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基于遗传算法和H范数的单自由度调谐质量阻尼器参数公式的优化设计

Optimal Design of Formulas for a Single Degree of Freedom Tuned Mass Damper Parameter Using a Genetic Algorithm and H Norm.

作者信息

Kim Seunggoo, Lee Donwoo, Lee Seungjae

机构信息

School of Industrial Design & Architectural Engineering, Korea University of Technology & Education, 1600 Chungjeol-ro, Byeongcheon-myeon, Cheonan 31253, Republic of Korea.

出版信息

Biomimetics (Basel). 2024 Jul 24;9(8):450. doi: 10.3390/biomimetics9080450.

DOI:10.3390/biomimetics9080450
PMID:39194430
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC11351443/
Abstract

One of the researchers' concerns in structural engineering is to control the dynamic behavior of structures efficiently. The TMD (tuned mass damper) is one of the effective methods of controlling the vibration of structures, and various numerical techniques have been proposed to find the optimal parameters of the TMD. This paper develops a new explicit formula to derive the optimal parameters of the TMD of a single degree of freedom (SDOF) structure under seismic load using a genetic algorithm (GA). In addition, the state-space model and the H norm function are used to identify the optimal frequency ratio and damping ratio of the TMD that minimize the overall vibration energy of the structure. The MATLAB curve fitting toolbox is used for the explicit formula proposal, and the validity of the proposed formula is verified through multidimensional performance verification technique. Finally, the TMD parameters of the SDOF structure are applied to the multi-degrees of freedom (MDOF) structure to compare and analyze with the existing research results, and the results of the explicit formula proposed in this paper are confirmed to be excellent. This paper can suggest a new direction for determining the optimal TMD parameters using a GA and can be effectively applied to vibration control problems of various structures.

摘要

结构工程领域研究人员关注的问题之一是有效控制结构的动力行为。调谐质量阻尼器(TMD)是控制结构振动的有效方法之一,人们已经提出了各种数值技术来寻找TMD的最优参数。本文提出了一种新的显式公式,利用遗传算法(GA)推导地震作用下单自由度(SDOF)结构TMD的最优参数。此外,利用状态空间模型和H范数函数来确定TMD的最优频率比和阻尼比,以使结构的整体振动能量最小化。使用MATLAB曲线拟合工具箱来提出显式公式,并通过多维性能验证技术验证所提公式的有效性。最后,将单自由度结构的TMD参数应用于多自由度(MDOF)结构,并与现有研究结果进行比较分析,证实了本文提出的显式公式的结果非常出色。本文可为利用遗传算法确定TMD最优参数提供新的方向,并能有效应用于各种结构的振动控制问题。

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