Citation: | MA Ruiqiang, WEI Jianzheng, TAN Huifenget al. Vibration modal analysis of inflatable self-supporting booms[J]. Journal of Beijing University of Aeronautics and Astronautics, 2018, 44(3): 526-534. doi: 10.13700/j.bh.1001-5965.2017.0207(in Chinese) |
The inflatable self-supporting boom, which is made of laminated aluminum film and local discrete self-supporting thin shell, has the ability to support the effective load at zero inner pressure. In order to improve the accuracy predicting the vibration characteristics of the inflatable self-supporting boom, the vibration differential equation of the self-supporting boom was first deduced based on the Timoshenko beam theory and Hamiltonian principle, and a new beam element model considering the prestress and configuration change for inflation pressure was proposed. Moreover, this beam element model also considers the discrete characteristics of the self-supporting shell in self-supporting boom, and the mass matrix established by this model is closer to true value. Then, this beam element model is verified by the vibration test results, and the verified results show that this model has better accuracy than the traditional beam element model. Finally, the influence of the inflatable pressure and the width of self-supporting shell on the vibration characteristics of the self-supporting booms is analyzed. This study would provide a theoretical reference for the design of the inflatable self-supporting boom.
[1] |
FELLINI R A, KROPP Y L.James Webb space telescope sunshield:Challenges in analysis of gossamer structures[J].Technology Review Journal, 2008, 16(1):17-44. https://www.researchgate.net/publication/228657832_James_Webb_Space_Telescope_Sunshield_Challenges_in_Analysis_of_Gossamer_Structures
|
[2] |
AAROHI V. Lightweight, high-performance solar cells for high power-to-weight and deployable solar arrays: AIAA-2016-5283[R]. Reston: AIAA, 2016. https://www.researchgate.net/publication/308007414_Lightweight_High-Performance_Solar_Cells_for_High_Power-to-Weight_and_Deployable_Solar_Arrays
|
[3] |
刘龙斌, 吕明云, 肖厚地, 等.基于压差梯度的平流层飞艇艇囊应力计算和仿真[J].北京航空航天大学学报, 2014, 40(10):1386-1391. http://bhxb.buaa.edu.cn/CN/abstract/abstract13049.shtml
LIU L B, LÜ M Y, XIAO H D, et al.Calculation and simulation of stratospheric airship capsule stress considering the pressure gradient[J].Journal of Beijing University of Aeronautics and Astronautics, 2014, 40(10):1386-1391(in Chinese). http://bhxb.buaa.edu.cn/CN/abstract/abstract13049.shtml
|
[4] |
卫剑征, 谭惠丰, 王伟志, 等.充气式再入减速器研究最新进展[J].宇航学报, 2013, 34(7):881-890. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=yhxb201307001
WEI J Z, TAN H F, WANG W Z, et al.New trends in inflatable re-entry aeroshell[J].Journal of Astronautics, 2013, 34(7):881-890(in Chinese). http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=yhxb201307001
|
[5] |
JOSHUA B, GRANT S, JUSTIN K, et al. An investigation of three-dimensional flow over an undulating inflatable wing: AIAA-2016-0593[R]. Reston: AIAA, 2016. doi: 10.2514/6.2016-0593
|
[6] |
TAN D, YANG Z.Deployment simulation and comparison of inflatable antenna beam with different folded configurations[J].International Journal of Applied Electromagnetics and Mecha-nics, 2010, 33(3):1513-1527. https://www.researchgate.net/publication/289591490_Deployment_simulation_and_comparison_of_inflatable_antenna_beam_with_different_folded_configurations
|
[7] |
曹旭, 王伟志, 张宏伟, 等.一种新型充气式重力梯度杆的研制和在轨展开试验[J].航天返回与遥感, 2014, 35(3):20-27. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=htfhyyg201403003
CAO X, WANG W Z, ZHANG H W, et al.Development and space experiment of a new inflatable gravity gradient boom[J].Spacecraft Recovery and Remote Sensing, 2014, 35(3):20-27(in Chinese). http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=htfhyyg201403003
|
[8] |
WEI J, TAN H, WANG W, et al.Deployable dynamic analysis and on-orbit experiment for inflatable gravity-gradient boom[J].Advances in Space Research, 2015, 55(2):639-646. doi: 10.1016/j.asr.2014.10.024
|
[9] |
COMER R L, LEVY S.Deflections of an inflated circular-cylindrical cantilever beam[J].AIAA Journal, 1963, 1(7):1652-1654. doi: 10.2514/3.1873
|
[10] |
MAIN A, PETERSON S W, STRAUSS A M.Load deflection behaviour of space-based inflatable beams[J].Journal of Aerospace Engineering, 1994, 7(2):225-238. doi: 10.1061/(ASCE)0893-1321(1994)7:2(225)
