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Cheng Su, Seminar, Mar. 30, 2016

Published: March 31, 2016

An explicit time-domain approach for random vibration of large complex structures



TIME: March 30, 2016

PRESENTER: Cheng Su, South China University of Technology

LOCATION: 4F, Building 2

TYPE: Seminar


Abstract:

Probabilistic evolution mechanism plays an important role in structural random vibration analysis, which is closely associated with the inherent effects of the physical evolution mechanism of the system. Therefore, both sets of mechanism should be considered properly in random vibration analysis of structures. In this study, detailed discussions are presented on how the two sets of mechanism are organized in different analytical methods, including the power spectral evolution methods, moment evolution methods and probability density evolution methods as well. In particular, specific attention is paid to the coupling and/or uncoupling treatment as to the physical mechanism and the probabilistic evolution considered in different methods. It has been observed that the uncoupling treatment approach, e.g., the explicit time-domain approach, will lead to a real-sense dimensional reduction in terms of degrees of freedoms and time instants involved in random vibration analysis of structures. Engineering applications to complex high-rise buildings and long-span bridges are presented to show the high efficiency of the explicit time-domain method due to the uncoupling treatment of the physical mechanism and the probabilistic evolution in structural random vibration analysis. Furthermore, the present approach can also be applied efficiently to the nonlinear random vibration problems of large complex systems in conjunction with the quasi-linear techniques or the equivalent linearization method. Numerical examples and engineering applications are also presented to illustrate the feasibility of the explicit time-domain approach for nonlinear problems.



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