CN113420394A - Design method of arc threaded connection pair - Google Patents

Design method of arc threaded connection pair Download PDF

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CN113420394A
CN113420394A CN202110796784.3A CN202110796784A CN113420394A CN 113420394 A CN113420394 A CN 113420394A CN 202110796784 A CN202110796784 A CN 202110796784A CN 113420394 A CN113420394 A CN 113420394A
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thread
arc
circular arc
section
tangent
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CN113420394B (en
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杨中桂
都军民
王自强
刘萍
白洁
丁永春
张永
赵绍谚
李梦晗
王志敏
赵智垒
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713rd Research Institute Of China Shipbuilding Corp ltd
China Shipbuilding Haiwei High Tech Co ltd
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713th Research Institute of CSIC
CISC Haiwei Zhengzhou High Tech Co Ltd
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Abstract

The invention relates to a design method of a circular arc threaded connection pair. When the parameters of the circular arc thread connecting pair are designed, the parameters of the outer circular arc thread satisfy 0.13< k <0.2 and 0.2< M <0.3, the parameters of the inner circular arc thread satisfy 0.29< M <0.37 and 0.3< s <0.36, and the fit clearance of the circular arc thread connecting pair is checked by 0.6< n <0.8, so that the design efficiency of the structural parameters of the outer circular arc thread and the inner circular arc thread can be greatly improved, the times of repeated tests are reduced, and the technical problem of low thread parameter design efficiency of the conventional circular arc thread connecting pair is solved.

Description

Design method of arc threaded connection pair
Technical Field
The invention relates to a design method of a circular arc threaded connection pair.
Background
The thread connection is a common mechanical connection mode, has the advantages of simple structure, reliable connection, convenient assembly and disassembly and the like, and the thread tooth form of the existing thread can be divided into triangular threads, zigzag threads, trapezoidal threads, pipe threads and the like. The technical requirements and the dimensional specifications of the high-strength anchor bolt connecting pair for the M20-M64 steel structure are specified in the high-strength anchor bolt connecting pair for the steel structure (GB/T33943-2017), and common metric threads, namely triangular threads, are adopted. The technical requirements for mounting the threaded connection pair of the M6-M64 bolt, the screw, the stud and the nut in the wind power generation set are specified in the technical requirements for mounting the high-strength threaded connection pair of the wind power generation set (GB/T33628 and 2017), and common-purpose common meter-made threads are also adopted. Under the general condition, the precision of thread matching is 6g/6H, and in the actual use process, once threads collide, normal threaded connection is influenced.
The common meter-made thread is usually processed by rolling, the requirement on the dimensional tolerance of the material is high, the processing difficulty is increased, and the requirement on the mounting precision of a thread mounting pair is high after subsequent surface anticorrosion treatment. According to the existing common-use metric thread tooth type, the connection between a bolt and a nut and between an anchor bolt and the nut is not smooth enough, the stress concentration phenomenon is easy to generate, the bolt is easy to break or loosen under the action of high-frequency reciprocating dynamic loads of a wind generating set in a normal working state and the like, once the bolt fails, manual maintenance is difficult to find in time, and certain engineering hidden dangers exist.
The Chinese patent with the publication number of CN209818480U and the Chinese patent application with the publication number of CN109967982A both disclose an arc thread connection pair, and the arc thread adopts a large thread pitch and unequal tooth thickness, so that stress concentration can be reduced, fatigue performance is improved, and processing cost is lower. However, at present, the structural parameters of the thread still need to be tested and verified repeatedly in the design process, and the design efficiency of the structural parameters of the thread is low.
Disclosure of Invention
The invention aims to provide a design method of an arc threaded connection pair, which is used for improving the design efficiency of structural parameters of the arc threaded connection pair.
