| Citation: | REN Haoyuan, WANG Yi, WANG Liang, et al. Mechanical model of locking mechanisms of folding wing for spacecraft[J]. Journal of Aerospace Power, 2023, 38（12）：3009-3019 doi: 10.13224/j.cnki.jasp.20220032
|
To model the plug-in locking mechanism, the plane strain assumption and superposition principles were used for dimensionality reduction and simplification, and an analytical model of connection stiffness considering the effect of gap was established. Firstly, the energy method was used to solve the indeterminate problem caused by contact friction, and the normal and tangential contact forces were obtained. Then, the equivalent contact stiffness was calculated by using Hertz’s theory, and the bending deformation of elastic pins was calculated through beam model. To validate the applicability of the method, the analytical results were compared with the experimental results from the reference paper. Finally, the parameter influence analysis was carried out, and the effect of load and clearance on connection stiffness was proposed. The results showed that when the load changed from 20 N·m to 50 N·m, the connection stiffness of the locking mechanism increased by about 3%—5%, demonstrating a hardening spring nonlinear effect. With the increase of the clearance, the connection stiffness showed a downward trend, owing to the fact that the fit size affected the relative attitude of the elastic pin and the hole.
| [1] |
YARYGINA M V,POPOV Y I. Development of the weight formula for a folding wing[J]. Russian Aeronautics,2012,55(2): 120-126. doi: 10.3103/S106879981202002X
|
| [2] |
DI CAPRIO F,SCIGLIANO R,FAUCI R,et al. Design optimization of interfacing attachments for the deployable wing of an unmanned re-entry vehicle[J]. Algorithms,2021,14(5): 141. doi: 10.3390/a14050141
|
| [3] |
宋慧心,金磊. 折叠翼飞行器的动力学建模与稳定控制[J]. 力学学报,2020,52(6): 1548-1559. doi: 10.6052/0459-1879-20-115
SONG Huixin,JIN Lei. Dynamic modeling and stability control of folding wing aircraft[J]. Chinese Journal of Theoretical and Applied Mechanics,2020,52(6): 1548-1559. (in Chinese) doi: 10.6052/0459-1879-20-115
|
| [4] |
SOFLA A Y N,MEGUID S A,TAN K T,et al. Shape morphing of aircraft wing: status and challenges[J]. Materials & Design,2010,31(3): 1284-1292.
|
| [5] |
张立启,岳承宇,赵永辉. 变后掠翼的参变气动弹性建模与分析[J]. 力学学报,2021,53(11): 3134-3146. doi: 10.6052/0459-1879-21-275
ZHANG Liqi,YUE Chengyu,ZHAO Yonghui. Parameter-varying aeroelastic modeling and analysis for a variable-sweep wing[J]. Chinese Journal of Theoretical and Applied Mechanics,2021,53(11): 3134-3146. (in Chinese) doi: 10.6052/0459-1879-21-275
|
| [6] |
刘芳,丁千. 含间隙折叠舵面的主共振响应分析[J]. 航空动力学报,2016,31(12): 2965-2971. doi: 10.13224/j.cnki.jasp.2016.12.019
LIU Fang,DING Qian. Primary resonance response analysis on folding rudder with gaps[J]. Journal of Aerospace Power,2016,31(12): 2965-2971. (in Chinese) doi: 10.13224/j.cnki.jasp.2016.12.019
|
| [7] |
YANG Ning,WANG Nan,ZHANG Xin,et al. Nonlinear flutter wind tunnel test and numerical analysis of folding fins with freeplay nonlinearities[J]. Chinese Journal of Aeronautics,2016,29(1): 144-159. doi: 10.1016/j.cja.2015.12.011
|
| [8] |
王强,马志赛,张欣,等. 基于模态综合法的含间隙折叠舵面动态特性分析[J]. 航空学报,2020,41(5): 223507.
WANG Qiang,MA Zhisai,ZHANG Xin,et al. Dynamic characteristic analysis for a folding fin with freeplay nonlinearities based on mode synthesis method[J]. Acta Aeronautica et Astronautica Sinica,2020,41(5): 223507. (in Chinese)
|
| [9] |
MENGA E, HERNANDEZ S, MOLEDO S, et al. Nonlinear dynamic analysis of assembled aircraft structures with concentrated nonlinearities[R]. Saint Petersburg, Russia: 16th International Forum on Aeroelasticity and Structural Dynamics, 2015.
|
| [10] |
赵广,王永泉,赵向阳,等. 盘鼓螺栓连接结构接触刚度建模与应用检验[J]. 航空动力学报,2022,37(1): 76-86. doi: 10.13224/j.cnki.jasp.20210065
ZHAO Guang,WANG Yongquan,ZHAO Xiangyang,et al. Modeling and application test of contact stiffness of bolt connection structure of disk and drum[J]. Journal of Aerospace Power,2022,37(1): 76-86. (in Chinese) doi: 10.13224/j.cnki.jasp.20210065
|
| [11] |
黄俊,宋保江,宫钇成,等. 锁销位置对折叠翼固有振动特性的影响分析[J]. 导弹与航天运载技术,2018(6): 14-18.
