调谐质量阻尼器的优化分析
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摘要
本文根据双自由度系统的随机反应,推导了设置调谐质量阻尼器(TMD)的单自由度系统的运动方程,求出了白噪声基底输入时,设置TMD的单自由度系统的反应方差与未设置TMD的单自由度系统的反应方差之比,并采用模式搜索法对其进行优化方法,得到了TMD系统的最佳减振效果以及相应的TMD的参数取值。本文的分析表明,TMD系统对减小白噪声基底输入的单自由度系统的随机反应是十分有效的。
In this paper, the equations of motion are derived for a single-degree-of-freedom system with a tuned mass damper (TMD). The ratio of the response standard deviation of the system with TMD to the response standard deviation of system without TMD is determined. The smallest values of the ratio and corresponding TMD parameters are established by using an optimization program. It is demonstrated that the TMD is quite effective in reducing the random response of a single - degree - freedom system under white noise base excitation.
In this paper, the equations of motion are derived for a single-degree-of-freedom system with a tuned mass damper (TMD). The ratio of the response standard deviation of the system with TMD to the response standard deviation of system without TMD is determined. The smallest values of the ratio and corresponding TMD parameters are established by using an optimization program. It is demonstrated that the TMD is quite effective in reducing the random response of a single - degree - freedom system under white noise base excitation.
引文
1 Den Hartong, Mechanical Vibration, McGraw-Hill Book Company, 1956
2 Grandal, S.H., Random Vibration in Mechanical Systems, Academic Press, 1963
3 Wirsching, P.H., Minimizing Structural Response under Random Excitation Using the Vibration Absorbers,EESD Vol.2, 1974, 303-312
4 林均岐,地震波输入结构振动的调谐质量阻尼器控制.国家地震局工程力学研究所硕士论文,1989
5 万耀青等.最优化计算方法常用程序汇编.工人出版社,1983
2 Grandal, S.H., Random Vibration in Mechanical Systems, Academic Press, 1963
3 Wirsching, P.H., Minimizing Structural Response under Random Excitation Using the Vibration Absorbers,EESD Vol.2, 1974, 303-312
4 林均岐,地震波输入结构振动的调谐质量阻尼器控制.国家地震局工程力学研究所硕士论文,1989
5 万耀青等.最优化计算方法常用程序汇编.工人出版社,1983
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