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Delay-dependent stability and added damping of SDOF real-time dynamic hybrid testing 被引量:14

Delay-dependent stability and added damping of SDOF real-time dynamic hybrid testing
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摘要 It is well-recognized that a transfer system response delay that reduces the test stability inevitably exists in real-time dynamic hybrid testing (RTDHT). This paper focuses on the delay-dependent stability and added damping of SDOF systems in RTDHT. The exponential delay term is transferred into a rational fraction by the Pad6 approximation, and the delay-dependent stability conditions and instability mechanism of SDOF RTDHT systems are investigated by the root locus technique. First, the stability conditions are discussed separately for the cases of stiffness, mass, and damping experimental substructure. The use of root locus plots shows that the added damping effect and instability mechanism for mass are different from those for stiffness. For the stiffness experimental substructure case, the instability results from the inherent mode because of an obvious negative damping effect of the delay. For the mass case, the delay introduces an equivalent positive damping into the inherent mode, and instability occurs at an added high frequency mode. Then, the compound stability condition is investigated for a general case and the results show that the mass ratio may have both upper and lower limits to remain stable. Finally, a high-emulational virtual shaking table model is built to validate the stability conclusions. It is well-recognized that a transfer system response delay that reduces the test stability inevitably exists in real-time dynamic hybrid testing (RTDHT). This paper focuses on the delay-dependent stability and added damping of SDOF systems in RTDHT. The exponential delay term is transferred into a rational fraction by the Pad6 approximation, and the delay-dependent stability conditions and instability mechanism of SDOF RTDHT systems are investigated by the root locus technique. First, the stability conditions are discussed separately for the cases of stiffness, mass, and damping experimental substructure. The use of root locus plots shows that the added damping effect and instability mechanism for mass are different from those for stiffness. For the stiffness experimental substructure case, the instability results from the inherent mode because of an obvious negative damping effect of the delay. For the mass case, the delay introduces an equivalent positive damping into the inherent mode, and instability occurs at an added high frequency mode. Then, the compound stability condition is investigated for a general case and the results show that the mass ratio may have both upper and lower limits to remain stable. Finally, a high-emulational virtual shaking table model is built to validate the stability conclusions.
出处 《Earthquake Engineering and Engineering Vibration》 SCIE EI CSCD 2010年第3期425-438,共14页 地震工程与工程振动(英文刊)
基金 State Key Laboratory of Hydroscience and Engineering Under Grant No.2008-TC-2 National Natural Science Foundation of China Under Grant No.90510018,50779021 and 90715041
关键词 real-time dynamic hybrid testing root locus analysis delay-dependent stability Pade approximation added damping real-time dynamic hybrid testing root locus analysis delay-dependent stability Pade approximation added damping
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参考文献16

  • 1Blakeborough A,Williams MS,Darby AP and Williams DM (2001),"The Development of Real-time Substructure Testing," Philosophical Transactions of the Royal Society of London,Series A,359(1786):1869-1891.
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