Title: Statistical approximations of vibration power flow for complex structures with uncertainties

Authors: Soo-Yeol Lee, Matthew P. Castanier, Christophe Pierre

Addresses: Advanced Technology Center, General Motors Corporation, Torrance, CA 90505, USA. ' Department of Mechanical Engineering, The University of Michigan, 2279 G.G. Brown Building, Ann Arbor, MI 48109-2125, USA. ' Faculty of Engineering, McGill University, Montreal, QC H3A 2K6, Canada

Abstract: In this paper, an efficient approach is presented for probabilistic power flow analysis of complex structures with parameter uncertainties. A component-based technique is used to generate Reduced-Order Models (ROMs) of low- to mid-frequency vibration and power flow. Using this framework, two techniques are employed for probabilistic vibration power flow analysis: (1) a Locally Linear Interpolation (LLI) method, which is a new response surface construction method that has been specifically developed for probabilistic vibration analysis and (2) the Advanced Mean Value (AMV) method, which is a more general technique from the reliability literature. The advantages and limitations of the LLI method are examined and compared to those of the AMV method with respect to probabilistic power flow analysis. Numerical results are shown for a simple example system, an L-shaped plate, and for an important engineering application, a ground vehicle structure.

Keywords: response surface methodology; RSM; vibration analysis; power flow analysis; component mode synthesis; CMS; complex structures; uncertainty; reduced-order models; probabilistic analysis; reliability; ground vehicle structures; statistical approximation.

DOI: 10.1504/IJRS.2007.014965

International Journal of Reliability and Safety, 2007 Vol.1 No.3, pp.260 - 289

Published online: 28 Aug 2007 *

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