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在已有宏观地震整体损伤模型基础上,借助线性模态置信准则(英文简称LMAC)来考虑强震作用下网壳结构体系中普遍存在的模态跃迁现象,并结合网壳结构振动特性,给出了模态损伤贡献因子取值为1.0的简化模态损伤计算模型,结构整体损伤则由各阶模态损伤依据模态损伤独立性假设来进行组合得到。在将该模型应用于强震作用下某一算例施威德勒单层网壳结构的损伤演化规律分析与数值验证中发现,当认真处理好模态匹配和高阶模态对损伤的贡献度时,得到的损伤指数更符合通用正S型损伤发展规律,且与三条地震波作用下网壳结构增量动力分析(IDA)得到的特征响应,尤其是最大节点位移曲线吻合较好。此外,简化H2损伤模型不仅能够量化初始缺陷对结构整体初始损伤的影响,而且能够揭示初始缺陷对结构损伤影响的多模态特性。尽管计算结果与地震波的选择存在较大的关联,但是对应于各个特征点损伤数值却显示出较好的一致性。
Based on the existing macro-earthquake global damage model, the linear modal confidence criterion (LMAC) is used to consider the ubiquitous modal transition phenomena in the reticulated shell under the action of strong earthquakes. Combined with the vibration characteristics of the reticulated shell structure, The simplified modal damage calculation model with the modal damage contribution factor of 1.0 is obtained. The overall damage of the structure is obtained by combining the modal damage of every order with the assumptions of modal damage independence. After applying this model to the analysis and numerical verification of the damage evolution of Schwedler single-layer reticulated shell under the strong earthquake, it is found that when dealing with the contribution of modal matching and high-order modes to damage, The obtained damage index is more consistent with the development rule of general positive S-shaped damage, and it is in good agreement with the characteristic response obtained by incremental dynamic analysis (IDA) of three kinds of seismic waves, especially the maximum node displacement curve. In addition, simplifying the H2 damage model can not only quantify the effect of initial defects on the initial damage of the structure as a whole, but also reveal the multimodal characteristics of the initial defects on the structural damage. Although there is a large correlation between the calculation results and the selection of seismic waves, the damage values corresponding to the characteristic points show good consistency.