Study on Inverse Analysis Technique Considering Influence of Construction Procedure on Performance of Large-Span Steel Latticed Arch
Abstract
:1. Introduction
2. Inverse Analysis Method
- (1)
- On the basis of the design node co-ordinate , the construction process simulation analysis of the structure is carried out by using the node correction life and death element method, and the node co-ordinate of the forming state of the structure is ;
- (2)
- Applying to the design node co-ordinate in reverse, the initial pre-deformation node co-ordinate is obtained;
- (3)
- Based on the initial pre-deformation node co-ordinate , the same method is used to simulate and analyze the construction process, and the new pre-deformation node co-ordinate after the second iteration deformation is obtained;
- (4)
- In order to minimize the error as much as possible, the difference (absolute value) between the design node co-ordinate and the new node co-ordinate satisfies the relationship ( is the allowable error), indicating that the error meets the convergence standard, and the iteration ends.
3. Inverse Analysis of the Example
3.1. Structural Information
3.2. Analysis of Single Pre-Deformation Adjustment
3.3. Single Overall Node Co-Ordinate Adjustment and Multiple Dynamic Node Co-Ordinate Adjustment Results and Analysis
4. Conclusions
- (1)
- Based on the finite element analysis software, this paper uses an iterative algorithm to conduct construction simulation analysis of the structure and obtains the pre-deformation values of each node co-ordinate of the structure. By comparison, it can be seen that, after iterative adjustment of co-ordinates, the overall error of the node co-ordinates after construction is rapidly reduced from that of the nodes in the zero state, which proves the effectiveness of the iterative method. It provides theoretical reference for practical engineering.
- (2)
- In this paper, only considering gravity, the iterative calculation of construction simulation of the exhibition hall part of a large-span steel latticed arch simulation is carried out, including single pre-deformation adjustment and dynamic node co-ordinates adjustment. By comparing the data of structural stress, deformation and stress ratio before and after the iteration, we can find that dynamic node co-ordinates adjustment is better than only considering single pre-deformation adjustment, the deformation, stress and stress ratio are reduced on the basis of single pre-deformation adjustment, and the final-state geometry configuration required by the structure is obtained through single pre-deformation adjustment and dynamic adjustment, so as to determine the bearing capacity of the structure.
- (3)
- The inverse analysis method mentioned in this paper is different from the presetting method of steel structure deformation during construction mentioned by predecessors. The previous methods only consider the initial configuration of the structure obtained by the initial iteration adjustment but do not consider the dynamic node adjustment process. This method is based on the initial configuration of the structure obtained through preliminary iterative adjustment and then the dynamic node co-ordinate adjustment is carried out (the influence of the installed part of the structure on the co-ordinate adjustment value of the uninstalled part can be considered; the influence of the uninstalled structure on the deformation of the installed structure can also be considered). Thus, with the progress of the construction process, the optimal approximation of the final state structure to the structure geometry in zero state and the accurate calculation of the bearing capacity performance can be realized.
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
References
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Maximum Error in All Directions | ||||
---|---|---|---|---|
Number of Iterations | ||||
When there is no iteration | 19.59 | 19.42 | 71.60 | |
First iteration | 0.4814 | 0.3558 | 1.736 | |
Second iteration | 0.009339 | 0.007806 | 0.04348 | |
Third iteration | 0.000253 | 0.000196 | 0.001104 |
The Sum of Errors in All Direction | X (mm2) | Y (mm2) | Z (mm2) | |
---|---|---|---|---|
Number of Iterations | ||||
When there is no iteration | 25,275.03 | 71,451.71 | 1,721,828 | |
First iteration | 6.482 | 5.271 | 182.966 | |
Second iteration | 0.00211 | 0.002023 | 0.0781 | |
Third iteration | 1.891 × 10−6 | 1.915 × 10−6 | 4.6 × 10−5 |
Structural Parts | The Second Step | The First Step | Change Ratio | |
---|---|---|---|---|
displacement (mm) | the first part | 69.94 | 69.93 | 1.4/10,000 |
the third part | 44.52 | 44.74 | −5/1000 | |
stress (MPa) | the first part | 106.56 | 106.55 | 1/10,000 |
the third part | 98.56 | 98.71 | −1.5/1000 | |
stress ratio | the first part | 0.3917 | 0.3916 | 2.5/10,000 |
the third part | 0.6482 | 0.6493 | −1.5/1000 |
No Iteration | Once Pre-Deformation Adjustment | The Dynamic Adjustment of the Node Co-Ordinates | Rate of Change of the Former | Rate of Change of the Latter | The Number of the Node/Element | |
---|---|---|---|---|---|---|
error of coordinate | 71.6 | 0.0011 | 0.0051 | —— | —— | 11,796 |
displacement (mm) | 71.6 | 69.9 | 68.32 | 2.40% | 2.30% | 11,796 |
stress (MPa) | 108.3 | 106.51 | 104.81 | 1.65% | 1.60% | 100,394 |
stress ratio | 0.6503 | 0.6496 | 0.6475 | 0.11% | 0.32% | 111,297 |
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Wang, Y.; Dai, K.; Ju, J. Study on Inverse Analysis Technique Considering Influence of Construction Procedure on Performance of Large-Span Steel Latticed Arch. Buildings 2024, 14, 232. https://doi.org/10.3390/buildings14010232
Wang Y, Dai K, Ju J. Study on Inverse Analysis Technique Considering Influence of Construction Procedure on Performance of Large-Span Steel Latticed Arch. Buildings. 2024; 14(1):232. https://doi.org/10.3390/buildings14010232
Chicago/Turabian StyleWang, Yimin, Kangxi Dai, and Jinsan Ju. 2024. "Study on Inverse Analysis Technique Considering Influence of Construction Procedure on Performance of Large-Span Steel Latticed Arch" Buildings 14, no. 1: 232. https://doi.org/10.3390/buildings14010232