Nonlinear Dynamic Characterization and Parameter Optimization Analysis of Cable-beam-membrane Tension Antenna Deployable Structure

doi:10.3901/JME.2025.01.092

Abstract

Abstract: The tension structure combined by cable, beam and membrane element, with the characterized of high folding ratio, light weight, rigid-flexible coupling, is one of the development directions of space deployable antenna. To study the nonlinear dynamic characteristics of the cable-beam-membrane complex flexible structure, consider the influence of the pretension, a new type of cable-beam-membrane tension antenna is analyzed for its nonlinear dynamic characteristics and optimized for its structural parameters. Firstly, based on the nonlinear dynamics theory, the nonlinear dynamics model of antenna deployable structure under the influence of pretension is established by adopting the temperature-structure pretension import method. On this basis, the nonlinear influence of pretension, material parameters and structural geometric parameters on the dynamic characteristics of the antenna deployable structure are analyzed. Results show that, the antenna nature frequency increases with the increase of the pretension, the diameter of the cable, and the beam cross-sectional area, and decreases with the increase of the membrane thickness. Finally, according to the sensitivity analysis results, based on the multi objective genetic algorithm, the antenna structure parameter optimization scheme is obtained. This result provides a theoretical and engineering application basis for the development of antenna prototype.

Key words: cable-beam-membrane structure, tension antenna, nonlinear dynamics, finite element analysis, structural parameters optimization

CLC Number:

V474

LIU Ruiwei, ZHANG Bifeng, FAN Yating, WEN Zhaolin, XIAO Tibing, GUO Hongwei. Nonlinear Dynamic Characterization and Parameter Optimization Analysis of Cable-beam-membrane Tension Antenna Deployable Structure[J]. Journal of Mechanical Engineering, 2025, 61(1): 92-100.

