CN109598032A - A kind of helicopter blade root bushing magnitude of interference determines method - Google Patents

A kind of helicopter blade root bushing magnitude of interference determines method Download PDF

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Publication number
CN109598032A
CN109598032A CN201811361269.7A CN201811361269A CN109598032A CN 109598032 A CN109598032 A CN 109598032A CN 201811361269 A CN201811361269 A CN 201811361269A CN 109598032 A CN109598032 A CN 109598032A
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bushing
magnitude
interference
blade root
neck bush
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刘爽
李晓彬
方科
陈艳红
杨建灵
刘伟光
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China Helicopter Research and Development Institute
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China Helicopter Research and Development Institute
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    • G06F17/00Digital computing or data processing equipment or methods, specially adapted for specific functions
    • G06F17/10Complex mathematical operations
    • G06F17/11Complex mathematical operations for solving equations, e.g. nonlinear equations, general mathematical optimization problems
    • GPHYSICS
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    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F2119/00Details relating to the type or aim of the analysis or the optimisation
    • G06F2119/06Power analysis or power optimisation
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    • Y02TCLIMATE CHANGE MITIGATION TECHNOLOGIES RELATED TO TRANSPORTATION
    • Y02T90/00Enabling technologies or technologies with a potential or indirect contribution to GHG emissions mitigation

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Abstract

The present invention provides a kind of helicopter blade root bushing magnitude of interference to determine method, belongs to helicopter blade structure-design technique field.The described method includes: obtaining the internal diameter and outer diameter of blade root Outer Diameter of lining, the neck bush being set in blade root bushing, and obtain the elasticity modulus of bushing;Determine the magnitude of interference between blade root bushing and neck bush and the relationship between pressure;Determine the relationship between maximum static friction force and pressure;Obtain the axial thrust load of the bushing root under helicopter blade rotation status;In the case where the axial thrust load is less than or equal to the pressure, magnitude of interference is calculated, the internal-and external diameter of blade root bushing and neck bush is designed according to magnitude of interference.The present invention carries out magnitude of interference calculating using assembled tubes theoretical model, computation model is closer practical, calculated result is more acurrate, it can effectively solve the problems, such as successive ignition in the design of bushing magnitude of interference, in the just many-sided consideration of design initial stage, maintenance maintenance and the change in design work of subsequent failure are avoided.

