The random character of blade mistuning is a motivation to construct probability models of random uncertainties. Recently, a new approach known as a nonparametric model of random uncertainties, based on the entropy optimization principle, was introduced for modeling random uncertainties in linear and nonlinear elastodynamics. This paper presents an extension of this nonparametric model for vibration analysis of structures with cyclic geometry. In particular this probability model allows the blade eigenfrequencies uncertainties and the blade-modal-shape uncertainties to be modeled.
Nonparametric Modeling of Random Uncertainties for Dynamic Response of Mistuned Bladed Disks
Contributed by the Structures and Dynamics Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL OF ENGINEERING FOR GAS TURBINES AND POWER. Manuscript received by the S&D Division June 2002; final revision received December 2003. Associate Editor: M. Mignolet.
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Capiez-Lernout, E., and Soize, C. (August 11, 2004). "Nonparametric Modeling of Random Uncertainties for Dynamic Response of Mistuned Bladed Disks ." ASME. J. Eng. Gas Turbines Power. July 2004; 126(3): 610–618. https://doi.org/10.1115/1.1760527
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