CN113361029B - Method, device, equipment and medium for calculating fit clearance of fir-tree-shaped tenon joint structure - Google Patents
Method, device, equipment and medium for calculating fit clearance of fir-tree-shaped tenon joint structure Download PDFInfo
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Abstract
The application discloses a method and a device for calculating a fit clearance of a fir-tree mortise structure, electronic equipment and a medium, wherein the calculating method comprises the following steps: obtaining the mortise bar span distance of the mortise and the tenon bar span distance of the tenon; solving the converted bar span distance according to the geometric relationship among the mortise bar span distance, the mortise tooth pitch and the bar span diameter; calculating to obtain a second fit clearance between a second tooth non-working surface of the tenon and a first non-working surface of the mortise according to the converted geometrical relationship between the span-rod distance and the tenon span-rod distance; calculating according to the geometrical relationship between the pitch of the tenon and the pitch of the tenon to obtain a third fit clearance between the second working surface of the tenon and the second working surface of the tenon; and calculating to obtain a first fit clearance between the first working surface of the tenon and the first working surface of the mortise according to the preset fit relation between the tenon and the mortise. The fit clearance is calculated and solved by directly utilizing a calculation formula, the calculation time is greatly shortened, and the calculation efficiency of the fit clearance of the joggle joint structure is remarkably improved.
Description
Technical Field
The application relates to the technical field of aeroengine turbines, in particular to a method, a device, equipment and a medium for calculating fit clearance of a fir-tree-shaped joggle structure.
Background
Fir-tree dovetail structures (hereinafter referred to as dovetail structures) are widely used in rotors of aircraft engine turbines to connect turbine blades to turbine disks. As the key part of the turbine of the aircraft engine, the tenon joint structure bears the working conditions of high temperature and high centrifugal force in the working process and simultaneously meets the strict requirements of strength, fatigue life and the like. Along with the gradual increase of temperature before the aeroengine turbine, the joggle structure need introduce air conditioning and cool off it, and certain fit clearance need be guaranteed for this joggle structure. The effect of the joggle structure fit clearance mainly has two points: firstly, it can ensure that the turbine blade has enough swinging quantity, and secondly, it can ensure that the joggle joint structure has enough cold air circulation area for cooling the joggle joint structure. With the development of the optimization technology of the tenon structure, the fit clearance of the tenon structure also serves as a limiting condition or an optimization target, and at the moment, the clearance of the tenon structure needs to be calculated in real time.
At present, a calculation method for the fit clearance of the joggle joint structure is not developed at home and abroad, if the fit clearance of the joggle joint structure needs to be known, drawing software is mostly adopted for drawing a joggle joint structure chart, such as drawing software of AutoCAD, UG and the like, and then the size of the fit clearance is measured in the drawn graph.
Disclosure of Invention
The embodiment of the application provides a method for calculating the fit clearance of the fir-tree-shaped tenon joint structure on the one hand, so as to solve the technical problems of long time consumption and low efficiency in the solving process of the fit clearance of the existing tenon joint structure.
The embodiment of the application adopts the following technical scheme:
a method for calculating fit clearance of a fir-tree mortise structure comprises the following steps:
obtaining the mortise bar span distance of the mortise and the tenon bar span distance of the tenon;
solving the converted bar span according to the geometric relationship among the mortise bar span, the mortise tooth pitch and the bar span diameter, wherein the converted bar span is defined as: setting a virtual tenon for the mortise, wherein the virtual tenon is matched with the mortise and the fit clearance is zero, and the converted span rod distances with the same diameter are symmetrically arranged at the tenon tooth space part of the virtual tenon, namely the converted span rod distances;
calculating to obtain a second fit clearance between a second tooth non-working surface of the tenon and a first non-working surface of the mortise according to the converted geometrical relationship between the span-rod distance and the tenon span-rod distance; calculating according to the geometrical relationship between the pitch of the tenon and the pitch of the tenon to obtain a third fit clearance between the second working surface of the tenon and the second working surface of the tenon; and calculating to obtain a first fit clearance between the first working surface of the tenon and the first working surface of the mortise according to the preset fit relation between the mortise and the tenon.
