基于指数应变能密度的弦支穹顶结构失效准则研究

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振动与冲击 ›› 2018, Vol. 37 ›› Issue (11) : 145-152.

论文

张明1, 田始轩2, 刘占辉1, 周广春3,4, 陈志伟1

作者信息 +

Failure criterion for suspen-domes based on exponential strain energy density

ZHANG Ming1, TIAN Shixuan2, LIU Zhanhui1, ZHOU Guangchun3,4, CHEN Zhiwei1

Author information +

文章历史 +

摘要

针对弦支穹顶结构缺少失效判断准则问题，本文基于结构整体指数应变能密度对弦支穹顶结构在地震作用下的受力状态进行了分析，提出了弦支穹顶结构的失效判定准则。首先，给出了弦支穹顶结构的指数应变能密度和值（Id）的计算公式，并定性地推导了Id随加速度幅值（A）增加能够发生突变的机理，从而奠定了判断结构失效的理论基础。然后，应用ANSYS有限元通用程序对9个不同构造的弦支穹顶结构分别在三向简谐波和TAFT地震波作用下的特征响应进行了全荷载域动力时程分析，并实时提取出各级动荷载幅值下结构全部单元的应变能密度。进而，构建了弦支穹顶结构的Id-A关系模型，并通过分析结构的不同受力状态证实了Id-A曲线上拐点的存在。据此拐点，本文提出了基于指数应变能密度的弦支穹顶结构的失效荷载判定准则。最后，基于分析所选弦支穹结构动力失效时刻的最大节点位移等动力响应特征，证明了所提出的失效准则的合理性。本文所提出的弦支穹顶结构失效判断准则及其分析方法，将对完善空间网格结构的设计理论及工程实践具有重要的参考价值。

Abstract

Here, a criterion for judging failure of a suspen-dome under seismic loading was proposed based on structural exponential strain energy density whose purpose was to deeply understand aseismic performance, and reasonably judge failure mechanism of a structure. Firstly, the calculation formula for the sum of exponential strain energy density Id of a suspen-dome was derived. The structural failure mechanism was qualitatively analyzed to lay a theoretical foundation for judging failure of a suspen-dome. Then, using the finite element software ANSYS, dynamic response processes of 9 typical suspen-domes under actions of simple harmonic waves and TAFT seismic ones in three directions were calculated and strain energy densities of each structure’s all elements were extracted under dynamic load amplitudes with different levels. Furthermore, the relationship model between Id and the seismic acceleration amplitude A was built, the existence of inflection points on Id ~ A curve was confirmed through analyzing different force-bearing states of structures. According to these inflection points, a criterion for judging failure load of a suspen-dome based on the exponential strain energy density was proposed. Finally, the rationality of the proposed criterion was verified through analyzing the above mentioned structures’ the maximum nodal displacement features during their dynamic failure. The proposed criterion and its analysis method provided an important reference for improving design theories and engineering practices of spatial grid structures.

导出引用

张明1, 田始轩2, 刘占辉1, 周广春3,4, 陈志伟1. 基于指数应变能密度的弦支穹顶结构失效准则研究[J]. 振动与冲击, 2018, 37(11): 145-152

ZHANG Ming1, TIAN Shixuan2, LIU Zhanhui1, ZHOU Guangchun3,4, CHEN Zhiwei1. Failure criterion for suspen-domes based on exponential strain energy density[J]. Journal of Vibration and Shock, 2018, 37(11): 145-152

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