CN117433484A - Wide-temperature-range wind tunnel multi-pivot flexible-wall spray pipe molded surface measuring device and measuring method - Google Patents
Wide-temperature-range wind tunnel multi-pivot flexible-wall spray pipe molded surface measuring device and measuring method Download PDFInfo
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01B—MEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
- G01B21/00—Measuring arrangements or details thereof, where the measuring technique is not covered by the other groups of this subclass, unspecified or not relevant
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- G01M9/06—Measuring arrangements specially adapted for aerodynamic testing
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- G06F—ELECTRIC DIGITAL DATA PROCESSING
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Abstract
The invention belongs to the field of wind tunnel spray pipe control, and discloses a wide-temperature-range wind tunnel multi-pivot flexible wall spray pipe molded surface measuring device and a measuring method, wherein the measuring device comprises a strain sensor, a temperature compensation block, a temperature compensation sensor and a data demodulation and analysis system; the strain sensor and the temperature compensation block are respectively fixed on the back airflow surface of the flexible wall plate of the wide-temperature-range wind tunnel multi-pivot flexible wall spray pipe; the temperature compensation sensor is fixed on the temperature compensation block; the strain sensor, the temperature compensation block and the temperature compensation sensor are connected with the data demodulation and analysis system. The invention is not only suitable for low-temperature wind tunnels, but also suitable for various temperature environments, and solves the problem that the traditional equipment cannot measure parameters of the flexible wallboard in a wide-temperature-range environment.
Description
Technical Field
The invention relates to the field of wind tunnel spray pipe control, in particular to a wide-temperature-range wind tunnel multi-pivot flexible wall spray pipe molded surface measuring device and a measuring method.
Background
The wide temperature range wind tunnel is special test equipment for an aircraft variable Reynolds number test, and the profile precision of the wind tunnel is critical to the flow field index. In a normal-temperature wind tunnel, the measurement of the spray pipe profile is often realized by an operator holding a laser scanner or a laser tracker. However, the lowest working temperature of the wide temperature range wind tunnel can be lower than-163 ℃, operators are difficult to enter the wind tunnel under the wide temperature range, and common measuring equipment cannot work under the wide temperature range, so that profile measurement under the wide temperature range cannot be realized by the conventional equipment.
Disclosure of Invention
Therefore, in order to solve the defects, the invention provides a device and a method for measuring the molded surface of the multi-pivot flexible-wall spray pipe of the wide-temperature-range wind tunnel.
In one aspect, the invention provides a wide-temperature-range wind tunnel multi-pivot flexible-wall spray pipe profile measuring device, which comprises a strain sensor, a temperature compensation block, a temperature compensation sensor and a data demodulation and analysis system;
the strain sensor and the temperature compensation block are respectively fixed on the back airflow surface of the flexible wall plate of the wide-temperature-range wind tunnel multi-pivot flexible wall spray pipe;
the temperature compensation sensor is fixed on the temperature compensation block;
the strain sensor, the temperature compensation block and the temperature compensation sensor are connected with the data demodulation and analysis system.
On the other hand, the invention provides a method for measuring the profile of the wide-temperature-range wind tunnel multi-pivot flexible-wall spray pipe, which comprises the following steps:
s100, at least one wide-temperature-range wind tunnel multi-pivot flexible wall spray pipe profile measuring device is arranged between adjacent support plates of a flexible wall plate;
s200, detecting the strain of the flexible wallboard in a wide temperature range, and compensating in the wide temperature range by using a temperature compensation sensor; performing linear interpolation by using strain measurement point data to obtain a strain distribution curve; deriving a force/moment distribution curve of the flexible wall plate by using the strain;
s300, establishing a model of the multi-point supporting dynamic constraint beam of the flexible wallboard, and solving the beam deformation in a segmented mode.
Optionally, the method for solving in the beam deformation in a segmented manner comprises the following steps:
s301, differentiating the relation between the curvature of the first section of curve and the bending moment to obtain the integral relation of the corner, the arc length and the bending moment;
s302, solving a constant term of an integral equation according to the known boundary condition of the first section of flexible wall plate, and further obtaining an elliptic integral expression of the flexible wall plate deformation curve.
