CN107512406B - Method for pre-inspecting vertical and lateral inertia of elongated projectile body - Google Patents
Method for pre-inspecting vertical and lateral inertia of elongated projectile body Download PDFInfo
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- CN107512406B CN107512406B CN201710661336.6A CN201710661336A CN107512406B CN 107512406 B CN107512406 B CN 107512406B CN 201710661336 A CN201710661336 A CN 201710661336A CN 107512406 B CN107512406 B CN 107512406B
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- B64—AIRCRAFT; AVIATION; COSMONAUTICS
- B64F—GROUND OR AIRCRAFT-CARRIER-DECK INSTALLATIONS SPECIALLY ADAPTED FOR USE IN CONNECTION WITH AIRCRAFT; DESIGNING, MANUFACTURING, ASSEMBLING, CLEANING, MAINTAINING OR REPAIRING AIRCRAFT, NOT OTHERWISE PROVIDED FOR; HANDLING, TRANSPORTING, TESTING OR INSPECTING AIRCRAFT COMPONENTS, NOT OTHERWISE PROVIDED FOR
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Abstract
The invention relates to a vertical direction and a lateral direction of a slender elastomerThe method for pre-inspecting the inertia is used for pre-inspecting and judging the vertical inertia and the lateral inertia of the elongated projectile in the modeling of the airplane flutter model and comprises the step of calculating a pre-estimated value I of the inertia of the elongated projectilepCalculating the inertia prediction ratio k of the slender elastomerIThrough the inertia estimation ratio kIAnd judging whether the vertical and lateral rotational inertia of the elongated projectile body is reasonable or not. Compared with the traditional method which only can passively receive input data, the method provides a preliminary inspection method for vertical and lateral inertia data of the elongated projectile during modeling of the flutter model, reduces the possibility of overlarge errors of the vertical and lateral inertia input values of the elongated projectile, and reduces the possibility of errors during modeling of the flutter model.
Description
Technical Field
The invention belongs to the field of aeroelasticity mechanics, and particularly relates to a method for pre-detecting vertical and lateral inertia of an elongated projectile body.
Background
For some aircraft, there are often hangings under the wing, such as missiles, fuel tanks, pods, which are mostly elongate projectile structures. When an airplane is developed, the influence of the elongated projectile structures on airplane flutter characteristics must be considered, so that airplane flutter modeling analysis work is required.
Aircraft flutter modeling analysis generally requires the mass, center of mass, and inertia of the projectile. The mass and centroid are relatively intuitive and generally provide relatively accurate input data. Inertia values of slender bullets are not very intuitive, errors often occur, and even some inertia values input data and real values are greatly different in work.
The vertical inertia and the lateral inertia of the slender projectile body have obvious influence on the flutter characteristic of the airplane, a preliminary inspection method for the vertical inertia and the lateral inertia of the slender projectile body in advance does not exist in the prior art, and designers can only passively carry out flutter model modeling and analysis according to data provided by a mass center of mass and an inertia data input party. The wrong inertia data can bring great influence to airplane flutter calculation, give wrong flutter calculation results, and even delay the development progress of airplane models.
Disclosure of Invention
The invention aims to provide a method for pre-inspecting the vertical inertia and the lateral inertia of an elongated projectile body, which is used for modeling a flutter model, so as to provide a theoretical basis for pre-preliminarily inspecting the vertical inertia and the lateral inertia of the elongated projectile body, reduce the possibility of overlarge errors of the vertical inertia and the lateral inertia input values of the elongated projectile body and improve the modeling precision of the flutter model.
In order to achieve the purpose, the invention adopts the technical scheme that: a method for pre-examining and judging vertical inertia and lateral inertia of elongated projectile in airplane flutter model modeling comprises the following steps
(1) Calculating an estimated inertia value I of the elongated projectilep
Wherein m is the mass of the elongated projectile body and L is the length of the elongated projectile body;
(2) calculating the estimated inertia ratio k of the slender projectile bodyI
Wherein, IyVertical inertia of elongated projectile body, IzThe lateral inertia of an elongated projectile body;
(3) by the estimated inertia ratio kIAnd judging whether the vertical and lateral rotational inertia of the elongated projectile body is reasonable or not.
Further, theVertical inertia I of elongated projectile bodyyAnd lateral inertia IzThe error range of the two is within 5 percent.