References

[1] 段宝岩. 柔性天线结构分析、优化与精密控制[M]. 北京：科学出版社，2005. DUAN Baoyan. Structural analysis，optimization and precision control of flexible antennas[M]. Beijing：Science Press，2005.
[2] 马小飞，宋燕平. 可展开结构[M]. 北京：国防工业出版社，2016. MA Xiaofei，SONG Yanping. Deployable structures[M]. Beijing：National Defense Industry Press，2016.
[3] 胡飞，宋燕平，郑士昆，等. 空间构架式可展天线研究进展与展望[J]. 宇航学报，2018，39(2)：111-120. HU Fei，SONG Yanping，ZHENG Shikun，et al. Advances and trends in space truss deployable antenna[J]. Journal of Astronautics，2018，39(2)：111-120.
[4] 刘荣强，史创，郭宏伟，等. 空间可展开天线机构研究与展望[J]. 机械工程学报，2020，56(5)：1-12. LIU Rongqiang，SHI Chuang，GUO Hongwei，et al. Review of space deployable antenna mechanisms[J]. Journal of Mechanical Engineering，2020，56(5)：1-12.
[5] 田大可，范小东，郑夕健，等. 空间可展开天线微重力环境模拟研究现状与展望[J]. 机械工程学报，2021，57(3)：11-25. TIAN Dake，FAN Xiaodong，ZHENG Xijian，et al. Research status and prospect of micro-gravity environment simulation for space deployable antenna[J]. Journal of Mechanical Engineering，2021，57(3)：11-25.
[6] 王杰，李东旭，蒋建平，等. 星载大型可展桁架式薄膜结构在轨热分布特性研究[J]. 测绘通报，2014(S1)：9-14. WANG Jie，LI Dongxu，JIANG Jianping，et al. Thermal analysis of large deployable truss support membrane structure on satellite[J]. Surveying and Mapping Bulletin，2014(S1)：9-14.
[7] LIU Z Q，QIU H，LI X，et al. Review of large spacecraft deployable membrane antenna structures[J]. Chinese Journal of Mechanical Engineering，2017，30(6)：1447- 1459.
[8] HUANG J. The development of inflatable array antennas[J]. IEEE Antennas and Propagation Magazine，2001，43(4)：44-50.
[9] POTVIN M J，MONTMINY S，BRUNEL S，et al. Testing of a deployable SAR membrane antenna mechanical prototype[C]// 49th AIAA/ASME/ASCE/AHS/ASC Structures，Structural Dynamics，2008：2208.
[10] MARCO S，CHRISTIAN H，CHRISTINE A，et al. Design and sizing of a 40m² deployable membrane SAR space antenna[J]. Journal of Spacecraft and Rockets，2008，43(6)：1301-1307.
[11] 谢超，严飙，刘钰，等. 大型星载薄膜天线高精度制造技术研究[J]. 载人航天，2018，24(1)：79-83. XIE Chao，YAN Biao，LIU Yu，et al. High precision manufacturing technology for space-based membrane antennas[J]. Manned Spaceflight，2018，24(1)：79-83.
[12] BORSE D R，DIWAN H，GUPTA D，et al. Free vibration analysis of inflatable space structure[J]. IOSR Journal of Mechanical and Civil Engineering，2014，11(6)：48-53.
[13] BONFANTI A，BHASKAR A. Elastic stabilization of wrinkles in thin films by auxetic microstructure[J]. Extreme Mechanics Letters，2019，33：100556.
[14] 刘充，李玉宇，保宏，等. 边界几何参数对空间平面张拉膜结构固有频率影响研究[J] 振动与冲击，2015，34(20)：198-202. LIU Chong，LI Yuyu，BAO Hong，et al. Natural frequencies of pre-tensioned membrane structure with different boundary geometrical parameters[J]. Vibration and Shock，2015，34(20)：198-202.
[15] 蔡文. 平面薄膜天线结构动力学特性分析与智能振动控制研究[D]. 长沙：国防科技大学，2022. CAI Wen. Dynamic characteristics analysis of planar membrane structures antenna and research on intelligent vibration control[D]. Changsha：National University of Defense Technology，2022.
[16] 李冰岩. 张拉薄膜结构力学特性分析及三棱柱式薄膜支撑臂设计[D]. 哈尔滨：哈尔滨工业大学，2021. LI Bingyan. Mechanical characteristics analysis of tensioned membrane structure and design of triangular prism membrane support mast[D]. Harbin：Harbin Institute of Technology，2021.
[17] LIU X，CAI G，PENG F，et al. Dynamic model and active vibration control of a membrane antenna structure[J]. Journal of Vibration and Control，2018，24(18)：4282- 4296.
[18] ZHANG Q，ZHONG Y，WANG Z，et al. Analytical model and general calculation procedure for wrinkled membrane parameters[J]. International Journal of Mechanical Sciences，2022，221：107168.
[19] SAKAMOTO H，PARKKC. Advanced cable boundary layer design in membrane structures for dynamic wrinkle reduction[C]// AIAA/ASME/ASCE/AHS/ASC Structures，Structural Dynamics and Materials Conference. Austin，Texas：AIAA，2005：1-12.
[20] 邵琦，陆一凡，史创，等. 空间薄膜结构刚柔耦合非线性动力学分析[J]. 中国空间科学技术，2022，42(1)：47-56. SHAO Qi，LU Yifan，SHI Chuang，et al. Rigid-flexible coupled nonlinear dynamics and analysis of space membrane structure[J]. Chinese Space Science and Technology，2022，42(1)：47-56.
[21] 刘瑞伟，郭宏伟，刘荣强，等. 大口径索肋张拉式折展天线索网结构动力学特性分析[J]. 机械工程学报，2019，55(12)：1-8. LIU Ruiwei，GUO Hongwei，LIU Rongqiang，et al. Dynamic characteristics analysis of cable net for large cable-rib tension deployable antenna[J]. Journal of Mechanical Engineering，2019，55(12)：1-8.
[22] 杨庆山，姜忆南. 张拉索—膜结构分析与设计[M]. 北京：科学出版社，2004. YANG Qingshan，JIANG Yinan. Analysis and design of tensioned cable-membrane structures[M]. Beijing：Science Press，2004.
[23] WANG J，ZHAO H，CHEN L. Effects of the initial deformation on the dynamic response of local nonlinear systems[J]. Journal of Dynamics and Control，2015，13(3)：188-193.
[24] 张华，刘汉武，李东颖，等. 大型空间可展薄膜结构动力学仿真分析[J]. 空间科学学报，2018，38(1)：101-108. ZHANG Hua，LIU Hanwu，LI Dongying，et al. Study of dynamics simulation on large space deployable membrane structures[J]. Journal of Space Science，2018，38(1)：101-108.
[25] 王岩，杨慧，刘荣强. 星载薄膜天线人形杆单侧驱动机构设计与试验研究[J]. 振动与冲击，2022，41(5)：27-32. WANG Yan，YANG Hui，LIU Rongqiang. Design and tests of single-sided driving mechanism for TRAC boom of spaceborne thin film antenna[J]. Vibration and Shock，2022，41(5)：27-32.