CN114001909B - Design method of displacement element for wind tunnel roll dynamic derivative test - Google Patents

Design method of displacement element for wind tunnel roll dynamic derivative test Download PDF

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CN114001909B
CN114001909B CN202111316846.2A CN202111316846A CN114001909B CN 114001909 B CN114001909 B CN 114001909B CN 202111316846 A CN202111316846 A CN 202111316846A CN 114001909 B CN114001909 B CN 114001909B
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column beam
displacement element
column
thickness
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郭雷涛
谢飞
吴友生
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Ultra High Speed Aerodynamics Institute China Aerodynamics Research and Development Center
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    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01M—TESTING STATIC OR DYNAMIC BALANCE OF MACHINES OR STRUCTURES; TESTING OF STRUCTURES OR APPARATUS, NOT OTHERWISE PROVIDED FOR
    • G01M9/00—Aerodynamic testing; Arrangements in or on wind tunnels
    • B—PERFORMING OPERATIONS; TRANSPORTING
    • 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 discloses a design method of a displacement element for a wind tunnel roll dynamic derivative test. The main body of the displacement element is a cylinder, two ends of the displacement element are provided with mounting interfaces, and the central position of the displacement element is provided with four column beams; the left side and the right side of the four-column beam are symmetrically cut with a plurality of circular seams. The design method comprises the steps of obtaining the maximum diameter of a dynamic derivative balance matched with a displacement element; calculating the length of the four-column beam, the distance from the centroid of the four-column beam to the axis and the height of the four-column beam; calculating the theoretical thickness of the four column beams; creating a displacement element three-dimensional model and calculating a strain value of the measuring beam; calculating the design thickness of the four column beams; reconstructing a displacement element according to the design thickness of the four-column beam, verifying whether the four-column beam of the displacement element meets the requirements on rigidity and strength, and repeating iteration until the requirements on rigidity and strength are met; and finally determining the length of the four-column beam, the distance from the centroid of the four-column beam to the axis, the height of the four-column beam and the design thickness of the four-column beam. The displacement element has simple and reliable structure, simple design method, easy realization, high efficiency and engineering practical value.

Description

Design method of displacement element for wind tunnel roll dynamic derivative test
Technical Field
The invention belongs to the technical field of wind tunnel tests, and particularly relates to a design method of a displacement element for a wind tunnel roll dynamic derivative test.
Background
In the wind tunnel test, a forced vibration test technology can be adopted to obtain the dynamic derivative of the aircraft, one of the key technologies of the forced vibration dynamic derivative test technology is to accurately obtain the amplitudes of the model at different moments, and the displacement element of the four-column beam structure can accurately measure the amplitude of the model. At present, the design of the displacement element of the four-column beam structure depends on the working experience of scientific researchers, and the obvious defects are that the design period is usually several days, the workload is large, and the displacement element is inconvenient for a user to learn and master.
Currently, there is a need to develop a design method of a displacement element for wind tunnel roll dynamic derivative test.
Disclosure of Invention
The invention aims to provide a design method of a displacement element for a wind tunnel rolling derivative test.
The main body of the displacement element is a cylinder; the two ends of the displacement element are provided with mounting interfaces, and the displacement element is fixedly connected with the dynamic derivative balance through the mounting interfaces; four column beams are arranged at the central position of the cylinder; symmetrical circular seam groups are cut on the left side and the right side of the four column beams, each circular seam group comprises a plurality of circular seams, each circular seam is not broken, the vertex angle range of the circular seams is 270-330 degrees, the lengths of connecting sections of the circular seams are the same, and the connecting sections are arranged in a staggered mode;
the four-column beam comprises four long-strip-shaped cross beams which are positioned at the radius of the cylinder and are uniformly distributed along the circumferential direction of the cylinder; the diameter of the four column beams is the same as that of the cylinder and is D; the length l of the four-column beam, l = 0.7D-0.8D; the axial distance ρ from the center of the four-column beam to the displacement element; the height h of the four-column beam is 5-8 mm; designing the thickness b of the four-column beam;
the length l of the four-column beam, the distance rho from the centroid of the four-column beam to the axis, the height h of the four-column beam and the design thickness b of the four-column beam meet the index requirements of rigidity and strength of a wind tunnel test.
