Naslov
The exact curved beam finite element

Autori
Sesartić, Renata ; Kozulić, Vedrana ; Gotovac, Blaž

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

Izvornik
Proceedings of the 6th International Congress of the Croatian Society of Mechanics / Smojver, Ivica ; Sorić, Jurica - Zagreb : Hrvatsko društvo za mehaniku (HDM), 2009, 1-8

ISBN
978-953-7539-10-8

Skup
6th International Congress of Croatian Society of Mechanics

Mjesto i datum
Dubrovnik, Hrvatska, 30.09.2009. - 02.10.2009

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
curved beam; algebraic-trigonometric basis functions; shear locking; membrane locking; stiffnes matrix

Sažetak
This paper presents the exact curved beam finite element with six degrees of freedom for linear static analysis of the plane arch structures with constant curvature and cross – section. Introducing expressions for internal forces into equilibrium equations of the differential part of the arch element, the system of three differential equations of the second order was obtained. The system of three differential equilibrium equations of the second order was transformed into the one equivalent differential equation expressed through only one component of the displacement. Three shape functions are related to each unit support displacements. In this way the full set of 18 algebraic-trigonometric shape functions per one finite element is derived. These shape functions include the coupled influences of bending, shear and axial forces. Presented curved element is exact in the sense that for the arch with constant curvature and loading placed in nodes yields the exact results for any mesh density. Using the exact curved beam finite elements numerical model was created. The presented numerical model is illustrated by examples of the arch structures for various cases of loading and boundary conditions.

Izvorni jezik
Engleski

Znanstvena područja
Građevinarstvo

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