北京航空航天大学学报 ›› 2018, Vol. 44 ›› Issue (3): 526-534.doi: 10.13700/j.bh.1001-5965.2017.0207

• 论文 • 上一篇    下一篇

充气展开自支撑臂振动模态分析

马瑞强, 卫剑征, 谭惠丰   

  1. 哈尔滨工业大学复合材料与结构研究所, 哈尔滨 150001
  • 收稿日期:2017-04-06 出版日期:2018-03-20 发布日期:2017-09-18
  • 通讯作者: 谭惠丰 E-mail:tanhf@hit.edu.cn
  • 作者简介:马瑞强,男,博士研究生。主要研究方向:充气结构的振动特性;卫剑征,男,博士,副教授。主要研究方向:大型充气展开结构的展开动力学;谭惠丰,男,博士,教授,博士生导师。主要研究方向:超大型航天器可展开结构。
  • 基金资助:
    国家自然科学基金创新研究群体项目(11421091);中央高校基本科研业务费专项资金(HIT.MKSTISP.201609)

Vibration modal analysis of inflatable self-supporting booms

MA Ruiqiang, WEI Jianzheng, TAN Huifeng   

  1. Center for Composite Materials and Structures, Harbin Institute of Technology, Harbin 150001, China
  • Received:2017-04-06 Online:2018-03-20 Published:2017-09-18
  • Supported by:
    Project supported by the Foundation for Innovative Research Groups of the National Natural Science Foundation of China (11421091); the Fundamental Research Funds for the Central Universities (HIT. MKSTISP. 2016 09)

摘要: 充气展开自支撑臂是由层合铝膜和离散自支撑壳组成,可在无充气压力下实现对有效载荷的支撑。为提高充气展开自支撑臂振动特性预测精度,首先,基于Timoshenko梁理论和哈密顿原理,推导了自支撑臂振动微分方程,提出了考虑充气压力的预应力和构型变化的梁单元模型。该单元模型考虑了结构自支撑壳的离散分布特性,使建立的质量矩阵更接近自支撑臂结构的真实值。然后,通过实验对该模型进行验证,结果表明本文方法比传统梁单元模型具有更好的精度。最后,分析了充气压力和自支撑壳宽度等参数对自支撑臂结构振动模态的影响规律,结果可为充气展开自支撑臂的设计提供理论参考。

关键词: 可展开结构, 自支撑, 充气结构, 预应力, 振动模态

Abstract: 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.

Key words: deployable structure, self-supporting, inflatable structures, prestress, vibration mode

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