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| Analysis of structural robustness with non-probabilistic uncertainties |
| Received:November 22, 2011 Revised:March 24, 2012 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx201301009 |
| KeyWord:robustness robust H∞ control convex model elastic-plastic |
| Author | Institution |
| 张成 |
浙江大学 建筑工程学院,杭州 |
| 吴慧 |
浙江财经学院 工商分院,杭州 |
| 高博青 |
浙江大学 建筑工程学院,杭州 |
| 董石麟 |
浙江大学 建筑工程学院,杭州 |
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| Abstract: |
| Currently there is no generally accepted criterion for a quantitative measure of structural robustness. Taking basis in robust H∞ control theory, a framework for quantitative assessing structural robustness considering uncertainties is proposed. Non-probabilistic uncertainties of external loads and structure itself are expressed by convex model, and structural robustness can be assessed by H∞ norm of the transfer function. Specific formula for elastic-plastic structural robustness is given, using L2 norm as an evaluation of signal. Analysis results of a single degree of freedom parallel system indicate that structural robustness will be overestimated without considering plasticity.Analysis of a truss structure subjected to static and dynamic load indicates that H∞ structural robustness index can effectively and reasonably reflect structural robustness. The results show that increasing redundancy of structures or load-carrying capacity reserves of key components can enhance structural robustness, while fluctuations of external load and properties of structures will reduce structural robustness. |