Analysis of the vibration localization phenomenon in rotationally periodic structures using a homogenized model

P. Bisegna; G. Caruso

doi:10.1117/12.715575

27 April 2007 Analysis of the vibration localization phenomenon in rotationally periodic structures using a homogenized model

P. Bisegna, G. Caruso

Author Affiliations +

Proceedings Volume 6525, Active and Passive Smart Structures and Integrated Systems 2007; 65251G (2007) https://doi.org/10.1117/12.715575
Event: SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring, 2007, San Diego, California, United States

Abstract

Rotationally periodic structures, like turbine, bladed disks, stators and rotors of electric machinery or satellite antennae, play a very important role in many fields of the technology. It is well known that when even small structural imperfections are present, destroying the perfect periodicity of the structure, each couple of degenerate modal frequencies splits into two different values (mistuning) and the corresponding modal shapes exhibit peaks of vibration amplitude (localization phenomenon). In this paper, a continuous model describing the in-plane vibrations of an imperfect bladed rotor is derived via the homogenization theory and is applied to the analysis of the localization phenomenon. Imperfections are modeled as perturbations of the geometrical dimensions and material characteristics of some blades, and a perturbation approach is adopted in order to find out the split eigenfrequencies and eigenmodes of the imperfect structure. Numerical simulations show that the proposed model is suitable and effective for the identification and analysis of the localization phenomenon, requiring much lower computational effort than classical finite element models.

Citation Download Citation

P. Bisegna and G. Caruso "Analysis of the vibration localization phenomenon in rotationally periodic structures using a homogenized model", Proc. SPIE 6525, Active and Passive Smart Structures and Integrated Systems 2007, 65251G (27 April 2007); https://doi.org/10.1117/12.715575

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KEYWORDS

Bismuth

Homogenization

Numerical simulations

Finite element methods

Satellites

Computing systems

Smart structures

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