Importance Evaluation for Cables in the Loop-Free Suspen-Dome Based on an Improved Strain Energy Method

Xiongyan Li; Renjie Liu; Yao Zou; Suduo Xue; Chao Wang

doi:10.13206/j.gjgSE20041903

Volume 35 Issue 7

Oct. 2020

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Xiongyan Li, Renjie Liu, Yao Zou, Suduo Xue, Chao Wang. Importance Evaluation for Cables in the Loop-Free Suspen-Dome Based on an Improved Strain Energy Method[J]. STEEL CONSTRUCTION(Chinese & English), 2020, 35(7): 43-53. doi: 10.13206/j.gjgSE20041903

Citation:

Xiongyan Li, Renjie Liu, Yao Zou, Suduo Xue, Chao Wang. Importance Evaluation for Cables in the Loop-Free Suspen-Dome Based on an Improved Strain Energy Method[J]. STEEL CONSTRUCTION(Chinese & English), 2020, 35(7): 43-53. doi: 10.13206/j.gjgSE20041903

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Importance Evaluation for Cables in the Loop-Free Suspen-Dome Based on an Improved Strain Energy Method

doi: 10.13206/j.gjgSE20041903

1. Spatial Structures Research Center, Beijing University of Technology, Beijing 100124, China;
2. School of Civil Engineering, Yantai University, Yantai 264005, China

Funds:

The authors gratefully acknowledge the supports from the National Natural Science Foundation of China (51778017, 51878014) and Beijing Natural Science Foundation (8172011).

Received Date: 2020-04-19

Abstract

Abstract

Combining the peak change of the total strain energy of the reticulated shell and standard deviation of the strain energy change rates of all reticulated shell members, an improved strain energy method for evaluating the importance of the cables in the loop-free suspen-dome is proposed. Taking two 100 m-span loop-free suspen-domes as examples, the central difference method is employed to calculate the dynamic response and obtain the time history of internal forces and displacements in seven cable-rupture schemes in each model. The peak change of the total strain energy of the reticulated shell and standard deviation of the strain energy change rates of all the reticulated shell members are calculated according to the dynamic response. The results show that the importance ranking results by current strain energy method varies with magnitudes of cross-sectional areas and pre-tension levels of the cable-strut system. The importance ranking results by improved strain energy method is stable and only determined by the location of the cable. It is concluded that the improved strain energy method is reasonable in evaluating the cable importance of the loop-free suspen-dome. It is also found that an outer cable layer is more important than an inner cable layer, and cables in a layer share approximate the same importance. The reticulated shell members with increased strain energy are mostly distributed near the ruptured cable, and members that are far away from the ruptured cable are less affected.
- spatial structures,
- suspen-dome,
- loop-free suspen-dome,
- importance of cable,
- strain energy

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