Further, the converted bar span is solved according to the geometric relationship among the tongue-groove bar span, the tongue-groove pitch and the bar span diameter, and the specific calculation process is as follows:
wherein d is1' is the converted rod span, d1Is the distance between the rods of the mortise, phi is the diameter of the rods, d2Is the pitch of the mortises, beta is the included angle between the non-working surface of the mortises or the tenons and the horizontal line, beta is more than 0 degree and less than 90 degrees, gamma is the included angle between the working surface of the mortises or the tenons and the horizontal line, gamma is more than 0 degree and less than 90 degrees, delta is (gamma + beta)/2,
further, a second fit clearance between the second tooth non-working surface of the tenon and the first non-working surface of the mortise is calculated according to the converted geometrical relationship between the span-rod distance and the tenon span-rod distance, and the specific calculation process is as follows:
wherein j is2Is a second fitting clearance, d3The tenon span length.
Further, a third fit clearance between the second working surface of the tenon and the second working surface of the tenon is calculated according to the geometrical relationship between the pitch of the mortise and the pitch of the tenon, and the specific calculation process is as follows:
j3=d2-d4
wherein j is3Is a third fitting clearance, d2Is the pitch of the mortise, d4Is the pitch of the tenon.
Further, according to the preset fit relation between the mortise and the tenon, calculating to obtain a first fit clearance between the first working surface of the tenon and the first working surface of the mortise, wherein the specific calculation process is as follows:
under the working state, the first working surface of the tenon is in contact with the first working surface of the mortise, and the first fit clearance j1The value of (d) is 0.
Further, the mortise bar span distance of the mortise and the tenon bar span distance of the tenon are obtained, and the method specifically comprises the following steps:
symmetrically arranging cross rods at the mortise tooth space part of the mortise and obtaining the mortise cross rod distance;
and symmetrically arranging cross rods at the tenon tooth space of the tenon and obtaining the tenon cross rod distance, wherein the cross rods have the same diameter.
Another aspect of the embodiments of the present application also provides a fir-tree dovetail structure fit clearance calculating device, comprising:
the cross-rod pitch calculation module is used for calculating the mortise cross-rod pitch of the mortise and the tenon cross-rod pitch of the tenon;
the converted cross-rod distance calculation module is used for solving the converted cross-rod distance according to the geometric relation among the mortise cross-rod distance, the mortise tooth distance and the cross-rod diameter, wherein the converted cross-rod distance is defined as: replacing the mortise with a virtual tenon, wherein the virtual tenon is matched with the mortise and the matching gap is zero, and the converted span rod distances with the same diameter are symmetrically arranged at the tenon tooth space part of the virtual tenon, namely the converted span rod distances;
the gap calculation module is used for calculating a second fit gap between a second tooth non-working surface of the tenon and a first non-working surface of the mortise according to the converted bar span and the geometric relation of the tenon bar span; calculating according to the geometrical relationship between the pitch of the tenon and the pitch of the tenon to obtain a third fit clearance between the second working surface of the tenon and the second working surface of the tenon; and calculating to obtain a first fit clearance between the first working surface of the tenon and the first working surface of the mortise according to the preset fit relation between the mortise and the tenon.
In another aspect, an embodiment of the present application further provides an electronic device, which includes a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein the processor implements the steps of the method for calculating a fit-and-clearance of a fir-tree mortise structure when executing the program.
In another aspect, the present invention further provides a storage medium, where the storage medium includes a stored program, and when the program runs, the apparatus on which the storage medium is located is controlled to execute the steps of the method for calculating the fit clearance of the fir-tree mortise structure.
