多自由度复杂结构的TMD调谐减震控制研究
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摘要
给出多自由度复杂结构中调谐减震控制TMD的有效设计方法。通过分析发现简谐基底激励作用下的TMD最优参数并非减震控制的最佳选择,主要区别是减震控制时TMD的最优阻尼比要显著小于简谐基底激励下的最优阻尼比。在随机地震激励下给出用于确定减震控制TMD最优参数的方法。据此进行了三相叠积电抗器的减震TMD设计,确定了最优减震参数,通过分析实际地震波作用下的结构响应,表明所设计的TMD在地震动作用下对三相叠积电抗器有十分明显的减震效果,证实用本文方法可以有效地对多自由度复杂结构设计TMD进行减震控制。
An effective TMD design method is suggested to control the seismic responses of multi degree of freedom complex structures. According to the seismic responses analysis with detuning on some of the TMD parameters, it is shown that the optimum TMD parameters under the harmonic base excitation are not the exact optimization for seismic protection. A numerical approach is presented to solve the optimum TMD parameters under the seismic random excitations. Then the optimal TMD of a series reactor is designed effectively. The control effect analysis verifies that the designed TMD is able to reduce the seismic responses of the series reactor significantly, and the presented approach is effective in TMD design for seis-mic protection of many degree of freedom complex structures.
An effective TMD design method is suggested to control the seismic responses of multi degree of freedom complex structures. According to the seismic responses analysis with detuning on some of the TMD parameters, it is shown that the optimum TMD parameters under the harmonic base excitation are not the exact optimization for seismic protection. A numerical approach is presented to solve the optimum TMD parameters under the seismic random excitations. Then the optimal TMD of a series reactor is designed effectively. The control effect analysis verifies that the designed TMD is able to reduce the seismic responses of the series reactor significantly, and the presented approach is effective in TMD design for seis-mic protection of many degree of freedom complex structures.
引文
[1]王均刚,马汝建,赵东,等.TMD振动控制结构的发展及应用[J].济南大学学报,2006,20(2):172-175.
[2]Kwon Ho-Chul,Kim Man-Cheol,Lee In-won.Vibration con-trol of bridges under moving loads[J].Computers&Struc-tures,1998,66(4):473-480.
[3]Jo Byung-Wan,Tae Ghi-Ho,Lee Du-Wha.Structural vibra-tion of tuned mass damper-installed three-span steel box bridge[J].International Journal of Pressure Vessels and Piping,2001,78:667-675.
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[5]吴存利,冷小磊,方同.随机结构地震响应的TMD控制[J].西北工业大学学报,2006,25(2):311-314.
[6]丁文镜.减振理论[M].北京:清华大学出版社,1988.
[7]张可村.工程优化的算法与分析[M].西安:西安交通大学出版社,1990.
[8]欧进萍,王光远.结构随机振动[M].北京:高等教育出版社,1990.
[2]Kwon Ho-Chul,Kim Man-Cheol,Lee In-won.Vibration con-trol of bridges under moving loads[J].Computers&Struc-tures,1998,66(4):473-480.
[3]Jo Byung-Wan,Tae Ghi-Ho,Lee Du-Wha.Structural vibra-tion of tuned mass damper-installed three-span steel box bridge[J].International Journal of Pressure Vessels and Piping,2001,78:667-675.
[4]唐时军,唐驾时,欧耀辉.竖向地震作用下的结构TMD控制分析[J].湖南理工学院学报:自然科学版,2006,19(3):60-63.
[5]吴存利,冷小磊,方同.随机结构地震响应的TMD控制[J].西北工业大学学报,2006,25(2):311-314.
[6]丁文镜.减振理论[M].北京:清华大学出版社,1988.
[7]张可村.工程优化的算法与分析[M].西安:西安交通大学出版社,1990.
[8]欧进萍,王光远.结构随机振动[M].北京:高等教育出版社,1990.
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