Forced oscillations of a body attached to a viscoelastic rod of fractional derivative type
Abstract
We study forced oscillations of a rod with a body attached to its free end so that the motion of a system is described by two sets of equations, one of integer and the other of the fractional order. To the constitutive equation we associate a single function of complex variable that plays a key role in finding the solution of the system and in determining its properties. This function could be defined for a linear viscoelastic bodies of integer/fractional derivative type.
- Publication:
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arXiv e-prints
- Pub Date:
- July 2012
- DOI:
- 10.48550/arXiv.1207.0196
- arXiv:
- arXiv:1207.0196
- Bibcode:
- 2012arXiv1207.0196A
- Keywords:
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- Mathematical Physics
- E-Print:
- International Journal of Engineering Science 64 (2013) 54-65