华南理工大学学报(自然科学版) ›› 2010, Vol. 38 ›› Issue (7): 135-139.doi: 10.3969/j.issn.1000-565X.2010.07.024

• 土木建筑工程 • 上一篇    下一篇

预应力薄膜充气梁模态的分析方法及特性

高海健 陈务军 付功义   

  1. 上海交通大学 空间结构研究中心, 上海 200030
  • 收稿日期:2009-10-20 修回日期:2010-03-15 出版日期:2010-07-25 发布日期:2010-07-25
  • 通信作者: 高海健(1976-),男,博士生,主要从事空间结构研究. E-mail: ghj1129@sina.com
  • 作者简介:高海健(1976-),男,博士生,主要从事空间结构研究.
  • 基金资助:

    国家自然科学基金资助项目(50808122 50878128); 国家“863”计划资助项目(863-705-2007A1)

Modal Analysis Method and Modal Behavior of Prestressed Inflatable Fabric Beam

Gao Hai-jian  Chen Wu-jun  Fu Gong-yi   

  1. Space Structures Research Centre,Shanghai Jiaotong University,Shanghai 200030,China
  • Received:2009-10-20 Revised:2010-03-15 Online:2010-07-25 Published:2010-07-25
  • Contact: 高海健(1976-),男,博士生,主要从事空间结构研究. E-mail: ghj1129@sina.com
  • About author:高海健(1976-),男,博士生,主要从事空间结构研究.
  • Supported by:

    国家自然科学基金资助项目(50808122 50878128); 国家“863”计划资助项目(863-705-2007A1)

摘要: 为有效揭示预应力薄膜充气梁的模态特性,文中首先根据柔性薄膜结构的受力特点,考虑大变形、初始预应力等几何非线性效应,通过小杨氏模量法找形分析得到平衡形态,继承其位形与初始平衡应力;然后采用分块兰索斯法对薄膜充气梁模态进行数值计算分析,考察了影响薄膜充气梁模态特性的主要因素:压力、薄膜厚度、管径;最后,提出薄膜结构湿模态概念,考虑外流场对薄膜充气梁的耦合作用,分别采用拟密度法和流固耦合法计算了薄膜充气梁的湿模态,通过与干模态的比较验证了外流场对薄膜充气梁的耦合效应.

关键词: 薄膜充气梁, 干模态, 湿模态

Abstract:

In order to reveal the modal behaviors of inflatable fabric beams ( IFB) ,first,the equilibrium shape of IFB is obtained via the form-finding of small Yung's Modulus method,with the loading characteristics of flexible membrane structures and the nonlinear geometric factors such as the large deformation and the initial prestress being considered. Thus,the configuration and initial equilibrium stress are sequentially inherited. Next,the modes of IFB are numerically calculated and analyzed by means of the block-Lanczos method,and the effects of pressure, fabric thickness and radius ( slenderness) on the modal behaviors of IFB are analyzed. Then,the wet mode of IFB is proposed and is computed respectivelg via the approximate density method and the fluid-structure interaction method with the consideration of the coupling between the external air fluid field and the flexible IFB. Finally,a comparison between the wet mode and the dry mode of IFB is made. The results validate the coupling effect between the external air fluid and the IFB.

Key words: inflatable fabric beam, dry mode, wet mode