Description

A kind of helicopter blade root bushing magnitude of interference determines method
Technical field
The invention belongs to helicopter blade structure-design technique fields, and in particular to a kind of helicopter blade root bushing mistake The amount of being full of determines method.
Background technique
In helicopter rotor system, main blade passes through bushing at main blade blade root by blade pin and is connected on propeller hub;? Maintenance neck bush generally is configured in main blade blade root bushing, main function is to prevent blade pin from directly existing with blade root bushing It is worn in use process;After abrasion or other damages occur for neck bush, impaired neck bush boring is fallen first, it is then right Blade root bushing carries out reaming, finally assembles new neck bush using temperature differential method, that completes neck bush reprocesses replacement.
The magnitude of interference of neck bush outer diameter and blade root bushing inner diameter is one of the important indicator in propeller shank liner Analysis of Nested Design, The size of magnitude of interference largely influences neck bush safety in use and maintainability, if neck bush is using Process slides, and will influence the use of helicopter user.Helicopter is in flight course, between neck bush and blade pin Contact condition be it is heterogeneous, neck bush mainly by blade pin shaft to load (the namely component of centrifugal force);Therefore exist The size relation that the maximum static friction force and blade centrifugal force component that neck bush is generated by magnitude of interference are considered in design process is to set Meter constraint.
Summary of the invention
In order to solve the design problem of helicopter blade root bushing magnitude of interference, assembled tubes theory is introduced into goes straight up to for the first time Machine propeller shank bushing assembles in the calculating of magnitude of interference, effectively and really simulates the mechanical behavior of elastic conjunction, and adopt It is verified with test method and random take a flight test, solves the problems, such as the selection of the magnitude of interference in propeller shank bushing design.
The application helicopter blade root bushing magnitude of interference determines method, comprising:
Step S1, the internal diameter and outer diameter of blade root Outer Diameter of lining, the neck bush being set in blade root bushing are obtained, and is obtained The elasticity modulus of bushing;
Step S2, the magnitude of interference between blade root bushing and neck bush and the relationship between pressure are determined;
Step S3, the relationship between maximum static friction force and pressure is determined;
Step S4, the axial thrust load of the bushing root under helicopter blade rotation status is obtained;
Step S5, in the case where the axial thrust load is less than or equal to the pressure, magnitude of interference is calculated, is set according to magnitude of interference Count the internal-and external diameter of blade root bushing and neck bush.
Preferably, the relationship between magnitude of interference and pressure in step S2, between blade root bushing and neck bush are as follows:
Wherein, c is blade root Outer Diameter of lining, a is the internal diameter of neck bush, the outer diameter that b is neck bush, and E is elasticity modulus, and p is Pressure, Δ are magnitude of interference.
Preferably, in the step S5, the axial thrust load is less than or equal to the pressure representative are as follows:
Fa≤kFμ
Wherein, FaFor axial thrust load, FμFor pressure, k is the corrected parameter as caused by processing error.
Preferably, the k is 0.9~1.
The beneficial effect of the design method is: computation model and passes through examination closer to the stress model of actual bushing Verifying and accidental validation, it is as a result more reliable, it is more acurrate that also there is higher applicability.
Key point of the invention:
Assembled tubes theory is introduced into the calculating of bushing magnitude of interference, model is more acurrate;
A set of propeller shank bushing magnitude of interference and release force testing program and test tool are devised, magnitude of interference is carried out and tests Card;
It is taken a flight test and is verified at random using bushing installation.
Having the technical effect that for the design method carries out magnitude of interference calculating using assembled tubes theoretical model, and computation model more connects Close practical, calculated result is more acurrate;Ground experiment scheme and tooling and Flight are devised, carries out calculating magnitude of interference most It determines eventually and application, final design result is more reliable.The design method is simple and effective, accurately and reliably, have passed through the experience of model Verifying can effectively solve the problems, such as successive ignition in the design of bushing magnitude of interference, and at design initial stage, just various aspects consider, after avoiding The continuous maintenance maintenance to break down and change in design work.
Detailed description of the invention
Fig. 1 is the flow chart for the preferred embodiment that the application helicopter blade root bushing magnitude of interference determines method.
Fig. 2 is that magnitude of interference analyzes schematic diagram between neck bush and blade root bushing.
Fig. 3 is to establish blade root external bushing and neck bush model schematic.
Fig. 4 is the propeller shank bushing stress condition schematic diagram under rated speed.
Fig. 5 is cell cube stress analysis schematic diagram.
Fig. 6 is cell cube deformation schematic diagram.
Fig. 7 is that magnitude of interference and radial load change schematic diagram.
Specific embodiment
To keep the purposes, technical schemes and advantages of the application implementation clearer, below in conjunction with the application embodiment In attached drawing, the technical solution in the application embodiment is further described in more detail.In the accompanying drawings, identical from beginning to end Or similar label indicates same or similar element or element with the same or similar functions.Described embodiment is A part of embodiment of the application, rather than whole embodiments.Embodiment below with reference to attached drawing description is to show Example property, it is intended to for explaining the application, and should not be understood as the limitation to the application.Based on the embodiment in the application, Every other embodiment obtained by those of ordinary skill in the art without making creative efforts belongs to this Apply for the range of protection.Presently filed embodiment is described in detail with reference to the accompanying drawing.
