Abstract

Vibration measurements of turbomachinery components are of utmost importance to characterize the dynamic behavior of rotating machines, thus preventing undesired operating conditions. Local techniques such as strain gauges or laser Doppler vibrometers are usually adopted to collect vibration data. However, these approaches provide single-point and generally 1D measurements. The present work proposes an optical technique, which uses two low-speed cameras, a multimedia projector, and three-dimensional digital image correlation (3D-DIC) to provide full-field measurements of a bladed disk undergoing harmonic response analysis (i.e., pure sinusoidal excitation) in the kHz range. The proposed approach exploits a downsampling strategy to overcome the limitations introduced by low-speed cameras. The developed experimental setup was used to measure the response of a bladed disk subjected to an excitation frequency above 6 kHz, providing a deep insight in the deformed shapes, in terms of amplitude and phase distributions, which could not be feasible with single-point sensors. Results demonstrated the system’s effectiveness in measuring amplitudes of few microns, also evidencing blade mistuning effects. A deeper insight into the deformed shape analysis was provided by considering the phase maps on the entire blisk geometry, and phase variation lines were observed on the blades for high excitation frequency.

Highlights

  • The experimental characterization of bladed disks dynamics is a critical task in turbomachinery for avoiding potential resonances and harsh startup and shutdown [1]

  • The developed experimental setup was used to measure the response of a bladed disk subjected to an excitation frequency above 6 kHz, providing a deep insight in the deformed shapes, in terms of amplitude and phase distributions, which could not be feasible with single-point sensors

  • Bladed disks are usually characterized by many vibration modes which need to be recognized and investigated both with Finite Element (FE) analysis and through a dedicated experimental analysis [2]

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Summary

Introduction

The experimental characterization of bladed disks (or blisks) dynamics is a critical task in turbomachinery for avoiding potential resonances and harsh startup and shutdown [1]. FE investigation on blisks efficiently models the nominal vibration modes and their frequencies, regardless of any mistuning, and the FE modal analysis is run to provide the Singh’s Advanced Frequency Evaluation (SAFE) diagram This tool allows one to find the shape matching between the load harmonics and the modes and try to avoid the resonance matches [12]. The 3D-DIC was applied to a bladed disk and the downsampling strategy was adopted to find the deformed shape of this structure, up to the high-frequency range in the order of several kHz. Two low frame-rate cameras, with a fast shutter time, have been assembled in a stereo set-up, and a digital projector has been used to project a structured light pattern, strengthening the stereo matching and enhancing the 3D-DIC reconstruction. Some considerations on the response of the vibrating blisk are drawn and discussed by observing both amplitude and phase distributions

Optical System Setup
Digital Image Correlation Strategy
Results
Investigation of the Blade Deformed Shapes
Conclusions
Full Text
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