Failure criterion for suspen-domes based on exponential strain energy density
ZHANG Ming1, TIAN Shixuan2, LIU Zhanhui1, ZHOU Guangchun3,4, CHEN Zhiwei1
1.School of Civil Engineering, Southwest Jiaotong University, Chengdu 610031, China;
2. Beijing Branch, Arup International Consultant (Shanghai) Co. Ltd, Beijing 100020, China;
3. MOE Key Lab of Structural Dynamic Behavior and Control, Harbin Institute of Technology, Harbin 150090, China;
4. School of Civil Engineering, Harbin Institute of Technology, Harbin 150090, China
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.
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