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含时滞振动主动控制系统地震响应的数值分析

Numerical analysis on seismic response of active control system with time delays

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【作者】 朱宏张斌孙清

【Author】 ZHU Hong1,ZHANG Bin2,SUN Qing3 (1.Gansu Civil Engineering Research Institute,Lanzhou 730020,China; 2.Henan Electric Power Survey & Design Institute,Zhengzhou 450007,China; 3.Department of Civil Engineering,Xi’an Jiaotong University,Xi’an 710049,China)

【机构】 甘肃省土木工程科学研究院河南省电力勘测设计院西安交通大学土木工程系

【摘要】 采用精细积分方法计算了时滞受控系统在地震作用下的动力响应,得到在不同反馈增益下随时滞量变化的系统地震响应峰值分布。分析了在小时滞范围内随时滞量变化和反馈增益在不同的取值下对系统响应的影响,结果表明时滞对系统控制效果的影响程度随反馈增益的增大而增大,当时滞较大时,采用较小的控制增益控制效果较好,当时滞较小时,采用较大的控制增益可以获得更好的控制效果。该结果可用于设计考虑时滞影响的结构振动主动控制算法。

【Abstract】 A kind of dynamic equation of control system with double time delays was solved by a modified precise integration method.The accuracy of the method was proved by numerical examples in which time histories of system response and the distribution of response peaks of the system with variational time delays were calculated when feedback control gains take different values.The influences of different values of time delays and feedback control gains on the distribution of stable areas of the system were investigated.The influences of different feedback gains and variational time delays on system response were analysed,which shows that the influence of time delays gets more distinct as feedback gains increase.The result is of certain guiding significance for designing active structural vibration control algorithm considering the influence of time delay.

【基金】 国家自然科学基金资助项目(10772141,11172226)
  • 【文献出处】 振动与冲击 ,Journal of Vibration and Shock , 编辑部邮箱 ,2013年06期
  • 【分类号】TU311.3
  • 【被引频次】2
  • 【下载频次】71
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