English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

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 wavelength is investigated and the analytic expression of the buckling amplitude is derived in the weakly nonlinear regime by considering both geometric and material (hyper-elastic) nonlinearities. The bifurcation is supercritical in the long wavelength domain for any elastic constitutive law, and subcritical in the short wavelength limit for a limited range of nonlinear material parameters.

Synchronous whirling of spinning homogeneous elastic cylinders: linear and weakly nonlinear analyses