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Review Article

Dynamic Modeling and Projection-Based Reduction Methods for Bladed Disks with Nonlinear Frictional and Intermittent Contact Interfaces

[+] Author and Article Information
Mainak Mitra

Department of Mechanical Engineering, University of Michigan, Ann Arbor, Michigan 48109
mitram@umich.edu

Bogdan I. Epureanu

Department of Mechanical Engineering, University of Michigan, Ann Arbor, Michigan 48109
epureanu@umich.edu

1Corresponding author.

ASME doi:10.1115/1.4043083 History: Received July 14, 2018; Revised February 07, 2019

Abstract

Turbine bladed disks or blisks, which constitute critical components of most modern turbomachinery, are known for their complex vibratory behavior. The nonlinear dynamics observed in most operational regimes of blisk with contact interfaces are dominated by one of two typical contact behaviors. Frictional contacts are dominated by Coulomb friction forces, while intermittent contacts are characterized by multiple separation events. Other factors such as the dispersion in material or geometric properties across blades, known as mistuning, also affect the dynamics significantly. Presently, probabilistic analysis is the widely accepted design methodology to account for mistuning, which is unknown prior to manufacture. Thus, reduced order modeling of these blisks is essential as high fidelity models are prohibitively expensive for such simulations. This paper provides a technical discussion of dynamic modeling and reviews projection-based techniques used for creation of reduced models of blisks with contacts.

Copyright (c) 2019 by ASME; reuse license CC-BY 4.0
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