内充气体与外部膜材的共同作用理论模型

李鹏; 杨庆山

doi:10.6052/0459-1879-13-019

内充气体与外部膜材的共同作用理论模型

doi: 10.6052/0459-1879-13-019

李鹏^,,
杨庆山

北京交通大学土木建筑工程学院, 北京 100044

基金项目: 国家自然科学基金重大研究计划资助项目(90815021, 91215302).

详细信息

通讯作者:
李鹏，博士生，主要研究方向：膜结构抗风。E-mail：09115284@bjtu.edu.cn

中图分类号: TU353
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- 被引次数: 0
出版历程
- 收稿日期: 2012-01-21
- 修回日期: 2013-03-27
- 刊出日期: 2013-11-18

INTERACTION MODEL OF THE ENCLOSED AIR AND THE OUTER MEMBRANE

Li Peng^,,
Yang Qingshan

School of Civil Engineering, Beijing Jiaotong University, Beijing 100044, China

Funds: The project was supported by the Major Research plan of the National Natural Science Foundation of China (90815021, 91215302)

摘要

摘要: 将充气膜结构内充气体假定为势流，推导得到速度势表示的内充气体小幅波动方程，并采用Galerkin法离散得到内充气体的有限元动力学方程。引入界面协调条件，建立了内充气体结点速度势与外部膜材结点位移的关系，然后联立薄膜动力方程和气体动力学方程得到充气膜系统内充气体与外部膜材的共同作用理论模型。在该理论模型基础上，建立了两类典型充气结构的数值模型进行分析，通过将数值结果与试验结果对比，验证了共同作用理论模型的准确性和合理性。
- 充气膜结构 /
- 势流 /
- 内充气体 /
- 共同作用 /
- 动力方程
Abstract: The enclosed air in inflatable membrane structures is assumed as potential flow in this paper. The wave equation of enclosed air was derived, and the finite element dynamic equation was obtained by using Galerkin method. The relation between nodal potential of air elements and nodal displacement of membrane elements was established through the introduction of interface coupling conditions. Then the interaction model of the inflatable membrane structure system was obtained by combining the dynamic equations of both the enclosed air and the membrane. On the basis of the interaction model, two typical inflatable structures were modeled and analyzed to verify the accuracy and rationality of the interaction model by comparing the numerical results with the experimental results.
- inflatable membrane structure /
- potential flow /
- enclosed air /
- interaction /
- dynamic equation

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参考文献(20)

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