基于系统状态方程的空间网格结构鲁棒性指标  

Robustness index of spatial lattice structure based on system state equation

作　　者：苏亮[1] 熊前锦[1,2] 

机构地区：[1]浙江大学空间结构研究中心,浙江杭州310058 [2]湖北省电力勘测设计院,湖北武汉430040

出　　处：《空间结构》2014年第4期54-58,95,共6页Spatial Structures

基　　金：国家科技支撑计划课题(2012BAJ07B03)

摘　　要：提出了一种基于系统状态方程的空间网格结构鲁棒性指标,该指标主要结合现代控制理论中矩阵元素摄动的敏感性原理,将具有局部损伤网格结构的鲁棒性评判转化为系统矩阵特征值对矩阵元素摄动的敏感性分析.以正放四角锥网架结构为具体的分析对象,计算了单个杆件损伤情况下网格结构的鲁棒性指标,比较分析了不同杆件的损伤对结构鲁棒性的影响程度.进一步计算了单个杆件损伤情况下网格结构的剩余影响系数,并比较得到两种鲁棒性评价指标具有较吻合的评价结果,从而验证了本文所提出的鲁棒性指标的有效性.A robustness index of spatial lattice structure is proposed in this study based on system state equation. Combined with the modern control theory, the evaluation of the robustness of damaged spatial lattice structure is changed to the sensitivity analysis of matrix eigenvalue to the perturbation of system matrix elements. Taken a square pyramid grid structure as numerical example, the robustness of the damaged structure is evaluated by the proposed robustness index. The influence of different element damage on the structural robustness is compared to each other. Furthermore, the residual influence factor is also calculated for the same damaged spatial lattice structure. The similar robustness evaluation result shows the validity of the proposed robustness index in this study.

关 键 词：结构鲁棒性指标 系统状态方程 空间网格结构 矩阵特征值 剩余影响系数 

分 类 号：TU356[建筑科学—结构工程]