CN111914345A - Airplane residual thrust equivalent test flight model based on parameter identification - Google Patents
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Abstract
The invention discloses an airplane residual thrust equivalent test flight model based on parameter identification, wherein an airplane does not sideslip and has climbing and gliding motions with slopes, and if a track inclination angle gamma during climbing motion is negative and a track inclination angle gamma during gliding motion is positive, corresponding longitudinal overload n is carried outxNegative and positive respectively, said track pitch angle gamma and longitudinal passing band nxThe symbols are the same, and the residual thrust equivalent test flight model of the airplane is nZ 2‑1=qCnxWherein n isZNormal overload, nx longitudinal overload, q dynamic pressure and C parameters of the equivalent test flight model. According to the invention, the performance index to be tested can be directly obtained through the model, and the performance index does not need to be obtained through the on-site test flight of the airplane.
Description
Technical Field
The invention belongs to the technical field of airplane test flight models, and particularly relates to an airplane residual thrust equivalent test flight model based on parameter identification.
Background
The flight test is a process of scientific research and product test under real flight conditions, is the last of four essential links for birth of a new generation of aircraft, occupies an important component in the whole development period, and has the characteristics of extremely complex test flight content, large and repeated test flight risk, huge test flight consumption and the like.
Conventionally, the arrangement of the test flight task is performed item by item according to the test flight subject and the test flight content, and the problems of long test flight period, high test flight cost, low test flight efficiency and the like exist. Based on the method, the equivalent test flight model based on parameter identification is provided for the problem of residual thrust of aircraft performance test flight. On the basis of related test flight data, partial performance test flight subjects and test flight contents are replaced by the prediction result of the equivalent model, so that the test flight efficiency is improved, the test flight period is shortened, and the test flight cost is saved. The model can be used for equivalent test flight of test flight subjects with climbing, flat flight acceleration and deceleration, hovering and the like.
Disclosure of Invention
The invention aims to provide an airplane residual thrust equivalent test flight model based on parameter identification, and aims to improve test flight efficiency, shorten test flight period and save test flight cost.
The invention is mainly realized by the following technical scheme: the model is characterized in that the airplane does not sideslip and has climbing and gliding movement with slopes, if track inclination angle gamma during climbing movement is negative and track inclination angle gamma during gliding movement is positive, corresponding longitudinal overload n is carried outxNegative and positive respectively, said track pitch angle gamma and longitudinal passing band nxThe symbols are the same, and the airplane residual thrust equivalent test flight model is as follows:
nZ 2-1=qCnx
wherein n isZNormal overload, nx longitudinal overload, q dynamic pressure and C parameters of the equivalent test flight model.
In order to better implement the method, further, the method for deriving the airplane residual thrust equivalent test flight model under the condition of keeping the speed and the climbing angle without considering the airplane sideslip movement comprises the following steps:
1) in the track coordinate system, the dynamic equation of the mass center of the airplane motion is as follows:
wherein m is the aircraft mass, V is the true speed, P is the available thrust, L is the lift, D is the drag, Z is the sideslip force, α is the angle of attack, β is the sideslip angle, γ is the roll angle, θ is the track inclination, ψ is the track yaw angle,is an engine mounting angle, and g is gravity acceleration;
2) on the basis of 1), the kinetic equation of the airplane with the slope climbing motion under the condition of keeping the speed and the climbing angle without considering the airplane sideslip motion is as follows:
4) Based on 3), the dynamic equation of the belt gradient climbing in 2) is as follows:
5) the lift L of the aircraft is calculated as follows:
L=qSCL
wherein q is dynamic pressure, S is wing reference area, CLIs the coefficient of lift;
6) the aircraft drag D is calculated as follows:
D=qSCD
wherein, CDIs a coefficient of resistance;
7) the drag coefficient is related to the lift coefficient as follows:
CD=CD0+ACL 2
wherein, CD0Is a zero-lift drag coefficient, A is a lift-induced drag factor;
8) substituting 7) into 6) yields:
D=qSCD0+qSACL 2
9) substituting 5) and 8) into 4) yields:
10) neglecting the gradient gamma and the track inclination angle theta, enabling gamma to be approximately equal to 0, and enabling theta to be approximately equal to 0 to be substituted into 9) to obtain:
11) substituting 10) into 9) yields:
13) the normal overload is:
14) the longitudinal overload is:
15) combining 13) and 4) to obtain:
16) combining 14) and 4) yields:
nx=sinθ
17) combination of 12) and 15), 16) yields:
1-nz 2=qCnx
wherein n isZNormal overload, nx longitudinal overload, q dynamic pressure and C parameters of the equivalent test flight model.