The design method of the outer circular arc thread adopts the following technical scheme:
the design method of the circular arc threaded connection pair comprises the following steps:
1) establishing a coordinate system according to the outline curve of the outer arc thread and the outline curve of the inner arc thread, and solving an outline curve equation of the outer arc thread and an outline curve equation of the inner arc thread;
2) determining the size of each part parameter of the outer arc thread and the inner arc thread;
3) taking n as (D-D)1)/(D-d1)，D1Is the minor diameter of the inner circular thread, D is the major diameter of the inner circular thread, D1The diameter is the minor diameter of the outer arc thread, and d is the major diameter of the outer arc thread; n is the circular arc threaded connection fit clearance coefficient, satisfies: 0.6<n<0.8, checking whether the fit clearance of the arc threaded connection pair meets the requirement through n;
in the step 1), the outer circular arc thread contour line is composed of a first crest arc section, an outer thread first tangent section, an outer thread root arc section, an outer thread second tangent section and a second crest arc section in sequence, the first crest arc section and the outer thread root arc section have the same radius, and the outer thread first tangent section and the outer thread second tangent section are respectively tangent to the first crest arc and the outer thread root arc;
the inner arc thread contour line consists of a first root arc section, an inner thread first tangent section, a straight line section and an inner threadThe thread second tangent line section and the second root arc section are sequentially connected, the straight line section is parallel to the central axis of the inner circular arc thread, the first root arc section is tangent to the first tangent line section of the inner thread, and the second root arc section is tangent to the second tangent line section of the inner thread; the first root arc section and the second root arc section are both internal thread root arc sections with equal radius and are both r2；
In step 2), k is taken as p/d2K is the distance-diameter ratio of the external arc thread, and m is r1M is the circular arc coefficient of the external arc thread; p is the pitch of the outer circular arc thread, d2Is the pitch diameter of the outer circular arc thread r1Is the arc radius of the external arc thread;
the parameters of the external arc thread satisfy: 0.13< k <0.2 and 0.2< m < 0.3;
selecting parameters of the outer circular arc thread according to the values of k and m;
in step 2), taking M ═ r2M is the arc coefficient of the inner thread root arc section, and S is taken as S2the/P, s is the tooth width coefficient of the inner arc thread; p is the pitch of the inner arc thread, P is P, S2The tooth width of the inner circular arc thread is shown;
the parameters of the inner circular arc thread satisfy: 0.29< M <0.37, 0.3< s < 0.36;
and selecting parameters of the inner circular arc threads according to the values of s and M.
Has the advantages that: when the parameters of the circular arc thread connection pair are designed, the parameters of the outer circular arc thread satisfy 0.13< k <0.2 and 0.2< M <0.3, the parameters of the inner circular arc thread satisfy 0.29< M <0.37 and 0.3< s <0.36, and the fit clearance of the circular arc thread connection pair is checked by n, so that the design efficiency of the structural parameters of the outer circular arc thread and the inner circular arc thread can be greatly improved, the times of repeated tests are reduced, and the technical problem of low design efficiency of the current parameters of the outer circular arc thread is solved.
Further, in step 1), the central axis of the outer arc thread is taken as a transverse axis, a straight line which is perpendicular to the central axis of the outer arc thread and is at the center of the first crest arc segment is taken as a longitudinal axis, and the distance from the midpoint of the first tangent segment of the outer thread to the central axis of the outer arc thread is taken as the outer arc threadDiameter in the line d2Half of (i.e. d)2The first tangent line of the external thread passes through (p/4, d)22) the second section of the external thread passes through (3p/4, d)2/2)；
The equation for the first tangent segment of the external thread is:
Figure BDA0003163099000000031
the equation of the second tangent line segment of the external thread is as follows:
Figure BDA0003163099000000032
the first crest arc segment passing point (0, c)1) And the circles of the first tangent line segment of the external thread and the first crest arc segment both pass through the tangent point (r)1·/sin(θ1/2),r1·sin(θ1/2)-p/4·cot(θ1/2)-d2/2) determining c1The value:
Figure BDA0003163099000000033
the equation for the first crest arc segment may be expressed as:
Figure BDA0003163099000000034
the circular arc section of the external thread root passes through the point (p/2, c)2) And the circles of the first tangent segment of the external thread and the circular arc segment of the root of the external thread pass through the tangent point (P/2-r)1·cosθ1/2,p/4·cotθ1/2-r1·sinθ1/2+d2C/2) can be obtained2The value:
Figure BDA0003163099000000035
the equation for the root arc segment of the external thread can be expressed as:
Figure BDA0003163099000000036
in step 2), the major diameter d and the minor diameter d of the external arc thread3H tooth height1And stress cross section area AtBy the pitch diameter d of the outer circular arc thread2Pitch p, profile angle theta1And the arc radius r of the outer arc thread1Is represented as follows:
major diameter d of the outer circular arc thread:
Figure BDA0003163099000000041
minor diameter d of outer arc thread1：
Figure BDA0003163099000000042
Height h of outer arc thread1：
Figure BDA0003163099000000043
Stress sectional area A of outer circular arc threadt：
Figure BDA0003163099000000044
Trial taking the pitch diameter d of the outer circular arc thread2Pitch p, profile angle theta1And the arc radius r of the outer arc thread1The value of (3) satisfies the pitch-diameter ratio k and the arc coefficient m of the crest of the outer arc thread, and the size of each part parameter of the outer arc thread is calculated.
