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Variational Principles in Continuum and Structural Mechanics

132VPCM
Architecture and Construction

Over deze cursus

Students will be guided to explore the general structure of discrete, continuum and discretized models used in linear and nonlinear statics and dynamics of structures (beams, frames, plates) and solid bodies. Emphasis will be placed on the universal nature of the underlying fundamental principles, such as the principle of virtual work (or power) and variational principles (Lagrange, Castigliano, Hellinger-Reissner, Hu-Washizu, Hashin-Shtrikman, Hamilton), and on the duality between static and kinematic equations/operators. Tensorial notation will be introduced and used throughout the course.

Leerresultaten

The classes combine lectures and seminars with active student participation. A key role is played by problems assigned as homework, which form the basis of presentations and discussions in class. The objective is not only to transfer specific knowledge, but also to develop students aptitude for independent thinking and critical analysis.

Voorkennis

Prerequisites: Basic concepts of structural mechanics (beam models, hyperstatic frames) and strength of materials (elastic stress-strain law, Cauchy equilibrium equations).

Bronnen

  • Lecture notes prepared by the instructor
  • M. Jirásek, Z. P. Bažant: Inelastic Analysis of Structures, Wiley 2002
  • M. Itskov: Tensor Algebra and Tensor Analysis for Engineers, Springer 2013

Activiteiten

Lectures, seminars, self-study and exercises

Aanvullende informatie

  • Studiepunten
    ECTS 5
  • Contact uren per week
    3
  • Instructeurs
    prof. Ing. Jirásek Milan DrSc., Ing. Horák Martin Ph.D.
  • Instructievorm
    Hybrid
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Aanbod

  • Startdatum

    17 februari 2025

    • Einddatum
      21 september 2025
    • Periode *
      Summer 2024/2025
    • Voertaal
      Engels
    Inschrijvingsperiode gesloten
Dit aanbod is voor studenten van L'X (France)