HUANG Jun,SONG Baojiang,GONG Yicheng,et al. Impacts of the pin position on inherent vibration characteristics of a folding wing[J]. Missiles and Space Vehicles,2018(6): 14-18. (in Chinese)
|
| [12] |
AHLQUIST J R, CARREÑO J M, CLIMENT H, et al. Assessment of nonlinear structural response in A400M GVT[C]//Structural Dynamics: Volume 3. New York, US: Springer, 2011: 1147-1155.
|
| [13] |
LAXALDE D,THOUVEREZ F. Complex non-linear modal analysis for mechanical systems: application to turbomachinery bladings with friction interfaces[J]. Journal of Sound and Vibration,2009,322(4/5): 1009-1025.
|
| [14] |
BOGRAD S,REUSS P,SCHMIDT A,et al. Modeling the dynamics of mechanical joints[J]. Mechanical Systems and Signal Processing,2011,25(8): 2801-2826. doi: 10.1016/j.ymssp.2011.01.010
|
| [15] |
MOUSAKHANI M,THOENI K,FITYUS S,et al. A novel and robust contact detection algorithm for arbitrarily shaped blocks[J]. Computers and Geotechnics,2021,140: 104430. doi: 10.1016/j.compgeo.2021.104430
|
| [16] |
MAYER M H,GAUL L. Segment-to-segment contact elements for modelling joint interfaces in finite element analysis[J]. Mechanical Systems and Signal Processing,2007,21(2): 724-734. doi: 10.1016/j.ymssp.2005.10.006
|
| [17] |
缪辉,臧朝平,罗欣洋,等. 基于薄层单元的拉杆转子接触界面动力学建模及修正[J]. 航空动力学报,2019,34(9): 1927-1935. doi: 10.13224/j.cnki.jasp.2019.09.009
MIAO Hui,ZANG Chaoping,LUO Xinyang,et al. Dynamic modeling and updating for contact interface of rod fastening rotor based on thin-layer element[J]. Journal of Aerospace Power,2019,34(9): 1927-1935. (in Chinese) doi: 10.13224/j.cnki.jasp.2019.09.009
|
| [18] |
LACAYO R M,ALLEN M S. Updating structural models containing nonlinear Iwan joints using quasi-static modal analysis[J]. Mechanical Systems and Signal Processing,2019,118: 133-157. doi: 10.1016/j.ymssp.2018.08.034
|
| [19] |
HU Wei,YANG Zhichun,GU Yingsong. Aeroelastic study for folding wing during the morphing process[J]. Journal of Sound and Vibration,2016,365: 216-229. doi: 10.1016/j.jsv.2015.11.043
|
| [20] |
CASTRICHINI A,HODIGERE SIDDARAMAIAH V,CALDERON D E,et al. Nonlinear folding wing tips for gust loads alleviation[J]. Journal of Aircraft,2016,53(5): 1391-1399. doi: 10.2514/1.C033474
|
| [21] |
ATTAR P J,TANG Deman,DOWELL E H. Nonlinear aeroelastic study for folding wing structures[J]. AIAA Journal,2010,48(10): 2187-2195. doi: 10.2514/1.44868
|
| [22] |
LEE B H K,TRON A. Effects of structural nonlinearities on flutter characteristics of the CF-18 aircraft[J]. Journal of Aircraft,1989,26(8): 781-786. doi: 10.2514/3.45839
|
| [23] |
王博,马志赛,丁千,等. 基础激励下含间隙折叠舵面非线性系统辨识[J]. 振动与冲击,2020,39(4): 122-128, 135. doi: 10.13465/j.cnki.jvs.2020.04.015
WANG Bo,MA Zhisai,DING Qian,et al. System identification of folding rudders with freeplay nonlinearity under base excitation[J]. Journal of Vibration and Shock,2020,39(4): 122-128, 135. (in Chinese) doi: 10.13465/j.cnki.jvs.2020.04.015
|
| [24] |
何昊南,于开平,唐宏,等. 有间隙折叠舵面的振动实验与非线性建模研究[J]. 力学学报,2019,51(5): 1476-1488. doi: 10.6052/0459-1879-19-119
HE Haonan,YU Kaiping,TANG Hong,et al. Vibration experiment and nonlinear modelling research on the folding fin with freeplay[J]. Chinese Journal of Theoretical and Applied Mechanics,2019,51(5): 1476-1488. (in Chinese) doi: 10.6052/0459-1879-19-119
|
| [25] |
HE Haonan,TANG Hong,YU Kaiping,et al. Nonlinear aeroelastic analysis of the folding fin with freeplay under thermal environment[J]. Chinese Journal of Aeronautics,2020,33(9): 2357-2371. doi: 10.1016/j.cja.2020.05.005
|
| [26] |
NOËL J P,KERSCHEN G. Nonlinear system identification in structural dynamics: 10 more years of progress[J]. Mechanical Systems and Signal Processing,2017,83: 2-35. doi: 10.1016/j.ymssp.2016.07.020
|
| [27] |
张静,郭宏伟,刘荣强,等. 铰链对含铰结构非线性动力学特性影响分析[J]. 航空学报,2014,35(5): 1433-1445.