Compared with the prior art, the method has the following beneficial effects:
the application provides a method, a device, equipment and a medium for calculating fit clearance of a fir-tree tenon joint structure, wherein the calculation method comprises the steps of calculating the tenon slot bar span distance of a tenon slot and the tenon head bar span distance of a tenon head; solving the converted bar span distance according to the geometric relationship among the mortise bar span distance, the mortise tooth pitch and the bar span diameter; and calculating the fit clearance of the tenon joint structure according to the converted cross-bar distance, the relevant geometric relationship of the tenon and the mortise. The working mode that the fit clearance of the joggle structure is obtained by measuring after drawing by using drawing software is changed, the fit clearance is calculated and obtained by directly using a calculation formula, the calculation time is greatly shortened, the calculation efficiency of the fit clearance of the joggle structure is obviously improved, and meanwhile, an efficient and reliable solution is provided for calculating the fit clearance during optimized design of the joggle structure.
In addition to the objects, features and advantages described above, other objects, features and advantages will be apparent from the present application. The present application will now be described in further detail with reference to the accompanying drawings.
Drawings
The accompanying drawings, which are incorporated in and constitute a part of this application, illustrate embodiments of the application and, together with the description, serve to explain the application and are not intended to limit the application. In the drawings:
FIG. 1 is a flow chart of a method for calculating a fit clearance of a fir-tree dovetail structure according to a preferred embodiment of the present application.
FIG. 2 is a schematic view of fit clearances of a two-tooth dovetail structure (including a dovetail and a mortise).
FIG. 3 is a schematic illustration of the tongue and groove parameters of the preferred embodiment of the present application.
FIG. 4 is a schematic illustration of tenon parameters of a preferred embodiment of the present application.
FIG. 5 is a schematic diagram of the relationship between the position of the pre-conversion span bar and the position of the post-conversion span bar in the preferred embodiment of the present application.
FIG. 6 is a schematic representation of the geometry of a pre-conversion span and a post-conversion span according to a preferred embodiment of the present application.
FIG. 7 is a schematic diagram of the geometry of the solution p of the preferred embodiment of the present application.
FIG. 8 is a block diagram of a computing device for a fir tree dovetail fit clearance in accordance with another preferred embodiment of the present application.
Fig. 9 is a schematic block diagram of an electronic device entity of the preferred embodiment of the present application.
Fig. 10 is an internal structural view of a computer device of the preferred embodiment of the present application.
In the figure: 1. mortises; 2. a tenon; 3. a tongue-and-groove tooth space part; 4. the thickness part of the tenon tooth; 5. a tenon tooth space part; 6. the thickness part of the mortise tooth; j is a function of1A first fit clearance; j is a function of2A second fit clearance; j is a function of3A third fit clearance; 7. spanning the rods before conversion; 8. spanning the rod after conversion; 9. a mortise first working face; 10. a mortise first non-working face; 11. a mortise second working face.
Detailed Description
It should be noted that the embodiments and features of the embodiments in the present application may be combined with each other without conflict. The present application will be described in detail below with reference to the embodiments with reference to the attached drawings.
