Amplitude-dependent contraction/elongation of nonlinear Lamb waves

Pawel Packo; Wieslaw J. Staszewski; Tadeusz Uhl; Michael J. Leamy

doi:10.1117/12.2219042

1 April 2016 Amplitude-dependent contraction/elongation of nonlinear Lamb waves

Pawel Packo, Wieslaw J. Staszewski, Tadeusz Uhl, Michael J. Leamy

Proceedings Volume 9805, Health Monitoring of Structural and Biological Systems 2016; 98050K (2016) https://doi.org/10.1117/12.2219042
Event: SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring, 2016, Las Vegas, Nevada, United States

Abstract

Nonlinear elastic guided waves find application in various disciplines of science and engineering, such as non- destructive testing and structural health monitoring. Recent recognition and quantification of their amplitude- dependent changes in spectral properties has contributed to the development of new monitoring concepts for mechanical structures. The focus of this work is to investigate and predict amplitude-dependent shifts in Lamb wave dispersion curves. The theory for frequency/wavenumber shifts for plate waves, based on a Lindstedt-Poincaré perturbation approach, was presented by the authors in previous years. Equivalently, spectral properties changes can be seen as wavelength contraction/elongation. Within the proposed framework, the wavelength of a Lamb wave depends on several factors; e.g., wave amplitude and second-, third- and fourth-order elastic constants, and others. Various types of nonlinear effects are considered in presented studies. Sensitivity studies for model parameters, i.e. higher-order elastic constants, are performed to quantify their influence on Lamb wave frequency/wavenumber shifting, and to identify the key parameters governing wavelength tuning.

Citation Download Citation

Pawel Packo, Wieslaw J. Staszewski, Tadeusz Uhl, and Michael J. Leamy "Amplitude-dependent contraction/elongation of nonlinear Lamb waves", Proc. SPIE 9805, Health Monitoring of Structural and Biological Systems 2016, 98050K (1 April 2016); https://doi.org/10.1117/12.2219042

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