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CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2023/2024
UPOZORNĚNÍ: Jsou dostupné studijní plány pro následující akademický rok.

Variational Principles in Continuum and Structural Mechanics

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Code Completion Credits Range Language
132VPCM Z,ZK 5 2P+1C English
Garant předmětu:
Milan Jirásek
Lecturer:
Martin Horák, Milan Jirásek
Tutor:
Martin Horák, Milan Jirásek
Supervisor:
Department of Mechanics
Synopsis:

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.

Requirements:

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

Syllabus of lectures:
Syllabus of tutorials:
Study Objective:

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.

Study materials:

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

Note:
Time-table for winter semester 2023/2024:
Time-table is not available yet
Time-table for summer semester 2023/2024:
06:00–08:0008:00–10:0010:00–12:0012:00–14:0014:00–16:0016:00–18:0018:00–20:0020:00–22:0022:00–24:00
Mon
roomTH:A-228

14:00–15:50
(lecture parallel1)
Thákurova 7 (budova FSv)
A228
roomTH:A-228

16:00–17:50
ODD WEEK

(lecture parallel1
parallel nr.101)

Thákurova 7 (budova FSv)
A228
Tue
Wed
Thu
Fri
The course is a part of the following study plans:
Data valid to 2024-04-21
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