In order to better implement the method, further, the method for deriving the airplane residual thrust equivalent test flight model under the condition of keeping the speed and the glide angle without considering the airplane sideslip motion comprises the following steps:
1. in the track coordinate system, the dynamic equation of the mass center of the airplane motion is as follows:
wherein m is the aircraft mass, V is the true speed, P is the available thrust, L is the lift, D is the drag, Z is the sideslip force, α is the angle of attack, β is the sideslip angle, γ is the roll angle, θ is the track inclination, ψ is the track yaw angle,is an engine mounting angle, and g is gravity acceleration;
2. on the basis of the dynamic equation of the mass center of the airplane motion, the dynamic equation of the airplane with slope gliding motion is as follows:
3. neglecting engine mount angleAnd angle of attack α, thenThe kinetic equation for the motion of the airplane with the slope glide is as follows:
4. the lift L of the aircraft is calculated as follows:
L=qSCL
wherein q is dynamic pressure, S is wing reference area, CLIs the coefficient of lift;
5. the aircraft drag D is calculated as follows:
D=qSCD
wherein, CDIs a coefficient of resistance;
6. the drag coefficient is related to the lift coefficient as follows:
CD=CD0+ACL 2
wherein, CD0Is a zero-lift drag coefficient, A is a lift-induced drag factor;
7. substituting 7) into 6) yields:
D=qSCD0+qSACL 2
8. substituting 5) and 8) into 4) yields:
9. neglecting the gradient gamma and the track inclination angle theta, enabling gamma to be approximately equal to 0, and enabling theta to be approximately equal to 0 to be substituted into 9) to obtain:
10. substituting 10) into 9) yields:
12. the normal overload is:
13. the longitudinal overload is:
14. combining 13) and 4) to obtain:
15. combining 14) and 4) yields:
nx=sinθ
16. combination of 12) and 15), 16) yields:
nz 2-1=qCnx
wherein n isZNormal overload, nx longitudinal overload, q dynamic pressure and C parameters of the equivalent test flight model.
The dynamic pressure q in the airplane residual thrust equivalent test flight model is a known quantity, and the method comprises the step of substituting tested test data into the model in advance to reform C for strain, so that the airplane residual thrust equivalent test flight model is established.
In the using process of the invention, the normal overload n is obtained according to the spiralzThen obtaining the longitudinal overload n through the airplane residual thrust equivalent test flight modelx. Therefore, performance indexes of the longitudinal movement of the airplane, such as performance indexes of climbing and flat flight acceleration, can be obtained through further analysis, and the performance indexes do not need to be obtained through the trial flight of the airplane in the field. The test cost is saved, the test accuracy is improved, and the practicability is better.
On the other hand, the longitudinal overload n can be obtained by first accelerating the plane flightxAnd then obtaining the normal overload n through the equivalent test flight model of the residual thrust of the airplanez. Therefore, the performance index of the airplane hovering can be further analyzed and obtained without obtaining the performance index through the airplane test flight in the field. The test cost is saved, the test accuracy is improved, and the practicability is better.
The invention has the beneficial effects that:
according to the invention, the performance index to be tested can be directly obtained through the model, and the performance index does not need to be obtained through the on-site test flight of the airplane.
Detailed Description
Example 1:
the invention aims to construct an airplane residual thrust equivalent test flight model based on parameter identification, and aims to improve test flight efficiency, shorten test flight period and save test flight cost. In order to achieve the purpose, the invention adopts the technical scheme that:
1) in the track coordinate system, the dynamic equation of the mass center of the airplane motion is as follows:
wherein m airplane mass, V true speed, P available thrust, L lift force and D resistanceForce, Z sideslip force, alpha angle of attack, beta sideslip angle, gamma roll angle, theta track inclination, psi track yaw angle,the engine mount angle, g is the gravitational acceleration.
2) On the basis of 1), the kinetic equation of the airplane with the slope climbing motion under the condition of keeping the speed and the climbing angle without considering the airplane sideslip motion is as follows:
3) in contrast, the engine mount angleAnd the angle of attack alpha is generally small, considering it approximately as 0, then
4) Based on 3), the dynamic equation of the belt gradient climbing in 2) is as follows:
5) the lift L of the aircraft is calculated as follows:
L=qSCL
wherein q is dynamic pressure, S is wing reference area, CLIs the lift coefficient.