And further, selecting parameters of the outer arc threads according to the k value, and then verifying whether the selected parameters of the outer arc threads meet the requirements or not according to the m value. And the design efficiency of the outer arc thread is improved.
And further, selecting parameters of the outer arc threads according to the m value, and then verifying whether the selected parameters of the outer arc threads meet the requirements or not according to the k value. And the design efficiency of the outer arc thread is improved.
Further, in the step 1), the central axis of the inner arc thread is taken as a transverse axis, a straight line which is perpendicular to the central axis of the inner arc thread and is formed at the center of the first root arc section is taken as a longitudinal axis, and the tooth width of the inner arc thread is S2The pitch diameter of the inner circular arc thread is D2；
The equation of the first tangent segment of the internal thread is:
Figure BDA0003163099000000045
the equation of the second tangent line segment of the internal thread is as follows:
Figure BDA0003163099000000046
the circular arc center coordinate of the inner thread root is (0, c)3) Passing through the tangent point (r) intersected with the first tangent line segment of the internal thread2·cosθ2/2,r2·sinθ2/2-(P-S2)/2·cotθ1/2-D2/2) determining c3；
Figure BDA0003163099000000051
The first root arc segment curve equation is:
Figure BDA0003163099000000052
and when the straight line section passes through the center of the crest arc, the equation of the straight line section is as follows:
Figure BDA0003163099000000053
major diameter D of inner arc thread and minor diameter D of inner arc thread1Inner arc thread height H2And the tooth crest width w can be passed through D by means of internal circular-arc screw2Radius r of inner thread root arc segment2Tooth form angle theta2Pitch P and tooth width S2To illustrate, the various parameters of the inner circular thread can be represented by the following equations:
inner arc thread major diameter D:
Figure BDA0003163099000000054
minor diameter D of inner arc thread1：
Figure BDA0003163099000000055
Inner arc thread height H2：H2＝r2
The crest width w of the inner circular arc thread is:
Figure BDA0003163099000000056
trial taking the inner arc thread middle warp D2Pitch P, radius r of the circular arc segment at the root of the internal thread2Tooth width S2And the arc coefficient of the arc section of the inner thread root and the tooth width coefficient of the inner arc thread are met, and the size of each part parameter of the inner arc thread is calculated.
And further, selecting parameters of the inner circular arc threads according to the M value, and then verifying whether the selected parameters of the inner circular arc threads meet the requirements or not according to the s value. The design efficiency of the inner arc threads is improved.
And further, selecting parameters of the inner circular arc threads according to the s value, and then verifying whether the selected parameters of the inner circular arc threads meet the requirements or not according to the M value. The design efficiency of the inner arc threads is improved.
Furthermore, the pitch diameter, the profile angle and the thread pitch of the inner arc thread and the outer arc thread are equal, and after the parameters of the outer arc thread are determined, the pitch diameter, the profile angle and the thread pitch of the inner arc thread are determined according to the parameters of the outer arc thread.
Drawings
Fig. 1 is a schematic view of an outer circular arc thread contour line in embodiment 1 of the method for designing a circular arc threaded connection pair of the present invention;
FIG. 2 is a schematic view of the inner circular thread contour line in embodiment 1 of the method for designing a circular-arc threaded connection pair of the present invention;
FIG. 3 is a schematic diagram of an equation curve of the contour line of the outer circular-arc thread in the specific embodiment 1 of the method for designing a circular-arc threaded connection pair according to the present invention;
FIG. 4 is a schematic diagram of an equation of the contour line of an inner circular thread in embodiment 1 of the method for designing a circular-arc threaded connection pair according to the present invention;
in the figure: 1. a first crest arc segment; 2. a first tangent line section of the external thread; 3. an external thread root arc section; 4. a second external thread tangent line segment; 5. a second crest arc segment; 6. a first root arc segment; 7. a first tangent line segment of the internal thread; 8. a straight line segment; 9. a second internal thread tangent line segment; 10. a second root arc segment.
