含Maxwell阻尼的建筑结构振动混合控制研究
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摘要
当地震作用于建筑物时,其输入能量,一部分转化为动能,一部分转化为结构的变形能,其余能量被阻尼耗散掉,为了降低结构振动主动控制所需激振器的作用力和增大结构的变形能,采用了Maxwell阻尼器。建立在拉格朗日第二类方程的基础上,推导了含Maxwell阻尼器及激振器的振动方程,同时还对不同松弛时间进行了结构响应分析。在控制方法方面,考虑到模型的不精确及地震波的高随机性,引入了广义预测控制。最后给出了一个计算实例。
In a building exposed to an earthquake event a part of the input energy will be converted to kinetic energy another part stored as potential energy due to elastic deformations and the remaining part dissipated by inherent damping. In the paper the Maxwell dampers are used to abbreviate the exerted actuator force in active vibration control system and increase the structural deformation energy. Based on the second Lagrange's equations the vibration equations with Maxwell dampers and actuators are presentedmeanwhilethe structural responses analysis are done under different relaxation times. In the aspect of control approach the generalized predictive control is utilized to realize the structure control when the model's uncertainty and high randomness of earthquake wave are considered. A numerical example is presented.
In a building exposed to an earthquake event a part of the input energy will be converted to kinetic energy another part stored as potential energy due to elastic deformations and the remaining part dissipated by inherent damping. In the paper the Maxwell dampers are used to abbreviate the exerted actuator force in active vibration control system and increase the structural deformation energy. Based on the second Lagrange's equations the vibration equations with Maxwell dampers and actuators are presentedmeanwhilethe structural responses analysis are done under different relaxation times. In the aspect of control approach the generalized predictive control is utilized to realize the structure control when the model's uncertainty and high randomness of earthquake wave are considered. A numerical example is presented.
引文
1黄斌,刘晖.智能TM D对高层建筑风振响应的抑制.振动与冲击,2003,22(4):58—61
2李春祥.基于M axw ell型阻尼器的多重调谐质量阻尼器性能评价.地震工程与工程振动,2004,24(2):141—144
3Shukla A K,D atta T K.A nalysis of building fram es with vi-scoelastic dam pers under base excitation[J].Structural Engi-neering and M echanics.2001,11(1):71—87
4R ossikhin Y A,Shitikova M V.A nalysis of building fram es w ith viscoelastic dam pers under base excitation[J].Internatio-nal Journal of Engineering Science.2001,39(2):149—176
5Zhang W S,X u Y L.V ibration analysis of tw o buildings lin-ked by M axw ell m odel-defined fluid dam pers[J].Journal of Sound and V ibration.2002,233(5):775—796
6M ahendra P S,N avin P V,Luis M M.Seism ic analysis and design w ith M axw ell dam pers[J].Journal of E ngineering M ec-hanics[J],2003,129(3):273—282
7F Lopez-A lm ansa.M odel predictive control of structures.Ⅰ:form ulation[J].Journal of E ngineering M echanics,1994,120(8):1743—1760
8F Lopez-A lm ansa.M odel predictive control of structures.Ⅱ:im plem entation[J].Journal of E ngineering M echanics,1994,120(8):1761—1772
2李春祥.基于M axw ell型阻尼器的多重调谐质量阻尼器性能评价.地震工程与工程振动,2004,24(2):141—144
3Shukla A K,D atta T K.A nalysis of building fram es with vi-scoelastic dam pers under base excitation[J].Structural Engi-neering and M echanics.2001,11(1):71—87
4R ossikhin Y A,Shitikova M V.A nalysis of building fram es w ith viscoelastic dam pers under base excitation[J].Internatio-nal Journal of Engineering Science.2001,39(2):149—176
5Zhang W S,X u Y L.V ibration analysis of tw o buildings lin-ked by M axw ell m odel-defined fluid dam pers[J].Journal of Sound and V ibration.2002,233(5):775—796
6M ahendra P S,N avin P V,Luis M M.Seism ic analysis and design w ith M axw ell dam pers[J].Journal of E ngineering M ec-hanics[J],2003,129(3):273—282
7F Lopez-A lm ansa.M odel predictive control of structures.Ⅰ:form ulation[J].Journal of E ngineering M echanics,1994,120(8):1743—1760
8F Lopez-A lm ansa.M odel predictive control of structures.Ⅱ:im plem entation[J].Journal of E ngineering M echanics,1994,120(8):1761—1772
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