Nonlinear dynamic analysis with an uncertain computational model for mistuned bladed disks

Abstract : This paper deals with the dynamical analysis and uncertainty quantification of a mistuned industrial rotating integrally bladed disk, for which the operating regime under consideration takes into account the nonlinear geometric effects induced by large displacements and deformations. First, a dedicated mean nonlinear reduced-order model of the tuned structure is explicitly constructed using three-dimensional solid finite elements. The random nature of the mistuning is then modeled by using the nonparametric probabilistic approach extended to the nonlinear geometric context. A stochastic reduced-order model is then obtained, which leads for solving a reasonable number of uncertain nonlinear coupled differential equations in the time domain.Such a computational strategy provides an efficient tool, which is applied to a computational model of an industrial centrifugal compressor with a large number of degrees of freedom. This allows for putting in evidence some new complex dynamical behaviors. Indeed, some complex mechanisms can be observed for the energy transfer through both geometric nonlinearities and mistuning uncertainties outside the frequency band of excitation. A careful and detailed analysis is carried out because unexpected dangerous situations, which can alter the life duration of the bladed disks, can potentially exist.
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Evangéline Capiez-Lernout, Christian Soize, Moustapha Mbaye. Nonlinear dynamic analysis with an uncertain computational model for mistuned bladed disks . The 22st International Congress on Sound and Vibration (ICSV22), International Institute of Acoustics and Vibration (IIAV), Jul 2015, Florence, Italy. pp.1-8. ⟨hal-01192566⟩

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