This paper considers the case of Beck’s column, a linear elastic cantilever columnsubjected to a constant follower load at its free end. The column foundation is modeled as bed ofhereditary elements that react with a vertical force distributed along the beam axis. The reactingsupports are modeled with spring-pot element that is a two parameters mechanical elements(C; ) with an intermediate behavior between spring and dashpot. The constitutive equation ofthe spring-pot involves the so called fractional order derivatives and dynamic stability problemin 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 differentialequation (FODE), system that governs the dynamic stability. Some numerical examples hasbeen reported in the paper for two-degree of freedom system.
|Numero di pagine||8|
|Stato di pubblicazione||Published - 2017|
All Science Journal Classification (ASJC) codes
- Mechanical Engineering
- Mechanics of Materials