CN104143014A - Design method of cylindrical object flutter model free of independent counter weight space - Google Patents
Design method of cylindrical object flutter model free of independent counter weight space Download PDFInfo
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- CN104143014A CN104143014A CN201410153977.7A CN201410153977A CN104143014A CN 104143014 A CN104143014 A CN 104143014A CN 201410153977 A CN201410153977 A CN 201410153977A CN 104143014 A CN104143014 A CN 104143014A
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- flutter model
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Abstract
The invention belongs to the field of airplane design and relates to a design method of a cylindrical object flutter model free of an independent counter weight space. The design method is characterized in that a profile-followed counter weight is adopted to conduct cylindrical object flutter model design; the method comprises the steps as follows: firstly, stiffness design: the similarity of the flutter model and a target real object in frequency and mode is more than 95%; secondly, shape design: aerodynamic shapes of the flutter model and the target real object are consistent; thirdly, mass design: the similarity of the flutter model and the target real object in mass, center of mass and rotational inertia is more than 95%, and the profile-followed counter weight replaces the partial design shape. The design method has the benefits as follows: the counter weight space is expanded and the counter weight mass is increased while the original design thought is considered, so that the cylindrical object flutter model free of the independent counter weight space has design feasibility.
Description
Technical field
The invention belongs to airplane design field, relate to a kind of without independent counterweight space tubular article flutter model method for designing.
Background technology
In airplane design field, for improving without independent counterweight space tubular article flutter model method for designing, generally in the time of design flutter model, designing quality is that this step of counterweight is carried out separately, model has independently counterweight space, needs the directly corresponding counterweight point interpolation on flutter model of how many counterweights.
Flutter model design in the past, its shortcoming is: need the space of model and quality to coordinate, have enough counterweight surpluses to have again enough counterweight spaces.But space and the quality of working as model are inharmonious, when especially counterweight surplus too much causes counterweight insufficient space, just unworkable according to method for designing in the past.
Summary of the invention
The object of the invention is: provide a kind of without independent counterweight space tubular article flutter model method for designing, in the time that counterweight surplus too much causes counterweight insufficient space, still can proceed flutter model design.
Technical scheme of the present invention is: one without independent counterweight space tubular article flutter model method for designing, is characterized in that, comprises the steps:
First, design rigidity: the rigidity of model is ensured by skeleton, in the finite element model of being set up by skeleton rigidity and the combination of target quality in kind, the frequency similarity error of calculated rate and target material object is in 5%, and the mode similarity of compute mode and target material object is that MAC value is more than 0.95;
The second, design outline: the aerodynamic configuration of flutter model is consistent with the aerodynamic configuration of target material object.Be the key parameter of dimensional piece: diameter, length, position, its flutter model is completely similar to target material object;
The 3rd, designing quality: quality, barycenter and the moment of inertia similarity error of flutter model and target material object are in 5%, and counterweight is conformal, it has taken the space of dimensional piece originally, increases quality=weight mass-superseded dimensional piece quality so actual.
Advantage of the present invention is:
1) counterweight is conformal, has expanded counterweight space, has increased weight mass, make cannot independent counterweight tubular article flutter model possessed design feasibility;
2) design process did not have subversive change more in the past, substantially followed design cycle in the past, did not increase design difficulty for this professional designer.
Brief description of the drawings
Accompanying drawing 1 is the general illustration of the embodiment of the present invention,
In figure, identical shade represents identical material.
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.
Embodiment
Below by specific embodiment, also the present invention is described in further detail by reference to the accompanying drawings.
One, design rigidity: the rigidity of model ensures by skeleton, as shown in Figure 2, it is 2.8g/cm that the skeleton of this example uses density
37075, surface anodization processing, it is a straight-bar that is slightly less than tubular article length, cross section be square, its length of side is unique variable; The exposed platform with holes in two places is for simulating and being connected of other model, and the size of platform is as the criterion with enough and outstanding profile, can design as one sees fit; On software for calculation, freely-freely under operating mode, in the finite element model of being set up by skeleton rigidity and the combination of target quality in kind, first natural frequency error after its first natural frequency and target material object are converted by ratio of similitude is in 5%, the first rank natural mode of vibration similarity (being MAC value) after its first rank natural mode of vibration and target material object are converted by ratio of similitude is more than 0.95, the length of side is in this case exactly the length of side that meets rigidity Design, certainly, natural frequency error is the smaller the better, and it is 1 better that natural mode of vibration similarity more levels off to.
Two, design outline: the aerodynamic configuration of model ensures jointly by dimensional piece and counterweight, as Fig. 3, shown in 4, but is ensured, counterweight has just been replaced the dimensional piece of part when initial designs by dimensional piece; It is 0.4g/cm that the dimensional piece of this instance model uses density
3korean pine make the shell portion of tubular article, its striped is along the stack shell direction of tubular article, use density is 1g/cm
3laminate cutting make the outshot of tubular article.Its profile is ensured by cross section clamp and outshot profile planimetric map; Its diameter, length, the installation site of protrusion and shape are completely similar to target material object; Make cylindrical body timesharing, point make symmetrical two halves and make, to be weighed, counterweight is well pasted on skeleton afterwards again, the outshot of cylindrical body is installed on corresponding position, and above-mentioned cylindrical shell and outshot have all been simulated the profile of target material object completely, as for the exposed platform with holes in two places, after this model and other model connect, glue along tubular profile with adhesive plaster, can play the effect of dimension shape, be equivalent to also simulate profile herein.