6) The aircraft drag D is calculated as follows:
D=qSCD
wherein q is dynamic pressure, S is wing reference area, CDIs the coefficient of resistance.
7) The drag coefficient is related to the lift coefficient as follows:
CD=CD0+ACL 2
wherein, CD0Is zero lift drag coefficientAnd A is a lift drag factor.
8) Substituting 7) into 6) to obtain
D=qSCD0+qSACL 2
9) Substituting 5) and 8) into 4) can obtain
10) Firstly, the gradient gamma and the track inclination angle theta are approximately processed, the gamma is approximately equal to 0, and the theta is approximately equal to 0 and is substituted into 9), and the method can be obtained
11) Substituting 10) into 9) to obtain
13) Normal overload
14) Longitudinal overload
15) Combining 13) and 4) to obtain
16) Combining 14) and 4) to obtain
nx=sinθ
17) Combining 12) and 15), 16) to obtain
1-nz 2=qCnx
18) Similarly, the airplane with the slope is downward under the condition of keeping the speed and the downward sliding angle without considering the sideslip movement of the airplane on the basis of 1)
The kinetic equation for the sliding motion is as follows:
19) same as 3), the process in 18) is rewritten into
20) From the above 5) to 17), similarly, it is possible to obtain
nz 2-1=qCnx
21) Comprehensively analyzing the non-sideslip inclined climbing and gliding motion of the airplane, and if the track inclination angle gamma during the climbing motion is negative and the track inclination angle gamma during the gliding motion is positive, the corresponding longitudinal overload nxNegative and positive, respectively, i.e. track pitch gamma and longitudinal carry strip nxThe symbols are the same.
22) In conclusion, the airplane residual thrust equivalent test flight model
nz 2-1=qCnx
23) And obtaining a prediction model of the equivalent residual thrust test flight through the parameter C of the equivalent test flight model in the test flight data identification 23).
In the using process of the invention, the normal overload n is obtained according to the spiralzThen obtaining the longitudinal overload n through the airplane residual thrust equivalent test flight modelx. Can be further analyzedPerformance indicators for longitudinal movement of the aircraft, such as climbing and flat flight acceleration, are obtained without the need to obtain the performance indicators by trial flight of the aircraft in the field. The test cost is saved, the test accuracy is improved, and the practicability is better.
On the other hand, the longitudinal overload n can be obtained by first accelerating the plane flightxAnd then obtaining the normal overload n through the equivalent test flight model of the residual thrust of the airplanez. Therefore, the performance index of the airplane hovering can be further analyzed and obtained without obtaining the performance index through the airplane test flight in the field. The test cost is saved, the test accuracy is improved, and the practicability is better.
The method improves the test flight efficiency, shortens the test flight period and saves the test flight cost through the equivalent test flight model of the residual thrust of the airplane. The performance index to be tested can be directly obtained through the model, and the performance index does not need to be obtained through the on-site trial flight of the airplane, so that the testing cost is saved, the testing accuracy is improved, and the method has better practicability.
The above description is only a preferred embodiment of the present invention, and is not intended to limit the present invention in any way, and all simple modifications and equivalent variations of the above embodiments according to the technical spirit of the present invention are included in the scope of the present invention.
Claims (3)
1. The model is characterized in that the plane does not sideslip and has climbing and gliding movement with slopes, if the track inclination angle gamma during climbing movement is negative and the track inclination angle gamma during gliding movement is positive, the corresponding longitudinal overload n is carried outxNegative and positive respectively, said track pitch angle gamma and longitudinal passing band nxThe symbols are the same, and the airplane residual thrust equivalent test flight model is as follows:
nZ 2-1=qCnx
wherein n isZNormal overload, nx longitudinal overload, q dynamic pressure and C parameters of the equivalent test flight model.
