6533b7d8fe1ef96bd126ad53
RESEARCH PRODUCT
Stability analysis of Beck's column over a fractional-order hereditary foundation
Massimiliano ZingalesEmanuela Bolognasubject
General MathematicsMathematical analysisGeneral EngineeringGeneral Physics and Astronomy02 engineering and technologyFractional calculu01 natural sciencesStability (probability)010305 fluids & plasmasFractional calculusPhysics and Astronomy (all)020303 mechanical engineering & transportsEngineering (all)0203 mechanical engineering0103 physical sciencesFollower forceRouth–Hurwitz criterionOrder (group theory)Mathematics (all)State space approachSettore ICAR/08 - Scienza Delle CostruzioniColumn (data store)Research ArticlesMathematicsdescription
This paper considers the case of Beck's column resting on a hereditary bed of independent springpots. The springpot possesses an intermediate rheological behaviour among linear spring and linear dashpot. It is defined by means of couple ( C β , β ) that characterize the material of the element and is ruled by a Caputo's fractional derivative. In this paper, we investigate the critical load of the column under the action of a follower load by means of a novel complex transform that allows to use the Routh–Hurwitz theorem in the complex half-plane for the stability analysis.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2018-10-01 |