CN110162921A - A kind of aero-engine stator blade joint debugging method of optimizing its structure - Google Patents
A kind of aero-engine stator blade joint debugging method of optimizing its structure Download PDFInfo
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- CN110162921A CN110162921A CN201910473153.0A CN201910473153A CN110162921A CN 110162921 A CN110162921 A CN 110162921A CN 201910473153 A CN201910473153 A CN 201910473153A CN 110162921 A CN110162921 A CN 110162921A
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F01—MACHINES OR ENGINES IN GENERAL; ENGINE PLANTS IN GENERAL; STEAM ENGINES
- F01D—NON-POSITIVE DISPLACEMENT MACHINES OR ENGINES, e.g. STEAM TURBINES
- F01D17/00—Regulating or controlling by varying flow
- F01D17/10—Final actuators
- F01D17/12—Final actuators arranged in stator parts
- F01D17/14—Final actuators arranged in stator parts varying effective cross-sectional area of nozzles or guide conduits
- F01D17/16—Final actuators arranged in stator parts varying effective cross-sectional area of nozzles or guide conduits by means of nozzle vanes
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- G—PHYSICS
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- G06F—ELECTRIC DIGITAL DATA PROCESSING
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- G06F30/15—Vehicle, aircraft or watercraft design
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- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02T—CLIMATE CHANGE MITIGATION TECHNOLOGIES RELATED TO TRANSPORTATION
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Abstract
The invention belongs to aero-engine stator blade joint debugging mechanism optional design technical field more particularly to a kind of aero-engine stator blade joint debugging method of optimizing its structure.The kinematical equation of two-stage joint debugging mechanism is solved by homogeneous coordinates method and graphical method combination MATLAB software；According to the rotation relation between two-stage crank, two-step rocker arm rotation relation equation is derived by two-stage kinematical equation；By rocker arm rotation relation equation, combined optimization is carried out to the key member in two-stage joint debugging mechanism using genetic algorithm.The joint debugging mechanism for meeting design requirement must can be rapidly and efficiently designed by this method.And theory analysis has more confidence level and convincingness than simulation analysis；Multi-stage combination optimizes the range that can be significantly expanded feasible solution, provides more selections for the design of mechanism；Intelligent optimization algorithm can significantly improve the speed of analysis and solution, precision, improve design efficiency, shorten the design cycle.
Description
Technical field
The invention belongs to aero-engine stator blade joint debugging mechanism optional design technical field more particularly to a kind of aeroplane engines
Machine stator blade joint debugging method of optimizing its structure.
Background technique
Currently, referring to Fig.1, the construction of well known stator blade joint debugging at different levels mechanism be by crank, connecting rod, linkage ring, support and
Rocker arm composition, it is at different levels between be connected by connecting rod between grade, entire mechanism is driven by pressurized strut.Driving force of the connecting rod pressurized strut between grade
Cranks at different levels are passed to, crank is rotated around crank rotary shaft, and shakes arm rotation, stator blade by connecting rod and linkage annulus
It is connected with one end of rocker arm, rotates stator blades at different levels by the respectively specified characteristics of motion
Specified angle.But joint debugging mechanism spatial movement relationship is complicated, design difficulty is big.
It much to its design and analysis is carried out by the method for emulation and trial and error.Such as Air China's industry in 2016
The beam of Shenyang engine design and research institute is refreshing etc. to be published in an article in " aero-engine ", is based on the method for emulation
ADAMS software is analyzed, optimizes, devising multi-cascade regulating mechanism.Nanjing Aero-Space University master graduate Zhang Shuai exists within 2015
Distich regulating mechanism areal model has carried out kinematics solution with D-H method is improved in thesis, analyzes its characteristics of motion.
The Zhang Xiaoning etc. of Air China's industry Shenyang engine design and research institute in 2014 is published in " the joint debugging mechanism void in " aero-engine "
Quasi- model machine kinematics and dynamics simulation " in ADAMS software distich regulating mechanism carried out kinematics simulation analysis, then use
AUTOCAD software distich regulating mechanism stator blade rotating rules at different levels are solved, and solving result and simulation result are carried out pair
Than, it was demonstrated that the correctness of simulation result and the superiority of emulation mode.