The invention discloses a design method of a displacement element for a wind tunnel roll dynamic derivative test, which comprises the following steps:
a. according to the limitation of the wind tunnel rolling dynamic derivative test conditions, the maximum diameter D of a dynamic derivative balance matched with a displacement element is obtained, and the length l of a four-column beam is = 0.7D-0.8D;
b. calculating the distance rho between the centroid of the four-column beam and the axis and the height h of the four-column beam, wherein the formula is as follows:
ρ＝0.5(D-h)
h＝5mm～8mm；
c. solving at target strain ε Target Theoretical thickness b of four-column beam under the condition 0 The formula is as follows:
Figure GDA0004097363460000021
wherein, the target strain epsilon in the wind tunnel rolling rotation derivative test Target ＝500×10 -6 The maximum deflection angle gamma is approximately equal to 1 degree;
d. according to the length l of the four-column beam of the displacement element, the distance rho from the centroid of the four-column beam to the axis, the height h of the four-column beam and the theoretical thickness b of the four-column beam 0 Establishing a three-dimensional model, and simulating by adopting CAE software; under the initial condition that the maximum roll angle is gamma, calculating the strain value epsilon of the four column beams Simulation (Emulation) And further calculate the thickness of the four-column beamCorrecting a factor lambda, and finally calculating the design thickness b of the four-column beam, wherein the calculation formula is as follows:
Figure GDA0004097363460000022
Figure GDA0004097363460000023
e. reconstructing a three-dimensional model according to the design thickness b of the four-column beam, simulating by adopting CAE software, rechecking whether the displacement element meets the index requirements of rigidity and strength, changing the length l of the four-column beam and the distance rho between the centroid of the four-column beam and the axis if the index requirements are not met, and recalculating the design thickness b of the four-column beam until a result meeting the index requirements is obtained;
f. and obtaining the design parameters of the displacement elements required by the wind tunnel roll dynamic derivative test, wherein the design parameters comprise the length l of the four-column beam, the distance rho from the centroid of the four-column beam to the axis, the height h of the four-column beam and the design thickness b of the four-column beam.
The displacement element has simple and reliable structure.
The design method of the displacement element for the wind tunnel roll dynamic derivative test has the following advantages:
1. the dependence on the working experience of scientific researchers is small, and a user can quickly master and apply the method;
2. the design process is simple, easy to realize and high in efficiency;
3. the design period is shortened to several hours, resources are saved, and waste is avoided.
The design method of the displacement element for the wind tunnel rolling dynamic derivative test has engineering practical value, can be popularized to engineering practice, and expands the test capability of the dynamic derivative balance.
Drawings
FIG. 1 is a schematic structural diagram of a displacement element;
FIG. 2 is a flow chart of a method for designing a displacement element for a wind tunnel roll dynamic derivative test according to the present invention;
FIG. 3 is a simulation result obtained by the method for designing the displacement element for the wind tunnel roll derivative test according to the present invention.
Detailed Description
The present invention will be described in detail below with reference to the accompanying drawings and examples.
As shown in fig. 1, the body of the displacement element is a cylinder; the two ends of the displacement element are provided with mounting interfaces, and the displacement element is fixedly connected with the dynamic derivative balance through the mounting interfaces; four column beams are arranged at the central position of the cylinder; symmetrical circular seam groups are cut on the left side and the right side of the four column beams, each circular seam group comprises a plurality of circular seams, each circular seam is not broken, the vertex angle range of the circular seams is 270-330 degrees, the lengths of connecting sections of the circular seams are the same, and the connecting sections are arranged in a staggered mode;
the four-column beam comprises four long-strip-shaped cross beams which are positioned at the radius of the cylinder and are uniformly distributed along the circumferential direction of the cylinder; the diameter of the four column beams is the same as that of the cylinder and is D; the length l of the four-column beam, l = 0.7D-0.8D; the axial distance ρ from the center of the four-column beam to the displacement element; the height h of the four-column beam is 5-8 mm; designing the thickness b of the four-column beam;
the length l of the four-column beam, the distance rho from the centroid of the four-column beam to the axis, the height h of the four-column beam and the design thickness b of the four-column beam meet the index requirements of rigidity and strength of a wind tunnel test.