Referring to fig. 1 and 2, a preferred embodiment of the present application provides a method of calculating a fit clearance of a fir-tree dovetail structure, comprising the steps of:
s1, obtaining the mortise bar span distance of the mortise 1 and the tenon bar span distance of the tenon 2;
s2, according to the distance d between the tenon and the mortise and the cross rod1Pitch d of the mortise2And solving a converted rod spanning distance according to the geometric relation of the rod spanning diameter phi, wherein the converted rod spanning distance is defined as: replacing the mortise 1 with a virtual tenon, wherein the virtual tenon is matched with the mortise 1, the matching gap is zero, and the distances of converted cross rods 8 with the same diameter are symmetrically arranged at the tenon tooth space part of the virtual tenon, namely the distances of the converted cross rods are the converted cross rod distances;
s3, calculating according to the converted bar span and the geometric relationship of the tenon bar span to obtain a second fit clearance between the second tooth non-working surface of the tenon 2 and the first non-working surface 10 of the mortisej2(ii) a According to the pitch d of the mortise2And the pitch d of the tenon4The third fit-up clearance j between the second working surface of the tenon 2 and the second working surface 11 of the mortise is calculated3(ii) a Calculating according to the preset matching relation between the mortise 1 and the tenon 2 to obtain a first matching clearance j between the first working surface of the tenon 2 and the first working surface 9 of the mortise1。
The embodiment provides a method for calculating fit clearance of a fir-tree tenon structure, which comprises the steps of solving a mortise bar span distance of a mortise 1 and a tenon bar span distance of a tenon 2; solving the converted bar span distance according to the geometric relationship among the mortise bar span distance, the mortise tooth pitch and the bar span diameter; and calculating according to the converted cross rod distance, the tenon 2 and the mortise 1 to obtain the fit clearance of the tenon joint structure. Wherein the second fit clearance j2And a third fitting clearance j3Between the tongue and groove tooth space 3 and the tongue tooth thickness 4, and a first fitting clearance j1Between the dovetail gullet portion 5 and the dovetail gullet tooth thickness portion 6. The working mode that the fit clearance of the joggle structure is obtained by measuring after drawing by using drawing software is changed, the fit clearance is calculated and obtained by directly using a calculation formula, the calculation time can be greatly shortened, the calculation efficiency of the fit clearance of the joggle structure is obviously improved, and meanwhile, an efficient and reliable solution is provided for calculating the fit clearance during optimized design of the joggle structure.
In the preferred embodiment of the present application, the pitch d is determined according to the pitch of the bars across the mortise slot and the pitch of the mortise slot2And the cross-rod diameter phi is solved according to the converted cross-rod distance d1' the specific calculation process is as follows:
wherein d is1' is the converted span length calculated from the converted span 8, d1The distance between the rods of the mortise is calculated by the rods 7 before conversion, phi is the diameter of the rods, d2Is the pitch of the mortise, beta is the included angle between the non-working surface of the mortise or tenon and the horizontal line, andbeta is more than 0 degree and less than 90 degrees, gamma is the included angle between the working surface of the mortise 1 or the tenon 2 and the horizontal line, gamma is more than 0 degree and less than 90 degrees, delta is (gamma + beta)/2,
in a preferred embodiment of the present application, the rod spanning distance d is determined according to the conversion1', the distance d between the tenon and the rod3The second fit clearance j between the second tooth non-working surface of the tenon 2 and the first tongue-and-groove non-working surface 10 is calculated2The specific calculation process is as follows:
wherein j is2Is a second fitting clearance, d3The tenon span length.
In the preferred embodiment of the present application, the third fitting clearance j between the second running surface of the tenon 2 and the second running surface 11 of the mortise is calculated from the geometrical relationship between the pitch of the mortise and the pitch of the tenon3The specific calculation process is as follows:
j3=d2-d4
wherein j is3Is a third fitting clearance, d2Is the pitch of the mortise, d4Is the pitch of the tenon.
In the preferred embodiment of the present application, the first fit-up clearance j between the first working surface of the tenon 2 and the first working surface 9 of the mortise is calculated according to the preset fit-up relationship between the mortise and the tenon1The specific calculation process is as follows:
in the working state, the first working surface of the tenon 2 is in contact with the first working surface 9 of the mortise, and the first fit clearance j1The value of (d) is 0.
In the preferred embodiment of the present application, the finding of the mortise bar span distance of the mortise 1 and the tenon bar span distance of the tenon 2 specifically includes the steps of:
s11, locating at the mortise slot of the mortise 13 symmetrically arranging the cross rods and obtaining the distance d between the mortises and the cross rods1The symmetrically arranged cross bars are the cross bars 7 before conversion;
s12, symmetrically arranging cross rods at the tenon tooth space part 5 of the tenon 2 and obtaining the tenon cross rod distance d1The diameter of the cross-rods is the same.
