Abstract

HCF risk assessment for turbomachinery blades requires the prediction of vibratory levels, which in turn requires fine damping quantification. This issue is especially sensitive for structures with low structural damping such as monobloc centrifugal compressor disks (blisks). The material composing blisks and aero-dynamic flow both contribute to damping phenomena. A strategy for non-aerodynamic damping characterization is to perform experiments in vacuum. This paper focuses on the use of modal tests in vacuum to estimate material damping under non-rotating conditions. Experiments are performed on an isolated impeller manufactured from a single piece in a vacuum chamber at different air pressure levels ranging from 10 mbar to 1 bar. Strong dependency of damping ratios on pressure can be found on the first flexural mode, leading to two types of application. Firstly, measurements enable assessing the validity of extrapolations of non-aerodynamic damping from measurements sometimes performed under less thorough vacuum conditions. Basic fluid-structure interaction models are used to interpret and quantify the evolution of modal quantities when air is progressively removed. Secondly, vacuum measurements can give frequency response functions (FRFs) with much greater separation between resonance peaks. In this study, the damping ratio found in vacuum condition are 3% of these at ambient pressure corresponding to a magnitude 30dB higher at resonance peaks. This contrasts with in-air measurements on cyclic symmetry structures, like blisks, with high modal density that make the direct interpretation of FRFs and their modal analysis more difficult.

Highlights

  • Turbomachinery blade vibration damping results from several energy dissipation phenomena

  • Three energy transfer paths can be distinguished for the most general cases of mechanical systems immersed in a fluid [1]: ”fluid damping due to fluid drag, viscous dissipation and radiation to the surrounding fluid”; ”internal material damping due to yielding, heating . . . and internal energy dissipation of materials”; ”structural damping due to friction, impact, scraping and the motion of fluid trapped in a joint”

  • We focus on material damping assessment

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Summary

INTRODUCTION

Turbomachinery blade vibration damping results from several energy dissipation phenomena. D 2π U η is subjected to estimates varying from 0.00104% to 1.7% for a twisted titanium alloy plate as a function of the mode tested, the stress level and the presence or absence of air; in vacuum, the range of values ranged from 0.00104% to 0.051% [5]. Such disparities have been observed in the literature and in studies of axial compressor blisks in unpublished works. It is shown that levels at resonance of 1st flexural modes while testing at 10mbars are 30 dB higher, with damping ratios 30 times lower, compared to results obtained at ambient pressure

PRINCIPLE OF VIBRATORY MEASUREMENTS IN VACUUM
Experimental quantification of material damping
Frequencies and damping ratios
Comparison with other available data
CONCLUSIONS AND PROSPECTS
Methods for Unconstrained Optimization and Nonlinear
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