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention more apparent, the present invention is described in further detail below with reference to the accompanying drawings and embodiments. It should be understood that the detailed description and specific examples, while indicating the preferred embodiment of the invention, are intended for purposes of illustration only and are not intended to limit the scope of the invention. The components of embodiments of the present invention generally described and illustrated in the figures herein may be arranged and designed in a wide variety of different configurations.
Thus, the following detailed description of the embodiments of the present invention, presented in the figures, is not intended to limit the scope of the invention, as claimed, but is merely representative of selected embodiments of the invention. All other embodiments, which can be derived by a person skilled in the art from the embodiments of the present invention without making any creative effort, shall fall within the protection scope of the present invention.
It is noted that relational terms such as "first" and "second," and the like, may be used solely to distinguish one entity or action from another entity or action without necessarily requiring or implying any actual such relationship or order between such entities or actions. Also, the terms "comprises," "comprising," or any other variation thereof, are intended to cover a non-exclusive inclusion, such that a process, method, article, or apparatus that comprises a list of elements does not include only those elements but may include other elements not expressly listed or inherent to such process, method, article, or apparatus. Without further limitation, an element defined by the phrase "comprising an … …" does not exclude the presence of other identical elements in a process, method, article, or apparatus that comprises the element.
The features and properties of the present invention are described in further detail below with reference to examples.
The specific embodiment 1 of the design method of the circular arc threaded connection pair of the present invention:
the design method of the circular arc threaded connection pair comprises the following steps:
1) establishing a coordinate system according to the outline curve of the outer arc thread and the outline curve of the inner arc thread, and solving an outline curve equation of the outer arc thread and an outline curve equation of the inner arc thread;
2) determining the size of each part parameter of the outer arc thread and the inner arc thread;
3) taking n as (D-D)1)/(D-d1)，D1Is the minor diameter of the inner circular thread, D is the major diameter of the inner circular thread, D1The diameter is the minor diameter of the outer arc thread, and d is the major diameter of the outer arc thread; n is the circular arc threaded connection fit clearance coefficient, satisfies: 0.6<n<0.8; and checking whether the fit clearance of the arc threaded connection pair meets the requirement through n.
As shown in fig. 1 and 3, in step 1), the outer circular arc thread contour line is sequentially composed of a first crest circular arc segment 1, an outer thread first tangent segment 2, an outer thread root circular arc segment 3, an outer thread second tangent segment 4 and a second crest circular arc segment 5, the first crest circular arc segment 1 and the outer thread root circular arc segment 3 have the same radius, and the outer thread first tangent segment 2 and the outer thread second tangent segment 4 are respectively tangent to the first crest circular arc segment 1 and the outer thread root circular arc segment 3;
as shown in fig. 2 and 4, in the step 1), the inner circular arc thread contour line is formed by sequentially connecting a first root circular arc section 6, an inner thread first tangent section 7, a straight line section 8, an inner thread second tangent section 9 and a second root circular arc section 10, wherein the straight line section 8 is parallel to the central axis of the inner circular arc thread, the first root circular arc section 6 is tangent to the inner thread first tangent section 7, and the second root circular arc section 10 is tangent to the inner thread second tangent section 9; the first root arc section 6 and the second root arc section 10 are both internal thread root arc sections with equal radius, and are both r2；
In step 2), k is taken as p/d2K is the distance-diameter ratio of the external arc thread, and m is r1M is the circular arc coefficient of the external arc thread; p is the pitch of the outer circular arc thread, d2The pitch diameter of the external arc thread and the arc radius r of the external thread1；
The parameters of the external arc thread satisfy: 0.13< k <0.2 and 0.2< m < 0.3;
and selecting parameters of the outer circular arc thread according to the values of k and m. The specific mode is that the parameters of the outer arc thread are selected according to the k value, and then whether the selected parameters of the outer arc thread meet the requirements or not is verified according to the m value.
In step 2), taking M ═ r2M is the arc coefficient of the inner thread root arc section, and S is taken as S2the/P, s is the tooth width coefficient of the inner arc thread; p is the pitch of the inner circular thread, S2Represents the tooth width;
the parameters of the inner circular arc thread satisfy: 0.29< M <0.37, 0.3< s < 0.36; and selecting parameters of the inner circular arc threads according to the values of s and M. The specific mode is that the parameters of the inner circular arc threads are selected according to the M value, and then whether the selected parameters of the inner circular arc threads meet the requirements or not is verified according to the s value.