Currently, carried out by motion simulation mostly for the optimization design of multi-cascade regulating mechanism, and theory analysis ratio
Compared with shortcoming.And in terms of Optimization Solution, serial optimization (first optimize zero level, then optimize other grades on the basis of it) is belonged to,
Not up to multi-stage combination optimizes.
Summary of the invention
(1) technical problems to be solved
For existing technical problem, the present invention provides a kind of aero-engine stator blade joint debugging mechanism optional design
Method.
(2) technical solution
In order to achieve the above object, the main technical schemes that the present invention uses include:
A kind of aero-engine stator blade joint debugging method of optimizing its structure, in which: pass through homogeneous coordinates method and graphical method
The kinematical equation of two-stage joint debugging mechanism is solved in conjunction with MATLAB software；
According to the rotation relation between two-stage crank, two-step rocker arm rotation relation side is derived by two-stage kinematical equation
Journey；
By rocker arm rotation relation equation, the key member in two-stage joint debugging mechanism combine using genetic algorithm excellent
Change.
Preferably, two-stage joint debugging mechanism includes zero level joint debugging mechanism and first order joint debugging mechanism, first order joint debugging mechanism
Mechanism is symmetrical structure with zero level joint debugging；
Every cascade regulating mechanism is all made of crank, connecting rod, support, linkage ring, rocker arm, blade, by connecting rod phase between grade between grade
Even；
Crank is rotated around crank rotary shaft, rocker arm is rotated around blade rotary shaft, linkage ring is around casing central axis rotation
It is moved axially simultaneously along casing central axis；
The basis coordinates system of mechanism establishes the rotation center of zero level linkage ring in the initial state.
Preferably, zero level rocker arm and the chord length that turns over of linkage ring are equal in the component of x-axis direction, i.e., rocker arm length multiplied by
Rocker arm turn over the size of the sine value of angle and linkage ring radius multiplied by linkage ring turn over angle sine value it is equal in magnitude, i.e.,
S and S0It is equal；
Thus zero level rocker arm rotational angle ω is solved0With linkage ring rotational angle β0Relationship；
In addition, the linkage ring displacement of the axial translation made by casing central axis t can also be obtained0Size be equal to rocker arm length
Rocker arm length is subtracted multiplied by the cosine value of rocker arm rotational angle.
Preferably, zero level crank, linkage ring, connecting rod, rack constitute one containing a revolute pair, two typed ball bearing pairs,
The spatial linkage of one cylindrical pair；
With the equation of motion for tearing bar method open and solving this part body, connecting rod is removed, before solving movement with homogeneous coordinates method
Rear crank endpoint (a0、a1) coordinate and linkage ring endpoint (b0、b1) coordinate may finally be derived using bar elongate member
Zero level crank angle degree θ0With linkage ring rotational angle β0Between relation equation；
In conjunction with the zero level rocker arm rotational angle ω found out before0With linkage ring rotational angle β0Between relationship, eliminate
The rotational angle β of linkage ring0, zero level crank angle degree θ can be found out0With the rotational angle ω of rocker arm0Relation equation,
That is zero level joint debugging mechanism kinematic equation can analyze the characteristics of motion of zero level joint debugging mechanism by this equation.
Preferably, bar elongate member is that the distance between movement front and back crank endpoint and linkage ring endpoint are constant.
Preferably, two-stage crank is connected by connecting rod between grade, two-stage crank and connecting rod between grade and rack composition parallel four
Bian Xing mechanism, so the rotational angle of two-stage crank is identical, i.e. θ0With θ1It is equal in magnitude, it is contrary.
Due to two-stage joint debugging, mechanism is symmetric relation, so the characteristics of motion of two-stage component is identical, the direction only moved
On the contrary, by first order crank angle degree θ1With the rotational angle β of linkage ring1Relation equation and first order rocker arm rotational angle
ω1With linkage ring rotational angle β1Relation equation can derive first order crank angle degree θ1With rocker arm rotational angle θ1It closes
It is equation, i.e. first order joint debugging mechanism kinematic equation；
It can analyze the characteristics of motion of first order joint debugging mechanism by first order joint debugging mechanism kinematic equation.
Using zero level crank and the equal-sized condition of first order crank angle degree, cascaded by zero level and first
The regulating mechanism equation of motion can derive two-stage joint debugging mechanism rocker arm rotation relation equation.