In the description of the present invention, it is to be understood that, term " center ", " longitudinal direction ", " transverse direction ", "front", "rear", The orientation or positional relationship of the instructions such as "left", "right", "vertical", "horizontal", "top", "bottom", "inner", "outside" is based on attached drawing institute The orientation or positional relationship shown, is merely for convenience of description of the present invention and simplification of the description, rather than the dress of indication or suggestion meaning It sets or element must have a particular orientation, be constructed and operated in a specific orientation, therefore should not be understood as protecting the present invention The limitation of range.
Helicopter blade root bushing magnitude of interference of the present invention determines method, as shown in Figure 1, specifically including that
Step S1, the internal diameter and outer diameter of blade root Outer Diameter of lining, the neck bush being set in blade root bushing are obtained, and is obtained The elasticity modulus of bushing;
Step S2, the magnitude of interference between blade root bushing and neck bush and the relationship between pressure are determined;
Step S3, the relationship between maximum static friction force and pressure is determined;
Step S4, the axial thrust load of the bushing root under helicopter blade rotation status is obtained;
Step S5, in the case where the axial thrust load is less than or equal to the pressure, magnitude of interference is calculated, is set according to magnitude of interference Count the internal-and external diameter of blade root bushing and neck bush.
Referring initially to Fig. 4, propeller shank is fixed by bushing, and external bushing, band in diagram are also referred to as below the bushing Oblique line is external bushing, and external bushing is internally provided with neck bush, constitutes combined sleeve, and the two is interference fitted, theoretically, magnitude of interference Bigger, the two compression is more serious, is less susceptible to that being mutually disengaged for interior external bushing occurs, the goal of the invention of the application is that It prevents in blade rotary course, drives neck bush to be detached from external bushing, it is therefore desirable to determine a suitable magnitude of interference.
Based on above-mentioned purpose, in the present embodiment, neck bush and external bushing mutual extrusion, it is first determined magnitude of interference and the extruding Pressure dependence determine that neck bush skids off the critical value of external bushing, last base later according to the relationship between pressure and frictional force Magnitude of interference is determined in this critical value.
Assembled tubes theory is introduced into the calculating of helicopter blade root bushing assembly magnitude of interference by the application, effective and true Real simulates the mechanical behavior of elastic conjunction, and is verified using test method and random take a flight test, and solves in paddle In blade root bushing design the problem of the selection of magnitude of interference.
Technical solution used by the design method is:
Step 1: the theoretical model that external bushing is depressed by internal pressure or outside in carrying out first derives, the position of interior external bushing is obtained It moves.
Step 2: introducing assembled tubes theory, regard the interior external bushing of elastic conjunction as two thick cylinders respectively, according to bushing The displacement coordination of faying face constrains, available interior external bushing elastic conjunction formula, the pressure between bushing.According to the material of bushing The roughness of attribute and assembly surface obtains its contact surface coefficient of friction, and then obtains its maximum static friction force.
Step 3: according under helicopter blade rotation status, the actual loading situation of propeller shank bushing, to root bushing Carry out force analysis, it is desirable that under bushing working condition, axial loosening does not occur for bushing.The wherein axial force of bushing root point Amount is mainly centrifugal component.In helicopter normal flight envelope curve, it should be ensured that bushing maximum static friction force be greater than its axial direction from Mental and physical efforts component does not occur to loosen slippage.The choosing of bushing assembly magnitude of interference is carried out according to the limitation of above-mentioned limitation and matching requirements It selects.
4th step devises a set of helicopter blade root bushing magnitude of interference and loosens according to magnitude of interference obtained above The magnitude of interference being calculated is carried out ground experiment verifying, served as a contrast when applying actual flight state by power testing program and test tool The stress load of set.Ground experiment carries out accidental validation after passing through, and finally determines magnitude of interference.
The beneficial effect of the design method is: computation model and passes through examination closer to the stress model of actual bushing Verifying and accidental validation, it is as a result more reliable, it is more acurrate that also there is higher applicability.It is described in detail below.
Magnitude of interference force analysis between neck bush and blade root bushing is establishment of coordinate system schematic diagram, it is assumed that interior with reference to Fig. 2 Bushing inside radius is a, and external bushing outer radius is b, and pressure p in uniform is born in bushing, and bushing both ends are Open architecture.? Interior pressure is used down, and the cylindrical surface of radius r is deformed into the cylindrical surface that radius is r+u.Here u is the radial displacement at radius r, u The only function of r, unrelated with polar angle θ, u, which is displaced outwardly, to be positive.
With reference to Fig. 5, it is cell cube stress analysis schematic diagram, a cell cube of θ angle is taken on neck bush, cell cube Front and back (is not drawn into) perpendicular to z-axis perpendicular to paper, in the active force of cell cube and external bushing contact position by four sides, difference For direct stress σrAnd σθ, without shearing stress.σθIt is circumferential stress for the tangential direction for the circle that radius is r;σrFor radial direction Radial stress.