ZHANG Jing,GUO Hongwei,LIU Rongqiang,et al. Influence analysis of joints on nonlinear dynamic characteristics of articulated structures[J]. Acta Aeronautica et Astronautica Sinica,2014,35(5): 1433-1445. (in Chinese)
|
| [28] |
GUO J,RANDALL R B,BORGHESANI P,et al. A study on the effects of piston secondary motion in conjunction with clearance joints[J]. Mechanism and Machine Theory,2020,149: 103824. doi: 10.1016/j.mechmachtheory.2020.103824
|
| [29] |
XIANG W,YAN Shaoze,WU Jianing. Dynamic analysis of planar mechanical systems considering stick-slip and Stribeck effect in revolute clearance joints[J]. Nonlinear Dynamics,2019,95(1): 321-341. doi: 10.1007/s11071-018-4566-6
|
| [30] |
PI Ting,ZHANG Yunqing. Simulation of planar mechanisms with revolute clearance joints using the multipatch based isogeometric analysis[J]. Computer Methods in Applied Mechanics and Engineering,2019,343: 453-489. doi: 10.1016/j.cma.2018.08.039
|
| [31] |
ZHUANG Fangfang,WANG Qi. Modeling and analysis of rigid multibody systems with driving constraints and frictional translation joints[J]. Acta Mechanica Sinica,2014,30(3): 437-446. doi: 10.1007/s10409-014-0021-1
|
| [32] |
ZHANG Jie,WANG Qi. Modeling and simulation of a frictional translational joint with a flexible slider and clearance[J]. Multibody System Dynamics,2016,38(4): 367-389. doi: 10.1007/s11044-015-9474-7
|
| [33] |
LIU Cheng,TIAN Qiang,HU Haiyan. Dynamics and control of a spatial rigid-flexible multibody system with multiple cylindrical clearance joints[J]. Mechanism and Machine Theory,2012,52: 106-129. doi: 10.1016/j.mechmachtheory.2012.01.016
|
| [34] |
CIRELLI M,VALENTINI P P,PENNESTRÌ E. A study of the non-linear dynamic response of spur gear using a multibody contact based model with flexible teeth[J]. Journal of Sound and Vibration,2019,445: 148-167. doi: 10.1016/j.jsv.2019.01.019
|
| [35] |
ROARK R J, YOUNG W C. Formulas for stress and strain[M]. New York, US: McGraw-Hill, 1975.
|
| [36] |
SINHA P R. A contact stress model for determining forces in an equilibrium grasp[D]. Philadelphia, US: University of Pennsylvania, 1989: 1-59.
|
| [37] |
UGRAY Z,LASDON L,PLUMMER J,et al. Scatter search and local NLP solvers: a multistart framework for global optimization[J]. INFORMS Journal on Computing,2007,19(3): 328-340. doi: 10.1287/ijoc.1060.0175
|
| [38] |
GILAT A. MATLAB: an introduction with applications[M]. 4th ed. Hoboken, NJ: John Wiley & Sons, 2011.
|
| [39] |
单辉祖. 材料力学: Ⅱ[M]. 3版. 北京: 高等教育出版社, 2010
|
| [40] |
SILVERMAN M P. Reaction forces on a fixed ladder in static equilibrium: analysis and definitive experimental test of the ladder problem[J]. World Journal of Mechanics,2018,8(9): 311-342. doi: 10.4236/wjm.2018.89024
|
DownLoad:
