Authors: Pawel Malinowski, Tomasz Wandowski, Wiesław M. Ostachowicz
Abstract: In this paper the investigation of a structural health monitoring method for thin-walled parts of structures is presented. The concept is based on the guided elastic wave propagation phenomena. This type of waves can be used in order to obtain information about structure condition and possibly damaged areas. Guided elastic waves can travel in the medium with relatively low attenuation, therefore they enable monitoring of extensive parts of structures. In this way it is possible to detect small defects in their early stage of growth. It is essential because undetected damage can endanger integrity of a structure. In reported investigation piezoelectric transducer was used to excite guided waves in chosen specimens. Dispersion of guided waves results in changes of velocity with the wave frequency, therefore a narrowband signal was used. Measurement of the wave field was realized using laser scanning vibrometer that registered the velocity responses at points belonging to a defined mesh. An artificial discontinuity was introduced to the specimen. The goals of the investigation was to detect it and find optimal sensor placement for this task. Determination of the optimal placement of sensors is a very challenging mission. In conducted investigation laser vibrometer was used to facilitate the task. The chosen mesh of measuring points was the basis for the investigation. The purpose was to consider various configuration of piezoelectric sensors. Instead of using vast amount of piezoelectric sensors the earlier mentioned laser vibrometer was used to gather the necessary data from wave propagation. The signals gather by this non-contact method for the considered network were input to the damage detection algorithm. Damage detection algorithm was based on a procedure that seeks in the signals the damage-reflected waves. Knowing the wave velocity in considered material the damage position can be estimated.
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Authors: Pawel Malinowski, Tomasz Wandowski, Wiesław M. Ostachowicz
Abstract: In presented research a problem that belongs to the Structural Health Monitoring (SHM) topic was investigated. Special arrays of active sensors were used for damage detection. These sensors were piezoelectric transducers. They were attached to specimen under investigation and used to excite and sense guided elastic waves – Lamb waves. Each array comprised of uniquely placed transducers. The total number of transducers was the same for all considered arrays. This ensured that the same number of signals was used to obtain damage information. A numerical algorithm was proposed to process these signals. It was designed to be independent of sensor arrangement so it could be used for all considered arrays. The principal idea behind the algorithm is that obstacles on a wave path cause wave reflection. These reflections are represented in the time signals. The algorithm was used to associate energy of these reflections with a particular area of the investigated specimen. The value of the energy was extracted from all the signals and projected to coordinate system associated with the specimen edges. In order to test and compare proposed arrays artificial defects were introduced to the specimen to model damaged structure. Because the specimen with defect and signal processing algorithm were the same, the only variable that could influence damage detection was the type of the array.
In the investigation damage detection results were obtained for considered arrays. Although the number of sensors were invariable, differences in damage indication exist. This suggest that the type of sensor array should be precisely chosen for a particular application. Even simplest linear array may be sufficient but it depends where we want to apply it.
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Authors: Maciej Radzieński, Marek Krawczuk, Wiesław M. Ostachowicz
Abstract: This paper presents experimental verification and comparison of damage detection methods based on changes in mode shapes such as: mode shape curvature (MSC), modal assurance criterion (MAC), strain energy (SE), modified Laplacian operator (MLO), generalized fractal dimension (GFD) and Wavelets Transform (WT). The object of the investigation is to determine benefits and drawbacks of the aforementioned methods and to develop data preprocessing algorithms for increasing damage assessment effectiveness by using signal processing techniques such as interpolation and extrapolation measured points. Noise reduction algorithms based on moving average, median filter and wavelet decomposition are also tested. The experiments were performed on a 1m long steal cantilever beam. Damage was introduced in form of 10% and 20% deep saw cut, placed in 10%, 30%, 50%, 70% and 90% beam length. Measurements were made using non-contact Scanning Laser Doppler Vibrometer at 125 points equally spaced along beam length.
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Authors: Marek Krawczuk, Magdalena Palacz, Arkadiusz Zak, Wiesław M. Ostachowicz
Abstract: According to the latest research results presented in the literature changes in propagating waves are one of the most promising parameters for damage identification algorithms. Numerous publications describe methods of damage identification based on the analysis of signals reflected from damage. They also include complicated signal processing techniques. Such methods work well for damage localisation, but it is rather difficult to use them in order to estimate the size of damage. It is natural that propagating wave reflects from any structural discontinuity. The bigger the disturbance the bigger part of a propagating wave reflects from it. The amount of energy reflected and transmitted through any discontinuity can expressed as reflection and transmission coefficients. In the literature different application for these coefficients may be found – the most often cited application is connected with localising changes in the geometry of structures. Changes in the coefficients due to cross section variations in rods and beams or due to existence of stiffeners in plates are well documented. However there are no application of using the reflection and transmission coefficients for damage size identification. For this reason the analysis presented in this paper has been carried out.
The article presents a method of damage identification in 1D elements based on the wave propagation phenomenon and changes in reflection and transmission coefficients. The changes in transmission and reflection coefficients for waves propagating in isotropic rods with different types of damage have been analysed. The rods have been modelled with the elementary, two and three mode theories or rods. For numerical modelling the Spectral Finite Element Method has been used. Several examples are given in the paper.
