Naslov
A comparative analysis of analitical and numerical solutions for uniformly loaded cantilever beam subjected to large displacment

Autori
Kostović, Dar ; Lozina, Željan

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

Izvornik
Proceedings of 3rd DAAAM / - Split, 2004, 41-46

Skup
3rd DAAAM Int. Conf. Advanced Technologies for Developments Countries ATDC'04

Mjesto i datum
Split, Hrvatska, 23.06.2004. - 26.06.2004

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
nonlinear numerical analysis; line systems; analytical solution; Taylor series; accuracy; numerical efficiency; robustness; large displacement

Sažetak
In this paper, the methods for solving large displacements of a cantilever beam subjected to a uniformly distributed load and large displacements are analyzed. The methods for nonlinear numerical analysis of beam structures are presented in chronological order. We start the analysis with a method that uses a classical stiffness matrix for small displacements. The other methods for solutions of geometrically nonlinear beam structures comprise development of respective finite element matrices based on continuum mechanics. A virtual work approach and total and an updated Lagrangian approach for large displacement of beam structures are presented and compared with other approaches from relevant literature. A comparative analysis of methods for nonlinear numerical solutions of a geometrically nonlinear cantilever beam with a uniformly distributed load is performed, in order to determine which methods are most suitable for engineering application in terms of accuracy, numerical efficiency, and robustness. The results obtained for all numerical methods are then compared with the exact analytical solutions.

Izvorni jezik
Engleski

Znanstvena područja
Strojarstvo

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