Energy-Based Analysis of Anti-Seismic Performance of Latticed Shell in Coordination
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摘要: 为了揭示地震作用下网壳结构各局部间受力状态及该变化与结构承载能力间的关系，对有限元全荷载域动力时程分析应变能数据进行了再建模，在此基础上应用能量参数系统研究了地震作用下网壳结构各杆件内力重分布.研究结果表明，网壳结构在工作状态下各单元间能够协调、稳定地共同承担外荷载；当结构失效后，各单元间协调变形的稳定性被破坏，基于协调变形可以判断网壳结构的工作状态；在水平向动荷载作用下，单层网壳中下部指数应变能较大，径杆最大值出现在第5环，约为第1环的13倍；三向地震波作用下，中上部指数应变能较大，径杆最大值出现在第2环，约为第6环的15倍.Abstract: An analytical numerical model was rebuilt to reveal changes in local stress state in a single-layer reticulated shell under earthquake, as well as the relationship between the changes and structural failure loads. The numerical model was rebuilt based on the strain energy from nonlinear response history analyses at increasing levels of ground motion intensity to systematically study the redistribution of seismic internal force in elements in the single-layer reticulated shell by using the strain energy parameter. The results showed that elements in a single-layer shell can bear seismic loads harmoniously and steadily in the normal working state. However, harmonious and steady characteristics were not observed in the failure state. Therefore, different stress states can be distinguished by checking the structural coordinative working capability. In addition, the strain energy in the lower parts of the single-layer reticulated shell was larger than that in other parts such as in the radial members under horizontal ground motion, the maximum value was observed in the fifth hoop, which was 13 times larger than that in the first hoop. The strain energy in the upper parts of the single-layer reticulated shell was larger than that in other parts such as in the radial members under 3D ground motion; the maximum value was observed in the second hoop, which was 15 times than that in the sixth hoop.
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Key words:
- energy /
- strain energy /
- shell structures /
- seismic loads /
- coordination
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图 2 单集中质量体系在水平单向TAFT地震波作用下能量曲线
Figure 2. Energy analysis of single-lumped mass system subjected to horizontal unidirectional TAFT wave
图 4 忽略几何非线性影响时的能量和加速度
Figure 4. Energy-peak Ground Acceleration curves, ignoring geometrical non linearity
图 5 三维TAFT地震波作用下单集中质量体系能量参数比较
Figure 5. Energy analysis of single-lumped mass system subjected to three-dimensional TAFT wave
图 6 三维简谐荷载作用下单集中质量体系能量比较
Figure 6. Energy analysis of single-lumped mass system subjected to three-dimensional harmonic wave
图 8 5种能量与地震波加速度峰值的关系
Figure 8. Relationship between the five strain energies and peak ground acceleration
图 11 水平向简谐荷载作用下3种类型单元的指数应变能密度比值
Figure 11. Comparison of strain energy ratios among three-type members in the shell model subjected to horizontal harmonic wave
图 12 TAFT地震波用下3种类型单元的指数应变能密度比值
Figure 12. Comparison of strain energy ratios among three-type members in the shell model subjected to TAFT wave
表 1 水平简谐荷载作用下能量相关系数
Table 1. Correlation coefficients of exponential strain energy under horizontal harmonic wave
能量比值参数 弹性工作状态 弹塑性工作状态 弹塑性工作状态 瞬态阶段 相对稳定阶段 ρHT ρRT ρOT ρHT ρRT ρOT ρHT ρRT ρOT ρHT ρRT ρOT ρHT 1.00 -0.99 0.99 1.00 -0.31 -0.99 1.00 0.56 -0.99 1.00 -0.77 -0.75 ρRT -0.99 1.00 -0.99 -0.31 1.00 0.21 0.56 1.00 -0.64 -0.77 1.00 0.15 ρOT 0.99 -0.99 1.00 -0.99 0.21 1.00 -0.99 -0.64 1.00 -0.75 0.15 1.00 
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表 2 三向TAFT波作用下能量相关系数
Table 2. Correlation coefficients of exponential strain energy under three-dimensional wave
能量比值参数 弹性工作状态 弹塑性工作状态 弹塑性工作状态 瞬态阶段 相对稳定阶段 ρHT ρRT ρOT ρHT ρRT ρOT ρHT ρRT ρOT ρHT ρRT ρOT ρHT 1.00 -0.82 -0.92 1.00 -0.74 -0.99 1.00 0.99 -0.99 1.00 -0.98 -0.99 ρRT -0.82 1.00 0.54 -0.74 1.00 0.66 0.99 1.00 -0.99 -0.98 1.00 0.95 ρOT -0.92 0.54 1.00 -0.99 0.66 1.00 -0.99 -0.99 1.00 -0.99 0.95 1.00
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