S303, for the followingiThe boundary condition of the flexible wall board is the rotation angle and displacement of the tail end of the previous section; will be the firstiThe section is calculated by considering a cantilever beam rotating by a certain angle, the rotation angle is the rotation angle of the free end of the previous section, and the deformation of the flexible wallboard of the section is solved by utilizing S301 to S303; when all sections of flexible wall plates are deformed and solved, a complete deformation curve can be obtained, whereiniIs the number of segments of the flexible wall panel.
The invention has the following advantages:
the invention provides a device and a method for measuring the profile of a wide-temperature-range wind tunnel multi-pivot flexible wall spray pipe, which are suitable for a wide temperature range, and do not need to directly measure the deformation and displacement of the profile of a flexible wall plate in the wind tunnel during implementation, so that the influence of high temperature or low temperature on a measuring instrument is avoided, the deformation result of the whole profile can be obtained by only carrying out data processing on a strain value after temperature correction, the difficulty of deformation measurement of the flexible wall plate in a wide-temperature-range environment is greatly reduced, and a powerful support is provided for accurate control of the profile.
Drawings
FIG. 1 is a schematic structural view of a wide temperature range wind tunnel multi-pivot flexible wall jet pipe profile measuring device according to the invention;
FIG. 2 is a schematic diagram of the profile measuring device for the wide-temperature-range wind tunnel multi-pivot flexible-wall spray pipe provided by the invention, which is arranged on the wide-temperature-range wind tunnel multi-pivot flexible-wall spray pipe;
FIG. 3 is a schematic flow chart of a method for measuring the profile of a wide-temperature-range wind tunnel multi-pivot flexible-wall spray pipe according to the invention:
in the figure: 1. a flexible wall panel; 2. a strain sensor; 3. a data demodulation and analysis system; 4. a temperature compensation sensor; 5. and a temperature compensation block.
Detailed Description
Embodiments of the present application are described in detail below, examples of which are illustrated in the accompanying drawings, wherein the same or similar reference numerals refer to the same or similar elements or elements having the same or similar functions throughout. The embodiments described below by referring to the drawings are exemplary and intended for the purpose of explaining the present application and are not to be construed as limiting the present application.
In this document, relational terms such as first and second, and the like may be used solely to distinguish one entity or action from another entity or action without necessarily requiring or implying any actual such relationship or order between such entities or actions. Moreover, the terms "comprises," "comprising," or any other variation thereof, are intended to cover a non-exclusive inclusion, such that a process, method, article, or apparatus that comprises a list of elements does not include only those elements but may include other elements not expressly listed or inherent to such process, method, article, or apparatus.
As described in the background art, the wide temperature range wind tunnel is a special test device for the number test of the aircraft Gao Leinuo, and the profile accuracy of the wind tunnel is critical to the flow field index. In a normal-temperature wind tunnel, the measurement of the spray pipe profile is often realized by an operator holding a laser scanner or a laser tracker. However, the lowest working temperature of the wide temperature range wind tunnel can be lower than-163 ℃, operators are difficult to enter the wind tunnel under the wide temperature range, and common measuring equipment cannot work under the wide temperature range, so that profile measurement under the wide temperature range cannot be realized by the conventional equipment.
For the above reasons, therefore, as shown in fig. 1 and 2, the present invention provides a wide temperature range wind tunnel multi-pivot flexible wall nozzle profile measuring device, which includes a strain sensor 2, a temperature compensation block 5, a temperature compensation sensor 4 and a data demodulation and analysis system 3;
the strain sensor and the temperature compensation block are respectively fixed on the back airflow surface of the flexible wall plate 1 of the wide-temperature-range wind tunnel multi-pivot flexible wall spray pipe;
the temperature compensation sensor 4 is fixed on the temperature compensation block 5;
the strain sensor 2, the temperature compensation block 5 and the temperature compensation sensor 4 are connected with the data demodulation and analysis system 3.