The dovetail structure typically has two, three or even more teeth depending on the type of aircraft engine. The present application takes a two-tooth (see fig. 2) tenon joint structure as an example to illustrate a calculation method for a fit clearance of a tenon joint structure, and for a more-tooth tenon joint structure, a formula can be derived by referring to the method.
To facilitate understanding of the calculation method of the fit clearance of the joggle structure, the following is directed to the second fit clearance j2The calculation formula (c) is derived in detail as follows:
as can be seen from fig. 3 and 4, due to the structural features of the mortise 1 and the tenon 2, the cross bars are arranged at the mortise slot part 3 and the tenon slot part 5. Because the matching of the tenon joint structure can only be the matching of the mortise tooth space part 3 of the mortise 1 and the tenon tooth thickness part 4 of the tenon 2 (see fig. 2), if the size of the gap needs to be calculated, the span rod distance of the mortise 1 or the tenon 2 needs to be converted to the matched tooth space so as to be convenient for the calculation of the span rod distance difference, which relates to the conversion of the span rod distance. In FIG. 6, the pre-conversion span bar 7 is used to obtain the mortise span bar distance d1The converted span rod 8 is used for obtaining the converted span rod distance d1' the distance in the horizontal direction between the center d of the straddle rod 7 before conversion and the center b of the straddle rod 8 after conversion is the parameter p in fig. 6 based on the geometrical relationship shown in fig. 6. Combining FIG. 5 and FIG. 6, the converted rod span d1The calculation formula of' is as follows:
from the above equation, only p is unknown, so it is necessary to solve for p. From the triangular geometry shown in fig. 6, the magnitude of the p-demand solution L1 and θ is solved, and the formula for calculating p can be derived from the solved values as follows:
p=L1*sinθ
wherein p is the distance in the horizontal direction between the center d of the wand 7 before conversion and the center b of the wand 8 after conversion, L1 is the length of the connecting line between the center d of the wand 7 before conversion and the center b of the wand 8 after conversion, and theta is the included angle between the connecting line between the center d of the wand 7 before conversion and the center b of the wand 8 after conversion and the vertical auxiliary line.
To solve for the size of the parameter p, a geometric relationship diagram shown in fig. 7 is constructed. In fig. 7, a is the intersection point of the extension lines of the first working surface 9 of the mortise and the first non-working surface 10 of the mortise at the tooth thickness position 6 of the mortise, b is the center of the converted span rod 8, c is the intersection point of the connecting line db of the centers of the span rods before and after conversion and the first non-working surface 10 of the mortise, d is the center of the span rod 7 before conversion, and e is the intersection point of the extension lines of the second working surface 11 of the mortise and the first non-working surface 10 of the mortise at the tooth space position 3 of the mortise.
From the geometry of fig. 7, the following calculation can be derived:
the length of the de segment (the line connecting the point d and the point e in fig. 7) is calculated by the following formula:
the length calculation formula of ae segment (the line connecting point a and point e in fig. 7) is as follows:
according to the cosine theorem, the length calculation formula of L1 is:
substituting the calculation formulas of de | and ae | into the calculation formula of L1, the solving formula of L1 can be obtained as follows:
defining an angle eta, namely an included angle between the ae section and the bd section shown in fig. 7, according to a geometric relationship and by using a cosine theorem, a calculation formula of the angle eta is as follows:
from the geometric relationship, the calculation formula for the angle θ can be found as follows:
θ=β+η-90°
after solving for L1 and θ, the solution formula for p can be obtained as follows:
from the geometry of fig. 5, the solution formula for the converted span d 1' can be found as follows:
according to geometric relations, after conversion, d1' and d3、j1、j2γ, β have the following relationships:
due to j1When j is equal to 0, can be found2The calculation formula of (c) is as follows:
in order to verify the correctness of the calculation method, the method is compared with a mapping method, and the method specifically comprises the following steps:
the known parameters are:
and (3) calculating the result:
parameter(s) | Result of drawing method | The calculation results of the present application |
d1'/(Unit: mm) | 8.78733548 | 8.78733548 |
j2/(unit: mm) | 0.24584998 | 0.24584998 |
j3/(unit: mm) | 0.15002823 | 0.15002823 |
Through comparison of the calculation results, the calculation results of the embodiment of the application are consistent with those of the existing mapping method, and the calculation results are accurate.
