A Form-Finding Method for Branching Structures Based on Dynamic Relaxation
Abstract
:1. Introduction
2. Method
2.1. Governing Equation
2.2. Element Cluster
3. Characteristics of the Element-Clustered Method
4. Numerical Example
5. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
References
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Position of Elements | Shape Scheme I AF/N | Shape Scheme II AF/N | Shape Scheme III AF/N |
---|---|---|---|
Trunk | 100.00 | 100.00 | 100.00 |
First-level branches | 28.631 | 35.970 | 35.988 |
68.901 | 35.992 | 35.914 | |
28.631 | 35.970 | 35.988 | |
Second-level branches | 0.000 | 14.007 | 13.683 |
28.633 | 14.010 | 13.717 | |
0.002 | 13.995 | 13.688 | |
68.900 | 14.028 | 14.999 | |
0.001 | 14.008 | 15.006 | |
0.001 | 14.008 | 15.006 | |
0.000 | 14.007 | 13.683 | |
0.002 | 13.995 | 13.688 | |
28.633 | 14.010 | 13.717 |
Mechanical Parameters | Structure Generated by Traditional DR | Structure Generated by Element Clustered Method |
---|---|---|
Average axial force | −89,737 N | −92,146 N |
Average bending moment | 560.10 N·m | 491.49 N·m |
Maximum axial force | −1.08 × 106 N | −1.11 × 106 N |
Maximum bending moment | 21,285 N·m | 22,029 N·m |
Average vertical displacement | −0.088 m | −0.089 m |
Maximum vertical displacement | −0.164 m | −0.171 m |
Strain energy | 94,825 N·m | 96,617 N·m |
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Tu, G.; Chen, C.; Gong, Z.; Wang, Y. A Form-Finding Method for Branching Structures Based on Dynamic Relaxation. Appl. Sci. 2021, 11, 7165. https://doi.org/10.3390/app11157165
Tu G, Chen C, Gong Z, Wang Y. A Form-Finding Method for Branching Structures Based on Dynamic Relaxation. Applied Sciences. 2021; 11(15):7165. https://doi.org/10.3390/app11157165
Chicago/Turabian StyleTu, Guigang, Chen Chen, Zaijing Gong, and Yueren Wang. 2021. "A Form-Finding Method for Branching Structures Based on Dynamic Relaxation" Applied Sciences 11, no. 15: 7165. https://doi.org/10.3390/app11157165