1. geometry equation
With reference to Fig. 6, before being deformed along any radius r direction line taking member AB=dr, A point and B point are moved respectively to after deformation A ' and B ', radial displacement is u and u+du respectively.The radial strain of line element AB:
Due to A ' B '=dr+ (u+du)-u=dr+du, then
The circle of radius OA is deformed into the circle that radius is OA ', wherein 0 is the center of circle, the circumferential strain at A ' is:
2. physical equation
Poisson's ratio symbol is ν herein, is obtained according to Hooke's law and geometry equation:
3. equilibrium equation
In order to facilitate analysis, it is assumed that the vertical height of cell cube is 1.List edgeThe radial equilibrium equation of angle:
In low-angleTherefore above formula can be with abbreviation are as follows:
r+dσr) (r+dr) d θ=σrrdθ+σθdrdθ
Above formula is unfolded, can arrange to obtain after omitting a small amount of drd θ of high-order therein:
It finally obtains:
Three unknown quantity σ can be solved after two physical equations of simultaneousr、σθAnd u
Formula 3 is substituted into formula 1 and formula 2, arrangement can obtain
Formula 5 differentiates to r, then with 4 simultaneous of formula, can obtain:
(form r2The differential equation of y "+ry '-y=0)
The form of above formula solution isIntegral constant C1 and C2 bushing can be found out by interior according to boundary condition Pressure:
Bushing is by external pressure:
Based on above-mentioned model inference, blade root external bushing and liner set of model can establish, as shown in Figure 3.
The radial displacement u of neck bush under external pressure1Are as follows:
The radial displacement u of external bushing under external pressure2Are as follows:
Due to magnitude of interference Δ=u2-u1, following relational expression can be obtained by bringing the displacement of interior external bushing into solution:
Since neck bush is identical as blade root lagging material, institute's above formula be can simplify are as follows:
Δ indicates that magnitude of interference, a indicate that neck bush internal diameter, b indicate that external bushing outer diameter, c indicate neck bush outer diameter in above formula.Root According to the material properties of bushing and the roughness of assembly surface, its contact surface coefficient of friction is obtained, and then obtains it and maximum quiet rubs Wipe power:
Fμ=2 π cLp μ (4)
C is the outer diameter of neck bush in above formula, and the axial length of L bushing interface, μ is neck bush and blade root bushing interface Coefficient of friction.
As shown in figure 4, the propeller shank bushing stress condition according to helicopter blade under rated speed, to root bushing Carry out force analysis, it is desirable that under bushing working condition, axial loosening does not occur for bushing.The wherein axial force of bushing root point Amount mainly centrifugal component, such as following formula:
Fa=1/2 (FcSin θ °) (note: there are two blade pins for one piece blade, therefore are herein 1/2.)
F in above formulacThe centrifugal force that bushing is subject to when rotating for blade, θ are the angle of busing axis and blade Plane of rotation. In helicopter normal flight envelope curve, it should be ensured that bushing maximum static friction force is greater than its axial centrifugal force component, and pine does not occur It is dynamic to slip.It is general to require in view of technique Machinability Evaluation:
Fa≤ (0.9~1.0) Fμ (6)
The selection of bushing assembly magnitude of interference is carried out according to the limitation of above formula and matching requirements.The application also brings following Advantage: magnitude of interference is suitable for multiple rework process after change, and the maximum static friction force that maximum neck bush provides after reaming can omit It is slightly variable greatly, effect is preferable.
With reference to Fig. 7, abscissa is magnitude of interference selected value, and unit mm, ordinate is radial load, unit N, at specified turn In fast situation, interior external bushing begins have the radial load of 11000N or so, and oblique line indicates that different interference magnitudes are able to bear most Big radial load, such as when 0.07mm, revolving speed is more than certain value, is detached from radial load i.e. when reaching about 10000N, and The magnitude of interference of 0.1mm can satisfy the radial load of 14000N or more.
In the attached drawing, after inside and outside liner wear, need to carry out reaming to neck bush, to increase its outer diameter, diagram looks for that Three oblique lines are indicated from bottom to top by reaming twice, it is to be understood that the outer diameter of neck bush are increased after reaming, accordingly Magnitude of interference is increased, therefore effect can be more preferable.
The beneficial effect of the design method is: computation model and passes through examination closer to the stress model of actual bushing Verifying and accidental validation, it is as a result more reliable, it is more acurrate that also there is higher applicability.
Key point of the invention
2. the present invention has following three key points:
(1) a set of accurate neck bush magnitude of interference force analysis model is established;
(2) the plan boundary condition that design neck bush magnitude of interference is chosen has been determined;
(3) it reprocesses replacement to neck bush to be analyzed, it is ensured that feasibility.
Having the technical effect that for the design method carries out theoretical model foundation for neck bush and blade root bushing and carries out interference Meter point counting analysis, for computation model closer to reality, calculated result is more acurrate;By verification experimental verification, show final design result more Reliably.By the empirical verification of model, successive ignition in the design of bushing magnitude of interference can be effectively solved the problems, such as, at design initial stage Various aspects are considered, maintenance maintenance and the change in design work of subsequent failure are avoided.
The above, the only specific embodiment of the application, but the protection scope of the application is not limited thereto, it is any Within the technical scope of the present application, any changes or substitutions that can be easily thought of by those familiar with the art, all answers Cover within the scope of protection of this application.Therefore, the protection scope of the application should be with the scope of protection of the claims It is quasi-.

