空间结构模态局部化和跃迁现象及分析

Analysis of Mode Localization and Transition in Spatial Structures

对空间结构模态局部化和跃迁现象进行了研究.通过某空间结构平面子结构的模态分析算例,证明了模态局部化和跃迁现象的存在.利用矩阵摄动理论揭示了2种现象的发生机理,得到空间结构模态局部化和跃迁现象发生的内因是结构自振频率的密集分布,外因是结构物理参数的微小变化.并阐述了2种现象对空间结构抗震计算和损伤识别的重要影响.指出忽略模态局部化现象进行的网壳结构抗震计算可能是偏于不安全的,掌握并利用好模态局部化和蹶迁现象,可能成为解决网壳结构损伤识别问题的一条有效途径。

Mode localization and transition in spatial structures are studied in this paper.Through the modal analysis of a plane substructure of spatial structures,the existence of mode localization and transition is verified.The mechanism of two phenomena is rerealed by the perturbation theory.The conclusion is that the internal cause of two phenomena is intensive frequencies of spatial structures and the external cause is the slight change of structural physics parameters.At last,the important impact of two phenome...