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J4  2013, Vol. 47 Issue (5): 818-823    DOI: 10.3785/j.issn.1008-973X.2013.05.012
土木工程     
基于H∞理论的网壳结构鲁棒性分析
张成1,李志安2,高博青1,董石麟1
1. 浙江大学 建筑工程学院,浙江 杭州 310058;2. 杭州华东钢结构制造有限公司,浙江 杭州 311200
Robustness analysis of reticular shells based on H∞ theory
ZHANG Cheng1, LI Zhi-an2, GAO Bo-qing1, Dong Shi-lin1
1. College of Civil Engineering and Architecture, Zhejiang University, Hangzhou 310058, China;
2.Hangzhou Huadong Steel Construction Co.,Ltd, Hangzhou 311200, China
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摘要:

为了分析网壳结构的鲁棒性,基于H∞鲁棒控制理论,采用系统传递函数的H∞范数为结构鲁棒性定量评价指标,通过参数分析,研究几何参数、网格形式对单层网壳结构鲁棒性的影响.针对常见的凯威特型单层网壳结构,通过概念移除构件,分析构件的重要性,进而搜索影响鲁棒性的关键路径.针对某工程实例,讨论不同的支承形式对鲁棒性的影响.结果表明,结构跨度越小、构件截面和矢跨比越大,网壳结构的鲁棒性越强;相比肋环型和肋环斜杆型,凯威特型网壳结构鲁棒性较强;对于周边固支的凯威特型网壳结构,位于圆周直径上的径向构件对鲁棒性最重要;减少支座将降低结构的鲁棒性.

Abstract:

In order to investigate the robustness of reticular shells, the robustness was quantitatively assessed by H∞ norm of system transfer function, based on H∞ robust control theory. Through parametric analysis, influences of geometric parameters and grid configurations on the robustness of single-layer reticular shells were analyzed. For the common Kiewitt shells, components importance indices were calculated by component removal method. Furthermore the critical path for robustness was obtained. Taking an engineering practice for example, the impact of different forms of supports to robustness was discussed. The results showed that robustness of a reticular shell is stronger when the span is smaller, or the rise-span ratio and member sections are larger. Robustness of Kiewitt shells is better than Schwedler shells. For periphery fixed Kiewitt shells, the radial components located on the shells diameters are the most important. Meanwhile, structural robustness would be decreased when reducing supports.

出版日期: 2013-05-01
:  TU 393.3  
基金资助:

 国家自然科学基金资助项目(51178414);浙江省自然科学基金资助项目(Y1110438).

通讯作者: 高博青,男,教授,博导.     E-mail: bqgao@zju.edu.cn
作者简介: 张成(1986-),男,博士生,从事空间钢结构的研究.E-mail: c-zhang@zju.edu.cn
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引用本文:

张成,李志安,高博青,董石麟. 基于H∞理论的网壳结构鲁棒性分析[J]. J4, 2013, 47(5): 818-823.

ZHANG Cheng, LI Zhi-an, GAO Bo-qing, Dong Shi-lin. Robustness analysis of reticular shells based on H∞ theory. J4, 2013, 47(5): 818-823.

链接本文:

http://www.zjujournals.com/eng/CN/10.3785/j.issn.1008-973X.2013.05.012        http://www.zjujournals.com/eng/CN/Y2013/V47/I5/818

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