In the step 1), the central axis of the external arc thread is taken as a transverse axis, and the center of the first crest arc segment 1 is perpendicular to the transverse axisA straight line which is vertical to the central axis of the outer arc thread is taken as a longitudinal axis, and the distance from the midpoint of the first tangent line section 2 of the outer thread to the central axis of the outer arc thread is the intermediate diameter d of the outer arc thread2Half of (i.e. d)2The first thread section 2 of the external thread passes through (p/4, d)22), the second external thread section 4 passes through (3p/4, d)2/2)；
The equation for the first tangent line section 2 of the external thread is:
Figure BDA0003163099000000081
the equation of the external thread second tangent line segment 4 is:
Figure BDA0003163099000000082
the first crest arc segment 1 passes through the point (0, c)1) And the circles of the first tangent section 2 of the external thread and the first crest arc section 1 both pass through the tangent point (r)1·/sin(θ1/2),r1·sin(θ1/2)-p/4·cot(θ1/2)-d2/2) determining c1The value:
Figure BDA0003163099000000083
the equation for the first crest arc segment 1 can be expressed as:
Figure BDA0003163099000000084
the external thread root arc section 3 passes through the point (p/2, c)2) And the circles of the first tangent section 2 of the external thread and the circular arc section 3 of the root of the external thread pass through the tangent point (P/2-r)1·cosθ1/2,p/4·cotθ1/2-r1·sinθ1/2+d2C/2) can be obtained2The value:
Figure BDA0003163099000000085
the equation for the root arc segment 3 of the external thread can be expressed as:
Figure BDA0003163099000000086
in step 2), the major diameter d and the minor diameter d of the external arc thread1H tooth height1And stress cross section area AtBy the pitch diameter d of the outer circular arc thread2Pitch p, profile angle theta1And the radius r of the circular arc of the external thread1Is represented as follows:
major diameter d of the outer circular arc thread:
Figure BDA0003163099000000091
minor diameter d of outer arc thread1：
Figure BDA0003163099000000092
Height h of outer arc thread1：
Figure BDA0003163099000000093
Stress sectional area A of outer circular arc threadt：
Figure BDA0003163099000000094
Trial taking the pitch diameter d of the outer circular arc thread2Pitch p, profile angle theta1And the arc radius r of the outer arc thread1The value of (d) satisfies the pitch-diameter ratio k of the outer arc thread and the crest arc coefficient m of the outer arc thread, the size of each part parameter of the outer arc thread is calculated, and the size of each part parameter of the outer arc thread can be calculated according to the formulaIs small.
The following examples illustrate:
trial taking the outer circular arc thread middle pass d245mm, 60 degrees of tooth form angle, and the optimal value range of the pitch p is 6.75mm<p<9mm, trying to obtain the pitch p of the external arc thread as 8.5mm, and the optimal value range of the crest arc radius as 1.7mm<r1<2.55mm, crest arc radius r1For 2mm, the parameters of the outer circular arc thread can be calculated:
d＝48.4mm；
d1＝41.6mm；
h1＝3.36mm；
At＝1474mm2；
trial taking the outer circular arc thread middle pass d239mm, a tooth form angle of 60 degrees, and an optimal value range of the pitch p of 5.85mm<p<7.8mm, trying to obtain the pitch p of the external arc thread as 6.35mm, and the optimal value range of the crest arc radius as 1.27mm<r1<1.9mm, crest arc radius r1At 1.5mm, the parameters of the outer circular arc thread can be calculated.