Preferably, every curve of two-step rocker arm rotation relation curve is all a camber line, can using this arc curve
To be fitted with aim curve: i.e. by two-stage joint debugging mechanism rocker arm rotation relation equation, using genetic algorithm, with practical song
The fitting degree of line and aim curve is target, carries out combined optimization to the component in two-step mechanism.
Preferably, on the basis of the purpose of optimization is two-step rocker arm rotational angle in two times of relationships, rotate two-step rocker arm
Angular speed is also in two times of relationships, and optimization object is the adjustable end length of two-stage crank and adjustable end, fixing end angle.
(3) beneficial effect
The beneficial effects of the present invention are: the equation of motion and relation equation provided by the invention that can be gone out by theory deduction
The rotating rule of rocker arm (stator blade) between at different levels and multistage is analyzed, and two-step mechanism can be combined by relation equation
Optimization.The joint debugging mechanism for meeting design requirement must can be rapidly and efficiently designed by this method.And theory analysis is than emulation
Analysis has more confidence level and convincingness；Multi-stage combination optimizes the range that can be significantly expanded feasible solution, mentions for the design of mechanism
For more selecting；Intelligent optimization algorithm can significantly improve the speed of analysis and solution, precision, improve design efficiency, and shortening is set
Count the period.
Detailed description of the invention
Fig. 1 is the joint debugging institutional bodies illustraton of model that the specific embodiment of the invention provides；
Fig. 2 is the two-stage joint debugging mechanism lines illustraton of model that the specific embodiment of the invention provides；
Fig. 3 is zero level rocker arm-linkage ring theory movement procedure chart that the specific embodiment of the invention provides；
Fig. 4 is zero level rocker arm-linkage ring actual motion process that the specific embodiment of the invention provides；
Fig. 5 is zero level linkage ring-crank-motion process that the specific embodiment of the invention provides；
Fig. 6 is the two-stage crank-motion process that the specific embodiment of the invention provides；
Fig. 7 is first order crank-linkage ring motion process that the specific embodiment of the invention provides；
Fig. 8 is first order linkage ring-rocker motion process that the specific embodiment of the invention provides；
Fig. 9 is the two-step rocker arm rotational angle relation curve that the specific embodiment of the invention provides；
Figure 10 is two-step rocker arm rotation angle relation curve after the optimization that the specific embodiment of the invention provides；
Figure 11 is two-step rocker arm rotation angle relation curve partial enlargement after the optimization that the specific embodiment of the invention provides
Figure.
[description of symbols]
1: the zero level crank；2: the zero level rocker arms；3: connecting rod；4: support；5: blade；6: linkage ring；7: connecting rod between grade；8:
First order crank；9: first order rocker arm.
Specific embodiment
In order to preferably explain the present invention, in order to understand, with reference to the accompanying drawing, by specific embodiment, to this hair
It is bright to be described in detail.
The invention discloses a kind of aero-engine stator blade joint debugging method of optimizing its structure, by homogeneous coordinates method and
Graphical method combination MATLAB software solves the kinematical equation of two-stage joint debugging mechanism；
According to the rotation relation between two-stage crank, two-step rocker arm rotation relation side is derived by two-stage kinematical equation
Journey；
By rocker arm rotation relation equation, the key member in two-stage joint debugging mechanism combine using genetic algorithm excellent
Change.
This method it is specific the following steps are included:
Fig. 2 is two-stage joint debugging mechanism lines model, in order to be more clear figure, is only marked to zero level.0th
Grade is symmetrical structure with the first order, is connected between two-stage by connecting rod between grade.Joint debugging mechanisms at different levels all by crank, connecting rod, linkage ring,
Support, rocker arm composition.Its move all are as follows: crank around crank rotary shaft rotate, rocker arm around blade rotary shaft rotate, linkage ring around
It is moved axially while casing central axis rotation along casing central axis.The basis coordinates system XOY of mechanism is established in the initial state
The rotation center of zero level linkage ring.The coordinate system of the application abides by the right-hand rule.In solution procedure linkage ring and
Support, which is seen, to be integrated, and linkage ring (support) is denoted as.
The 1.1 zero level equations of motion
The derivation of the zero level equation of motion is in such a way that graphical method and homogeneous coordinates method combine.
1.1.1 zero level rocker arm-linkage loop section
Rocker arm is in plane X in joint debugging mechanism2O2Y2In around Z2Axis (blade rotary shaft) rotates angle ω0.It links around Y-axis
(casing central axis) rotates angle beta0While along Y-axis negative direction translation distance t0(i.e. coordinate origin changes to O by O1).Due to
Rocker arm rotary shaft is vertical with linkage ring rotary shaft, so the rear arm endpoint f that theoretically rotates by a certain angle1With the company on linkage ring
Contact f can be separated, as shown in Figure 3.The Z coordinate that the slight deformation of practical upper rocker arm itself compensates for two o'clock is poor, as shown in Figure 4.
No matter in theoretical or in practice, f1Point is equal always with the X-component of f point coordinate, i.e., the chord length that turns over of rocker arm and
Projection (respectively S of the chord length that linkage ring turns in X-direction0And S) equal.That is:
S0=S (1)
Ignore the influence of rocker arm slight deformation, available:
S0=r0sinω0 (2)
S=R0sinβ0 (3)
Zero level linkage ring rotational angle β is obtained by formula (1), formula (2), formula (3)0With rocker arm rotational angle ω0Relationship:
R0sinβ0r0sinω0 (4)
Wherein:
R0--- the-the zero level linkage ring radius；
r0--- the-the zero level rocker arm length；
β0--- the-the zero level linkage ring rotational angle；
ω0--- the-the zero level rocker arm rotational angle.
1.1.2 zero level linkage ring-crank section
As shown in figure 5, crank is in plane X4O4Y4In around Z4Axis (crank rotary shaft) rotates angle, θ0.Link ring (support) around
Y-axis rotates angle beta0While along Y-axis negative direction translation distance t0。
Linkage ring (support), connecting rod, crank is adjustable end also organic frame constitutes containing two typed ball bearing pairs of a revolute pair with
And the spatial four-bar mechanism (RSSC) of a cylindrical pair.It is analyzed it with bar method is torn open, i.e. dismounting connecting rod.With homogeneous seat
Mark method solves crank endpoint a before movement0, movement before linkage ring (support) and connecting rod tie point b0, and movement rear crank end
Point a1, link after movement ring (support) and connecting rod tie point b1Coordinate in basis coordinates system XOY.According to movement front-rear linkage
Length it is constant, establish crank angle degree and link ring rotational angle between relation equation.
B as shown in Figure 50Coordinate of the point in basis coordinates system XOY are as follows:
b0=[0 0 H0]T (5)
Wherein: H0----point O to point b0Distance.
Coordinate system 3 is rotated to obtain by coordinate system 1 around Y-axis.Then from coordinate system XOY to coordinate system 3 transformation To3Are as follows:
To3=Trans (0 ,-t0, 0) and Rot (Y ,-β0) (6)
Wherein: t0=r0(1-cosω0)。
Point b1Homogeneous coordinates in coordinate system 3 are [0 0 H0 1]TThen point b1Homogeneous coordinates in basis coordinates system XOY
Are as follows:
By the available point b of formula (7)1Coordinate b in basis coordinates system XOY1。
Similarly, from coordinate system XOY to coordinate system 5,6 transformation T can be found outo5、To6, and then find out a0、a1The coordinate of point.
Coordinate system 5,6 is all by coordinate system 4 around Z4(crank rotary shaft) axis rotates by a certain angle to obtain.Then:
Wherein:
--- the-the zero level crank rotary shaft and Z axis angle；
α0--- the-the zero level crank fixing end and adjustable end angle；
h0--- the-the zero level crank rotation center O4To the distance of point O；
L0--- end length that the-the zero level crank is adjustable.
Wherein: θ0--- the-the zero level crank angle degree.
Point a0Homogeneous coordinates and point a in coordinate system 51Homogeneous coordinates in coordinate system 6 are all [L0 0 0 1]T。
Then point a0、a1Homogeneous coordinates in basis coordinates system XOY are respectively as follows:
A is acquired respectively by formula (10), (11)0、a1。
The length for moving front-rear linkage is constant, it may be assumed that
(a0-b0)T(a0-b0)=(a1-b1)T(a1-b1) (12)
Formula (12) is carried out to solve available zero level crank angle degree θ0With linkage ring rotational angle β0Relationship.
Wushu (12) and formula (4) simultaneous eliminate linkage ring rotational angle β0To get to the zero level equation of motion:
1.1.3 zero level crank-first order crank section
As shown in Figure 6, connecting rod, rack constitute parallelogram between two-stage crank fixing end and grade, then zero level crank is solid
The angle δ that fixed end turns over0The angle δ turned over first order crank fixing end1It is equal.That is:
δ0=δ1 (14)
Again since crank fixing end and adjustable end are an entirety, so fixing end is equal with the angle that adjustable end turns over.
That is:
δ0=θ0 (15)
δ1=θ1 (16)
The adjustable end rotation angle, θ of zero level crank is obtained by formula (14), (15), (16)0It is revolved with the adjustable end of first order crank
Gyration θ1It is equal in magnitude.That is:
θ0=θ1 (17)
1.2 first order equations of motion
Two-stage joint debugging mechanism is symmetrical structure, so being equally applicable to the first order to the method for solving of zero level.
1.2.1 first order crank-linkage loop section
As shown in fig. 7, similar to zero level, first order crank is in plane X7O7Y7In around Z7Axis (i.e. crank rotary shaft) turns
Dynamic angle, θ1.Ring (support) is linked around Y-axis rotational angle β1While along Y-axis positive direction translation distance t1.Equally, the first order
Linkage ring (support), connecting rod, crank is adjustable end, rack also constitute a spatial four-bar mechanism (RSSC).
First order crank endpoint c before moving is solved with homogeneous coordinates method0, linkage ring (support) and connecting rod tie point d0,
First order crank endpoint c after movement1, linkage ring (support) and connecting rod tie point d1In the coordinate of basis coordinates system XOY.Utilize fortune
Dynamic front-rear linkage length is constant establishes equation equation, derives the pass of first order linkage ring rotational angle and crank angle degree
System.
D as shown in Figure 70Coordinate of the point in basis coordinates system XOY are as follows:
d0=[0 L H1]T (18)
Wherein:
L---- point O to point O11Distance；
H1----point O11To point d0Distance；
Coordinate system 8,9 is all by coordinate system 7 around Z7Axis (crank rotary shaft) rotates by a certain angle to obtain, and coordinate system 10 is by coordinate
Be 12 around Y-axis (casing central axis) rotation obtain.Then 8,9,10 transformation is respectively as follows: from coordinate system XOY to coordinate system
Wherein:
The angle of ----first order crank rotary shaft and Z axis；
a1----first order crank is adjustable end and fixing end angle；
h1----first order crank rotation center O7To O11Distance；
L1End length that ----first order crank is adjustable.
Wherein: θ1----first order crank rotation angle.
To10=Trans (0, L, 0) Trans (0, t1, 0) and Rot (Y, β1) (21)
Wherein: t1=r1(1-cosω1)。
Point c0Homogeneous coordinates and point c in coordinate system 81Homogeneous coordinates in coordinate system 9 are all [L1 0 0 1]T,
Point d1Homogeneous coordinates in coordinate system 10 are [0 0 H1 1]T.Then point c0、c1、d1Homogeneous coordinates in basis coordinates system XOY
Are as follows:
Point c is obtained by formula (22), (23), (24)0、c1、d1?
Coordinate in basis coordinates system XOY.
The length for rotating front-rear linkage is constant.That is:
(c0-d0)T(c0-d0)=(c1-d1)T(C1-d1) (25)
1.2.2 first order linkage ring-Rocker arm section
As shown in figure 8, rocker arm is in X13O13Y13Around Z in plane13Axis (i.e. blade rotary shaft) rotates angle ω1.Linkage ring exists
Angle beta is rotated around Y-axis (i.e. casing central axis)1While along Y-axis positive direction translation distance t1。
Ignore the deformation of rocker arm in motion process, then the chord length that rocker arm turns over and the chord length that linkage ring turns over are in X-direction
Projection it is equal, be all S1.That is:
R1sinβ1=r1sinω1 (26)
Wherein:
R1----first order linkage ring radius；
r1----first order rocker arm length；
β1----first order linkage ring rotational angle；
ω1----first order rocker arm rotational angle.
The first order equation of motion can be solved by formula (25), (26):
1.3 two-step rocker arm rotation relation equations
The zero level equation of motion and first order equation of motion connection are instantly available two-step rocker arm rotation relation equation.In order to make
Equation dependent variable and independent variable, which are shown, to be more clear, and zero level rocker arm rotational angle ω is now set0=x；Zero level crank angle
Spend θ0=t；First order rocker arm rotational angle ω1=y；By formula (17) it is found that first order crank angle degree and zero level crank
Rotational angle is equal, then first order crank angle degree θ1=t.As shown in formula (28), two-step rocker arm rotation relation equation be with
Zero level rocker arm rotational angle x is independent variable, using first order rocker arm rotational angle y as dependent variable, with two-stage crank angle degree t
For the parametric equation of parameter.
2. joint debugging Mechanism Optimization calculates
The optimization algorithm of use is genetic algorithm [18-19]；Optimization object is the adjustable end of crank in two-stage joint debugging mechanism
Length, crank are adjustable four variables in end and fixing end angle；Optimization aim is in two-step rocker arm rotational angle in two times of relationships
On the basis of make two-step rocker arm rotational angular velocity also the moment keep two times of relationship as far as possible.
2.1 optimization process
In the case where two-stage crank angle degree is located at as π/6, zero level rocker arm rotating object angle is π/18, the first order
Rocker arm rotating object angle is π/9.Zero level crank is adjustable end length range L0=30~60mm, zero level crank fixing end
With the range α of adjustable end angle0=0~π, first order crank is adjustable end length range L1=30~60mm, first order crank is adjustable
End and fixing end angular range α1=0- π.Other parameters: R0=350mm；r0=40mm；H0=390mm；h0=
360mm；R1=350mm；
H1=390mm；h1=360mm；r1=40mm.
Parameter is brought into formula (28) two-step rocker arm rotation relation equation, it is bent that two-step rocker arm rotation relation can be drawn out
Line, as shown in Figure 9
There are 64 curves in Fig. 9, each curve all indicates one group of variable to be optimized (two-stage crank is adjustable end length and can
Adjust end and fixing end angle) combine under two-step rocker arm rotation relation curve.Every group of combination, which all meets, makes two-step rocker arm angle of rotation
Degree is in the requirement (making zero level rocker arm rotate π/18, first order rocker arm is made to rotate π/9) of two times of relationships.Make two-step rocker arm angle of rotation
The speed moment as far as possible keeps two times of relationship, even if two-step rocker arm rotation relation curve is infinitely close to the straight line that slope is 2.With
This uses genetic algorithm end length L adjustable to zero level crank for target0, zero level crank is adjustable end and fixing end angle a0,
Level-one crank is adjustable end length L1, first order crank is adjustable end and fixation
Hold angle α1Optimization Solution, the one group of optimal solution repeatedly obtained after optimization are as shown in table 1:
The optimal solution of 1 joint debugging mechanism of table
Optimal solution is brought into formula (28) two-step rocker arm rotation relation equation, it is bent that two-step rocker arm rotation relation can be drawn out
Line.As shown in Figure 10,11:
As shown in Figure 10, two-step rocker arm actual rotation curve is completely coincident with aim curve.It is being protected so this group solution meets
In two-step rocker arm rotational angular velocity is made under the premise of two times of relationships, also the moment keeps 2 times of pass to card two-step rocker arm rotational angle as far as possible
System.
The technical principle of the invention is described above in combination with a specific embodiment, these descriptions are intended merely to explain of the invention
Principle shall not be construed in any way as a limitation of the scope of protection of the invention.Based on explaining herein, those skilled in the art
It can associate with other specific embodiments of the invention without creative labor, these modes fall within this hair
Within bright protection scope.
Claims (8)
1. a kind of aero-engine stator blade joint debugging method of optimizing its structure, it is characterised in that: pass through homogeneous coordinates method and figure
Solution combination MATLAB software solves the kinematical equation of two-stage joint debugging mechanism；
According to the rotation relation between two-stage crank, two-step rocker arm rotation relation equation is derived by two-stage kinematical equation；
By rocker arm rotation relation equation, combined optimization is carried out to the key member in two-stage joint debugging mechanism using genetic algorithm.
2. aero-engine stator blade joint debugging method of optimizing its structure according to claim 1, which is characterized in that
Two-stage joint debugging mechanism includes zero level joint debugging mechanism and first order joint debugging mechanism, first order joint debugging mechanism and zero level joint debugging
Mechanism is symmetrical structure；
Every cascade regulating mechanism is all made of crank, connecting rod, support, linkage ring, rocker arm, blade, is connected between grade by connecting rod between grade；
Crank is rotated around crank rotary shaft, rocker arm is rotated around blade rotary shaft, linkage ring is while around casing central axis rotation
It is moved axially along casing central axis；
The basis coordinates system of mechanism establishes the rotation center of zero level linkage ring in the initial state.
3. aero-engine stator blade joint debugging method of optimizing its structure according to claim 2, which is characterized in that the 0th
Grade rocker arm and the chord length that turns over of ring that links are equal in the component of X-direction, i.e. rocker arm length sine that angle is turned over multiplied by rocker arm
The size of value turns over equal in magnitude, i.e. S and the S of the sine value of angle with linkage ring radius multiplied by linkage ring0It is equal；
Thus zero level rocker arm rotational angle ω is solved0With linkage ring rotational angle β0Relationship；
In addition, the linkage ring displacement of the axial translation made by casing central axis t can also be obtained0Size be equal to rocker arm length subtract
Rocker arm length multiplied by rocker arm rotational angle cosine value.
4. aero-engine stator blade joint debugging method of optimizing its structure according to claim 3, which is characterized in that
Zero level crank, linkage ring, connecting rod, rack constitute one containing a revolute pair, two typed ball bearing pairs, cylindrical pair
Spatial linkage；
With the equation of motion for tearing bar method open and solving this part body, connecting rod is removed, it is bent to solve movement front and back with homogeneous coordinates method
Pommel point (a0、a1) coordinate and linkage ring endpoint (b0、b1) coordinate may finally derive the 0th using bar elongate member
Grade crank angle degree θ0With linkage ring rotational angle β0Between relation equation；
In conjunction with the zero level rocker arm rotational angle ω found out before0With linkage ring rotational angle β0Between relationship, eliminate linkage
The rotational angle β of ring0, zero level crank angle degree θ can be found out0With the rotational angle ω of rocker arm0Relation equation, i.e.,
Zero level joint debugging mechanism kinematic equation, can analyze the characteristics of motion of zero level joint debugging mechanism by this equation.
5. aero-engine stator blade joint debugging method of optimizing its structure according to claim 4, which is characterized in that bar is long
Condition is that the distance between movement front and back crank endpoint and linkage ring endpoint are constant.
6. aero-engine stator blade joint debugging method of optimizing its structure according to claim 5, which is characterized in that two-stage
Connecting rod is connected between crank passes through grade, and connecting rod and rack constitute parallelogram mechanism between two-stage crank and grade, so two-stage is bent
The rotational angle of handle is identical, i.e. θ0With θ1It is equal in magnitude, it is contrary.
Due to two-stage joint debugging, mechanism is symmetric relation, so the characteristics of motion of two-stage component is identical, what is only moved is contrary,
By first order crank angle degree θ1With the rotational angle β of linkage ring1Relation equation and first order rocker arm rotational angle ω1With
Link ring rotational angle β1Relation equation can derive first order crank angle degree θ1With rocker arm rotational angle θ1Relationship side
Journey, i.e. first order joint debugging mechanism kinematic equation；
It can analyze the characteristics of motion of first order joint debugging mechanism by first order joint debugging mechanism kinematic equation.
Using zero level crank and the equal-sized condition of first order crank angle degree, pass through zero level and first order joint debugging machine
The structure equation of motion can derive two-stage joint debugging mechanism rocker arm rotation relation equation.
7. aero-engine stator blade joint debugging method of optimizing its structure according to claim 6, which is characterized in that
Every curve of two-step rocker arm rotation relation curve is all a camber line, using this arc curve can and aim curve
It is fitted: i.e. by two-stage joint debugging mechanism rocker arm rotation relation equation, using genetic algorithm, with actual curve and aim curve
Fitting degree be target, in two-step mechanism component carry out combined optimization.
8. aero-engine stator blade joint debugging method of optimizing its structure according to claim 7, which is characterized in that optimization
Purpose be two-step rocker arm rotational angle in two times of relationships on the basis of, making two-step rocker arm rotational angular velocity also is in two times of relationships,
Optimization object is the adjustable end length of two-stage crank and adjustable end, fixing end angle.
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| CN112378671A (en) * | 2020-11-13 | 2021-02-19 | 东北大学 | Sliding pair friction wear test bed and method for stator blade adjusting mechanism of gas compressor |
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