Numerical Methods 19282157H

Mathematical background and modeling using Finite Element Method. Problems discretization. Analysis of some buckling problems and dynamics of complex systems. The equations of motion and the amplitude equations. Integration of the equations of motion. Numerical algorithm for non-linear problems in construction. Physical and geometric characteristics of the nonlinear mechanical problems. The global process of discretization of boundary issues, MES and differential methods. The concepts of alternative discretization methods.

Lecture - assessment is carried out in the form of an open test. Te test of the lecture pass is written in the 8th lecture, it consists of 10 questions assessed on a scale of 0-1 points. The final grade is obtained by total number of points, which translate into the final grade:
9.5-10 points - very good grade,
8.5-9 points db + rating,
7.5-8 points db rating,
6.5-7 points dst + assessment,
6points dst. with the proviso that in the event of failure to meet any of the learning outcomes, the final grade is negative.

Specialist workshop - Implementation of 7 individual studies and their defense. There will be 11 points from defense. which translates into a final grade according to the following scoring:

10.5-11 points very good,
9.5-10 points db + rating,
8.5-9 points db rating,
7.5-8 points dst + assessment,
6.0-7 points dst.
For untimely completion of tasks or for their incorrect execution, you lose 0.5 points each.

[1] Becker E.B., Carey G. F., Oden J. T.: Finite elements. Prentice-Hall, New Jersey 1981.
[2] Kardestuncer H. Editor-in-Chief: Finite element Handbook. McGraw-Hill book company 1987.
[3] Zienkiewicz O.C.: Finite Element Method, 3rd or newer edition
[4] Kindmann, R.: Steel structures : design using FEM. Ernst and Sohn, Berlin 2011.
[5] Shivaswamy S.: Finite element analysis and programming : an introduction. Oxford : Alpha Science
International Ltd., 2010.
[6] Liu G. R.: Meshfree methods: moving beyond the finite element method, Taylor and Francis, 2010.
[7] Cecot W.: Analysis of selected in-elastic problems by h-adaptive finite element method, Politechnika Krakowska, 2005.