Naslov
New first order shear deformation beam theory with in-plane shear influence

Autori
Senjanović, Ivo ; Vladimir, Nikola ; Hadžić, Neven ; Tomić, Marko

Izvornik
Engineering structures (0141-0296) 110 (2016); 169-183

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

Ključne riječi
Modified Timoshenko beam theory; First order shear deformation theory; New deformation concept; Flexural and in-plane shear vibrations

Sažetak
In the conventional formulation of the Timoshenko beam theory bending and shear deflection cannot be determined uniquely. Recently, an alternative formulation which deals with total deflection and bending deflection has been developed with unique results. In the present paper a new beam theory, taking coupling between flexural and in-plane shear vibrations into account, is derived by employing Hamilton’s principle. First, uncoupled flexural and in-plane shear vibrations are considered. Then, coupling of vibrations, manifested in the case of geometric boundary conditions, is realized in a physically transparent way. Accuracy is confirmed by 2D FEM vibration analysis of illustrative examples. The proposed formulation is superior to the known first order shear deformation beam theories.

Izvorni jezik
Engleski

Znanstvena područja
Brodogradnja, Građevinarstvo, Strojarstvo

POVEZANOST RADA