Three, designing quality: the quality of model ensures by counterweight, as shown in Figure 3, it is 11.3g/cm that the counterweight of this example is used density
3lead, its outer cross section is processed as circle through lathe, diameter is identical with the diameter of tubular article, has ensured the precision of simulation tubular article profile, and in it, draw out and skeleton cross section same holes in cross section, it is square hole, ensure and the close contact of skeleton, when counterweight, first determine the position of counterweight point, then according to the counterweight surplus of flutter model, the principle of similarity of its quality, barycenter and moment of inertia is calculated weight mass; Be specially, target material object is after ratio of similitude converts, and its quality is M(unit: g, following unit is identical therewith), be X(unit: mm along the barycenter of X-axis, taking forward end apex as initial point, along stack shell direction be X-axis, below unit identical therewith), be I around the moment of inertia of Y-axis
y(unit is: g.mm
2, below unit identical therewith), the not model of counterweight, recording its quality is m, is x along the barycenter of X-axis, is i around the moment of inertia of Y-axis
y, counterweight surplus is, mass M
0, be X along the barycenter of X-axis
0, be I around the moment of inertia of Y-axis
y0, meet following relation:
M=m+M
0
MX=mx+M
0X
0
I
Y=i
Y+I
Y0
Can solve to obtain the M of counterweight surplus by above three equations
0, X
0, I
y0
Know after counterweight surplus, choose 3 counterweight points, its barycenter is respectively X
1, X
2, X
3, its quality is respectively M
1, M
2, M
3, meet following relational expression:
M
1+M
2+M
3=M
0
M
1X
1+M
2X
2+M
3X
3=M
0X
0
M
1X
1 2+M
2X
2 2+M
3X
3 2=I
Y0
Can solve to obtain weight mass M by above three equations
1, M
2, M
3
Note M
1, M
2, M
3solve and may have negative value, need choose suitable position, make M
1, M
2, M
3be entirely on the occasion of.Before, during and after choosing in this example 3 as counterweight point, gained counterweight value is all for just, and quality is comparatively even, ideal.
Due to weight mass conformal, so also need to calculate the counterweight space of actual needs, in this example, just need to calculate each counterweight length, be set as follows: the diameter of tubular article model is d, the length of side in skeleton cross section is a, M
1length L
1meet:
(Π(d/2)
2-a
2)L
1(11.3-0.4)=M
1
Can obtain thus M
1length L
1, in like manner can obtain L
2and L
3
Can make accordingly three different lengths completely, the lead of same cross-sectional, when bonding, be coated with after gluing in skeleton relevant position, counterweight is overlapped thereon, counterweight in the middle of skeleton is not entered owing to there being platform to hinder cover, need first counterweight to be cut into two semicircles, be coated with gluing at section part, be coated with after gluing in skeleton relevant position, the relevant position that is enclosed within skeleton, cements and dries.When bonding dimensional piece, the dimensional piece of counterweight position cuts away can be bonding afterwards.
Designed and produced after tubular article flutter model by above step, entirety records first natural frequency similarity error in ± 10%, and first step mode similarity, more than 0.9, meets flutter model design requirement.
Claims (5)
1. without an independent counterweight space tubular article flutter model method for designing, it is characterized in that, comprise the steps:
The first, design rigidity: flutter model and target frequency in kind and mode similarity are more than 95%;
The second, design outline: flutter model is consistent with the aerodynamic configuration of target material object;
The 3rd, designing quality: quality, barycenter and the moment of inertia similarity of flutter model and target material object are more than 95%, and the counterweight of conformal replaces partial design profile.
2. according to claim 1 without independent counterweight space tubular article flutter model method for designing, it is characterized in that, the rigidity of model is ensured by skeleton, in the finite element model of being set up by skeleton rigidity and the combination of target quality in kind, the frequency similarity error of calculated rate and target material object is in 5%, and the mode similarity of compute mode and target material object is that MAC value is more than 0.95.
3. according to claim 1ly it is characterized in that without independent counterweight space tubular article flutter model method for designing, the aerodynamic configuration of flutter model is consistent with the aerodynamic configuration of target material object, it is the key parameter of dimensional piece: diameter, length, position, its flutter model is completely similar to target material object.
4. according to claim 1ly it is characterized in that without independent counterweight space tubular article flutter model method for designing, quality, barycenter and the moment of inertia similarity error of flutter model and target material object are in 5%.
5. according to claim 1ly it is characterized in that without independent counterweight space tubular article flutter model method for designing, counterweight is conformal, and it has taken the space of dimensional piece originally, increases quality=weight mass-superseded dimensional piece quality so actual.
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CN105083584A (en) * | 2015-06-23 | 2015-11-25 | 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 |
CN108387359A (en) * | 2018-03-02 | 2018-08-10 | 西安费斯达自动化工程有限公司 | Aircraft flutter analysis grid model Fourier modeling method |
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CN108387359A (en) * | 2018-03-02 | 2018-08-10 | 西安费斯达自动化工程有限公司 | Aircraft flutter analysis grid model Fourier modeling method |
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