强震下网壳结构性能的多模态整体损伤演化

MULTI-MODE-BASED GLOBAL DAMAGE EVOLUTION OF LATTICE SHELLS UNDER STRONG EARTHQUAKES

  • 摘要: 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。

     

    Abstract: Based on existing macroscopic global seismic damage models, the Linear Modal Assurance Criteria (LMAC) method is used to consider modal transition that occurs commonly in lattice shells excited by strong earthquakes. In view of dynamic properties of lattice shells, a simplified modal damage model with modal contribution coefficient equal to 1.0 is presented and used to generate a global seismic damage index, with the assumption of total independence between modal damage. This simplified model is applied and numerically validated in the damage assessment of a 40m-span example Schwedler single-layer latticed shell excited by strong earthquakes. The damage indices generated from the model comply with the well-known positive S-type damage evolution curve, if modal matching and the contributions from higher modes are seriously treated. The assessment results also agree well with the responses, especially the maximum nodal displacement of the shell from incremental dynamic analysis (IDA) with three earthquakes. In addition, the simplified model is able to quantify the influence of initial imperfections on global damage, and to reveal the multiple modal properties of such influence. Although the results from IDA are strongly dependent on the selection of earthquakes, an ideal consistency has been shown in the computed damage indices corresponding to all characteristic points.

     

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