In another embodiment, as shown in fig. 2 and 3, a method for measuring the profile of a multi-pivot flexible wall jet pipe of a wide temperature range wind tunnel includes the following steps:
s100, at least one (preferably 2, two positions of 20% and 80% of the distance between two supporting points on the flexible plate are respectively provided with strain sensors) wide-temperature-range wind tunnel multi-pivot flexible wall spray pipe molded surface measuring device is arranged between adjacent supporting plates of the flexible wall plate;
s200, detecting the strain of the flexible wallboard in a wide temperature range, and compensating in the wide temperature range by using a temperature compensation sensor; performing linear interpolation by using strain measurement point data to obtain a strain distribution curve; deriving a force/moment distribution curve of the flexible wall plate by using the strain;
s300, establishing a model of the multi-point supporting dynamic constraint beam of the flexible wallboard, and solving the beam deformation in a segmented mode.
Optionally, the method for solving in the beam deformation in a segmented manner comprises the following steps:
s301, differentiating the relation between the curvature of the first section of curve and the bending moment to obtain the integral relation of the corner, the arc length and the bending moment;
s302, solving a constant term of an integral equation according to the known boundary condition of the first section of flexible wall plate, and further obtaining an elliptic integral expression of the flexible wall plate deformation curve.
S303, for the followingiThe boundary condition of the flexible wall board is the rotation angle and displacement of the tail end of the previous section; will be the firstiThe segments are calculated considering cantilever beams rotated by an angle of rotation ofThe corner of the free end of the previous section is utilized to solve the deformation of the flexible wallboard by utilizing S301 to S303; when all sections of flexible wall plates are deformed and solved, a complete deformation curve can be obtained, whereiniIs the number of segments of the flexible wall panel.
In one embodiment, the specific method of step S200 is as follows:
according to the geometric equation of the euler beam bending, the following relationship exists between the structural strain and the curvature,
,
according to the plane assumption and Hooke's law, when the beam is subjected to plane bending, the relation between the curve curvature and the bending moment is as follows:
,
from the formulaAnd->The following relation between bending moment and strain can be obtained:
,
wherein the method comprises the steps ofM(x)Is subjected to bending moment by the beam structure infinitesimal,Iis the moment of inertia of the cross section,hfor the thickness of the flexible wall panel,Ein order to be the modulus of elasticity of the material,for strain->Is a curvature.
In one embodiment, the specific method in step S301 is as follows:
for the firstiThe strain coefficient of the section soft board is as follows:
,
wherein the method comprises the steps ofST 2i Is positioned at the firstiStrain value of the 2 nd strain sensor on the segment flexible wall plate,ST 2i-1 is the firstiStrain value of the 1 st strain sensor on the segment flexible wall plate,x 2i is the firstiThe X-axis coordinate corresponding to the 2 nd strain sensor on the segment flexible wall plate,x 2i-1 is the firstiX-axis coordinates corresponding to the 1 st strain sensor on the section flexible wallboard;k i is the firstiThe strain coefficient of the segment flexible wall panel;
from the following componentsIt can be seen thatiFlexible wall board with arbitrary sectionxThe bending moment of the position is as follows:
,
wherein,is the firstiFlexible wall board with arbitrary sectionxBending moment of the position;
for formula (VI)Differentiation is carried out to obtain:
,
,
wherein,θis a chamfer along the axial direction;
re-pairingIs multiplied by both ends of (a)dθThe product can be obtained by the method,
,
and then the integrated product is obtained,
,
wherein the method comprises the steps ofC i Is the firstiIntegral constant of the segment flexible wall panel.
In one embodiment, the specific method of step S302 is as follows:
for the first length of flexible wall board,s=l 1 the time boundary conditions are:
,
wherein,sfor the arc length in the axial direction,ST 2 for the strain value of the 2 nd strain sensor,l 1 the length of the first flexible plate,first section flexible wall boardxThe bending moment of the position is calculated,k 1 the strain coefficient of the first section of soft board;
the integral constant of the first section of flexible wallboard can be solved:
,
for a pair ofThe integration is performed and the integration is performed,θfrom 0 to 0θ 1 ;sFrom 0 to 0l 1 The product is obtained by the method,
,
order theAs a load factor of the first section of flexible wall panel, < >>For the rigidity coefficient of the first section flexible wall board, formula +.>The elliptic integral form of (a) is:
,
wherein:amplitude of 1 for the beam-end ellipse integral, +.>The magnitude of 2 is integrated for the ellipse at the beam end,tin the form of a modulus,ffor the difference between the two first type of incomplete elliptic integrals at the beam end, +.>For the convenience of the expression of the formula, let +.>In equation->In (a)F(·)For the first type of incomplete elliptic integration,
,
,
;
solving forCan obtain the end corner of the first section of flexible wall boardθ 1 For any point of the flexible wall board, the rotation angle isθ∈[0,θ 1 ]Corresponding coordinatesxAndythe method comprises the following steps:
,
,
wherein the method comprises the steps ofIs the upper cutting angle of the beamθThe beam upper cutting angle is corresponding to the amplitude value of the elliptic integral 1θOther variables of the elliptic integral corresponding to the position are as follows:
is the upper cutting angle of the beamθWhere the difference between the first type of incomplete elliptic integral,is the upper cutting angle of the beamθWhere the difference between the two second type of incomplete elliptic integrals,in equation->In (a)E(·)And is a second type of incomplete elliptic integral.
For the following firstiThe section is calculated by considering the cantilever beam rotated by a certain angle, and the rotation angle is the rotation angle of the free end of the previous section.
According to the invention, the deformation and displacement of the molded surface of the flexible wall plate do not need to be directly measured, the influence of high temperature or low temperature on a measuring instrument is avoided, the deformation result of the whole molded surface can be obtained only by processing data of the strain value after temperature correction, the difficulty of deformation measurement of the flexible wall plate in a wide temperature area environment is greatly reduced, and a powerful support is provided for accurate control of the molded surface.
The previous description of the disclosed embodiments is provided to enable any person skilled in the art to make or use the present invention. Various modifications to these embodiments will be readily apparent to those skilled in the art, and the generic principles defined herein may be applied to other embodiments without departing from the spirit or scope of the invention. Thus, the present invention is not intended to be limited to the embodiments shown herein but is to be accorded the widest scope consistent with the principles and novel features disclosed herein.
Claims (6)
1. The utility model provides a wide temperature range wind tunnel multi-pivot flexible wall spray tube profile measuring device which characterized in that: the system comprises a strain sensor, a temperature compensation block, a temperature compensation sensor and a data demodulation and analysis system;
the strain sensor and the temperature compensation block are respectively fixed on the back airflow surface of the flexible wall plate of the wide-temperature-range wind tunnel multi-pivot flexible wall spray pipe;
the temperature compensation sensor is fixed on the temperature compensation block;
the strain sensor, the temperature compensation block and the temperature compensation sensor are connected with the data demodulation and analysis system.
2. The method for measuring the molded surface of the wide-temperature-range wind tunnel multi-pivot flexible-wall spray pipe is characterized by comprising the following steps of:
s100, at least one wide-temperature-range wind tunnel multi-pivot flexible-wall spray pipe profile measuring device as claimed in claim 1 is arranged between adjacent support plates of a flexible wall plate;
s200, detecting the strain of the flexible wallboard in a wide temperature range, and compensating in the wide temperature range by using a temperature compensation sensor; performing linear interpolation by using strain measurement point data to obtain a strain distribution curve; deriving a force/moment distribution curve of the flexible wall plate by using the strain;
s300, establishing a model of the multi-point supporting dynamic constraint beam of the flexible wallboard, and solving the beam deformation in a segmented mode.
3. The method for measuring the profile of the multi-pivot flexible wall jet pipe of the wide temperature range wind tunnel according to claim 2, wherein the method for solving the beam deformation in a segmented manner comprises the following steps:
s301, differentiating the relation between the curvature of the first section of curve and the bending moment to obtain the integral relation of the corner, the arc length and the bending moment;
s302, solving a constant term of an integral equation according to the known boundary condition of the first section of flexible wall plate, and further obtaining an elliptic integral expression of a flexible wall plate deformation curve;
s303, for the followingiThe boundary condition of the flexible wall board is the rotation angle and displacement of the tail end of the previous section; will be the firstiThe section is calculated by considering a cantilever beam rotating by a certain angle, the rotation angle is the rotation angle of the free end of the previous section, and the deformation of the flexible wallboard of the section is solved by utilizing S301 to S303; when all sections of flexible wall plates are deformed and solved, a complete deformation curve can be obtained, whereiniIs the number of segments of the flexible wall panel.
