Implementation of a hybrid Trefftz finite element for the analysis of elastodynamic media (Lamé soil) in the frequency domain

Michal Šmejkal

Type of document

diplomová práce
master thesis

Author

Michal Šmejkal

Supervisor

Lainer Mirjam

Opponent

Müller Gerhard

Field of study

Konstrukce a dopravní stavby

Study program

Stavební inženýrství

Institutions assigning rank

katedra mechaniky

Rights

A university thesis is a work protected by the Copyright Act. Extracts, copies and transcripts of the thesis are allowed for personal use only and at one?s own expense. The use of thesis should be in compliance with the Copyright Act http://www.mkcr.cz/assets/autorske-pravo/01-3982006.pdf and the citation ethics http://knihovny.cvut.cz/vychova/vskp.html
Vysokoškolská závěrečná práce je dílo chráněné autorským zákonem. Je možné pořizovat z něj na své náklady a pro svoji osobní potřebu výpisy, opisy a rozmnoženiny. Jeho využití musí být v souladu s autorským zákonem http://www.mkcr.cz/assets/autorske-pravo/01-3982006.pdf a citační etikou http://knihovny.cvut.cz/vychova/vskp.html

Metadata

Show full item record

Abstract

The thesis develops numerical tools for dynamic analysis of elastic media. Particularly, the hybrid-Trefftz method is applied in order to approximate the solution of the underlying differential equation expressed in the frequency domain. In addition, wave propagation in unbounded media is investigated and the absorbing boundary modelling approach is described in detail. The main purpose of the work was to develop a program enabling such analysis and implement it in Matlab software. To validate the code, the obtained results are compared to the analytical solutions as well as to the results acquired with the wave based method, for which an already existing code has been provided. Moreover, theoretical aspects of both methods are summarized and compared.