Naslov
Approximate solution of eigenvalue problem for modal analysis

Autori
Kožar, Ivica ; Jeričević, Željko ; Pecak, Tatjana

Vrsta, podvrsta i kategorija rada
Radovi u zbornicima skupova, cjeloviti rad (in extenso), znanstveni

Izvornik
6th International Congress of Croatian Society of Mechanics (ICCSM) : Book of Abstracts / Smojver, Ivica ; Sorić, Jurica - Zagreb : Hrvatsko društvo za mehaniku (HDM), 2009, 80-80

ISBN
978-953-7539-10-8

Skup
Internatinal Congress of Croatian Society of Mechanics (6 ; 2009)

Mjesto i datum
Dubrovnik, Hrvatska, 30.09.2009. - 02.10.2009

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
eigenvalue problem; approximate solution

Sažetak
The paper presents a novel numerical approach for approximate solution of eigenvalue problem and investigates its suitability for modal analysis of structures. The approach is based on transformation of the matrix equation into frequency domain and subsequent removal of potentially less significant frequencies. The procedure results in a much reduced problem that is used in eigenvalue calculation. After calculation eigenvectors are expanded and transformed back into time domain. The principles are presented in Jeričević [1, 2]. The original eigenvalue problem is transformed from the space domain into the frequency domain using the Fourier transformation matrix F. If certain portions of F are removed according to established principles in digital signal processing the resulting problem is reduced in size. In structural analysis boundary conditions are the most important information that characterizes the structure and is not preserved in the pruning process in the frequency domain. In order to keep the boundary conditions present throughout the frequency domain the original method of approximate solution of linear systems using Fourier transforms has been modified. Numerical examples demonstrate the applicability of the proposed method in modal analysis of structures.

Izvorni jezik
Engleski

Znanstvena područja
Temeljne tehničke znanosti

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