Abstract

Analyzing eigenfrequencies of serial parts by acoustic resonance testing enables an efficient nondestructive assessment of component quality or structural state. Usually, each application is based on experimentally acquired training data, which represent the typical natural vibration behavior of the component type to be inspected. From the training data, suitable test characteristics are identified according to the inspection objective. The experimental collection of training data, which involves selecting and characterizing numerous representing parts, is often associated with a great amount of effort. Instead, this work focuses on a simulation-based generation of synthetic training data. Within an application example, the eigenfrequencies of a set of virtual parts were calculated with FEM as a function of geometry. The resulting simulation values were adapted using empirical correction factors, which were derived from both calculated and measured eigenfrequencies of machine-made reference parts. The simulation-based data were finally used to form linear regression models within a training procedure. These models enabled the precise estimation of geometric dimensions of further machine-made parts using their measured eigenfrequencies as input data. The novel approach, which requires the experimental characterization of only a few real parts, can thus significantly reduce the effort associated with efficient and reliable acoustic resonance testing.

Highlights

  • Acoustic resonance testing (ART), referred to as resonant or resonance inspection (RI), for example, is a nondestructive inspection method, see References [1,2,3,4,5,6,7]

  • To show the validity of our approach, we used synthetic training data to create models, which served to estimate the actual dimensions of machine-made parts based on measured eigenfrequencies

  • Our approach aims at the synthetic generation of a data set that represents the relevant physical correlations via numerous virtual training parts

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Summary

Introduction

Acoustic resonance testing (ART), referred to as resonant or resonance inspection (RI), for example, is a nondestructive inspection method, see References [1,2,3,4,5,6,7]. In contrast to other studies, the presented work understands ART as a NDT procedure for geometrically more complicated and practice-relevant serial parts and takes aspects like tolerable component variations into account. Aspects like the distinction between the influences of defects from those of tolerable variations, which is addressed in References [22,29], or the inverse detection of defects including different positions, which is mentioned in References [30,31,32], are relevant points They could be considered within a generation of synthetic ART training data if necessary for a specific application. A consistent geometric model using 8 individually updated geometric dimensions according to measurement data was selected as a virtual representation of each real part

D R2 d R1 d R2
Comparative Analysis of FEM-Calculated and ART-Measured Eigenfrequencies
Status Quo
Step-by-Step Analysis of Modeling Errors of Simulated Eigenfrequencies
Strategy for Adapting the Virtual Model to the Real Part
Validation of the Selected Model Adaption Strategy
Findings
Conclusions and Outlook for Acoustic Resonance Testing
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