2. The parameter identification-based airplane residual thrust equivalent test flight model according to claim 1, wherein the derivation steps of the airplane residual thrust equivalent test flight model are as follows, regardless of the sideslip movement, the keeping speed and the climbing angle of the airplane:
(1) in the track coordinate system, the dynamic equation of the mass center of the airplane motion is as follows:
wherein m is the aircraft mass, V is the true speed, P is the available thrust, L is the lift, D is the drag, Z is the sideslip force, α is the angle of attack, β is the sideslip angle, γ is the roll angle, θ is the track inclination, ψ is the track yaw angle,is an engine mounting angle, and g is gravity acceleration;
(2) on the basis of 1), the kinetic equation of the airplane with the slope climbing motion under the condition of keeping the speed and the climbing angle without considering the airplane sideslip motion is as follows:
(4) Based on 3), the dynamic equation of the belt gradient climbing in 2) is as follows:
(5) the lift L of the aircraft is calculated as follows:
L=qSCL
wherein q is dynamic pressure, S is wing reference area, CLIs the coefficient of lift;
(6) the aircraft drag D is calculated as follows:
D=qSCD
wherein, CDIs a coefficient of resistance;
(7) the drag coefficient is related to the lift coefficient as follows:
CD=CD0+ACL 2
wherein, CD0Is a zero-lift drag coefficient, A is a lift-induced drag factor;
(8) substituting 7) into 6) yields:
D=qSCD0+qSACL 2
(9) substituting 5) and 8) into 4) yields:
(10) neglecting the gradient gamma and the track inclination angle theta, enabling gamma to be approximately equal to 0, and enabling theta to be approximately equal to 0 to be substituted into 9) to obtain:
(11) substituting 10) into 9) yields:
(13) the normal overload is:
(14) the longitudinal overload is:
(15) combining 13) and 4) to obtain:
(16) combining 14) and 4) yields:
nx=sinθ
(17) combination of 12) and 15), 16) yields:
1-nz 2=qCnx
wherein n isZNormal overload, nx longitudinal overload, q dynamic pressure and C parameters of the equivalent test flight model.
3. The parameter identification-based airplane residual thrust equivalent test flight model according to claim 1, wherein the airplane residual thrust equivalent test flight model is derived by the following steps without considering airplane sideslip movement and keeping speed and glide angle:
(1) in the track coordinate system, the dynamic equation of the mass center of the airplane motion is as follows:
wherein m is the aircraft mass, V is the true speed, P is the available thrust, L is the lift, and D is the dragZ is sideslip force, alpha is an attack angle, beta is a sideslip angle, gamma is a roll angle, theta is a track inclination angle, psi is a track deflection angle,is an engine mounting angle, and g is gravity acceleration;
(2) on the basis of the dynamic equation of the mass center of the airplane motion, the dynamic equation of the airplane with slope gliding motion is as follows:
(3) neglecting engine mount angleAnd angle of attack α, thenThe kinetic equation for the motion of the airplane with the slope glide is as follows:
(4) the lift L of the aircraft is calculated as follows:
L=qSCL
wherein q is dynamic pressure, S is wing reference area, CLIs the coefficient of lift;
(5) the aircraft drag D is calculated as follows:
D=qSCD
wherein, CDIs a coefficient of resistance;
(6) the drag coefficient is related to the lift coefficient as follows:
CD=CD0+ACL 2
wherein, CD0Is a zero-lift drag coefficient, A is a lift-induced drag factor;
(7) substituting 7) into 6) yields:
D=qSCDO+qSACL 2
(8) substituting 5) and 8) into 4) yields:
(9) neglecting the gradient gamma and the track inclination angle theta, enabling gamma to be approximately equal to 0, and enabling theta to be approximately equal to 0 to be substituted into 9) to obtain:
(10) substituting 10) into 9) yields:
(12) the normal overload is:
(13) the longitudinal overload is:
(14) combining 13) and 4) to obtain:
(15) combining 14) and 4) yields:
nx=sinθ
(16) combination of 12) and 15), 16) yields:
nz 2-1=qCnx
wherein n isZNormal overload, nx longitudinal overload, q dynamic pressure and C parameters of the equivalent test flight model.
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CN114896680A (en) * | 2022-03-18 | 2022-08-12 | 成都飞机工业(集团)有限责任公司 | Stable hovering overload correction method based on climbing test flight data |
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CN114896680B (en) * | 2022-03-18 | 2024-06-07 | 成都飞机工业(集团)有限责任公司 | Stable spiral overload correction method based on climbing flight test data |
CN114896681B (en) * | 2022-03-18 | 2024-06-11 | 成都飞机工业(集团)有限责任公司 | Climbing performance correction method based on coupling spiral climbing flight test data |
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