Influence of nonlinear stiffness on the dynamics of a slender elastic beam under torsional oscillations


Autoria(s): Silveira, Marcos; Pontes, Bento R.; Balthazar, José M.
Contribuinte(s)

Universidade Estadual Paulista (UNESP)

Data(s)

02/03/2016

02/03/2016

2014

Resumo

This study focuses on analysing the effects of nonlinear torsional stiffness on the dynam-ics of a slender elastic beam under torsional oscillations, which can be subject to helical buckling.The helical buckling of an elastic beam confined in a cylinder is relevant to many applications. Someexamples include oil drilling, medical cateters and even the conformation and functioning of DNAmolecules. A recent study showed that the formation of the helical configuration is a result of onlythe torsional load, confirming that there is a different path to helical buckling which is not related tothe sinusoidal buckling, stressing the importance of the geometrical behaviour of the beam. A lowdimensional model of an elastic beam under torsional oscillations is used to analyse its dynamical be-haviour with different stiffness characteristics, which are present before and after the helical buckling.Hardening and softening characteristics are present, as the effects of torsion and bending are coupled.With the use of numerical algorithms applied to nonlinear dynamics, such as bifurcation diagramsand basins of attraction, it is shown that the nonlinear stiffness can shift the bifurcations and inducechanges in the stability of the desirable and undesirable solutions. Therefore, the proper modellingof these stiffness nonlinearities seems to be important for a better understanding of the dynamicalbehaviour of such beams.

Formato

159-169

Identificador

http://dx.doi.org/10.4028/www.scientific.net/AMM.706.159

Applied Mechanics and Materials, v. 706, p. 159-169, 2014.

1662-7482

http://hdl.handle.net/11449/135675

10.4028/www.scientific.net/AMM.706.159

8286209184527011

Idioma(s)

eng

Relação

Applied Mechanics and Materials

Direitos

closedAccess

Palavras-Chave #Nonlinear stiffness #Slender beams #Torsional oscillation
Tipo

info:eu-repo/semantics/article