Optimal Design of Formulas for a Single Degree of Freedom Tuned Mass Damper Parameter Using a Genetic Algorithm and
Seunggoo Kim1, Donwoo Lee1, Seungjae Lee1
1School of Industrial Design & Architectural Engineering, Korea University of Technology & Education, 1600 Chungjeol-ro, Byeongcheon-myeon, Cheonan 31253, Republic of Korea.
Biomimetics (Basel, Switzerland)
|August 28, 2024
Summary
This study introduces an explicit formula derived using a genetic algorithm (GA) to optimize tuned mass damper (TMD) parameters for seismic vibration control in structures. The new method efficiently determines optimal TMD settings, enhancing structural safety and performance.
Area of Science:
- Structural Engineering
- Mechanical Engineering
- Computational Mechanics
Background:
- Controlling dynamic structural behavior is crucial in structural engineering.
- Tuned Mass Dampers (TMDs) are effective for vibration control, but optimal parameter determination remains a challenge.
- Existing numerical techniques for TMD optimization can be complex and computationally intensive.
Purpose of the Study:
- To develop a novel explicit formula for deriving optimal TMD parameters for single-degree-of-freedom (SDOF) structures under seismic loads.
- To utilize a genetic algorithm (GA) for optimizing TMD parameters.
- To minimize the overall vibration energy of the structure.
Main Methods:
- Development of an explicit formula for optimal TMD parameters using MATLAB's curve fitting toolbox.
- Application of a genetic algorithm (GA) for parameter optimization.
- Utilizing state-space models and H2 norm functions to identify optimal frequency and damping ratios.
- Verification through multidimensional performance analysis and application to multi-degree-of-freedom (MDOF) structures.
Main Results:
- A new explicit formula for optimal TMD parameters was successfully developed and validated.
- The proposed formula demonstrated excellent performance when applied to both SDOF and MDOF structures.
- The GA-based approach effectively minimized structural vibration energy under seismic conditions.
Conclusions:
- The developed explicit formula offers an efficient and effective method for determining optimal TMD parameters.
- This research provides a new direction for vibration control using GA-optimized TMDs.
- The findings have significant implications for improving the seismic performance of various structures.
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