基于热/力试验的折叠舵连接刚度与颤振分析

doi:10.7527/S1000-6893.2022.27927

Abstract

Abstract:

To adapt to the new launch platform and further improve the range capability， the scheme of folding wing or fin is used for high-speed aircraft. Severe conditions of high temperature and time-varying aerodynamic loads faced by high-speed aircraft make the structural dynamic characteristics of the folding fin more complex， and present serious challenges to accurate analysis of the aero-thermo-elastic properties of the folding fin. In this paper， a mechanical model of the folding mechanism is constructed based on a comprehensive consideration of the factors such as temperature， force load， mechanism clearance， and friction characteristics. The connection stiffness under the influence of different factors is obtained through nonlinear finite element analysis.The experiments at room temperature and high temperature are conducted for verification. The dismensionality of the structure is reduced for simplification based on natural modes. The aerodynamic model is by using the modified third-order piston theory. A quasi-steady model is used to evaluate the flutter characteristics of a specific flight profile. The Abaqus-based structural model and the STAR-CCM+ aerodynamic model are coupled to analyze the time-domain response. The results show that at room temperature and high temperature， the overall relative error of the rotational stiffness of the folding mechanism between the simulated results and the test results is less than 10%， showing a good consistency and verifying the accuracy and usability of the model. The critical flutter velocity calculated by coupling CFD and CSD is lower than that calculated by using the modified third-order piston theory. The method based on CFD and CSD is more conservative. The method proposed in this paper can effectively predict the flutter characteristics of the folding fin， and has important significance for the design of new high-speed aircraft.

Key words: folding fin, thermal-mechanical test, flutter, nonlinear analysis, connection stiffness

CLC Number:

V416.1

Haoyuan REN, Yi WANG, Liang WANG, Jianbo ZHOU, Hanjiang CHANG, Yipeng CAI, Bao LEI, Weiqun ZHANG. Connection stiffness and flutter analysis of folding fin based on thermal-mechanical test[J]. Acta Aeronautica et Astronautica Sinica, 2023, 44(14): 227927-227927.

Figures/Tables 31

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References 47

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温度/℃	热膨胀系数/（10^-6·K^-1）	弹性模量/GPa	泊松比
25	13.2	205	0.3
100	13.2	201	0.3
200	13.3	196	0.3
300	13.8	189	0.3
400	14.0	183	0.31
500	14.6	176	0.31
600	15.0	169	0.32
700	15.8	164	0.34

工况	载荷值/N	转轴区域		锁紧销区域
工况	载荷值/N	位移/mm	刚度/（10⁷N·m^-1）	位移/mm	刚度/（10⁷N·m^-1）
1	100		9.090 9		4.434 7
2	200	0.001 1	9.090 9	0.002 2	4.656 2
3	300	0.002 2	9.413 5	0.004 3	4.843 9
4	500	0.004 2	10.059 2	0.008 3	5.920 6
5	1 000	0.009 1	10.570 5	0.015	8.347 9
6	2 000	0.018	11.548 1	0.025 3	10.442 5
7	5 000	0.042 2	12.838 3	0.049 9	13.289 4
8	10 000	0.079 2	13.810 0	0.083 7	15.612 5
9	20 000	0.148 8	14.925 6	0.142 4	18.459 1

序号	载荷值 /N	转轴区域刚度k_axis/（10⁷N·m^-1）			锁紧销区域刚度k_pin/（10⁷N·m^-1）
序号	载荷值 /N	300 ℃	500 ℃	700 ℃	300 ℃	500 ℃	700 ℃
1	100	8.651 8	8.092 1	7.568 3	4.286 8	4.051 4	3.861 0
2	200	8.892 0	8.301 3	7.816 3	4.492 9	4.250 8	4.059 8
3	300	9.094 0	8.503 0	8.025 1	4.665 3	4.433 4	4.266 8
4	500	9.415 4	8.842 9	8.345 4	5.753 9	5.582 3	5.431 3
5	1 000	10.077 0	9.476 2	8.968 5	8.074 3	7.798 7	7.495 8
6	2 000	10.937 7	10.300 3	9.755 4	9.996 0	9.497 3	9.022 1
7	5 000	12.214 6	11.486 5	10.869 3	12.732 1	12.034 8	11.414 2
8	10 000	13.125 3	12.361 7	11.701 0	14.899 2	14.017 8	13.209 5
9	20 000	14.197 1	13.478 1	12.829 8	17.520 9	16.372 7	15.337 5

M_x /（N·m）	K_θ_T/（10⁴N·m·rad^-1）	K_θ_E1/（10⁴N·m·rad^-1）	R₁/%	K_θ_E2/（10⁴N·m·rad^-1）	R₂/%	K_θ_E3/（10⁴N·m·rad^-1）	R₃/%
145	3.258 0	4.449 3	36.6	4.283 5	31.5	5.452 3	67.4
290	3.634 1	4.074 6	12.1	4.059 6	11.7	4.594 6	26.4
435	3.846 4	3.942 8	2.5	3.904 0	1.5	3.920 2	1.9
580	3.892 7	4.109 9	5.6	3.840 6	-1.3	3.789 6	-2.6
725	3.898 0	4.087 2	4.9	3.856 8	-1.1	3.751 6	-3.8
870	3.903 3	4.024 4	3.1	3.919 7	0.4	3.456 9	-11.4
1 015	3.908 7	4.314 3	10.4	4.133 9	5.8	3.739 2	-4.3
1 160	3.908 7	4.686 4	19.9	4.445 3	13.7	3.853 2	-1.4
1 305	3.914 1	4.750 5	21.4	4.565 4	16.6	3.590 1	-8.3
1 450	3.919 4	4.700 8	19.9	4.488 6	14.5	3.847 6	-1.8
1 595	3.924 8	4.671 5	19.0	4.466 4	13.8	3.813 8	-2.8
1 740	3.935 6	4.529 4	15.1	4.563 2	15.9	3.409 9	-13.4

高度/km	密度/（kg·m^-3）	压力/Pa	温度/K	声速/（m·s^-1）
0	1.225 7	101 325	288.15	340.20
10	0.412 63	26 417	223.15	299.38

Connection stiffness and flutter analysis of folding fin based on thermal-mechanical test

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连接刚度	线性颤振速度/（m·s^-1）		相对改变量/%
连接刚度	常温舵面	400 ℃舵面	相对改变量/%
K_R	3 104.6	3 082.8	-0.70
K_H	3 377.4	3 343.4	-1.01

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