d＝41.5mm；
d1＝36.5mm；
h1＝2.50mm；
At＝1119mm2；
In the step 1), the central axis of the inner arc thread is taken as a transverse axis, a straight line which is perpendicular to the central axis of the inner arc thread and is formed at the center of the first root arc section 6 is taken as a longitudinal axis, and the tooth width of the inner arc thread is S2The pitch diameter of the inner circular arc thread is D2；
The equation for the first tangent line section 7 of the internal thread is then:
Figure BDA0003163099000000101
the equation for the second tangential line segment 9 of the internal thread is:
Figure BDA0003163099000000102
the circular arc center coordinate of the inner thread root is (0, c)3) Passing through the tangent point (r) intersecting the first tangent line 7 of the internal thread2·cosθ2/2,r2·sinθ2/2-(P-S2)/2·cotθ1/2-D2/2) determining c3；
Figure BDA0003163099000000103
The first root arc segment curve equation is:
Figure BDA0003163099000000104
when the straight line segment 8 passes through the center of the crest arc, the equation of the straight line segment 8 is as follows:
Figure BDA0003163099000000105
major diameter D of inner arc thread and minor diameter D of inner arc thread1Inner arc thread height H2And the tooth crest width w can be passed through D by means of internal circular-arc screw2Radius r of inner thread root arc segment2Tooth form angle theta2Pitch p and tooth width S2To express, the various parameters of the inner circular arc thread can be expressed by the following formulas;
inner arc thread major diameter D:
Figure BDA0003163099000000111
minor diameter D of inner arc thread1：
Figure BDA0003163099000000112
Inner arc screwThread height H2：H2＝r2
The crest width w of the inner circular arc thread is:
Figure BDA0003163099000000113
trial taking the inner arc thread middle warp D2Pitch P, radius r of the circular arc segment at the root of the internal thread2Tooth width S2And the circular arc coefficient M of the circular arc section at the bottom of the internal thread and the tooth width coefficient s of the internal circular arc thread are met, and the size of each part parameter of the internal circular arc thread is calculated.
The following examples illustrate:
the inner arc thread is matched with the outer arc thread for use, and the middle warp D of the inner arc thread2＝d245mm, tooth form angle theta1＝θ260 degrees, the pitch P is 8.5mm, and the radius r of the crest arc2Has a value range of 2.5<r2<3.1, try to get r22.8mm, tooth width S2Has a value range of 2.55<S2<3.06. Trying to obtain S22.9mm, the parameters of the inner circular arc thread can be calculated.
D＝49.1mm；
D1＝43.5mm；
H2＝2.8mm；
w＝2.03mm。
The inner arc thread is matched with the outer arc thread for use, and the middle warp D of the inner arc thread2＝d239mm, tooth form angle theta1＝θ260 degrees, the pitch P is 6.35mm, and the radius r of the crest arc2Has a value range of 2.0<r2<2.3, try to get r22.2mm, tooth width S2Has a value range of 2.0<S2<2.3. Trying to obtain S22.05mm, the parameters of the inner circular arc thread can be calculated.
D＝42.0mm；
D1＝37.6mm；
H2＝2.2mm；
w＝1.27mm。
Verifying the fit clearance of the circular arc threads:
the pitch P of the circular arc thread connection pair is 8.5mm, d is 48.4mm, d1＝41.6mm、D＝49.1mm、D143.5mm, the fit clearance of the circular arc threads is as follows:
n is 0.65, satisfying 0.6< n < 0.8.
The pitch P of the circular arc thread connection pair is 6.35mm, d is 41.5mm, d1＝36.5mm、D＝42mm、D1When the diameter is 37.6mm, the fit clearance of the circular arc threads is as follows:
n is 0.71, satisfying 0.6< n < 0.8.
In the present embodiment, the stress concentration coefficients of the circular arc threaded connection pair under the same working condition at the maximum local stress are provided in table 1.
TABLE 1 screw connection pair parameter comparison table
Figure BDA0003163099000000121
Figure BDA0003163099000000131
Through comparison, M, M, s and n are in an optimal range, the stress concentration coefficient of the inner circular arc thread and the stress concentration coefficient of the outer circular arc thread are minimum, and the mechanical property is excellent.
The invention provides a design method of a high-strength circular arc threaded connection pair, which can design non-standard circular arc threaded connection pairs with different specifications, the circular arc thread tooth forms are used for replacing common rice thread tooth forms, the axial fit clearance is large, the adaptability is strong, when the threads are rolled, the metal plastic deformation area is small, the rolling force is small, the service life of a rolling processing die is long, the rolling processing and manufacturing difficulty is greatly reduced, and the damage phenomenon caused by thread collision in the installation and use process is effectively avoided in the use process.
The specific embodiment 2 of the design method of the circular arc threaded connection pair of the invention is different from the above embodiments only in that: outer circular arc thread design in this embodimentWhen a coordinate system is established in the method, the center axis of the external arc thread is spaced in parallel with the center axis of the external arc thread by a distance d2Is a transverse axis. Similarly, in other embodiments, the transverse axis of the internal arc thread in the coordinate system may be spaced apart from the central axis of the internal arc thread by a distance D2Is measured. In other embodiments, the horizontal axis and the vertical axis of the coordinate system can be changed at will as required, and after the coordinate system is changed, the corresponding thread profile curve equation also needs to be adjusted adaptively.
