Numerical Methods in Mechanics I

Garant předmětu:

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Department of Mechanics

Synopsis:

The objective of the course is to deliver an introduction to numerical methods for solving partial differential equations, with particular focus on finite element method. It is suitable for students without previous knowledge in the field. It consists of the two main parts:

- overview and derivation of fundamental equations for theory of elasticity and heat transfer, introduction to method of weighted residuals, strong and weak solution, choice of approximation and weight functions.

- application of finite element and finite difference method to solution of selected problems from engineering practice (1D elasticity, beams, grids on elastic foundation, plates on elastic foundation, 1D and 2D stationary and transient heat transfer).

The students will not only understand theoretical aspects of the methods, but will use and further develop prototype implementations in Matlab to understand the algorithmic aspects of the methods. During the seminars, the students will individually or in a small teams solve selected problems, interpret and discuss results.

Requirements:

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Study materials:

Fish, Belytschko, A First Course in Finite Elements, Wiley, 2007

Z. Bittnar, J. Šejnoha: Numerical Methods in Structural Mechanics, ASCE Publications, 1996

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Further information:

No time-table has been prepared for this course

The course is a part of the following study plans: