Numerical Analysis of Structures

Lecturer:

Jan Zeman (guarantor)

Tutor:

Jan Zeman (guarantor)

Supervisor:

Department of Mechanics

Synopsis:

Overview of direct stiffness method of structural mechanics. Weak solution of one-dimensional elasticity equations. Galerkin method, principle of the Finite Element method. Steady state heat conduction in one dimension. Two-dimensional heat conduction problem, triangular finite elements. Two-dimensional elasticity problems. Thin beams. Convergence of FEM, error estimates.

Requirements:

no prerequisities

Syllabus of lectures:

Syllabus of tutorials:

Study Objective:

Students will understand all essential steps of FEM and will be able to apply it to the basic problems of structural mechanics and heat transfer problems. A basic understanding of FEM implementation principles will be ensured by MATLAB-oriented exercises.

Study materials:

[1] J. Fish and T. Belytschko: A First Course in Finite Elements, John Wiley & Sons, 2007

[2] P. Krysl: A Pragmatic Introduction to the Finite Element Method for Thermal and Stress Analysis, World Scientific Press, 2006

[3] Course webpage at http://mech.fsv.cvut.cz/~zemanj/index.php?id=teaching#nas

Note:

Time-table for winter semester 2020/2021:

	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
Tue	roomTH:B-379 16:00–17:50 (lecture parallel1) Thákurova 7 (FSv-budova A) B379roomTH:B-379 18:00–19:50 (lecture parallel1 parallel nr.101) Thákurova 7 (FSv-budova A) B379
Fri
Thu
Fri

Time-table for summer semester 2020/2021:

Time-table is not available yet

The course is a part of the following study plans:

• Civil Engineering, branch Building Structures (compulsory course)
• Civil Engineering, branch Building Structures (compulsory course)
• Civil Engineering, branch Building Structures (compulsory course)
• Civil Engineering, branch Building Structures (compulsory course)