Human-Induced Vibration Control of Floor Structures Using MTMD System Optimized by MATLAB-SAP2000 Interface
Abstract
:1. Introduction
2. Matlab–SAP2000 Interface
2.1. SAP2000-API
2.2. MATLAB-SAP2000 Interface
3. Parameter Optimization Algorithm of MTMD
3.1. Artificial Fish Warm Algorithms
3.2. Parameter Optimization Based on the Interface and AFSA
4. SDOF System Verification
4.1. Model Introduction
4.2. Parameter Optimization of TMD
5. Case Study
5.1. Case Introduction
5.2. Conventional Design Method
5.3. Proposed Design Method
5.4. Comparison of the Control Effect
6. Conclusions
- (1)
- Through a SDOF main structure, it has been verified in this section that the proposed AFSA-based multi-objective optimization algorithm for TMD using the developed MATLAB-SAP2000 interface has the advantages of good convergence, fast convergence speed, and high precision. The proposed method obtains an optimized TMD almost the same as the TMD from the Warburton formulas.
- (2)
- For a full-scale floor structure, the proposed method obtains an optimized MTMD system, and the iterative process has a good convergence as well.
- (3)
- During the conventional design, the simplification and neglect of the modal information of the floor structure will bring bias to the parameter design of MTMD and reduce its control effect, while the developed MATLAB-SAP2000 interface can solve this problem perfectly. Further, the proposed AFSA-based multi-objective optimization algorithm for MTMD can improve its control effect as well.
- (4)
- The proposed optimization method can improve the control effect and robustness of MTMD to a great degree compared to the conventional design method. In a further study, the application of a semi-active MTMD system in the 3D finite element model directly using the developed interface is worthy of investigation.
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
References
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Mode | Frequency (Hz) | Mode Mass Participation Coefficients in the Vertical Direction (%) |
---|---|---|
1 | 2.18 | 36.02 |
4 | 2.20 | 7.83 |
15 | 2.91 | 7.32 |
16 | 2.93 | 1.57 |
TMD Type | Modal Participating Mass (t) | Mass Ratio (%) | Frequency (Hz) | Damping Ratio (%) | Mass (t) | Number | Total Mass (t) |
---|---|---|---|---|---|---|---|
TMD-I | 3661 | 0.22 | 2.17 | 2.86 | 4 | 2 | 8 |
TMD-II | 796 | 1.01 | 2.19 | 6.06 | 2 | 4 | 8 |
TMD-III | 904 | 0.88 | 2.88 | 5.67 | 2 | 4 | 8 |
TMD Type | Parameters | Initial Step | Step 10 | Step 50 | Step 100 | Step 200 | Step 300 |
---|---|---|---|---|---|---|---|
TMD-I | Frequency (Hz) | 1.911 | 2.052 | 2.048 | 2.048 | 2.048 | 2.048 |
Damping ratio (%) | 7.83 | 7.70 | 8.76 | 9.31 | 9.31 | 9.31 | |
TMD-II | Frequency (Hz) | 2.651 | 2.228 | 1.945 | 2.082 | 2.082 | 2.082 |
Damping ratio (%) | 0.93 | 1.38 | 1.61 | 1.48 | 1.48 | 1.48 | |
TMD-III | Frequency (Hz) | 2.691 | 2.686 | 2.903 | 2.881 | 2.881 | 2.881 |
Damping ratio (%) | 4.92 | 5.48 | 6.64 | 7.10 | 7.10 | 7.10 |
TMD Type | Frequency (Hz) | Damping Ratio (%) | Mass (t) | Number | Total Mass (t) |
---|---|---|---|---|---|
TMD-I | 2.048 | 9.31 | 4 | 2 | 8 |
TMD-II | 2.082 | 1.48 | 2 | 4 | 8 |
TMD-III | 2.881 | 7.10 | 2 | 4 | 8 |
Joint | Acceleration (cm/s2) | Joint | Acceleration (cm/s2) | ||||
---|---|---|---|---|---|---|---|
Uncontrolled | Conventional Design | Optimized Design | Uncontrolled | Conventional Design | Optimized Design | ||
1 | 5.53 | 3.26 | 3.14 | 6 | 4.91 | 3.14 | 2.98 |
2 | 12.17 | 6.11 | 4.39 | 7 | 5.11 | 4.39 | 3.33 |
3 | 16.29 | 8.24 | 6.13 | 8 | 6.54 | 5.56 | 4.30 |
4 | 14.41 | 7.19 | 4.97 | 9 | 4.91 | 4.37 | 3.53 |
5 | 5.19 | 3.39 | 3.29 | 10 | 4.40 | 3.14 | 2.98 |
Joint | Reduction (%) | Joint | Reduction (%) | ||
---|---|---|---|---|---|
Conventional Design | Optimized Design | Conventional Design | Optimized Design | ||
1 | 41.05 | 43.22 | 6 | 36.05 | 39.31 |
2 | 49.79 | 63.93 | 7 | 14.09 | 34.83 |
3 | 49.42 | 62.37 | 8 | 14.98 | 34.25 |
4 | 50.10 | 65.51 | 9 | 11.00 | 28.11 |
5 | 34.68 | 36.61 | 10 | 28.64 | 32.27 |
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Zhang, Q.; Shi, W.; Wang, Y. Human-Induced Vibration Control of Floor Structures Using MTMD System Optimized by MATLAB-SAP2000 Interface. Buildings 2024, 14, 308. https://doi.org/10.3390/buildings14020308
Zhang Q, Shi W, Wang Y. Human-Induced Vibration Control of Floor Structures Using MTMD System Optimized by MATLAB-SAP2000 Interface. Buildings. 2024; 14(2):308. https://doi.org/10.3390/buildings14020308
Chicago/Turabian StyleZhang, Quanwu, Weixing Shi, and Yanze Wang. 2024. "Human-Induced Vibration Control of Floor Structures Using MTMD System Optimized by MATLAB-SAP2000 Interface" Buildings 14, no. 2: 308. https://doi.org/10.3390/buildings14020308