arc of described wheel hub-spoke transition region (5) side is by the three-arc conical surface and Three straight line taper seats are constituted, and the described three-arc conical surface is to be connected with the side of disc district (2) with wheel hub-spoke transition region (5) Point is starting point, and radius is rf₂, central angle be af₂The circular arc conical surface；The oblique angle of described first straight line taper seat is θ₂, starting point for wheel The junction point of hub district (3) and wheel hub-spoke transition region (5) side, the terminal of the 3rd straight line taper seat and the three-arc conical surface Terminal connects；The arc of wheel hub-spoke transition region (5) opposite side is made up of the 4th circular arc conical surface and the 4th straight line taper seat；Institute State the 4th circular arc conical surface be the opposite side junction point with wheel hub-spoke transition region (5) and disc district (2) as starting point, radius is RF₁, central angle be AF₁The circular arc conical surface；The oblique angle of described 4th straight line taper seat is ω₁, starting point be wheel hub district (3) with wheel hub- The junction point of spoke transition region (5) opposite side；The terminal of the 4th circular arc conical surface and the terminal of the 4th straight line taper seat connect；Described The three-arc conical surface, the 3rd straight line taper seat, the 4th circular arc conical surface and the 4th straight line taper seat are positioned at same level, described take turns Minimum spacing between hub-spoke transition region (5) both sides is assumed to be w₃, then the height H of wheel rim-spoke transition region (4)₂Meet such as Lower condition:

When being foundation with wheel hub-spoke transition region (5) side, this side profile is according to rf₂And θ₂Determining, opposite side is according to H₂Select RF₁Or ω₁Determine according to equation below 3:

H₂=(w_G-w₃/2-rf₂sinθ₂)tgθ₂+rf₂cosθ₂(formula 3)

When being foundation with wheel hub-spoke transition region (5) opposite side, this side profile is according to RF₁And ω₁Determining, side is according to H₂Select rf₂Or θ₂Determine according to equation below 4:

H₂=(W_G-w₃/2-w_G-RF₁cosω₁)tgω₁+RF₁cosω₁(formula 4)

Described disc district (2) is for connecting wheel rim-spoke transition region (4) and the region of wheel hub-spoke transition region (5), described disc The both sides in district (2) are respectively made up of three sections of tangent arcs, if the level that the width H of disc district (2) is up and down center, disc district (2) away from From, calculated by equation below 5:

H=D_C-D_wS(formula 5)

Described Dc is the horizontal range under disc district (2) inside center and rim for automobile wheel, and Dws is upper center, disc district (2) and car Horizontal range inside wheel wheel rim；

The height dimension h of described disc district (2) calculates according to equation below 6:

H=R_w-H_w-R_G-H_G-H₁-H₂(formula 6)

Described Rw is radius of wheel, and Hw is the wheel rim thickness in wheel rim district (1), R_GFor the radius of the wheel bore in wheel hub district 3, H_GFor wheel The hub thickness in hub district (3)；

One side profile of described disc district (2) comprises three sections of tangent arcs, meets following geometrical condition respectively:

First paragraph, is determined center of circle a by equation below 7₁After determine radius r₁I.e. can determine that

Second segment and the 3rd section, selected center of circle a by equation below 8₃After determine center of circle a₂, and then determine radius r₂With radius r₃Can be true Fixed:

Described disc district (2) opposite side profile comprises three sections of tangent arcs, meets following geometrical condition respectively:

First paragraph, is determined center of circle A by following formula₁After determine radius R₁I.e. can determine that

Second segment and the 3rd section, selected A by following formula₃After determine A₂, and then determine radius R₂And R₃Can determine that

Described β is the angle of disc district (2) centrage and vertical line, i.e. tg β=H/h.