As shown in FIG. 2, the method for designing the displacement element for the wind tunnel roll dynamic derivative test of the invention comprises the following steps:
a. according to the limitation of the wind tunnel rolling dynamic derivative test conditions, the maximum diameter D of a dynamic derivative balance matched with a displacement element is obtained, and the length l of a four-column beam is = 0.7D-0.8D;
b. calculating the distance rho between the centroid of the four-column beam and the axis and the height h of the four-column beam, wherein the formula is as follows:
ρ＝0.5(D-h)
h＝5mm～8mm；
c. solving at target strain ε Target Theoretical thickness b of four-column beam under the condition 0 The formula is as follows:
Figure GDA0004097363460000041
wherein, the target strain epsilon in the wind tunnel rolling rotation derivative test Target ＝500×10 -6 The maximum deflection angle gamma is approximately equal to 1 degree;
d. according to the length l of the four-column beam of the displacement element, the distance rho from the centroid of the four-column beam to the axis, the height h of the four-column beam and the theoretical thickness b of the four-column beam 0 Establishing a three-dimensional model, and simulating by adopting CAE software; under the initial condition that the maximum roll angle is gamma, calculating the strain value epsilon of the four column beams Simulation (Emulation) And further calculating a four-column beam thickness correction factor lambda, and finally calculating the design thickness b of the four-column beam, wherein the calculation formula is as follows:
Figure GDA0004097363460000042
Figure GDA0004097363460000043
e. reconstructing a three-dimensional model according to the design thickness b of the four-column beam, simulating by adopting CAE software, rechecking whether the displacement element meets the index requirements of rigidity and strength, changing the length l of the four-column beam and the distance rho between the centroid of the four-column beam and the axis if the index requirements are not met, and recalculating the design thickness b of the four-column beam until a result meeting the index requirements is obtained;
f. and obtaining the design parameters of the displacement elements required by the wind tunnel roll dynamic derivative test, wherein the design parameters comprise the length l of the four-column beam, the distance rho from the centroid of the four-column beam to the axis, the height h of the four-column beam and the design thickness b of the four-column beam.
Example 1
In the embodiment, the design of the displacement element is completed by adopting the method for designing the displacement element for the wind tunnel roll dynamic derivative test. The specific parameters of the displacement element are as follows:
maximum diameter D =66mm; the inner diameter d =50mm of the four-column beam; length l =50mm of the four-column beam; the thickness b =1.5mm of the four-column beam; amplitude γ =1 °; strain value epsilon of four column beam Simulation (Emulation) ≈500×10 -6 。
And applying a force in the Y direction on a YZ plane to the displacement element to obtain a shear strain in the Y direction on the YZ plane as shown in fig. 3, wherein the shear strain can meet the requirements of a wind tunnel test, and the displacement element can be used for the wind tunnel test.
Although the embodiments of the present invention have been disclosed above, it is not limited to the applications listed in the description and the embodiments, but it can be applied to various fields suitable for the present invention. Additional modifications and refinements of the present invention will readily occur to those skilled in the art without departing from the principles of the present invention, and therefore the present invention is not limited to the specific details and illustrations shown and described herein without departing from the general concept defined by the claims and their equivalents.

