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Séance de cours

Analyse non linéaire des structures

Dans cours

CIVIL-449: Nonlinear analysis of structures

This course deals with nonlinear modelling of structures under mechanical loading. ...

Description

Cette séance de cours couvre la révision des concepts de base de l'analyse structurelle matricielle, y compris la matrice de rigidité des éléments simples, la transformation géométrique et la condensation statique. Des exemples sont donnés pour les structures composées de barres, en se concentrant sur le comportement linéaire des matériaux élastiques et la réponse géométrique.

Enseignant·e·s (3)

Dimitrios Lignos

Prof. Lignos joined the École Polytechnique Féderale de Lausanne (EPFL) in 2016 from McGill University in Canada where he was a tenured Associate Professor and a William Dawson Scholar for Infrastructure Resilience. He holds a diploma (National Technical University of Athens, NTUA, 2003), M.S. (Stanford University, 2004) and Ph.D. (Stanford University, 2008). In addition, he was a post-doctoral scientist at Stanford University (2009) and in Kyoto University (2010). Prof. Lignos teaches graduate and undergraduate courses in seismic design, nonlinear behaviour of steel and composite structures as well as supplemental damping systems, Structural Stability, Nonlinear Analysis and Performance-based Earthquake Engineering. His awards for teaching, research and service in Civil Engineering include the 2011 Outstanding Teaching Award (Faculty of Engineering, McGill University), as well as the Outstanding reviewer (2012, 2013) award from ASCE, the 2013 State-of-the-Art in Civil Engineering Award by ASCE and the 2014 Christophe Pierre Award for Research Excellence - Early Career. Just recently, he received the 2019 Walter L. Huber Civil Engineering Research Prize from ASCE for significant contributions in developing state of the art methods to simulate extreme limit states in steel structures.Prof. Lignos is a member of ASCE and the Earthquake Engineering Research Institute. He acts as an Associate Editor for Metal Structures and Seismic Effects of the ASCE Journal of Structural Engineering. He joined the Editorial Board of Earthquake Spectra and Earthquake Engineering and Structural Dynamics International journals. He serves as an acting member of the CEN/TC 250/SC 8/WG 2 and has been selected as a member of the Project Team (PT2) for the Eurocode 8-Part 1 Current Revisions for Steel and Composite Structures. He is also a member of the Canadian Standards Association (CSA) S16 technical committee for Steel Structures. Prof. Lignos is involved as a NEHRP consultant in numerous research-to-practice projects related to the behaviour and nonlinear modelling and analysis of structures applicable to the engineering practice through the Applied Technology Council (ATC). Detailed Curriculum Vitae (last update September 2018)

Savvas Saloustros

Katrin Beyer

Since 2017 Associate Professor, School of Architecture, Civil and Environmental Engineering (ENAC), EPFL. Head of the Earthquake Engineering and Structural Dynamics (EESD) Laboratory 2010-2017 Assistant Professor, EPFL. 2008-2010 Post-doctoral researcher, ETH Zürich. 2003-2007 Ph.D., Roseschool / Università di Pavia, Italy. 2001-2003 Ove Arup & Partners, Advanced Technology and Research Group, London. 2001 Diploma, Civil engineering, ETH Zürich.

Source officielle

Concepts associés (32)

Direct stiffness method

As one of the methods of structural analysis, the direct stiffness method, also known as the matrix stiffness method, is particularly suited for computer-automated analysis of complex structures including the statically indeterminate type. It is a matrix method that makes use of the members' stiffness relations for computing member forces and displacements in structures. The direct stiffness method is the most common implementation of the finite element method (FEM).

Finite element method in structural mechanics

The finite element method (FEM) is a powerful technique originally developed for numerical solution of complex problems in structural mechanics, and it remains the method of choice for complex systems. In the FEM, the structural system is modeled by a set of appropriate finite elements interconnected at discrete points called nodes. Elements may have physical properties such as thickness, coefficient of thermal expansion, density, Young's modulus, shear modulus and Poisson's ratio.

Stiffness matrix

In the finite element method for the numerical solution of elliptic partial differential equations, the stiffness matrix is a matrix that represents the system of linear equations that must be solved in order to ascertain an approximate solution to the differential equation. For simplicity, we will first consider the Poisson problem on some domain Ω, subject to the boundary condition u = 0 on the boundary of Ω. To discretize this equation by the finite element method, one chooses a set of basis functions {φ_1, .

Méthode des éléments finis

En analyse numérique, la méthode des éléments finis (MEF, ou FEM pour finite element method en anglais) est utilisée pour résoudre numériquement des équations aux dérivées partielles. Celles-ci peuvent par exemple représenter analytiquement le comportement dynamique de certains systèmes physiques (mécaniques, thermodynamiques, acoustiques).

Linear elasticity

Linear elasticity is a mathematical model of how solid objects deform and become internally stressed due to prescribed loading conditions. It is a simplification of the more general nonlinear theory of elasticity and a branch of continuum mechanics. The fundamental "linearizing" assumptions of linear elasticity are: infinitesimal strains or "small" deformations (or strains) and linear relationships between the components of stress and strain. In addition linear elasticity is valid only for stress states that do not produce yielding.

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Séances de cours associées (55)

Analyse des éléments finis: Mécanismes avancés en ingénierie

Fournit un aperçu de l'analyse des mécanismes avancés utilisant la méthode des éléments finis et l'analyse des éléments finis dans les applications d'ingénierie.

Torsion des sections transversales axisymétriques

Couvre l'analyse des organes sous torsion pure et des barres circulaires soumises à torsion, y compris les contraintes de cisaillement et l'angle de torsion.

Déformation des matériaux : contraintes, déformations et élasticité

Explore la déformation des matériaux à travers les contraintes, les déformations et l'élasticité, en se concentrant sur le comportement des métaux, des céramiques et des polymères.

Torsion des sections transversales axisymétriques

Explore la torsion des sections transversales axisymétriques, en se concentrant sur les barres circulaires de matériaux linéairement élastiques et leur efficacité à résister aux charges de torsion.

NEMS et MEMS: Systèmes micro- et nanoélectromécaniques

Explore les systèmes micro- et nanoélectromécaniques, y compris les applications pratiques, les résonateurs RF, la détection des mouvements et la détection de masse sensible à l'aide de nanotubes de carbone.

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Concepts associés (32)

Direct stiffness method

Finite element method in structural mechanics

Stiffness matrix

Méthode des éléments finis

Linear elasticity

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