TY - GEN
T1 - A state-space approach to dynamic stability of fractional-order systems
T2 - 23rd Conference of the Italian Association of Theoretical and Applied Mechanics, AIMETA 2017
AU - Bologna, E.
AU - Deseri, L.
AU - Zingales, M.
N1 - Publisher Copyright:
© 2017 Centro Servizi d'Ateneo S.r.l. All rights reserved.
PY - 2017
Y1 - 2017
N2 - This paper considers the case of Beck's column, a linear elastic cantilever column subjected to a constant follower load at its free end. The column foundation is modeled as bed of hereditary elements that react with a vertical force distributed along the beam axis. The reacting supports are modeled with spring-pot element that is a two parameters mechanical elements (Cβ β) with an intermediate behavior between spring and dashpot. The constitutive equation of the spring-pot involves the so called fractional order derivatives and dynamic stability problem in presence of fractional-order operator must be faced for the Beck's column. In this study, the authors generalize Routh-Hurwitz theorem of stability on the fractional order differential equation (FODE), system that governs the dynamic stability. Some numerical examples has been reported in the paper for two-degree of freedom system.
AB - This paper considers the case of Beck's column, a linear elastic cantilever column subjected to a constant follower load at its free end. The column foundation is modeled as bed of hereditary elements that react with a vertical force distributed along the beam axis. The reacting supports are modeled with spring-pot element that is a two parameters mechanical elements (Cβ β) with an intermediate behavior between spring and dashpot. The constitutive equation of the spring-pot involves the so called fractional order derivatives and dynamic stability problem in presence of fractional-order operator must be faced for the Beck's column. In this study, the authors generalize Routh-Hurwitz theorem of stability on the fractional order differential equation (FODE), system that governs the dynamic stability. Some numerical examples has been reported in the paper for two-degree of freedom system.
KW - Dynamic stability
KW - Fractional order differential equation
KW - Routh-hurwitz theorem
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M3 - Conference contribution
AN - SCOPUS:85045731664
T3 - AIMETA 2017 - Proceedings of the 23rd Conference of the Italian Association of Theoretical and Applied Mechanics
SP - 969
EP - 976
BT - AIMETA 2017 - Proceedings of the 23rd Conference of the Italian Association of Theoretical and Applied Mechanics
A2 - Feo, Luciano
A2 - Fraternali, Fernando
A2 - Ascione, Luigi
A2 - Berardi, Valentino Paolo
A2 - Tralli, Antonio Michele
PB - Centro Servizi d'Ateneo S.r.l.
Y2 - 4 September 2017 through 7 September 2017
ER -