In addition, the application calculates and verifies the fit clearance of the plurality of mature tenon joint structures, the calculation method is correct, and the calculation result is accurate.
There is also provided in accordance with a preferred embodiment of the present application, a fir-tree dovetail fit-clearance calculating apparatus including:
the cross-rod distance calculation module is used for solving the mortise cross-rod distance of the mortise 1 and the tenon cross-rod distance of the tenon 2;
the converted cross-rod distance calculation module is used for solving the converted cross-rod distance according to the geometric relation among the mortise cross-rod distance, the mortise tooth distance and the cross-rod diameter, wherein the converted cross-rod distance is defined as: replacing the mortise 1 with a virtual tenon, wherein the virtual tenon is matched with the mortise 1, the matching gap is zero, and the distances of converted cross rods 8 with the same diameter are symmetrically arranged at the tenon tooth space part of the virtual tenon, namely the distances of the converted cross rods are the converted cross rod distances;
a clearance calculation module for calculating a second fit clearance j between the second tooth non-working surface of the tenon 2 and the first mortise non-working surface 10 according to the converted bar span and the geometric relationship of the tenon bar span2(ii) a Calculating according to the geometric relationship between the pitch of the tenon and the pitch of the tenon to obtain a third fit clearance j between the second working surface of the tenon and the second working surface 11 of the tenon3(ii) a Calculating according to the preset matching relation between the mortise 1 and the tenon 2 to obtain a first matching clearance j between the first working surface of the tenon 2 and the first working surface 9 of the mortise1。
The various modules in the fir-tree dovetail fit clearance computing apparatus described above may be implemented in whole or in part by software, hardware, and combinations thereof. The modules can be embedded in a hardware mode or independent from a processor in the computer device, and can also be stored in a memory in the computer device in a software mode, so that the processor can call and execute the virtual operation of the modules.
As shown in fig. 9, the preferred embodiment of the present application provides an electronic device, which includes a memory, a processor and a computer program stored in the memory and running on the processor, wherein the processor executes the computer program to implement the method for calculating the fit clearance of the fir-tree mortise structure in the above embodiments.
As shown in fig. 10, the preferred embodiment of the present application also provides a computer device, which may be a terminal or a server, and its internal structure diagram may be as shown in fig. 10. The computer device includes a processor, a memory, and a network interface connected by a system bus. Wherein the processor of the computer device is configured to provide computing and control capabilities. The memory of the computer device comprises a nonvolatile storage medium and an internal memory. The non-volatile storage medium stores an operating system and a computer program. The internal memory provides an environment for the operation of an operating system and computer programs in the non-volatile storage medium. The network interface of the computer device is used for communicating with other external computer devices through network connection. The computer program is executed by a processor to implement the above-described method for calculating a fit clearance of a fir-tree dovetail structure.
Those skilled in the art will appreciate that the architecture shown in fig. 10 is merely a block diagram of some of the structures associated with the disclosed aspects and is not intended to limit the computing devices to which the disclosed aspects apply, as particular computing devices may include more or less devices than those shown, or may combine certain devices, or have a different arrangement of devices.
The preferred embodiment of the present application also provides a storage medium, where the storage medium includes a stored program, and when the program runs, the apparatus where the storage medium is located is controlled to execute the method for calculating the fit clearance of the fir-tree mortise structure in the foregoing embodiment.
Preferred embodiments of the present application also provide a computer program product or a computer program, which includes computer program code stored in a computer-readable storage medium, and a processor of a computer apparatus reading the computer program code from the computer-readable storage medium, and executing the computer program code by the processor, so that the computer apparatus realizes the operations performed in the fir-tree mortise fit clearance calculation method according to the above-described embodiments.
