Seismic Damage Evaluation Indexes and Classification Criteria of Spatial Structures
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摘要: 大跨空间结构广泛应用于航站楼、高铁站和会展中心等大型公共建筑,这些建筑中人群密集,而且投资大,地震作用下不仅要保证其抗震安全性,还要考虑其可能的地震损伤程度和造成的经济损失,即进行性能化抗震设计。我国GB 50011—2010《建筑抗震设计规范》中关于抗震性能化设计的基本原则主要基于混凝土结构确定,不适合大跨空间结构。因此,以单层球面网壳、单层柱面网壳和桁架三种工程常用的空间结构为例,采用有限元方法分析其地震响应特征和破坏模式,确定适合的地震损伤评价指标,划分其地震损伤等级,为大跨度空间结构性能化抗震设计提供支撑。根据JGJ 7—2010《空间网格结构技术规程》,采用设计软件3D3S设计了不同跨度、不同矢跨比的15个单层球面网壳结构、9个单层柱面网壳结构和16个管桁架结构;采用有限元软件ABAQUS分别建立这些结构有限元模型,根据GB 50011—2010的规定,从太平洋地震工程研究中心地震动数据库中选取符合结构目标反应谱的34条地震动,对结构输入按照1∶0.85∶0.65进行三向调幅的地震动,分析结构在不同强度的不同地震动下的响应,总结结构的地震响应特征和破坏模式。
结果表明:对于单层球面网壳结构,节点最大位移随地震动强度变化明显,塑性应变能可充分反映结构的损伤程度,因此采用节点最大位移和反映地震损伤程度的塑性应变能2个参数作为结构地震损伤评价指标,根据考虑两者不同权重的损伤指数提出了单层球面网壳结构地震损伤等级划分准则;对于单层柱面网壳结构,二次静力分析的结构变形与结构地震位移响应相似,说明震后结构在静力作用下的损伤是在其地震损伤上进一步发展的,因此采用地震作用前后结构的静力极限承载力作为结构地震损伤评价指标,根据考虑静力极限承载力变化的损伤指数提出了单层柱面网壳结构地震损伤等级划分准则;对于管桁架结构,主桁架跨中区域和支座附近杆件发生了较大塑性变形,结构刚度显著降低,采用塑性应变作为较大塑性变形杆件地震损伤评价指标并划分其损伤等级,根据不同损伤等级杆件所占比例提出了管桁架结构地震损伤等级划分准则。单层球面网壳结构和单层柱面网壳结构的最大位移与跨度之比均与损伤指数正相关,因此,也可根据最大位移与跨度比来划分结构的地震损伤等级,更简单快捷。Abstract: Large-span space structures are widely used in large public buildings such as terminal buildings, high-speed railway stations and exhibition centers, which have intensive population and enormous investment. It is necessary not only to ensure their seismic safety under earthquakes, but also to consider their potential seismic damage and economic losses, that is, to carry out performance-based seismic design. The basic principles of seismic performance design in China′s Code for Seismic Design of Buildings(GB 50011-2010) are mainly based on concrete structures and not suitable for large-span space structures. Therefore, in this paper, taking single-layer spherical reticulated shells, single-layer cylindrical reticulated shells and trusses as examples, the finite element method is used to analyze their seismic response characteristics and failure modes, determine suitable seismic damage evaluation indexes, classify their seismic damage levels, and provide support for performance-based seismic design of large-span space structures. According to the Technical Specification of Space Frame Structures(JGJ 7-2010), 15 single-layer spherical reticulated shells, 9 single-layer cylindrical reticulated shells and 16 tubular trusses with different spans and rise-to-span ratios were designed by using the design software 3D3S. The finite element software ABAQUS was used to establish the finite element models of these structures. According to the Code for Seismic Design of Buildings, 34 ground motions conforming to the target response spectra of structures were selected from the ground motion database of Pacific Earthquake Engineering Research Center, and the ground motions were three-directionally scaled in a 1∶0.85∶0.65 ratio. The responses of the structures under different ground motions with different intensities are analyzed, and the seismic response characteristics and failure modes of the structures are summarized.
The results show that for single-layer spherical reticulated shells, the maximum displacement of nodes changes significantly with the seismic intensity, and the plastic strain energy can fully reflect the damage levels of the structure. Therefore, two parameters, the maximum displacement of nodes and the plastic strain energy reflecting the earthquake damage degree, are used as the seismic damage evaluation indexes of the structure, based on which the damage index is formed using different weights, and the seismic damage classification criteria are proposed for single-layer spherical reticulated shell structures according to the damage index. For single-layer cylindrical reticulated shells, the structural deformations of the structures in the secondary static analysis are similar to the seismic displacement responses, indicating that the damage of the structure under static loads is the further development on the basis of the seismic damage. Therefore, the static ultimate bearing capacities of the structure before and after earthquakes are used as the evaluation indexes of structural seismic damage. Based on the damage index considering the change of the static ultimate bearing capacity, the classification criteria of seismic damage for single-layer cylindrical reticulated shells are proposed. For the tubular trusses, large plastic deformations occur in the mid-span and near-support areas of the main truss, and the structural stiffness is significantly reduced. The plastic strain is used as the seismic damage evaluation index of the rods with large plastic deformation, and the damage levels of the rods are classified. According to the proportions of the rods with different damage levels, the seismic damage classification criteria for the tubular trusses is proposed. For both the single-layer spherical reticulated shell and single-layer cylindrical reticulated shell, the ratios of the maximum displacement to span are positively correlated with the damage indexes. Therefore, the seismic damage levels of these two types of structures can be classified according to the ratio of the maximum displacement to span, which is simpler and faster. -
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