Further, the method for judging whether the vertical inertia and the lateral inertia of the elongated projectile body are reasonable comprises the following steps:
if the estimated inertia ratio k of elongated projectile bodyIMore than or equal to 5, the vertical inertia and the lateral inertia of the elongated projectile body are unreasonable;
if the estimated inertia ratio of the slender elastomer is more than 5 and more than kIMore than or equal to 1.7, the vertical inertia and the lateral inertia of the elongated projectile body are unreasonable, and the larger the value of kI is, the more unreasonable the kI is;
if the estimated inertia ratio of the slender elastomer is 1.7 & gt kIAnd the vertical inertia and the lateral inertia of the elongated projectile body are reasonable if the inertia is more than 0.
Further, if the vertical inertia and the lateral inertia of the elongated projectile are not reasonable, checking whether the vertical inertia and the lateral inertia of the elongated projectile are correct, and repeating the steps 1 to 3 to judge whether the vertical inertia and the lateral inertia of the elongated projectile are reasonable again.
The method for pre-inspecting the vertical inertia and the lateral inertia of the slender projectile body provides theoretical support for the vertical inertia and the lateral inertia of the slender projectile body, reduces the possibility of overlarge errors of the vertical inertia and the lateral inertia input values of the slender projectile body, and improves the accuracy of the airplane flutter model modeling.
Drawings
The accompanying drawings, which are incorporated in and constitute a part of this specification, illustrate embodiments consistent with the invention and together with the description, serve to explain the principles of the invention.
Figure 1 is a simplified structural schematic of an elongated projectile of the present invention.
Where L is the length of the projectile, m is the mass, O is the center of mass of the elongated projectile, and Oxyz is the coordinate system of the elongated projectile about the center of mass with the Ox axis along the longitudinal axis of the projectile, the Oy axis along the horizontal, and the Oz axis along the vertical.
Detailed Description
In order to make the implementation objects, technical solutions and advantages of the present invention clearer, the technical solutions in the embodiments of the present invention will be described in more detail below with reference to the accompanying drawings in the embodiments of the present invention.
Referring to the simplified schematic structure of the elongated projectile according to the embodiment of the present invention shown in fig. 1, the x direction is the direction of the axis of the elongated projectile rearward, the y direction is the direction perpendicular to x and away from the fuselage along the wing, and the z direction is the direction perpendicular to the xy plane upward (away from the landing gear).
The method for pre-inspecting the vertical inertia and the lateral inertia of the elongated projectile used for modeling the flutter model of the airplane in the invention has the known length L and mass m of the elongated projectile and the known vertical inertia I of the centroid coordinate system Oxyz of the elongated projectileyAnd lateral inertia IzIn the case of (2), an estimated inertia value I of the elongated projectile is first calculatedpThen calculating to obtain the estimated inertia ratio k of the elongated projectile bodyIFurther determine the vertical and lateral inertia values I of the elongated projectileyAnd IzWhether it is reasonable.
In the above known amount, all units are unified into international units, that is, the length L of the elongated projectile is in meters (m), the mass m is in kilograms (kg), and the vertical inertia I of the elongated projectile isySide inertia IzAnd an inertia estimate IpUnit of (2) is kilogram-square meter (kg-m)2) Inertia prediction ratio kIIs a dimensionless unit of 1. The method for pre-inspecting the vertical inertia and the lateral inertia of the slender projectile body comprises the following steps:
1) calculating an estimated value I of inertia of elongated projectile according to the following formulap：
2) Calculating the inertia estimated ratio k of the elongated projectile body according to the following formulaI：
3) By inertia estimate kIJudging vertical and lateral inertia values I of elongated projectile bodyyAnd IzWhether it is reasonable.
It is noted that in the present invention, the vertical inertia I of the generally elongated projectile isyAnd lateral inertia IzAre two relatively close values, and the error between the two values should be within 5% in order to ensure the final precision.
Further, in the present invention, the method for determining whether the vertical inertia and the lateral inertia of the elongated projectile are reasonable is:
if the estimated inertia ratio k of elongated projectile bodyIGreater than or equal to 5, the vertical inertia and the lateral inertia of the elongated projectile must not be justified;
if the estimated inertia ratio of the slender elastomer is more than 5 and more than kI1.7 or more, the vertical inertia and the lateral inertia of the elongated projectile are generally unreasonable, and become unreasonable as the value of kI becomes larger;
if the estimated inertia ratio of the slender elastomer is 1.7 & gt kIIf the inertia is more than 0, the vertical inertia and the lateral inertia of the slender projectile body are judged to be reasonable preliminarily.
In the invention, the method further comprises the following steps of checking whether the vertical inertia and the lateral inertia of the elongated projectile in the known quantity are correct or not when the vertical inertia and the lateral inertia of the elongated projectile are judged to be unreasonable, and then repeating the steps 1 to 3 to judge whether the vertical inertia and the lateral inertia of the elongated projectile are reasonable or not again.