It should be noted that the steps illustrated in the flowcharts of the figures may be performed in a computer system such as a set of computer-executable instructions and that, although a logical order is illustrated in the flowcharts, in some cases, the steps illustrated or described may be performed in an order different than presented herein.
The above embodiments of the present application provide a method for testing an elastic support axial force by a dynamic stress testing method, which is effective for testing an axial force of a traditional elastic support, and is also effective for testing an integrated elastic support axial force which cannot be provided with a force measuring ring, thereby solving the problem that the integrated elastic support is difficult to directly test the axial force, and eliminating the defect that the elastic support and a bearing must keep a gap in the method for testing the axial force by the stress ring, so that an engine rotor operates more stably and robustly.
The functions of the method of the present embodiment, if implemented in the form of software functional units and sold or used as independent products, may be stored in one or more storage media readable by a computing device. Based on such understanding, part of the contribution of the embodiments of the present application to the prior art or part of the technical solution may be embodied in the form of a software product stored in a storage medium and including several instructions for causing a computing device (which may be a personal computer, a server, a mobile computing device or a network device) to execute all or part of the steps of the method described in the embodiments of the present application. And the aforementioned storage medium includes: a U-disk, a removable hard disk, a Read-Only Memory (ROM), a Random Access Memory (RAM), a magnetic disk or an optical disk, and other various media capable of storing program codes.
The above description is only for the purpose of illustrating the preferred embodiments of the present application and is not to be construed as limiting the present application, and any modifications, equivalents, improvements, etc. made within the spirit and principle of the present application should be included in the scope of the present application.
Claims (9)
1. A method for calculating fit clearance of a fir-tree mortise structure is characterized by comprising the following steps:
obtaining the mortise bar span distance of the mortise and the tenon bar span distance of the tenon;
solving the converted bar span according to the geometric relationship among the mortise bar span, the mortise tooth pitch and the bar span diameter, wherein the converted bar span is defined as: setting a virtual tenon for the mortise, wherein the virtual tenon is matched with the mortise, the fit clearance is zero, and the converted bar spanning distances with the same diameter are symmetrically distributed at the tenon tooth space part of the virtual tenon, namely the converted bar spanning distances;
calculating to obtain a second fit clearance between a second tooth non-working surface of the tenon and a first non-working surface of the mortise according to the converted geometrical relationship between the span-rod distance and the tenon span-rod distance; calculating according to the geometrical relationship between the pitch of the tenon and the pitch of the tenon to obtain a third fit clearance between the second working surface of the tenon and the second working surface of the tenon; and calculating to obtain a first fit clearance between the first working surface of the tenon and the first working surface of the mortise according to the preset fit relation between the tenon and the mortise.
2. The method for calculating the fit clearance of the fir-tree mortise and tenon structure according to claim 1, wherein the step of solving the converted cross-bar pitch according to the geometrical relationship among the cross-bar pitch of the mortise, the pitch of the mortise and the cross-bar diameter comprises the following specific calculation processes:
wherein d is1' is the converted rod span, d1Is the distance between the rods of the mortise, phi is the diameter of the rods, d2Is the pitch of the mortises, beta is the included angle between the non-working surface of the mortises or the tenons and the horizontal line, beta is more than 0 degree and less than 90 degrees, gamma is the included angle between the working surface of the mortises or the tenons and the horizontal line, gamma is more than 0 degree and less than 90 degrees, delta is (gamma + beta)/2,
3. the method for calculating the fit clearance of the fir-tree mortise structure according to claim 2, wherein a second fit clearance between the second tooth non-working surface of the tenon and the first non-working surface of the mortise is calculated according to the geometrical relationship between the converted span-bar distance and the tenon span-bar distance, and the specific calculation process is as follows:
wherein j is2Is a second fitting clearance, d3The tenon span is the distance between the rods.
