Substructuring stability analysis in light of comprehensive transfer system dynamics |
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| Authors: | Zhenyun Tang Matt Dietz Zhenbao Li |
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| Institution: | 1.Beijing Key Lab of Earthquake Engineering and Structural Retrofit,Beijing University of Technology,Beijing,China;2.Department of Civil Engineering,University of Bristol,Bristol,UK |
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| Abstract: | Real-time dynamic substructuring (RTDS) is an experimental technique that splits the structure under test into coupled parts that run in parallel. The structural component exhibiting unpredictable behaviour is tested in the laboratory while the remainder of the structure is modelled numerically. As the test proceeds, the dynamic force state at the physical–numerical interface is measured and a transfer system, usually a servo-hydraulic actuator or shaking table, is used to impose the commensurate response on the physical substructure. The integral dynamics of servo-hydraulic transfer systems can frustrate RTDS implementation by destabilising the system. Many have noted the deleterious stability implications of excessive phase lag in terms of a pure time-delay. However, because of the existence of magnitude variations and more complex phase characteristics, pure time-delay is too simple to represent the inherent nature of servo-hydraulic transfer systems. This paper considers RTDS stability in light of comprehensive transfer system dynamics. A transfer-function model of a servo-hydraulic transfer system is adopted and used to reflect the oversimplification of pure time-delay. The concept of gain margin is employed to reveal the drawbacks of the pure-delay based RTDS stability analyses. In order to overcome the drawbacks, a new method based on gain margin was developed. The comparative analyses demonstrate that the gain margin based method is tailored to predict the stability boundaries of a RTDS system incorporating comprehensive transfer system dynamics. The validity of the technique is verified experimentally through virtual and authentic RTDS system employing a shaking table. The performance of delay compensated shaking table RTDS is also assessed in perspective of stability. |
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