| Authors: | Atanacković, Teodor Janev, Marko Konjik, Sanja Pilipović, Stevan Zorica, Dušan |
Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | Vibrations of an elastic rod on a viscoelastic foundation of complex fractional Kelvin–Voigt type | Journal: | Meccanica | Volume: | 50 | Issue: | 7 | First page: | 1679 | Last page: | 1692 | Issue Date: | 18-Jul-2015 | Rank: | M21 | ISSN: | 0025-6455 | DOI: | 10.1007/s11012-015-0128-x | Abstract: | We consider vibrations of an elastic rod loaded by axial force of constant intensity and positioned on a viscoelastic foundation of complex order fractional derivative type. The solution to the problem is obtained by the separation of variables method. The critical value of axial force, guaranteeing stability, is determined. |
Keywords: | Dynamic stability | Elastic rod on viscoelastic foundation | Fractional order constitutive equations | Real and complex order fractional derivatives | Transversal vibrations | Publisher: | Springer Link | Project: | Viscoelasticity of fractional type and shape optimization in a theory of rods Methods of Functional and Harmonic Analysis and PDE with Singularities Integrated system for detection and estimation of fire development by real-time monitoring of critical parameters Development of Dialogue Systems for Serbian and Other South Slavic Languages Secretariat for Science of Vojvodina, Grant 114-451-1084 |
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