The specific embodiment 3 of the design method of the circular arc threaded connection pair of the invention is different from the above embodiments only in that: and selecting parameters of the outer arc threads according to the m value, and then verifying whether the selected parameters of the outer arc threads meet the requirements or not according to the k value.
The specific embodiment 4 of the design method of the circular arc threaded connection pair of the invention is different from the above embodiments only in that: and selecting parameters of the outer arc threads according to the s value, and then verifying whether the selected parameters of the outer arc threads meet the requirements or not according to the M value.
The above description is only a preferred embodiment of the present invention, and not intended to limit the present invention, the scope of the present invention is defined by the appended claims, and all structural changes that can be made by using the contents of the description and the drawings of the present invention are intended to be embraced therein.

Claims (8)

1. A design method of an arc threaded connection pair is characterized by comprising the following steps:
1) establishing a coordinate system according to the outline curve of the outer arc thread and the outline curve of the inner arc thread, and solving an outline curve equation of the outer arc thread and an outline curve equation of the inner arc thread;
2) determining the size of each part parameter of the outer arc thread and the inner arc thread;
3) taking n as (D-D)1)/(D-d1)，D1Is the minor diameter of the inner circular thread, D is the major diameter of the inner circular thread, D1The diameter is the minor diameter of the outer arc thread, and d is the major diameter of the outer arc thread; n is the circular arc threaded connection fit clearance coefficient, satisfies: 0.6<n<0.8, byn, checking whether the fit clearance of the arc threaded connection pair meets the requirement;
in the step 1), the outer circular arc thread contour line is composed of a first crest arc section, an outer thread first tangent section, an outer thread root arc section, an outer thread second tangent section and a second crest arc section in sequence, the first crest arc section and the outer thread root arc section have the same radius, and the outer thread first tangent section and the outer thread second tangent section are respectively tangent to the first crest arc and the outer thread root arc;
the inner circular arc thread contour line is formed by sequentially connecting a first root circular arc section, an inner thread first tangent section, a straight line section, an inner thread second tangent section and a second root circular arc section, wherein the straight line section is parallel to the central axis of the inner circular arc thread, the first root circular arc section is tangent to the inner thread first tangent section, and the second root circular arc section is tangent to the inner thread second tangent section; the first root arc section and the second root arc section are both internal thread root arc sections with equal radius and are both r2；
In step 2), k is taken as p/d2K is the distance-diameter ratio of the external arc thread, and m is r1M is the circular arc coefficient of the external arc thread; p is the pitch of the outer circular arc thread, d2Is the pitch diameter of the outer circular arc thread r1Is the arc radius of the external arc thread;
the parameters of the external arc thread satisfy: 0.13< k <0.2 and 0.2< m < 0.3;
selecting parameters of the outer circular arc thread according to the values of k and m;
in step 2), taking M ═ r2M is the arc coefficient of the inner thread root arc section, and S is taken as S2the/P, s is the tooth width coefficient of the inner arc thread; p is the pitch of the inner arc thread, P is P, S2The tooth width of the inner circular arc thread is shown;
the parameters of the inner circular arc thread satisfy: 0.29< M <0.37, 0.3< s < 0.36;
and selecting parameters of the inner circular arc threads according to the values of s and M.
