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## Numerical analysis of 3D structures with constant properties in the third direction

Čolak, Ivo; Gotovac, Blaž; Kozulić, Vedrana
Numerical analysis of 3D structures with constant properties in the third direction // International Scientific Symposium MODELING OF STRUCTURES - Proceedings / Čolak, Ivo (ur.).
Mostar: University of Mostar, 2008. str. 69-78 (predavanje, međunarodna recenzija, cjeloviti rad (in extenso), znanstveni)

Naslov
Numerical analysis of 3D structures with constant properties in the third direction

Autori
Čolak, Ivo ; Gotovac, Blaž ; Kozulić, Vedrana

Izvornik
International Scientific Symposium MODELING OF STRUCTURES - Proceedings / Čolak, Ivo - Mostar : University of Mostar, 2008, 69-78

Skup
International Scientific Symposium MODELING OF STRUCTURES

Mjesto i datum
Mostar, Bosna i Hercegovina, 13-15.11.2008.

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Numerical analysis; threedimensional structures; finite elements; constant properties; finite prism

Sažetak
Space 3D structures with constant geometry and material properties in the third direction are often encountered in the engineering practice so that they deserve a more complex approach than the usual procedures employed to deduce to different submodels like beams, walls, plates and shells. Here is presented the threedimensional state of the mentioned structures as a combination of states in a transversal plane and in the third coordinate direction. A cross section was discretisated on twodimensional finite elements and the third coordinate direction was solved analytically with the aplication of the members of trigonometric polynomials in accordance with the rules of Fourier's analysis. Although it is linear problem, this concept is based on the analogy with the analysis of nonlinear problems so that the analysis is derived with the given accuracy with respect to the third coordinate direction. Namely, all relevant values on the third direction are developed into Fourier's series, so that these values can be computed with the given accuracy. The efficiency of the developed numerical model used for the analysis of space threedimensional structures with constant properties in the third direction has been confirmed in solving actual characteristic examples of engineering structures.

Izvorni jezik
Engleski

Znanstvena područja
Građevinarstvo