Naslov
Approximate modal analysis using Fourier decomposition

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

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

Izvornik
IOP Conference Series: Materials Science and Engineering, Vol. 10, No. 1 / - : IOP Publishing, 2010

Skup
9th World Congress on Computational Mechanics and 4th Asian Pacific Congress on Computational Mechanics

Mjesto i datum
Sydney, Australija, 19.07.2010. - 23.07.2010

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Recenziran

Ključne riječi
Fourier transformation ; eigenvalues ; dynamic analysis ; structures

Sažetak
The paper presents a novel numerical approach for approximate solution of eigenvalue problem and investigates its suitability for modal analysis of structures with special attention on plate structures. The approach is based on Fourier 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]. Fourier transform can be formulated in a way that some parts of the matrix that should not be approximated are not transformed but are fully preserved. In this paper we present formulation that preserves central or edge parts of the matrix and compare it with the formulation that performs transform on the whole matrix. Numerical experiments on transformed structural dynamic matrices describe quality of the approximations obtained in modal analysis of structures. On the basis of the numerical experiments, from the three approaches to matrix reduction one is recommended.

Izvorni jezik
Engleski

Znanstvena područja
Kemija, Biologija, Građevinarstvo

POVEZANOST RADA