Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

The Guided Ultrasonic Wave Oscillation Phase Relation Between the Surfaces of Plate-Like Structures of Different Material Settings

Version 1 : Received: 18 December 2022 / Approved: 22 December 2022 / Online: 22 December 2022 (06:45:27 CET)

A peer-reviewed article of this Preprint also exists.

Rittmeier, L.; Rauter, N.; Mikhaylenko, A.; Lammering, R.; Sinapius, M. The Guided Ultrasonic Wave Oscillation Phase Relation between the Surfaces of Plate-like Structures of Different Material Settings. Acoustics 2023, 5, 136-164. Rittmeier, L.; Rauter, N.; Mikhaylenko, A.; Lammering, R.; Sinapius, M. The Guided Ultrasonic Wave Oscillation Phase Relation between the Surfaces of Plate-like Structures of Different Material Settings. Acoustics 2023, 5, 136-164.

Abstract

Lamb waves occur in thin-walled structures in two wave modes, the symmetric and antisymmetric mode. Their oscillation on the structures‘ surfaces is either in phase (symmetric) or shifted by a phase angle of π (antisymmetric). In this work, a method is developed to compare the surfaces‘ oscillation phase relation. It is based on the evaluation of time signals regarding the instantaneous phase angle using the continuous wavelet transformation and as a comparative method the short-time Fourier transformation. For this purpose, numerical simulations utilizing the finite element method provide time signals from the top and bottom surface of different thin-walled structures. They differ with respect to their material settings and laminate configurations. The numerically obtained time signals are evaluated by the developed methods. The occurring oscillation phase differences on the top and bottom surface are studied and both methods are compared. Subsequently, the oscillation phase is evaluated experimentally for the wave propagation in a fiber metal laminate. It is shown that the method based on the continuous wavelet transformation is suitable for the evaluation of oscillation phase relations in time signals. Additionally, it is proven that fiber metal laminates show only two phase relations which indicates the occurrence of Lamb waves.

Keywords

Guided Ultrasonic Waves; Continuous Wavelet Transformation; Instantaneous Phase Angle; Oscillation Phase; Numerical Simulation; Finite Element Method

Subject

Engineering, Mechanical Engineering

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