Crack and flaw identification in elastodynamics using Kalman filter techniques

Engelhardt, Marek; Stavroulakis, Georgios Ε.; Antes, H.

doi:10.1007/s00466-005-0709-y

Cited by 11 publications

(5 citation statements)

References 19 publications

(20 reference statements)

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“…Besides, these problems can have several local minima (multiple solutions), and thus a global optimization method (such as GA) is a better choice for the numerical solution (Engelhardt et al, 2006;. On the other hand, GA uses multiple points to search for the solution, rather than a single point, and a global minimum has a better chance of being obtained.…”

Section: Detection Of Holes In a Plate Using Global Optimization And ...mentioning

confidence: 99%

“…Classical calculus-based optimization methods require evaluation of derivatives of the objective function, which may not be possible to be obtained, or may be numerically obtained, with unacceptable inaccuracy. These problems can also have several local minima (multiple solutions), and thus a global optimization method is a better choice for the numerical solution Stavroulakis and Antes [1998], Engelhardt et al [2006].…”

Section: Introductionmentioning

confidence: 99%

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Model-based and Signal-Based Inverse Methods

2022

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The engineering sector drives and enables the development of a country. The formation of an engineer allows a technical capacity to evaluate, plan, design, suggest and apply all possible techniques in search of the best construction of a technological equipment. Currently, the engineer must be more and more prepared to solve existing problems in various sectors of society. It is through it that societies grow in search of progress. The recognition of engineering and the training of new professionals increases every year in Brazil. In the 2000s, the University of Brasília (UnB) went through an expansion process, resulting in the implementation of the new UnB Engineering Campus in the city of Gama (UnB-Gama, FGA). Five new undergraduate courses were created: Aerospace Engineering, Automotive Engineering, Electronic Engineering, Energy Engineering and Software Engineering. The UnB Gama Campus project converges to increase the education level of the Brazilian population, especially in the five areas of engineering activity, all in line with current national public policies, aimed at expanding the population's access to quality higher education in the country. Following the high quality teaching line, the UnB-Gama campus has the Graduate Program in Integrity of Engineering Materials (PPG-Integridade). The program has the following lines of research: Dynamics and Vibrations, Fatigue, Structural Materials, Biomaterials, Structure Fluid Interaction and Numerical Simulation of the Mechanical Behavior of Materials. This book series is an initiative of PPG-Integridade -UnB, organized as a collaborative work involving researchers, engineers, scholars, from several institutions, universities, industry, recognized both nationally and internationally.Beside the high technical quality and relevance of the topics covered in the books, this series will enable an essential internationalization of the research currently developed within the University of Brasília. Several authors from different countries also contributed to these books, enabling greater interaction between national and international research groups. This internationalization raises the level of academic education for new professionals in the field of engineering, in addition to more advanced scientific research and technological development. Additionally, this book series features a strong contribution from the industrial sector. Several professionals from different companies collaborated with the writing of some chapters in the three volumes that make up this series. These initiatives are of great strategic importance, as they allow the grouping of different technical capabilities. On the part of companies in the sector, with knowledge of market demands, and on the part of universities, by adding the technical-scientific knowledge of their team of researchers to the improvement of innovative products and services. This book should be appreciated by anyone in need of knowledge of Materials Integrity. The completeness of Discrete Modeling and Inverse Methods theory c...

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Section: Detection Of Holes In a Plate Using Global Optimization And ...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Model-based and Signal-Based Inverse Methods

2022

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“…We will demonstrate the discretization process based on the mixed form of the beam bending equations, Equations (1) and (2). Here, we begin by assuming that w and M are approximated in the usual manner by appropriate shape functions and unknown parameters: , e e w M = = Nw NM (3) where N represents element shape functions and w e and M e are the nodal parameters to be determined. Higher order functions can be used for shape functions, but the same linear shape functions were used for w e and M e to simplify the calculation.…”

Section: Formulation Of Mixed Beam Elementmentioning

confidence: 99%

Inverse Problems for an Euler-Bernoulli Beam: Identification of Bending Rigidity and External Loads

Katori¹

2018

WJM

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We present a method for identifying the flexural rigidity and external loads acting on a beam using the finite-element method. We used mixed beam elements possessing transverse deflection and the bending moment as the primary degrees of freedom. The first step is to determine the bending moment from the transverse deflection and boundary conditions. The second step is to substitute the bending moment into the final equations with respect to the unknown parameters (flexural rigidity or external load). The final step solves the resulting system of equations. We apply this method to some inverse beam problems and provide an accurate estimation. Several numerical examples are performed and show that present method gives excellent results for identifying bending stiffness and distributed load of beam.

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“…Using the same methods, Paruch and Majchrzak [18] were able to determine the location, dimension and thermophysical properties of tumors in two-and three-dimensional geometries. By applying dynamic loads to a two-dimensional geometry and measuring the strain at different times, Engelhardt et al [19] successfully determined the location and dimension of a crack. They used BEM, and the Kalman filter technique.…”

Section: Introductionmentioning

confidence: 99%

Detection of flaws in a two-dimensional body through measurement of surface temperatures and use of conjugate gradient method

2010

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This paper aims to obtain parameters (i.e. location and dimensions) relevant to flaws in a two-dimensional body by measuring the temperature on its boundaries. In this endeavour, a steady-state heat conduction problem is formulated, and the geometry under study is subjected to a known heat load, resulting in a specific heat distribution in the body. By using a number of heat sensors, the temperature at selected points on the boundary of the body is obtained. Inverse heat conduction methods implement these temperature data, working toward estimating the flaw parameters. The objective function is optimized using conjugate gradients method, and in solving the direct problem, an FEM code is employed. To check the effectiveness of this method, sample cases with one or more circular, elliptical cavities or cracks in the body, and a case with unknown cavity shape is solved. Finally the ensuing results analyzed.

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Crack and flaw identification in elastodynamics using Kalman filter techniques

Cited by 11 publications

References 19 publications

Model-based and Signal-Based Inverse Methods

Model-based and Signal-Based Inverse Methods

Inverse Problems for an Euler-Bernoulli Beam: Identification of Bending Rigidity and External Loads

Detection of flaws in a two-dimensional body through measurement of surface temperatures and use of conjugate gradient method

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