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A novel method for performing model updating on finite element models is presented. The approach is particularly tailored to modal analyses of buildings, by which the lowest frequencies, obtained by using sensors and system identification…

Numerical Analysis · Mathematics 2018-07-18 Maria Girardi , Cristina Padovani , Daniele Pellegrini , Margherita Porcelli , Leonardo Robol

This paper proposes the response surface method for finite element model updating. The response surface method is implemented by approximating the finite element model surface response equation by a multi-layer perceptron. The updated…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 Tshilidzi Marwala

In general, there is a mismatch between a finite element model {(FEM)} of a structure and its real behaviour. In aeronautics, this mismatch must be small because {FEM}s are a fundamental part of the development of an aircraft and of…

Computational Engineering, Finance, and Science · Computer Science 2026-04-20 Gabriele Dessena , Alessandro Pontillo , Dmitry I. Ignatyev , James F. Whidborne , Luca Zanotti Fragonara

In this paper, a non-probabilistic method based on fuzzy logic is used to update finite element models (FEMs). Model updating techniques use the measured data to improve the accuracy of numerical models of structures. However, the measured…

Artificial Intelligence · Computer Science 2017-01-05 I. Boulkaibet , T. Marwala , M. I. Friswell , H. Haddad Khodaparast , S. Adhikari

This research studies finite element (FE) model updating through sum of squares (SOS) optimization to minimize modal dynamic residuals. In the past few decades, many FE model updating algorithms have been studied to improve the similitude…

Optimization and Control · Mathematics 2018-09-05 Dan Li , Xinjun Dong , Yang Wang

This paper compares the Maximum-likelihood method and Bayesian method for finite element model updating. The Maximum-likelihood method was implemented using genetic algorithm while the Bayesian method was implemented using the Markov Chain…

Applications · Statistics 2007-05-23 Tshilidzi Marwala , Lungile Mdlazi , Sibusiso Sibisi

In this paper, gradient-based optimization methods are combined with finite-element modeling for improving electric devices. Geometric design parameters are considered by affine decomposition of the geometry or by the design element…

A recent nature inspired optimization algorithm, Fish School Search (FSS) is applied to the finite element model (FEM) updating problem. This method is tested on a GARTEUR SM-AG19 aeroplane structure. The results of this algorithm are…

Computational Engineering, Finance, and Science · Computer Science 2013-08-13 I. Boulkabeit , L. Mthembu , T. Marwala , F. De Lima Neto

In this paper, we discuss a general multiscale model reduction framework based on multiscale finite element methods. We give a brief overview of related multiscale methods. Due to page limitations, the overview focuses on a few related…

Numerical Analysis · Mathematics 2016-06-22 Eric Chung , Yalchin Efendiev , Thomas Y. Hou

We formulate a cut finite element method for linear elasticity based on higher order elements on a fixed background mesh. Key to the method is a stabilization term which provides control of the jumps in the derivatives of the finite element…

Numerical Analysis · Mathematics 2019-02-05 Peter Hansbo , Mats G. Larson , Karl Larsson

Functionally graded materials (FGMs) are two-phase composites with continuously changing microstructure adapted to performance requirements. Traditionally, the overall behavior of FGMs has been determined using local averaging techniques or…

Materials Science · Physics 2011-08-31 Zahra Sharif-Khodaei , Jan Zeman

Optimization of large structures of multiple components is essential to many industries for minimizing mass, especially the design of aerospace vehicles. Optimizing a single primary load member independently of all other primary structures…

Numerical Analysis · Mathematics 2016-02-16 Alexander Lavin , Giovanni Greco , Kenjji Shimada

Local multiscale methods often construct multiscale basis functions in the offline stage without taking into account input parameters, such as source terms, boundary conditions, and so on. These basis functions are then used in the online…

Numerical Analysis · Mathematics 2018-01-17 Eric T. Chung , Yalchin Efendiev , Wing Tat Leung

This paper addresses the problem of evaluating the quality of finite element meshes for the purpose of structural mechanic simulations. It proposes the application of a machine learning model trained on data collected from expert…

Machine Learning · Computer Science 2021-07-23 Joachim Sprave , Christian Drescher

While purely data-driven assessment is feasible for the first levels of the Structural Health Monitoring (SHM) process, namely damage detection and arguably damage localization, this does not hold true for more advanced processes. The tasks…

Computational Engineering, Finance, and Science · Computer Science 2021-05-03 Thomas Simpson , Vasilis Dertimanis , Costas Papadimitriou , Eleni Chatzi

As inelastic structures are ubiquitous in many engineering fields, a central task in computational mechanics is to develop accurate, robust and efficient tools for their analysis. Motivated by the poor performances exhibited by standard…

Numerical Analysis · Mathematics 2018-09-21 Nicola A. Nodargi

We investigate the numerical implementation of functionally graded properties in the context of the finite element method. The macroscopic variation of elastic properties inherent to functionally graded materials (FGMs) is introduced at the…

Computational Physics · Physics 2019-01-18 Emilio Martínez-Pañeda

This paper studies the numerical analysis of a parameter identification problem governed by elliptic equations with power-type nonlinearity. We propose a numerical reconstruction via a suitable least-squares minimization problem based on…

Numerical Analysis · Mathematics 2026-03-10 De-Han Chen , Yi-Hsuan Lin , Irwin Yousept

The traditional element-based topology optimization based on material penalization typically aims at a 0/1 design. Our numerical experiments reveal that the compliance of a smooth design is overestimated when material properties of boundary…

Computational Engineering, Finance, and Science · Computer Science 2020-06-09 Xiaodong Huang

Modeling of physical systems includes extensive use of software packages that implement the accurate finite element method for solving differential equations considered along with the appropriate initial and boundary conditions. When the…

Computational Engineering, Finance, and Science · Computer Science 2018-03-20 O. Kononenko , I. Kononenko
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