Stochastic response of flexible rotor-bearing system to seismic excitations |
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| Authors: | Ki Bong Kim Jann N Yang YK Lin |
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| Affiliation: | 1. State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, China;2. Zienkiewicz Centre for Computational Engineering, Swansea University, UK;1. KU Leuven, Department of Mechanical Engineering, Technology campus De Nayer, Jan De Nayerlaan 5, St.-Katelijne-Waver, Belgium;2. Institute for Risk and Reliability, Leibniz Universität Hannover, Callinstr. 34, Hannover 30167, Germany;3. Faculty of Engineering and Sciences, Universidad Adolfo Ibáñez, Av. Padre Hurtado 750, Viña del Mar 2562340, Chile;4. School of Aerospace Engineering, Xiamen University, Xiamen 361005, P.R. China;5. School of Mechanics, Civil Engineering and Architecture, Northwestern Polytechnical University, Xi’an 710072, China;6. Institute for Risk and Uncertainty and School of Engineering, University of Liverpool, Peach Street, Liverpool L69 7ZF, UK;7. International Joint Research Center for Engineering Reliability and Stochastic Mechanics, Tongji University, 1239 Siping Road, Shanghai 200092, P.R. China |
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| Abstract: | Random vibration analysis of flexible rotor-bearing systems subjected to six-component nonstationary earthquake ground accelerations is carried out. The rotor system consists of several rigid disks and a flexible shaft that is modelled as a Timoshenko beam. The governing equations of motion involve both inhomogeneous random excitations and random parametric excitations. Analytically, the Markov vector approach using the Ito equation and Stratonovich averaging procedures is employed to determine the response statistics. Unfortunately, the second moments of the response quantities thus obtained involve a great discrepancy when compared with the results of Monte Carlo simulation. The difficulty involved in analytically solving such a complicated problem is pointed out. Currently, the method of Monte Carlo simulation appears to be the only practical approach for such a problem. The significant influence of the seismic base rotations and the flexibility of the rotor-bearing system on the overall dynamic structural response is demonstrated by a numerical example. |
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