拱形气肋结构干、湿模态分析及附加质量简化公式研究
引用文献：
李居庆 何艳丽. 拱形气肋结构干、湿模态分析及附加质量简化公式研究[J]. 建筑结构，2022，48（01）：49-55.
LI Juqing HE Yanli. Dry and wet modal analysis of air-inflated arch structure and simplified formula study for additional mass[J]. Building Structure，2022,48（01）：49-55.
摘要：为研究拱形气肋结构的模态特征和外部流场附加质量，基于流固耦合势流理论，建立薄膜充气管流固耦合模态有限元模型，以充气管和内充气体共同作用理论模型对薄膜充气管进行干模态分析，并考虑外部空气三者共同作用理论模型对薄膜充气管进行湿模态分析，根据ETFE充气管试验结果对有限元模拟方法进行验证。对拱形气肋结构进行干模态、湿模态参数分析，考虑拱形气肋结构的跨度、直径、充气内压、矢跨比对模态的影响。结果表明：随着气肋跨度和矢跨比的增加，模态频率随之减小；随着气肋直径和充气内压的增加，模态频率随之增加。在模态分析的基础上，进一步分析得到拱形气肋结构前五阶模态附加质量，并提出前五阶模态附加质量的简化公式。
关键词：拱形气肋结构；势流体；湿模态；流固耦合；附加质量；简化公式
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[3] 李鹏，杨庆山.内充气体与外部膜材的共同作用理论模型[J].力学学报，2013,45(6):919-927.
[4] 邱振宇，陈务军，赵兵，等.飞艇主气囊结构湿模态分析与试验研究[J].振动与冲击，2017,36(12):61-67,82.
[5] MAHERI M R,SEVERN R T .Experimental added-mass in modal vibration of cylindrical structures[J].Engineering Structures,1992,14(3):163-175.
[6] 于肖宇，张继革，顾卫国，等.薄壁圆筒结构附加质量的实验研究[J].水动力学研究与进展，2010,25(5):655-659.
[7] LI Y Q,WANG L,SHEN Z Y,et al.Added-mass estimation of flat membranes vibrating in still air[J].Journal of Wind Engineering & Industrial Aerodynamics,2011,99(8):815-824.
[8] 王磊，李元齐，沈祖炎.薄膜振动附加质量试验研究[J].振动工程学报，2011,24(2):125-132.
[9] 高海健，陈务军，付功义.预应力薄膜充气梁模态的分析方法及特性[J].华南理工大学学报(自然科学版),2010,38(7):135-139.
[10] 陈宇峰，陈务军，何艳丽，等.柔性飞艇主气囊干湿模态分析与影响因素[J].上海交通大学学报，2014,48(2):234-238.
[11] HE Y L,CHEN Y F,CHEN W J.Theory and experiment research on the static capability and dynamic property of inflatable beams[C]//The 4th International Conference on Textile Composites and Inflatable Structures-Structural Membranes.Munich,Germany,2013.
Dry and wet modal analysis of air-inflated arch structure and simplified formula study for additional mass
Abstract: In order to analyze the modal characteristics of air-inflated arch structure and the additional mass of external flow field, a finite element simulation model for fluid structure interaction modal of pneumatic membrane tube was presented based on the FSI(fluid structure interaction) theory and potential flow theory. And the dry modal analysis of pneumatic membrane tube was carried out by the theoretical model of the interaction between the inflatable tube and the inner inflatable body. And the wet modal analysis of pneumatic membrane tube was carried out by the theoretical model of the interaction between the air flow field and the inflatable tube. The finite element simulation method was verified by the ETFE inflatable tube test results. Then, the dry and wet modal parameters of air-inflated arch structure were analyzed, considering the influence of the span, diameter, inflation internal pressure and rise-span ratio of air-inflated arch structure on the mode. The results show that the modal frequency decreases with the increase of air-inflated span and rise-span ratio, and increases with the increase of air-inflated diameter and air pressure. Based on the modal analysis, the additional mass of the first five modes of the air-inflated structure was obtained by further analysis, and the simplified formulas of the additional mass of the first five modes were put forward.
Keywords: air-inflated arch structure; potential fluid; wet mode; fluid structure interaction; additional mass; simplified formula
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