4. The method for calculating the fit clearance of the fir-tree mortise and tenon structure according to claim 1, wherein a third fit clearance between the second working face of the tenon and the second working face of the mortise is calculated according to the geometrical relationship between the mortise pitch and the tenon pitch, and the specific calculation process is as follows:
j3=d2-d4
wherein j is3Is a third fitting clearance, d2Is the pitch of the mortise, d4Is the pitch of the tenon.
5. The method for calculating the fit clearance of the fir-tree mortise structure according to claim 1, wherein the first fit clearance between the first working face of the tenon and the first working face of the mortise is calculated according to the preset fit relation between the mortise and the tenon, and the specific calculation process is as follows:
under the working state, the first working surface of the tenon is in contact with the first working surface of the mortise, and the first fit clearance j1The value of (d) is 0.
6. The method for calculating the fit clearance of the fir-tree mortise structure according to claim 1, wherein the step of obtaining the mortise bar span distance of the mortise and the tenon bar span distance of the tenon comprises the steps of:
symmetrically arranging cross rods at the tooth space part of the mortise and obtaining the distance between the cross rods of the mortise;
and symmetrically arranging cross rods at the tenon tooth space of the tenon and obtaining the tenon cross rod distance, wherein the cross rods have the same diameter.
7. A fir-tree dovetail fit clearance calculation apparatus comprising:
the cross-rod pitch calculation module is used for calculating the mortise cross-rod pitch of the mortise and the tenon cross-rod pitch of the tenon;
the converted cross-rod distance calculation module is used for solving the converted cross-rod distance according to the geometric relation among the mortise cross-rod distance, the mortise tooth distance and the cross-rod diameter, wherein the converted cross-rod distance is defined as: replacing the mortise with a virtual tenon, wherein the virtual tenon is matched with the mortise and the matching gap is zero, and the converted span rod distances with the same diameter are symmetrically arranged at the tenon tooth space part of the virtual tenon, namely the converted span rod distances;
the gap calculation module is used for calculating a second fit gap between a second tooth non-working surface of the tenon and a first non-working surface of the mortise according to the converted bar span and the geometric relation of the tenon bar span; calculating according to the geometrical relationship between the pitch of the tenon and the pitch of the tenon to obtain a third fit clearance between the second working surface of the tenon and the second working surface of the tenon; and calculating to obtain a first fit clearance between the first working surface of the tenon and the first working surface of the mortise according to the preset fit relation between the mortise and the tenon.
8. An electronic device comprising a memory, a processor, and a computer program stored on the memory and executable on the processor, wherein the processor when executing the program performs the steps of the method of calculating a fit-clearance for a fir-tree mortise structure according to any one of claims 1 to 6.
9. A storage medium including a stored program, characterized in that,
controlling an apparatus on which the storage medium is located to perform the steps of the fir tree fit clearance calculation method according to any one of claims 1 to 6 when the program is executed.
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CN108691575A (en) * | 2018-05-10 | 2018-10-23 | 中国航发湖南动力机械研究所 | Turbine assembly, mortise structure and preparation method thereof |
CN109883299A (en) * | 2019-03-27 | 2019-06-14 | 中国航发湖南动力机械研究所 | The acquisition methods of fir-tree type tenon distance over bar tolerance |
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US20050169704A1 (en) * | 2004-01-16 | 2005-08-04 | Alan Vu | Mortise and tenon joint |
GB0916561D0 (en) * | 2009-09-22 | 2009-10-28 | Rolls Royce Plc | Form milling cutter for the machining of titanium alloys etc |
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CN108691575A (en) * | 2018-05-10 | 2018-10-23 | 中国航发湖南动力机械研究所 | Turbine assembly, mortise structure and preparation method thereof |
CN109883299A (en) * | 2019-03-27 | 2019-06-14 | 中国航发湖南动力机械研究所 | The acquisition methods of fir-tree type tenon distance over bar tolerance |
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