|
[11] |
LIU Y P, WANG C G, TAN H F.The interactive bending wrin-kling behaviour of inflated beams[J].Proceedings of the Royal Society A-Mathematical, Physical and Engineering Sciences, 2016, 472(2193):20160504. doi: 10.1098/rspa.2016.0504
|
[12] |
杜振勇. 充气梁弯皱特性研究[D]. 哈尔滨: 哈尔滨工业大学, 2012. http://www.wanfangdata.com.cn/details/detail.do?_type=degree&id=D241186
DU Z Y. Research on bending-wrinkling characteristics of inflated beams[D]. Harbin: Harbin Institute of Technology, 2012(in Chinese). http://www.wanfangdata.com.cn/details/detail.do?_type=degree&id=D241186
|
[13] |
THOMAS J, BLOCH A.Non linear behaviour of an inflatable beam and limit states[J].Procedia Engineering, 2016, 155:398-406. doi: 10.1016/j.proeng.2016.08.043
|
[14] |
ELSABBAGH A.Nonlinear finite element model for the analysis of axisymmetric inflatable beams[J].Thin-Walled Structures, 2015, 96:307-313. doi: 10.1016/j.tws.2015.08.021
|
[15] |
夏人伟.自适应结构综述[J].北京航空航天大学学报, 1999, 25(6):623-628. http://bhxb.buaa.edu.cn/CN/abstract/abstract11422.shtml
XIA R W.Overview of adaptive strusture[J].Journal of Beijing University of Aeronautics and Astronautics, 1999, 25(6):623-628(in Chinese). http://bhxb.buaa.edu.cn/CN/abstract/abstract11422.shtml
|
[16] |
卫剑征, 毛丽娜, 杜星文.空间卷曲折叠管充气控制展开动力学研究[J].工程力学, 2009, 26(1):227-232. http://www.cqvip.com/QK/95324X/200901/29497722.html
WEI J Z, MAO L N, DU X W.Study for inflatable control deployment dynamics of rolled booms[J].Engineering Mecha-nics, 2009, 26(1):227-232(in Chinese). http://www.cqvip.com/QK/95324X/200901/29497722.html
|
[17] |
徐彦, 关富玲.可展开薄膜结构折叠方式和展开过程研究[J].工程力学, 2008, 25(5):176-181. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=gclx200805029
XU Y, GUAN F L.Fold methods and deployment analysis of deployable membrane structure[J].Engineering Mechanics, 2008, 25(5):176-181(in Chinese). http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=gclx200805029
|
[18] |
MAIN J A, CARLIN R A, GARCIA E, et al.Dynamic analysis of space-based inflated beam structures[J].Journal of the Acoustical Society of America, 1995, 97(2):1035-1045. doi: 10.1121/1.412216
|
[19] |
谭惠丰, 李云良, 毛丽娜, 等.空间充气展开支撑管的自振特性研究[J].哈尔滨工业大学学报, 2008, 40(5):709-713. http://www.cnki.com.cn/Article/CJFDTotal-ZDZC201506019.htm
TAN H F, LI Y L, MAO L N, et al.Free vibration characteristics of inflatable supporting tube[J].Journal of Harbin Institute of Technology, 2008, 40(5):709-713(in Chinese). http://www.cnki.com.cn/Article/CJFDTotal-ZDZC201506019.htm
|
[20] |
刘福寿. 大型空间结构动力学等效建模与振动控制研究[D]. 南京: 南京航空航天大学, 2015: 49-74. http://cdmd.cnki.com.cn/Article/CDMD-10287-1016751976.htm
LIU F S. Dynamic equivalent modeling and vibration control of large space structures[D]. Nanjing: Nanjing University of Aeronautics and Astronautics, 2015: 49-74(in Chinese). http://cdmd.cnki.com.cn/Article/CDMD-10287-1016751976.htm
|
[21] |
JHA A, INMAN D.Importance of geometric non-linearity and follower pressure load in the dynamic analysis of a gossamer structure[J].Journal of Sound and Vibration, 2004, 278(1-2):207-231. doi: 10.1016/j.jsv.2003.10.026
|
[22] |
APEDO K L, RONEL S, JACQUELIN E, et al.Free vibration analysis of inflatable beam made of orthotropic woven fabric[J].Thin-Walled Structures, 2014, 78:1-15. doi: 10.1016/j.tws.2013.12.004
|
[23] |
THOMAS J C, JIANG Z, WIELGOSZ C.Continuous and finite element methods for the vibrations of inflatable beams[J].International Journal of Space Structures, 2006, 21(4):197-222. doi: 10.1260/026635106780866033
|
[24] |
COWPER G R.The shear coefficient in Timoshenko's beam theory[J].Journal of Applied Mechanics, 1967, 33(2):335-340. http://www.sciencedirect.com/science/article/pii/0022460X83905114
|
[25] |
PRZEMIENIECKI J S. Theory of matrix structural analysis[M].New York:McGraw-Hill, 1968:388-391.
|
[26] |
宋博. 充气展开自支撑结构力学特性研究[D]. 哈尔滨: 哈尔滨工业大学, 2015: 50-62. http://www.wanfangdata.com.cn/details/detail.do?_type=degree&id=D754508
SONG B. Research of mechanical properties of inflatable self-supporting structure[D]. Harbin: Harbin Institute of Technology, 2015: 50-62(in Chinese). http://www.wanfangdata.com.cn/details/detail.do?_type=degree&id=D754508
|
[27] |
WEI J Z, TAN H F, YU J X, et al.Dynamic testing and analysis of inflatable beams[J].Applied Mechanics and Materials, 2012, 226-228:546-552. doi: 10.4028/www.scientific.net/AMM.226-228
|