CN104143014B - One kind is without independent counterweight space tubular article flutter model method for designing - Google Patents
One kind is without independent counterweight space tubular article flutter model method for designing Download PDFInfo
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- CN104143014B CN104143014B CN201410153977.7A CN201410153977A CN104143014B CN 104143014 B CN104143014 B CN 104143014B CN 201410153977 A CN201410153977 A CN 201410153977A CN 104143014 B CN104143014 B CN 104143014B
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Abstract
The invention belongs to field of airplane design, it is related to one kind without independent counterweight space tubular article flutter model method for designing, it is characterised in that tubular article flutter model design, first, design rigidity are carried out using profile-followed counterweight：Flutter model and target material object frequency and mode similarity are more than 95%；Second, design outline：Flutter model is consistent with the aerodynamic configuration that target is in kind；3rd, designing quality：More than 95%, profile-followed counterweight replaces part design outline for flutter model and target quality in kind, barycenter and rotary inertia similarity.Its advantage is：While original mentality of designing has been taken into account, counterweight space is expanded, increased weight mass, made possess design feasibility without independent counterweight space tubular article flutter model.
Description
Technical field
The invention belongs to field of airplane design, it is related to one kind without independent counterweight space tubular article flutter model method for designing.
Background technology
In field of airplane design, for being improved without independent counterweight space tubular article flutter model method for designing, typically
When flutter model is designed, designing quality is that counterweight this step is individually to carry out, and model has independent counterweight space, it is necessary to many
The directly corresponding counterweight point addition on flutter model of few counterweight.
Conventional flutter model design, it has the disadvantage：The space and quality for needing model are to coordinate, that is, have enough matching somebody with somebody
Weight surplus has enough counterweight spaces again.But when the space of model and quality are uncoordinated, especially counterweight surplus excessively causes to match somebody with somebody
It is just unworkable according to conventional method for designing during weight insufficient space.
The content of the invention
The purpose of the present invention is：One kind is provided without independent counterweight space tubular article flutter model method for designing, more than counterweight
When amount excessively causes counterweight insufficient space, still can proceed flutter model design.
The technical scheme is that：Without independent counterweight space tubular article flutter model method for designing, its feature exists one kind
In comprising the following steps：
First, design rigidity：The rigidity of model is combining foundation by skeleton guarantee by skeleton rigidity and target quality in kind
FEM model in, calculate frequency and target frequency similarity error in kind within 5%, calculate mode in kind with target
Mode similarity be MAC value more than 0.95；
Second, design outline：The aerodynamic configuration of flutter model is consistent with the aerodynamic configuration that target is in kind.That is the pass of dimensional piece
Bond parameter：Diameter, length, position, its flutter model is in kind to target completely similar；
3rd, designing quality：Flutter model and target quality in kind, barycenter and rotary inertia similarity error 5% with
Interior, counterweight is profile-followed, which occupies the space of script dimensional piece, so actual increase quality=weight mass-superseded dimension
Shape part quality.
It is an advantage of the invention that：
1）Counterweight is profile-followed, has expanded counterweight space, increases weight mass, make cannot the tubular article of independent counterweight quiver
The model that shakes possesses design feasibility；
2）Design process without subversive change, followed conventional design cycle substantially more in the past, was set for this specialty
Meter personnel do not increase design difficulty.
Brief description of the drawings
Accompanying drawing 1 is the general illustration of the embodiment of the present invention,
Identical shade represents identical material in figure.
Accompanying drawing 2 is embodiment of the present invention skeleton schematic diagram；
Accompanying drawing 3 is embodiment of the present invention counterweight schematic diagram；
Accompanying drawing 4 is embodiment of the present invention dimensional piece schematic diagram.
Specific embodiment
Below by specific embodiment and with reference to accompanying drawing, the present invention is described in further detail.
First, design rigidity：The rigidity of model is ensured by skeleton, as shown in Fig. 2 the skeleton of this example is using density
2.8g/cm37075, surface anodization treatment, it is a straight-bar for being slightly less than tubular article length, and section is square, its
The length of side is unique variable；At two exposed platform with holes be used to simulating with the connection of other models, the size of platform with enough and
Profile is not protruded to be defined, and can take the circumstances into consideration to design；On software for calculation, under freely-free operating mode, by skeleton rigidity and target
In the FEM model that quality in kind combination is set up, after the conversion by the likelihood ratio in kind with target of its first natural frequency first
Within 5%, its first rank natural mode of vibration is in kind with target to press the first rank natural mode after the likelihood ratio is converted to rank intrinsic frequency error
State similarity（That is MAC value）More than 0.95, the length of side in this case is exactly the length of side for meeting rigidity Design, certainly, inherently
Frequency error is the smaller the better, and it is 1 better that natural mode of vibration similarity more levels off to.
2nd, design outline：The aerodynamic configuration of model ensures jointly by dimensional piece and counterweight, such as Fig. 3, shown in 4, but initially
Ensured by dimensional piece during design, counterweight is the dimensional piece that substituted for part；The dimensional piece of this instance model uses close
It is 0.4g/cm to spend3Korean pine make the shell portion of tubular article, its striped is using density along the stack shell direction of tubular article
1g/cm3Laminate cutting make tubular article ledge.Its profile is come by section clamp and ledge outline plan figure
Ensure；Its diameter, length, the installation site and shape of protrusion is in kind to target completely similar；Cylindrical body timesharing is made, point
Make symmetrical two halves to make, to be weighed, counterweight is well pasted on skeleton again afterwards, and the ledge of cylindrical body is installed on accordingly
Position on, above-mentioned cylinder and ledge all simulate target profile in kind completely, as exposed with holes flat at two
Platform, after this model and other models are connected, is glued with adhesive plaster along tubular profile, can play a part of to tie up shape, equivalent to
Profile is also simulated herein.