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Authors: Tomasz Wandowski, Pawel Malinowski, Wiesław M. Ostachowicz
Abstract: In this paper algorithm for damage localisation in thin panels made of aluminium alloy has been proposed. Mentioned algorithm uses Lamb wave propagation methods and geometrical approach for damage localisation. Elastic waves are generated and received using piezoelectric transducers. Excited elastic waves propagate and reflect from panel boundary and discontinuities existing in the panel. Wave reflection can be registered through the piezoelectric transducers and used in signal processing algorithm. Processing algorithm consists of two parts: signal filtering and extraction of damage location. The first part is used in order to remove noise from received signals. Second part allows to extract arrival time of waves reflected from discontinuity, very often called Time Of Flight (TOF). Localisation algorithm uses pairs of transducers from a concentrated transducers configuration. Using signals from pair of transducers two times of reflection can be extracted from received signals. Because coordinates of transducers are well known ellipse can be constructed based on extracted times of waves reflections. Damage lies one ellipse but it is not known exactly where. Therefore one ellipse is not enough to localise a discontinuity. In order of proper damage localisation more ellipses must be used. In this purpose signals received by larger number of transducers pairs are used in damage localisation algorithm. Points of ellipses intersections allow to indicate localisation of damage. Described signal processing algorithm has been coded in the MATLAB® environment. In this work experimental results has been presented.
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Authors: Pawel Malinowski, Tomasz Wandowski, Wiesław M. Ostachowicz
Abstract: The aim of this work is the investigation and improvement of a Structural Health Monitoring method based on Lamb waves propagation. This research concentrates on ambiguity in damage localization using attached piezoelectric transducers as sources and sensors of the elastic waves. A linear phased array is chosen as a starting point of the investigation. It has a great advantage in damage localization, namely it enables to amplify the wave reflected from damage, increasing the signal to noise ratio, and precisely indicates not only the distance to damage from the array but also the direction on which the damage lies. However it has also a great disadvantage which needs to be handled – the localization results are symmetric in relation to the line on which the transducers of linear phased array are placed. This obviously does not facilitate Structural Health Monitoring process and precise indication of damage placement. Therefore this investigation aims to improve this localization method by removing the ambiguity in results. In this work the placement of transducers forming a linear phased array is modified to achieve this goal. Several array modification are investigated and compared in order to determine the best solution. Presented research is based on theoretical calculations as well as laboratory experiments on prepared specimens. The measurements are conducted with a compact 13–channel SHM system controlled by a MATLAB® script.
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Authors: Pawel Kudela, Wiesław M. Ostachowicz, Arkadiusz Zak
Abstract: The aim of this paper is development of an algorithm for damage localisation in composite plates based on wave propagation signals registered by sensors. It is proposed to distribute the sensors uniformly over the area of a plate-like structure performing triangulation. Next the registered signals are processed and a damage influence map is created in each triangle separately in order to avoid problems connected with reflections from boundaries of the structure. The proposed procedure has been verified on numerical signals as well as experimental signals.
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Authors: Wiesław M. Ostachowicz, Arkadiusz Zak, Pawel Malinowski, Tomasz Wandowski
Abstract: This work is focused on two major applications of multi–functional materials. In the first
one the use of piezoelectric transducers have been studied in order to monitor the health of
composite plate–like structures. These transducers can act as signal sources and sensors for guided
elastic waves in inspected structures. The excited waves propagating in the material can reflect from
various discontinuities such like: boundaries, notches, cracks and delamination. In the next step the
time responses registered by the sensors, as inputs for a signal processing algorithm, may be
processed to correlate the measured arriving waves with the discontinuities in the structures
enabling one to indicate the location of the discontinuities.
In the second application the use of shape memory alloy (SMA) components integrated with
composite structural elements are investigated. SMA elements in the forms of wires, strips, ribbons,
beams, tubes, etc. can be bonded to, or integrated within, various structural elements in order to
control their mechanical properties, static as well as dynamic behaviour. This can be obtained
thanks to unique effects associated with thermal activation of SMAs leading to significant changes
in SMA material properties, which next can also be applied for control purposes. The use of such
controllable properties of SMA components in active control of static (deflection) and dynamic
(natural frequencies, modes of vibrations, amplitudes of forced vibrations) characteristics of
laminated composite beams–like structures have been demonstrated.
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Authors: Pawel Kudela, Wiesław M. Ostachowicz
Abstract: The paper presents results of numerical simulation for transverse elastic waves
corresponding to A0 mode of Lamb waves propagating in a composite plate. This problem is solved
by using the Spectral Finite Element Method. Spectral plate elements with 36 nodes defined at
Gauss-Lobatto-Legendre points are used. As a consequence of selecting Lagrange polynomials
discrete orthogonality guaranteed leading to a diagonal mass matrix. This results in a crucial
reduction of numerical operations required for a chosen time integration scheme. Numerical
calculations have been carried out for various orientations of reinforcing fibres within the plate as
well as for various fibre volumes fractions. The paper shows that the velocities of transverse elastic
waves in composite materials are functions of the fibre orientation and the fibre volume fraction.
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Authors: Katarzyna Majewska, Arkadiusz Zak, Wiesław M. Ostachowicz
Abstract: In this paper the authors present a new one-dimensional phenomenological model of the
magnetic shape memory effect (MSME) observed in magnetic shape memory alloys (MSMAs). The
model takes into account elementary processes associated with the magnetisation of MSMAs. Its
correctness has been checked against selected models known from the literature. The model
developed by the authors has been verified in the case of a rod element made out of a MSMA by the
use of the finite element method (FEM). A study on the influence of activation of MSMA beam
actuators in the case of forced vibration of a composite beam has been performed. The authors have
also carried out investigation connected with the influence of a transverse and open crack on the
effectiveness of vibration reduction in the case of a composite beam by the use of MSM actuators.
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