Guided wave dispersion curves for a bar with an arbitrary cross-section, a rod and rail example

Hayashi, Takahiro; Song, Won Joon; Rose, Joseph L.

doi:10.1016/s0041-624x(03)00097-0

Cited by 521 publications

(333 citation statements)

References 23 publications

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“…The SAFE method has seen extensive use in the elastic waveguide literature in recent years (see for example [7][8][9][10]). The use of this method to study energy dissipation is, however, less well reported and it is only recently that sound attenuation has been included in the SAFE method for elastic waveguides.…”

Section: Introductionmentioning

confidence: 99%

On the scattering of torsional elastic waves from axisymmetric defects in coated pipes

Kirby

Zlatev

Mudge³

2012

Journal of Sound and Vibration

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Long range ultrasonic testing is now a well established method for examining in-service degradation in pipelines. In order to protect pipelines from the surrounding environment it is common for viscoelastic coatings to be applied to the outer surface. These coatings are, however, known to impact on the ability of long range ultrasonic techniques to locate degradation, or defects, within a coated pipe. The coating dissipates sound energy travelling along the pipe, attenuating both the incident and reflected signals making responses from defects difficult to detect. This article aims to investigate the influence of a viscoelastic coating on the ability of long range ultrasonic testing to detect a defect in an axisymmetric pipe. The article focuses on understanding the behaviour of the fundamental torsional mode and quantifying the effect of bitumen coatings on reflection coefficients generated by axisymmetric defects. Reflection coefficients are measured experimentally for coated and uncoated pipes and compared to theoretical predictions generated using numerical mode matching and a hybrid finite element technique. Good agreement between prediction and measurement is observed for uncoated pipes, and it is shown that the theoretical methods presented here are fast and efficient making them suitable for studying long pipe runs. However, when studying coated pipes agreement between theory and prediction is observed to be poor for predictions based on those bulk acoustic properties currently reported in the literature for bitumen. Good agreement is observed only after conducting a parametric study to identify more appropriate values for the bulk acoustic properties. Furthermore, the reflection coefficients obtained for the fundamental torsional mode in a coated pipe show that significant sound attenuation is present over relatively short lengths of coating, thus quantifying those problems commonly encountered with the use of long range ultrasonic testing on coated pipes in the field.3

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Section: Introductionmentioning

confidence: 99%

On the scattering of torsional elastic waves from axisymmetric defects in coated pipes

Kirby

Zlatev

Mudge³

2012

Journal of Sound and Vibration

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“…This allows the system potentially capable to be permanently installed on the structure enabling it to be monitored continuously. Guided Wave technology has been widely applied in metallic structures in order to inspect pipes, plates, rails (Alleyne and Cawley 1992a;Alleyne and Cawley 1992b;Cawley et al 2003;Hayashi et al 2003;Rose et al 2004). During the 1990s, significant research was focused on pipe inspection (Ditri and Rose 1992;Alleyne et al 1998;Lowe et al 1998), because there was a need to assess in a rapid manner the integrity of hundreds of kilometres of pipelines in the oil & gas, nuclear and chemical industries.…”

Section: Guided Wave Technology In Compositesmentioning

confidence: 99%

“…Different techniques have been proposed, such as traditional Finite Element Method (FEM) (Lissenden et al 2009;Song et al 2009;Ricci et al 2014), semianalytical finite element method (SAFE) (Hayashi et al 2003;Deng and Yang 2011;Rose 2014), finite differences (Saenger and Bohlen 2004;Moczo et al 2007) or applying the elasticity theory using the global matrix and transfer matrix (Wang and Yuan 2007;Karmazin et al 2011Karmazin et al , 2013. Finite Element Methods have limitations due to the available computational resources, since for high frequencies a very fine discretization, both temporal and spatial, is necessary to comply with the Nyquist theorem and to ensure a minimum number of elements per wavelength in order to replicate the wave.…”

Section: Simulationmentioning

confidence: 99%

Damage Sensing in Blades

Crespo

2016

Mare-Wint

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This chapter is divided into three parts; the problem, possible solutions and the chosen option to address the problem, which is my PhD topic within the project MAREWINT. So firstly, the chapter presents an overview of the typical damages that a wind turbine blade can suffer during its life operation. Then, a review of different Structural Health Monitoring (SHM) techniques which are currently being investigated for wind turbine blades is presented. Finally, the chapter provides the state-of-the-art of Guided Wave Technology in composite materials; where different aspects of this SHM technique are explained in more detail. IntroductionWind energy is an important renewable energy source which has gained high relevance during the last decades. Different countries have released plans to invest in wind energy in the future years; such as the USA that will generate 20 % of the country's electricity from wind power by 2030 or Denmark that have set the targets of producing 50 % of the power from the wind by 2020 and also of making Denmark completely free of dependence on fossil fuels by 2050. So, the use of wind power is not expected to decrease within the next decade (Márquez et al. 2012). The trend is to manufacture bigger wind turbines and deploy them offshore. These new wind turbines have around 6 MW power output, 120-metre height tower and 80-metre long blades. They are designed to be operating in rough conditions in difficult-to-reach areas. Therefore, the deployment of Structural Health Monitoring (SHM) techniques becomes essential in order to assess remotely the integrity of the structure. The advantages of using these techniques are many (Schulz and Sundaresan 2006), such as reducing expensive costs for periodic inspections of turbines which are hard to reach, prevention of unnecessary replacement of components based on time of use, or minimizing down time and frequency of sudden breakdowns.

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“…[23][24][25][26], and so this is only briefly reported here. The displacements 1 ′ in region Ω 1 of the pipe (regions Ω 1 and Ω 3 are assumed to be identical) are expanded over the pipe eigenmodes to give…”

Section: Eigenvalue Analysismentioning

confidence: 99%

A numerical model for the scattering of elastic waves from a non-axisymmetric defect in a pipe

Duan

Kirby

2015

Finite Elements in Analysis and Design

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Ultrasonic guided waves are used in the non-destructive testing of pipelines. This involves launching an elastic wave along the wall of the pipe and then capturing the returning wave scattered by a defect. Numerical study of wave scattering is often computationally expensive because the shortest wavelength is often very small compared to the size of the pipe in the ultrasonic frequency range. Furthermore, the number of the scattered wave modes from a non-axisymmetric defect in the pipe can be large and separation of these modes is difficult in a conventional finite element method. Accordingly, this article presents a model suitable for studying elastic wave propagation in waveguides with an arbitrary cross-section in the time and frequency domain. A weighted residual formulation is used to deliver an efficient hybrid numerical formulation, which is applied to a long pipeline containing a defect of arbitrary shape. The problem is solved first in the frequency domain and then extended to the time domain using an inverse Fourier transform. To separate the scattered wave modes in the time domain, a technique is proposed whereby measurement locations are arranged axially along the pipe and a two dimensional Fourier transform is used to present data in the wavenumberfrequency domain. This enables the separation of highly dispersive modes and the recovery of modal amplitudes. This has the potential to reveal more information about the characteristics of a defect and so may help in distinguishing between different type of defects, such a cracks or regions of corrosion, typically found in pipelines.3

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Guided wave dispersion curves for a bar with an arbitrary cross-section, a rod and rail example

Cited by 521 publications

References 23 publications

On the scattering of torsional elastic waves from axisymmetric defects in coated pipes

On the scattering of torsional elastic waves from axisymmetric defects in coated pipes

Damage Sensing in Blades

A numerical model for the scattering of elastic waves from a non-axisymmetric defect in a pipe

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