Naslov
Approximate natural vibration analysis of rectangular plates with openings using assumed mode method

Autori
Cho, Dae Seung ; Vladimir, Nikola ; Choi, Tae Muk

Izvornik
International Journal of Naval Architecture and Ocean Engineering (2092-6782) 5 (2013), 3; 478-491

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Natural vibration analysis; Flexural vibrations; Assumed mode method; Lagrange's equations

Sažetak
Natural vibration analysis of plates with openings of different shape represents an important issue in naval architecture and ocean engineering applications. In this paper, a procedure for vibration analysis of plates with openings and arbitrary edge constraints is presented. It is based on the assumed mode method, where natural frequencies and modes are determined by solving an eigenvalue problem of a multi-degree-of-freedom system matrix equation derived by using Lagrange's equations of motion. The presented solution represents an extension of a procedure for natural vibration analysis of rectangular plates without openings, which has been recently presented in the literature. The effect of an opening is taken into account in an intuitive way, i.e. by subtracting its energy from the total plate energy without opening. Illustrative numerical examples include dynamic analysis of rectangular plates with rectangular, elliptic, circular as well as oval openings with various plate thicknesses and different combinations of boundary conditions. The results are compared with those obtained by the finite element method (FEM) as well as those available in the relevant literature, and very good agreement is achieved.

Izvorni jezik
Engleski

Znanstvena područja
Brodogradnja, Strojarstvo

POVEZANOST RADA