3rd, designing quality：The quality of model is ensured by counterweight, as shown in figure 3, the counterweight of this example is using density
11.3g/cm3Lead, its outer section is circle by lathe process, and diameter is identical with the diameter of tubular article, it is ensured that simulate cylinder
The precision of shape beyond the region of objective existence shape, its inner section is drawn out and skeleton section same holes, i.e. square hole, it is ensured that the close contact with skeleton, counterweight
When, first determine the position of counterweight point, the then counterweight surplus according to flutter model, its quality, barycenter and rotary inertia it is similar
Principle calculates weight mass；Specifically, target is in kind by after likelihood ratio conversion, its quality is M（Unit：G, following unit with
This is identical）, it is X along the barycenter of X-axis（Unit：Mm, with forward end apex as origin, along stack shell direction be X-axis, following unit and this
It is identical）, it is I around the rotary inertia of Y-axisY（Unit is：g.mm2, following unit is identical with this）, the model of non-counterweight measures its matter
It is m to measure, and is x along the barycenter of X-axis, is i around the rotary inertia of Y-axisY, counterweight is balance of, mass M0, it is X along the barycenter of X-axis0, around Y
The rotary inertia of axle is IY0, meet following relation：
M=m+M0
MX=mx+M0X0
IY=iY+IY0
By three above equation can solve counterweight surplus M0, X0, IY0
After knowing counterweight surplus, 3 counterweight points are chosen, its barycenter is respectively X1, X2, X3, its quality is respectively M1, M2, M3,
Meet following relational expression：
M1+M2+M3=M0
M1X1+M2X2+M3X3=M0X0
M1X1 2+M2X2 2+M3X3 2=IY0
Weight mass M can be solved to obtain by three above equation1, M2, M3
Note, M1, M2, M3Solution may have negative value, need to choose suitable position, make M1, M2, M3Be all on the occasion of.In this example
Before, during and after selection 3 points as counterweight point, with weight values all for just, and quality is more uniform for gained, ideal.
Because weight mass is profile-followed, so also needing to calculate the counterweight space being actually needed, it is accomplished by calculating every in this example
One counterweight length, sets as follows：A diameter of d of tubular article model, the length of side in skeleton section is a, then M1Length L1Meet：
(Π(d/2)2-a2)L1(11.3-0.4)=M1
It is possible thereby to obtain M1Length L1, can similarly obtain L2And L3
Three pieces of different lengths can be made completely accordingly, the lead of same cross-sectional during bonding, is coated in skeleton relevant position
After glue, the counterweight in the middle of skeleton due to there is platform to hinder set not enter needs that counterweight first is cut into two and half by counterweight set thereon
Circle, gluing is applied in section part, after skeleton relevant position applies gluing, is enclosed within the relevant position of skeleton, is cemented and is dried.Glue afterwards
When connecing dimensional piece, the dimensional piece of counterweight position is bonded by cutting away.
After having designed and produced tubular article flutter model by above step, first natural frequency similarity error is integrally measured
Within ± 10%, first step mode similarity meets flutter model design requirement more than 0.9.
Claims (5)
1. one kind is without independent counterweight space tubular article flutter model method for designing, it is characterised in that comprise the following steps：
First, design rigidity：Flutter model and target material object frequency and mode similarity are more than 95%；
Second, design outline：Flutter model is consistent with the aerodynamic configuration that target is in kind；
3rd, designing quality：Flutter model and target quality in kind, barycenter and rotary inertia similarity more than 95%, with the shape
Counterweight replace part design outline.
2. it is according to claim 1 without independent counterweight space tubular article flutter model method for designing, it is characterised in that model
Rigidity by skeleton ensure, combine by skeleton rigidity and target quality in kind set up FEM model in, calculate frequency and
Within 5%, the calculating mode mode similarity in kind with target is MAC value 0.95 to target frequency similarity error in kind
More than.
3. it is according to claim 1 without independent counterweight space tubular article flutter model method for designing, it is characterised in that flutter
The aerodynamic configuration of model is consistent with the aerodynamic configuration that target is in kind, i.e. the key parameter of dimensional piece：Diameter, length, position, it quivers
The model that shakes is in kind to target completely similar.
4. it is according to claim 1 without independent counterweight space tubular article flutter model method for designing, it is characterised in that flutter
Model and target quality in kind, barycenter and rotary inertia similarity error are within 5%.
5. it is according to claim 1 without independent counterweight space tubular article flutter model method for designing, it is characterised in that counterweight
It is profile-followed, which occupies the space of script dimensional piece, so actual increase quality=weight mass-superseded dimensional piece matter
Amount.
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| CN201410153977.7A CN104143014B (en) | 2014-04-17 | 2014-04-17 | One kind is without independent counterweight space tubular article flutter model method for designing |
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| CN105083584B (en) * | 2015-06-23 | 2017-02-01 | 中国航空工业集团公司西安飞机设计研究所 | Flutter model of plane missile system |
| CN108387359B (en) * | 2018-03-02 | 2020-01-24 | 西安费斯达自动化工程有限公司 | Fourier modeling method for flutter analysis grid model of aircraft |
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