The dependence of the jump in the critical follower force for a viscoelastic bar on the form of the non-linear internal viscosity

Autor:	S.A. Agafonov, D.V. Georgiyevskii
Rok vydání:	2011
Předmět:	Physics Bar (music) Applied Mathematics Mechanical Engineering Constitutive equation Mechanics Strain rate Viscoelasticity Stress (mechanics) Viscosity Nonlinear system Classical mechanics Mechanics of Materials Modeling and Simulation Jump
Zdroj:	Journal of Applied Mathematics and Mechanics. 75:367-373
ISSN:	0021-8928
Popis:	The transverse oscillations of a viscoelastic bar under the action of a follower force are considered. The constitutive relation is the non-linear relation between the stress, strain and strain rate, where the non-linear part is described by a homogeneous form of the fifth degree. A numerical-analytical investigation of the stability showed that the three values of the critical follower force, corresponding to each of the three coefficients of viscosity available in the model, are independent of these coefficients and change in comparison with the case of a cubic viscosity.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::e728fd5af61c51133fd5778f4fc2bc53 https://doi.org/10.1016/j.jappmathmech.2011.07.016 Zobrazit plný text záznamu Full Text from ScienceDirect