%0 Journal Article
%T Synchronous whirling of spinning homogeneous elastic cylinders: linear and weakly nonlinear analyses
%+ Physique et Mécanique des Milieux Divisés (PMMD)
%A Mora, Serge
%< avec comité de lecture
%@ 0924-090X
%J Nonlinear Dynamics
%I Springer Verlag
%V 100
%N 3
%P 2089-2101
%8 2020-05
%D 2020
%R 10.1007/s11071-020-05639-x
%K Asymptotic analysis
%K Elasticity
%K Bifurcation
%K Instability
%Z Engineering Sciences [physics]Journal articles
%X Stationary whirling of slender and homogeneous (continuous) elastic shafts rotating around their axis, with pin-pin boundary condition at the ends, is revisited by considering the complete deformations in the cross section of the shaft. The stability against a synchronous sinusoidal disturbance of any wave length is investigated and the analytic expression of the buckling amplitude is derived in the weakly non-linear regime by considering both geometric and material (hyper-elastic) non-linearities. The bifurcation is super-critical in the long wave length domain for any elastic constitutive law, and sub-critical in the short wave length limit for a limited range of non-linear material parameters.
%G English
%2 https://hal.science/hal-02733481/document
%2 https://hal.science/hal-02733481/file/Art_Mora_Nonlinear_Dyn._2020.pdf
%L hal-02733481
%U https://hal.science/hal-02733481
%~ CNRS
%~ LMGC
%~ MIPS
%~ UNIV-MONTPELLIER
%~ UM-2015-2021