Claims (1)

1. A design method of a displacement element for a wind tunnel roll dynamic derivative test is characterized in that a main body of the displacement element is a cylinder; the two ends of the displacement element are provided with mounting interfaces, and the displacement element is fixedly connected with the dynamic derivative balance through the mounting interfaces; four column beams are arranged at the central position of the cylinder; symmetrical circular seam groups are cut on the left side and the right side of the four column beams, each circular seam group comprises a plurality of circular seams, each circular seam is not broken, the vertex angle range of the circular seams is 270-330 degrees, the lengths of connecting sections of the circular seams are the same, and the connecting sections are arranged in a staggered mode;
the four-column beam comprises four long-strip-shaped cross beams which are positioned at the radius of the cylinder and are uniformly distributed along the circumferential direction of the cylinder; the diameter of the four column beams is the same as that of the cylinder and is D; the length l of the four-column beam, l = 0.7D-0.8D; the axial distance ρ from the center of the four-column beam to the displacement element; the height h of the four-column beam is 5-8 mm; designing the thickness b of the four-column beam;
the length l of the four-column beam, the distance rho from the centroid of the four-column beam to the axis, the height h of the four-column beam and the design thickness b of the four-column beam meet the index requirements of rigidity and strength of a wind tunnel test;
the design method comprises the following steps:
a. according to the limitation of the wind tunnel rolling dynamic derivative test conditions, the maximum diameter D of a dynamic derivative balance matched with a displacement element is obtained, and the length l of a four-column beam is = 0.7D-0.8D;
b. calculating the distance rho between the centroid of the four-column beam and the axis and the height h of the four-column beam, wherein the formula is as follows:
ρ＝0.5(D-h)
h＝5mm～8mm；
c. solving at target strain ε Target Theoretical thickness b of four-column beam under the condition 0 The formula is as follows:
Figure FDA0004097363430000011
wherein, the target strain epsilon in the wind tunnel rolling rotation derivative test Target ＝500×10 -6 The maximum deflection angle gamma is approximately equal to 1 degree;
d. according to the length l of the four-column beam of the displacement element, the distance rho from the centroid of the four-column beam to the axis, the height h of the four-column beam and the theoretical thickness b of the four-column beam 0 Establishing a three-dimensional model, and simulating by adopting CAE software; under the initial condition that the maximum roll angle is gamma, calculating the strain value epsilon of the four column beams Simulation (Emulation) And further calculating a four-column beam thickness correction factor lambda, and finally calculating the design thickness b of the four-column beam, wherein the calculation formula is as follows:
Figure FDA0004097363430000021
Figure FDA0004097363430000022
e. reconstructing a three-dimensional model according to the design thickness b of the four-column beam, simulating by adopting CAE software, rechecking whether the displacement element meets the index requirements of rigidity and strength, changing the length l of the four-column beam and the distance rho between the centroid of the four-column beam and the axis if the index requirements are not met, and recalculating the design thickness b of the four-column beam until a result meeting the index requirements is obtained;
f. and obtaining the design parameters of the displacement elements required by the wind tunnel roll dynamic derivative test, wherein the design parameters comprise the length l of the four-column beam, the distance rho from the centroid of the four-column beam to the axis, the height h of the four-column beam and the design thickness b of the four-column beam.
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US6564626B2 (en) * 1999-11-26 2003-05-20 The Boeing Company Apparatus and method for measuring forces and moments acting on models tested in aerodynamic wind tunnels
CN207300536U (en) * 2017-06-23 2018-05-01 重庆科技学院 Gas chamber aeroelastic model wind tunnel test displacement measurement system
CN107966264B (en) * 2017-11-09 2019-09-06 中国航天空气动力技术研究院 One kind being used for hypersonic wind tunnel rolling forced vibration dynamic derivative experimental rig
CN209198043U (en) * 2019-01-24 2019-08-02 中国空气动力研究与发展中心高速空气动力研究所 A kind of dibit shifting rolling dynamic derivative testing device for core of resuming classes
CN109612680B (en) * 2019-01-24 2024-01-30 中国空气动力研究与发展中心高速空气动力研究所 Double-position rolling rotation derivative test device capable of rechecking
CN110160736B (en) * 2019-03-20 2020-11-13 北京机电工程研究所 Coupling elastic modal unsteady aerodynamic force measuring device and method
CN110940484B (en) * 2019-11-13 2021-11-16 中国航天空气动力技术研究院 Rolling forced vibration dynamic derivative test device for high-speed flying wing model under large attack angle
CN111189611B (en) * 2020-03-13 2021-05-25 中国空气动力研究与发展中心高速空气动力研究所 Wind tunnel test method based on strain type two-component surface friction resistance measuring balance
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