Circuit Analysis of Impedance-based Health Monitoring of Beams Using Spectral Elements

Peairs, Daniel M.; Inman, Daniel J.; Park, Gyuhae

doi:10.1177/1475921707072621

Cited by 42 publications

(35 citation statements)

References 34 publications

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“…Once the dynamic stiffness k str of the rotor is obtained, χ(ω) can be calculated. With a low-cost impedance-test circuit [7], the E/M coupled impedance of the rotor can be calculated by…”

Section: Analytical Formulationmentioning

confidence: 99%

Rotor damage detection by using piezoelectric impedance

2016

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Rotor is a core component of rotary machinery. Once the rotor has the damage, it may lead to a major accident. Thus the quantitative rotor damage detection method based on piezoelectric impedance is studied in this paper. With the governing equation of piezoelectric transducer (PZT) in a cylindrical coordinate, the displacement along the radius direction is derived. The charge of PZT is calculated by the electric displacement. Then, by the use of the obtained displacement and charge, an analytic piezoelectric impedance model of the rotor is built. Given the circular boundary condition of a rotor, annular elements are used as the analyzed objects and spectral element method is used to set up the damage detection model. The Electro-Mechanical (E/M) coupled impedance expression of an undamaged rotor is deduced with the application of a low-cost impedance test circuit. A Taylor expansion method is used to obtain the approximate E/M coupled impedance expression for the damaged rotor. After obtaining the difference between the undamaged and damaged rotor impedance, a rotor damage detection method is proposed. This method can directly calculate the change of bending stiffness of the structural elements, it follows that the rotor damage can be effectively detected. Finally, a preset damage configuration is used for the numerical simulation. The result shows that the quantitative damage detection algorithm based on spectral element method and piezoelectric impedance proposed in this paper can identify the location and the severity of the damaged rotor accurately.

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Section: Analytical Formulationmentioning

confidence: 99%

Rotor damage detection by using piezoelectric impedance

2016

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“…Since impedance-based SHM relies on high frequency excitation of the structure using piezoelectric patches, finite element modeling may not be computationally efficient. Simulations of sensor multiplexing, high frequency response, and the inclusion of damage are presented in [1]. In [9] was defined an in situ and nondestructive method for the impact damage monitoring of carbon/epoxy laminated composites and the propagation of Lamb waves inside a stiffened aeronautical structure, and the definition of associated data processing systems was described.…”

Section: Diagnostics Methods Used To Assess the Airframe Structure Hementioning

confidence: 99%

SHM Supporting Damage Tolerance Design Philosophy As a Challenge for Designers of Future Airframes

Kustroń¹

2008

Journal of Konbin

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Development design pfilosophy of airframes in all the relevant technological fields is important for the evaluation of high performance airframes best to achive high level of safety and satisfy the market needs. Maintenance cost reduction, increased aircraft availability and weight saving are goals which will be reaching by SHM systems as on-line monitoring of the structure health. Irrespective of which materials will be used in the future, the current design philosophy, which is applied today by the structural designers, will be challenged by the new design philosophy based on SHM. The most efective SHM methods are based on Lamb wave techniques. Using the based on Lamb wave techniques would be cost-effective and reliable damage detection is critical for the utilization of metal, composite and hybrid materials. Multitude of diagnostics data requires to use expert systems for effective analysis.Key words: aircraft, airframe, metal and composite structure, degradation, durability, reliability, safety, damage detection, non destructive testing, structural health monitoring, piezoelectric, expert systems, artificial intelligence.Streszczenie: Rozwój efektywnych metod konstruowania płatowca warunkuje powstawanie konstrukcji o lepszych osiągach przy wysokich właściwościach eksploatacyjnych. Ważnym aspektem jest obniżenie kosztów eksploatacyjnych przy wzroście współczynnika gotowości operacyjnej i oszczędnościach masowych. Te zadania mogą zostać osiągnięte poprzez efektywne zastosowanie ciągłego monitoringu (SHM) w celu wykrywania czy określania wielkości uszkodzenia. Wyniki badań w dostępnej literaturze wskazują na wysoką efektywność metod wykorzystujących własności fal Lamba. Czujniki piezoelektryczne, które można umieszczać na strukturze jak i wprowadzać w samą strukturę podczas procesu wytwarzania elementów konstrukcyjnych płatowca wpływają na oszczędności co do kosztów a przez to, że mają wykrywać uszkodzenia lub nadzorować ich rozprzestrzenianie podwyższają niezawodność. Techniki wykorzystujące fale Lamba są efektywne w ocenie uszkodzeń struktur metalowych, kompozytowych jak i hybrydowych. Dane zbierane z czujników o ogromnej ilości muszą być oceniane przy użyciu systemów eksperckich bazujących na technikach sztucznej inteligencji.

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“…Moreover, sensors and instrumentation were developed to improve the quality of measurement response [24,25]. Methods similar to system identification were also developed to perform damage assessment [26][27][28]. Other research included the use of dynamic test results, or computergenerated data to analyse stay cables using open-source finite element codes [29].…”

Section: Introductionmentioning

confidence: 99%

An inverse solution for reconstruction of the area-moment-of-inertia of a beam using deflection data

Moaveni

Chou

2011

Inverse Problems in Science and Engineering

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The main purpose of this study was to develop a mathematical model that could be used to determine the changes in the structural characteristics -such as changes that could occur due to corrosion in the cross-sectional area-momentof-inertia of a bridge -from the knowledge of its loading and deflection. Reconstruction of the cross-sectional area-moment-of-inertia of a bridge from the knowledge of its loading and deflection is an inverse problem. In this investigation, the cross-sectional area-moment-of-inertias of a scaled model of simply supported steel bridge (with simulated corrosion) are reconstructed using the deflection and load data. The deflection data used in this inverse problem were numerically generated using the finite element method and the ANSYS software. The deflection data for each model were then used in the inverse problem to reconstruct the cross-sectional area-moment-of-inertias for the model. To solve the inverse problem, the solution domain was discretized into finite number of elements and nodes. The nodal deflections and slopes were represented by Hermite shape functions. For each element, the strain energy and the work done by the external forces were formulated. The minimum total potential energy principle was then used to create the stiffness matrices and reconstruct the area-moment-of-inertia for each element. The inverse model creates a set of linear equations that must be solved simultaneously. Moreover, since the formulation led to more equations than unknowns, the least squared method was used to minimize the errors associated with the solutions, and to match the number of equations with unknowns. Comparison of the inverse solutions with the direct solutions confirms that the variations in the area-moment-of-inertia for a bridge cross-section can be reconstructed, with good accuracy, from the knowledge of its loading and deflection.

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Circuit Analysis of Impedance-based Health Monitoring of Beams Using Spectral Elements

Cited by 42 publications

References 34 publications

Rotor damage detection by using piezoelectric impedance

Rotor damage detection by using piezoelectric impedance

SHM Supporting Damage Tolerance Design Philosophy As a Challenge for Designers of Future Airframes

An inverse solution for reconstruction of the area-moment-of-inertia of a beam using deflection data

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