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Variational Principles in Continuum and Structural Mechanics

132VPCM
Architecture and Construction

About this course

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.

Learning outcomes

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.

Course requirements

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

Resources

  • 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

Activities

Lectures, seminars, self-study and exercises

Additional information

  • Credits
    ECTS 5
  • Contact hours per week
    3
  • Instructors
    prof. Ing. Jirásek Milan DrSc., Ing. Horák Martin Ph.D.
  • Mode of instruction
    Hybrid
If anything remains unclear, please check the FAQ of CTU (Czech Republic).

Offering(s)

  • Start date

    17 February 2025

    • Ends
      21 September 2025
    • Term *
      Summer 2024/2025
    • Instruction language
      English
    • Register between
      24 Oct - 24 Nov 2024
    Enrolment open
    Apply now
These offerings are valid for students of TUM (Germany)