Search results for "State space approach"

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Stability analysis of Beck's column over a fractional-order hereditary foundation

2018

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.

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 ArticlesMathematics
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