骨架支承式鞍形膜结构的风致响应和可靠度参数分析
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作者单位:

1.广州大学 土木工程学院;2.福州大学 土木工程学院;3.重庆大学 土木工程学院;4.四川省宜宾市叙州区住房和城乡建设局

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TU311.3

基金项目:

国家自然科学基金项目(52108121);广东省基础与应用基础研究基金项目(2019A1515011063);广州市科技计划项目(202102010455)


Wind-induced response and reliability parameters analysis of skeleton supported saddle membrane structure
Author:
Affiliation:

1.School of Civil Engineering, Guangzhou University;2.School of Civil Engineering, Fuzhou University;3.College of Civil Engineering, Chongqing University;4.Housing and Urban-Rural Development Bureau of Xuzhou District, Yibin City, Sichuan Province

Fund Project:

National Natural Science Foundation of China (No. 52108121); Guangdong Basic and Applied Basic Research Foundation (NO. 2019A1515011063); Guangzhou Science and Technology Project (NO. 202102010455)

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    摘要:

    膜结构对风荷载敏感,在风荷载作用下会产生剧烈的振动位移,同时膜结构的抗风设计缺乏可靠度理论的支撑和保证。建立膜结构在风荷载作用下的随机振动模型和可靠度理论可为膜结构的抗风设计提供参考。首先,以骨架支承式鞍形膜结构为研究对象,基于冯·卡门大挠度理论和势流理论建立了风荷载作用下的随机振动理论模型,并采用KBM摄动法结合MATLAB软件求解得到了风致动力响应的近似理论公式。然后,根据位移首次超越破坏准则建立了骨架支承式鞍形膜结构的可靠度功能函数,并利用一次二阶矩法求得可靠指标和失效概率。其次,进行了骨架支承式鞍形膜结构的风洞试验,从流速与压强的角度分析了膜面上各点的振动规律。最后,引入相对相差对理论结果与试验结果进行了对比,并对影响可靠度的参数进行了敏感性分析。研究结果表明,理论与试验结果吻合效果较好。矢跨比、预张力和风速均对膜结构可靠度有一定影响,但从失效概率的变化趋势上可知,矢跨比相较于其他变量而言对膜结构可靠度的影响更加显著。

    Abstract:

    The membrane structure is sensitive to wind load, and severe vibration displacement will occur under wind load. At the same time, the wind resistance design of the membrane structure lacks the support and guarantee of the reliability theory. The random vibration model and reliability theory of membrane structure under wind load can provide reference for the wind resistance design of membrane structure. Firstly, the skeleton supported saddle membrane structure is taken as the research object. Based on Von Karman's large deflection theory and potential flow theory, a theoretical model of random vibration under wind load is established. The approximate theoretical formula of wind-induced dynamic response is obtained by KBM perturbation method combined with MATLAB software. Then, according to the displacement first-passage failure criterion, the reliability performance function of the skeleton supported saddle membrane structure is established, and the reliability index and failure probability are obtained by the first-order second-moment method. Secondly, the wind tunnel test of the skeleton supported saddle membrane structure is carried out, and the vibration law of each point on the membrane is analyzed from the perspective of flow velocity and pressure. Finally, the relative phase difference is introduced to compare the theoretical results with the experimental results, and the sensitivity analysis of the parameters affecting the reliability is carried out. The results show that the theoretical results are in good agreement with the experimental results. The rise-span ratio, pretension and wind speed all have a certain influence on the reliability of membrane structure. However, from the trend of failure probability, it can be seen that the rise-span ratio has a more significant influence on the reliability of membrane structure than other variables.

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  • 收稿日期:2024-03-29
  • 最后修改日期:2024-05-25
  • 录用日期:2024-06-29
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