建筑结构学报2012，Vol.33Issue(5)：87-92,6.
基于H∞理论的结构鲁棒性分析
H∞-based structural robustness analysis
摘要
Abstract
Based on the robust H∞ control theory, a framework for the quantitative assessment of structural robustness is proposed. Structures are described by state space model first. Then following the idea of the H∞ optimization, structural robustness is assessed by H∞ norm of the system transfer function. For linear systems, the uncertainty of stiffness matrix is separated, and the calculation method of the H∞ structural robustness index is given. For nonlinear systems, the L2 performance criterion is introduced to express structural robustness. Through analysis of a single degree freedom system and a truss structure, properties of the H∞ structural robustness index are clarified, and factors affecting structural robustness are studied. The results show that, the H∞ structural robustness index is the ratio of the maximum steady-state vibration amplitude and the interference amplitude, which indicates whether the structural response is proportional to the internal and external uncertainty interference. Improvements of both the overall structure performance like load-carrying capacity and energy dissipation capacity reservations, and the local redundancy of key components can enhance structural robustness. Meanwhile the H∞ structural robustness index is sensitive to structural parameters.关键词
鲁棒性/H∞控制/承载力储备/冗余度/损伤Key words
robustness/H∞control/load-carrying capacity reservation/redundancy/damage分类
建筑与水利引用本文复制引用
张成,吴慧,高博青,董石麟..基于H∞理论的结构鲁棒性分析[J].建筑结构学报,2012,33(5):87-92,6.基金项目
国家自然科学基金项目（51178414）,浙江省自然科学基金项目（Y1110438）. （）