Claims (4)

1. a kind of helicopter blade root bushing magnitude of interference determines method characterized by comprising
Step S1, the internal diameter and outer diameter of blade root Outer Diameter of lining, the neck bush being set in blade root bushing are obtained, and obtains bushing Elasticity modulus;
Step S2, the magnitude of interference between blade root bushing and neck bush and the relationship between pressure are determined;
Step S3, the relationship between maximum static friction force and pressure is determined;
Step S4, the axial thrust load of the bushing root under helicopter blade rotation status is obtained;
Step S5, in the case where the axial thrust load is less than or equal to the pressure, magnitude of interference is calculated, paddle is designed according to magnitude of interference The internal-and external diameter of root bushing and neck bush.
2. helicopter blade root bushing magnitude of interference as described in claim 1 determines method, which is characterized in that in step S2, The relationship between magnitude of interference and pressure between blade root bushing and neck bush are as follows:
Wherein, c is blade root Outer Diameter of lining, a is the internal diameter of neck bush, the outer diameter that b is neck bush, and E is elasticity modulus, and p is pressure, Δ is magnitude of interference.
3. helicopter blade root bushing magnitude of interference as described in claim 1 determines method, which is characterized in that the step S5 In, the axial thrust load is less than or equal to the pressure representative are as follows:
Fa≤kFμ
Wherein, FaFor axial thrust load, FμFor pressure, k is the corrected parameter as caused by processing error.
4. helicopter blade root bushing magnitude of interference as claimed in claim 3 determines method, which is characterized in that the k is 0.9 ~1.
CN201811361269.7A 2018-11-15 2018-11-15 A kind of helicopter blade root bushing magnitude of interference determines method Pending CN109598032A (en)

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CN110781568A (en) * 2019-11-28 2020-02-11 重庆市超群工业股份有限公司 Rim cutting length calculation method
CN112434417A (en) * 2020-11-20 2021-03-02 哈尔滨汽轮机厂有限责任公司 Intelligent calculation method for strength of sleeve of steam turbine valve

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Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN110781568A (en) * 2019-11-28 2020-02-11 重庆市超群工业股份有限公司 Rim cutting length calculation method
CN112434417A (en) * 2020-11-20 2021-03-02 哈尔滨汽轮机厂有限责任公司 Intelligent calculation method for strength of sleeve of steam turbine valve

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