2. The method for designing a circular arc threaded connection pair according to claim 1, wherein in step 1), the circular arc threaded connection pair is to be connected to a screwThe central axis of the outer arc thread is taken as a transverse axis, a straight line which passes through the center of the first crest arc segment and is perpendicular to the central axis of the outer arc thread is taken as a longitudinal axis, and the distance from the midpoint of the first tangent segment of the outer thread to the central axis of the outer arc thread is the intermediate diameter d of the outer arc thread2Half of (i.e. d)2The first tangent line of the external thread passes through (p/4, d)22) the second section of the external thread passes through (3p/4, d)2/2)；
The equation for the first tangent segment of the external thread is:
Figure FDA0003163098990000021
the equation of the second tangent line segment of the external thread is as follows:
Figure FDA0003163098990000022
the first crest arc segment passing point (0, c)1) And the circles of the first tangent line segment of the external thread and the first crest arc segment both pass through the tangent point (r)1·/sin(θ1/2),r1·sin(θ1/2)-p/4·cot(θ1/2)-d2/2) determining c1The value:
Figure FDA0003163098990000023
the equation for the first crest arc segment may be expressed as:
Figure FDA0003163098990000024
the circular arc section of the external thread root passes through the point (p/2, c)2) And the circles of the first tangent segment of the external thread and the circular arc segment of the root of the external thread pass through the tangent point (P/2-r)1·cosθ1/2,p/4·cotθ1/2-r1·sinθ1/2+d2/2) can be foundTo obtain c2The value:
Figure FDA0003163098990000025
the equation for the root arc segment of the external thread can be expressed as:
Figure FDA0003163098990000026
in step 2), the major diameter d and the minor diameter d of the external arc thread3H tooth height1And stress cross section area AtBy the pitch diameter d of the outer circular arc thread2Pitch p, profile angle theta1And the arc radius r of the outer arc thread1Is represented as follows:
major diameter d of the outer circular arc thread:
Figure FDA0003163098990000031
minor diameter d of outer arc thread1：
Figure FDA0003163098990000032
Height h of outer arc thread1：
Figure FDA0003163098990000033
Stress sectional area A of outer circular arc threadt：
Figure FDA0003163098990000034
Trial taking the pitch diameter d of the outer circular arc thread2Pitch p, profile angle theta1And the arc half of the external arc threadDiameter r1The value of (3) satisfies the pitch-diameter ratio k and the arc coefficient m of the crest of the outer arc thread, and the size of each part parameter of the outer arc thread is calculated.
3. The method for designing an arc threaded connection pair according to claim 1 or 2, characterized in that the parameters of the outer arc threads are selected according to the k value, and then whether the selected parameters of the outer arc threads meet the requirements is verified according to the m value.
4. The method for designing an arc threaded connection pair according to claim 1 or 2, characterized in that the parameters of the outer arc threads are selected according to the value m, and then whether the selected parameters of the outer arc threads meet the requirements is verified according to the value k.
5. The method for designing an arc threaded connection pair according to claim 1 or 2, wherein in step 1), the central axis of the inner arc thread is taken as the horizontal axis, the center of the arc segment of the first root is taken as the straight line perpendicular to the central axis of the inner arc thread is taken as the vertical axis, and the tooth width of the inner arc thread is S2The pitch diameter of the inner circular arc thread is D2；
The equation of the first tangent segment of the internal thread is:
Figure FDA0003163098990000035
the equation of the second tangent line segment of the internal thread is as follows:
Figure FDA0003163098990000041
the circular arc center coordinate of the inner thread root is (0, c)3) Passing through the tangent point intersected with the first tangent line segment of the internal thread
(r2·cosθ2/2,r2·sinθ2/2-(P-S2)/2·cotθ1/2-D2/2) determining c3；
Figure FDA0003163098990000042
The first root arc segment curve equation is:
Figure FDA0003163098990000043
and when the straight line section passes through the center of the crest arc, the equation of the straight line section is as follows:
Figure FDA0003163098990000044
major diameter D of inner arc thread and minor diameter D of inner arc thread1Inner arc thread height H2And the tooth crest width w can be passed through D by means of internal circular-arc screw2Radius r of inner thread root arc segment2Tooth form angle theta2Pitch P and tooth width S2To illustrate, the various parameters of the inner circular thread can be represented by the following equations:
inner arc thread major diameter D:
Figure FDA0003163098990000045
minor diameter D of inner arc thread1：
Figure FDA0003163098990000046
Inner arc thread height H2：H2＝r2
The crest width w of the inner circular arc thread is:
Figure FDA0003163098990000051
trial taking the inner arc thread middle warp D2Pitch P, radius r of the circular arc segment at the root of the internal thread2Tooth width S2And the arc coefficient of the arc section of the inner thread root and the tooth width coefficient of the inner arc thread are met, and the size of each part parameter of the inner arc thread is calculated.
6. The method for designing an arc threaded connection pair according to claim 1 or 2, characterized in that the parameters of the inner arc threads are selected according to the value of M, and then whether the selected parameters of the inner arc threads meet the requirements is verified according to the value of s.
7. The method for designing an arc threaded connection pair according to claim 1 or 2, characterized in that the parameters of the inner arc threads are selected according to the value s, and then whether the selected parameters of the inner arc threads meet the requirements is verified according to the value M.
8. The method for designing a circular arc threaded connection pair according to claim 1 or 2, wherein the pitch, pitch angle and pitch of the inner circular arc thread and the outer circular arc thread are equal, and after the parameters of the outer circular arc thread are determined, the pitch, pitch angle and pitch of the inner circular arc thread are determined according to the parameters of the outer circular arc thread.
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