The method of the present invention is computationally validated with a specific set of data.
Table 1 shows the preliminary results of the vertical inertia and the lateral inertia of a certain type of round a, a certain type of round B, and a certain type of round C (round a, round B, and round C are all elongated rounds). After preliminary pre-inspection of a certain type of bullet A, the estimated inertia ratio is less than 1.7, and the data of the certain type of bullet A is preliminarily judged to be normal and reasonable. And the inertia prediction ratio of a certain type of bomb B is between 1.7 and 5 after preliminary pre-inspection, and the data of the certain type of bomb B is suspected to be unreasonable. After reconcile with the data entry house, the data entry party found that for a certain type of bomb B, an unreasonable result was given due to the wrong selection of the reference coordinate system. After modification, a data input party provides reasonable data, and the inertia prediction ratio of the data input party is less than 1.7 and meets the requirement after preliminary verification, as shown in a certain type of bullet B (after modification). For a certain type of bullet C, the estimated inertia ratio is larger than 6.68, which is seriously not qualified, so that the certain type of bullet C is returned to a data input party to be recalculated.
Table 1 projectile inertia pre-inspection judgment
Compared with the traditional method which only can passively receive input data, the method provides a preliminary inspection method for vertical and lateral inertia data of the elongated projectile during modeling of the flutter model, reduces the possibility of overlarge errors of the vertical and lateral inertia input values of the elongated projectile, and reduces the possibility of errors during modeling of the flutter model.
The above description is only for the best mode of the present invention, but the scope of the present invention is not limited thereto, and any changes or substitutions that can be easily conceived by those skilled in the art within the technical scope of the present invention are included in the scope of the present invention. Therefore, the protection scope of the present invention shall be subject to the protection scope of the appended claims.
Claims (4)
1. A method for pre-inspecting vertical and lateral inertias of elongated projectiles is used for pre-inspecting and judging the vertical inertias and the lateral inertias of the elongated projectiles in airplane flutter model modeling and is characterized by comprising the following steps of
(1) Calculating an estimated inertia value I of the elongated projectilep
Wherein m is the mass of the elongated projectile body and L is the length of the elongated projectile body;
(2) calculating the estimated inertia ratio k of the slender projectile bodyI
Wherein, IyVertical inertia of elongated projectile body, IzThe lateral inertia of an elongated projectile body;
(3) by the estimated inertia ratio kIAnd judging whether the vertical inertia and the lateral inertia of the elongated projectile body are reasonable or not.
2. Method for pre-inspecting the vertical and lateral inertias of an elongated projectile according to claim 1, wherein the vertical inertias I of said elongated projectile are measuredyAnd lateral inertia IzThe error range of the two is within 5 percent.
3. The method of pre-inspecting vertical and lateral inertias of an elongated projectile of claim 1, wherein the method of determining whether the vertical and lateral inertias of the elongated projectile are reasonable is:
if the estimated inertia ratio k of elongated projectile bodyIMore than or equal to 5, the vertical inertia and the lateral inertia of the elongated projectile body are unreasonable;
if the estimated inertia ratio of the slender elastomer is more than 5 and more than kIMore than or equal to 1.7, the vertical inertia and the lateral inertia of the elongated projectile body are unreasonable, and the larger the value of kI is, the more unreasonable the kI is;
if the estimated inertia ratio of the slender elastomer is 1.7 & gt kIAnd the vertical inertia and the lateral inertia of the elongated projectile body are reasonable if the inertia is more than 0.
4. A method as claimed in claim 3, wherein if the vertical inertia and the lateral inertia of the elongated projectile are not reasonable, the vertical inertia and the lateral inertia of the elongated projectile are checked to determine whether they are correct, and then the steps 1 to 3 are repeated to determine whether the vertical inertia and the lateral inertia of the elongated projectile are reasonable again.
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Citations (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN102419238A (en) * | 2011-08-15 | 2012-04-18 | 中国航空工业集团公司西安飞机设计研究所 | Device for measuring mass moment of inertia of flutter model |
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| JP4310043B2 (en) * | 2000-12-05 | 2009-08-05 | 本田技研工業株式会社 | Flutter test model |
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| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN102419238A (en) * | 2011-08-15 | 2012-04-18 | 中国航空工业集团公司西安飞机设计研究所 | Device for measuring mass moment of inertia of flutter model |
Non-Patent Citations (1)
| Title |
|---|
| "基于扭摆法的弹体转动惯量测量系统及误差分析";穆继亮;《机械工程与自动化》;20090228(第1期);正文第103-105页 * |
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