Higher order interaction of elastic waves in weakly nonlinear hollow circular cylinders. II. Physical interpretation and numerical results

Liu, Yang; Khajeh, Ehsan; Lissenden, Cliff J.; Rose, Joseph L.

doi:10.1063/1.4879460

Cited by 28 publications

(15 citation statements)

References 25 publications

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“…The possible cumulative secondary wave fields due to interaction of longitudinal and torsional waves in cylinders are summarised in Table . A further study from the same group illustrated an analysis of higher order guided waves interaction in weakly nonlinear tubes . Moreover, the second harmonic generation in pipes was also studied via applying a large‐radius asymptotic approximation, which extended the conclusions obtained from the second harmonic generation in plates to large radius pipes …”

Section: Nonlinear Guided Waves In Pipesmentioning

confidence: 80%

Guided waves for damage identification in pipeline structures: A review

Guan

Duan

et al. 2017

Struct Control Health Monit

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Summary Guided waves find their niche in cost‐effective damage identification in comparison with conventional nondestructive evaluation. Comprehensive research has been conducted since the 1980s, focusing on the detection of a wide variety of types of damage in metallic and composite structures. The main scope of this paper is to present a review of state‐of‐the‐art guided wave‐based approaches for damage identification in pipeline structures. Theoretical analyses of the interaction between linear and nonlinear guided waves and damage are addressed in detail. Numerical simulations and experimental studies of damage identification in pipeline structures using both linear and nonlinear guided waves are elaborated. Other issues including bends in pipes, effects of environmental and operational conditions on the performance of guided waves are another focus of this review. Future challenge in this field is summarised at the end of this review.

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Section: Nonlinear Guided Waves In Pipesmentioning

confidence: 80%

Guided waves for damage identification in pipeline structures: A review

Guan

Duan

et al. 2017

Struct Control Health Monit

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“…34. Recently, higher order mode interactions in pipes were studied 35,36 where harmonic generation from flexural modes was analyzed as well.…”

Section: Nonlinear Guided Waves In Other Waveguidesmentioning

confidence: 99%

“…Likewise, two local approaches, namely cellular automata finite element and local interaction simulation approach have been employed 39 to study second-harmonic guided wave generation in waveguides. On the other hand, conventional finite element methods incorporating material and geometric nonlinearities were extensively used 26,28,36,[40][41][42] to study second-harmonic guided wave propagation in waveguides, especially in plates and pipes. In this section, we discuss the results from finite element simulations concerning second-harmonic guided waves in plates.…”

Section: Numerical Simulationsmentioning

confidence: 99%

Review of nonlinear ultrasonic guided wave nondestructive evaluation: theory, numerics, and experiments

2015

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Abstract. Interest in using the higher harmonic generation of ultrasonic guided wave modes for nondestructive evaluation continues to grow tremendously as the understanding of nonlinear guided wave propagation has enabled further analysis. The combination of the attractive properties of guided waves with the attractive properties of higher harmonic generation provides a very unique potential for characterization of incipient damage, particularly in plate and shell structures. Guided waves can propagate relatively long distances, provide access to hidden structural components, have various displacement polarizations, and provide many opportunities for mode conversions due to their multimode character. Moreover, higher harmonic generation is sensitive to changing aspects of the microstructures such as to the dislocation density, precipitates, inclusions, and voids. We review the recent advances in the theory of nonlinear guided waves, as well as the numerical simulations and experiments that demonstrate their utility. 1 Introduction Nonlinear ultrasonic nondestructive evaluation uses interrogation signals at frequencies other than the excitation frequency to detect changes in structural integrity and characterize degradation of materials. Nonlinear ultrasonic methodologies provide improved sensitivity to damage and the ability to identify incipient damage relative to linear methods. In general, linear ultrasonic methods provide good sensitivity to macroscale damage such as long fatigue cracks. However, in many cases, once damage appears at the macroscale, the remaining life is short, severely limiting maintenance decisions. Thus, characterization of incipient damage could facilitate a paradigm shift in operations of structural systems from schedule-based to condition-based maintenance that would ultimately enhance safety and reduce life cycle costs. Nonlinear ultrasonics is a broad discipline 1,2 which encompasses many specialized techniques reliant upon nonlinear material behavior to detect and/or characterize incipient damage. Some of these include nonlinear resonant ultrasound spectroscopy, 3 nonlinear elastic wave spectroscopy, 4-6 and second-harmonic generation.

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“…Li et al [8], Davies et al [9] and Velichko et al [10] considered a pipe as an unrolled plate to simplify the complex pipe guided wave solution for flexural waves by assuming plate-like behavior based on the approximation that the diameter of the pipe is much larger than the wall thickness. Y. Liu et al [11] presented a plate ray perspective for elastic wave propagation in hollow circular cylinders. A helical inter-digital transducer was designed for the excitation of a single dominant flexural mode.…”

Section: Introductionmentioning

confidence: 99%

Magnetostrictive helical array transducer for inspecting spiral welded pipes using flexural guided waves

Zhang¹,

Tang²,

Lv³

2017

AIP Conference Proceedings

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Abstract.A wavefront analysis indicates that a flexural wave propagates at a helix angle with respect to the pipe axis. The expression for calculation of the helix angle for each flexural mode is given, and the helix angle dispersion curves for flexural modes are calculated. According to the new understanding of flexural guided waves, a magnetostrictive helical array transducer (MHAT) is proposed for selectively exciting a single predominant flexural torsional guided wave in a pipe and inspecting spiral welded pipes using flexural waves. A MHAT contains a pre-magnetized magnetostrictive patch that is helically coupled with the outer surface of a pipe, and an array of novel compound comb coils that are wrapped around the helical magnetostrictive patch. The proposed wideband MHAT possesses the direction control ability. A verification experiment indicates that flexural torsional mode T(3,1) at center frequency f=64kHz is effectively actuated by a MHAT with 13-degree helix angle. A 20-degree MHAT is adopted to inspect a spiral welded pipe, an artificial notch with cross section loss CSL=2.7% is effectively detected by using flexural waves.

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Higher order interaction of elastic waves in weakly nonlinear hollow circular cylinders. II. Physical interpretation and numerical results

Cited by 28 publications

References 25 publications

Guided waves for damage identification in pipeline structures: A review

Guided waves for damage identification in pipeline structures: A review

Review of nonlinear ultrasonic guided wave nondestructive evaluation: theory, numerics, and experiments

Magnetostrictive helical array transducer for inspecting spiral welded pipes using flexural guided waves

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