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| 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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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 shells diameters are the most important. Meanwhile, structural robustness would be decreased when reducing supports．
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Published: 01 May 2013
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基于H∞理论的网壳结构鲁棒性分析
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.
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