4. The method for measuring the profile of the wide-temperature-range wind tunnel multi-pivot flexible-wall spray pipe according to claim 2, wherein the specific method in the step S200 is as follows:
according to the geometric equation of euler beam bending, the following relationship exists between structural strain and curvature:
,
according to the plane assumption and Hooke's law, when the beam is subjected to plane bending, the relation between the curve curvature and the bending moment is as follows:
,
from the formulaAnd->The following relation between bending moment and strain can be obtained:
,
wherein the method comprises the steps ofM(x)Is subjected to bending moment by the beam structure infinitesimal,Iis the moment of inertia of the cross section,hfor the thickness of the flexible wall panel,Ein order to be the modulus of elasticity of the material,for strain->Is a curvature.
5. A method for measuring the profile of a wide-temperature-range wind tunnel multi-pivot flexible-wall nozzle according to claim 3, wherein the specific method in step S301 is as follows:
for the firstiThe strain coefficient of the section soft board is as follows:
,
wherein the method comprises the steps ofST 2i Is positioned at the firstiStrain value of the 2 nd strain sensor on the segment flexible wall plate,ST 2i-1 is the firstiStrain value of the 1 st strain sensor on the segment flexible wall plate,x 2i is the firstiThe X-axis coordinate corresponding to the 2 nd strain sensor on the segment flexible wall plate,x 2i-1 is the firstiX-axis coordinates corresponding to the 1 st strain sensor on the section flexible wallboard;k i is the firstiThe strain coefficient of the segment flexible wall panel;
from the following componentsIt can be seen thatiFlexible wall board with arbitrary sectionxThe bending moment of the position is as follows:
,
wherein,Iis the moment of inertia of the cross section,hfor the thickness of the flexible wall panel,Ein order to be the modulus of elasticity of the material,is the firstiFlexible wall board with arbitrary sectionxBending moment of the position;
for formula (VI)Differentiation is carried out to obtain:
,
,
wherein,θis a chamfer along the axial direction;
re-pairingIs multiplied by both ends of (a)dθThe product can be obtained by the method,
,
and then the integrated product is obtained,
,
wherein the method comprises the steps ofC i Is the firstiIntegral constant of the segment flexible wall panel.
6. The method for measuring the profile of the wide-temperature-range wind tunnel multi-pivot flexible-wall nozzle according to claim 5, wherein the specific method in the step S302 is as follows:
for the first length of flexible wall board,s=l 1 the time boundary conditions are:
,
wherein,sfor the arc length in the axial direction,ST 2 for the strain value of the 2 nd strain sensor,l 1 the length of the first flexible plate,first section flexible wall boardxThe bending moment of the position is calculated,k 1 the strain coefficient of the first section of soft board;
the integral constant of the first section of flexible wallboard can be solved:
,
for a pair ofThe integration is performed and the integration is performed,θfrom 0 to 0θ 1 The method comprises the steps of carrying out a first treatment on the surface of the s is 0 tol 1 The product is obtained by the method,
,
order theAs a load factor of the first section of flexible wall panel, < >>For the rigidity coefficient of the first section flexible wall board, formula +.>The elliptic integral form of (a) is:
,
wherein:amplitude of 1 for the beam-end ellipse integral, +.>The magnitude of 2 is integrated for the ellipse at the beam end,tin the form of a modulus,ffor the difference between the two first type of incomplete elliptic integrals at the beam end, +.>Let->In the followingIn (a) and (b)F(·)For the first type of incomplete elliptic integration,
,
,
;
solving forCan obtain the end corner of the first section of flexible wall boardθ 1 For any point of the flexible wall board, the rotation angle isθ∈[0,θ 1 ]Corresponding coordinatesxAndythe method comprises the following steps:
,
,
wherein the method comprises the steps ofIs the upper cutting angle of the beamθThe beam upper cutting angle is corresponding to the amplitude value of the elliptic integral 1θOther variables of the elliptic integral corresponding to the position are as follows:
is the upper cutting angle of the beamθWhere the difference between the first type of incomplete elliptic integral,is the upper cutting angle of the beamθWhere the difference between the two second type of incomplete elliptic integrals,in equation->In (a)E(·)And is a second type of incomplete elliptic integral.
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