Journal of
Faculty of Civil Engineering


FACULTY JOURNALS
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CONFERENCE PROCEEDINGS
6th INTERNATIONAL CONFERENCE
CONTEMPORARY ACHIEVEMENTS IN CIVIL ENGINEERING 2018 , 2018.y., pp. 203-208


ON DYNAMIC VIBRATION ABSORBER MODELS FOR HARMONIC EXCITATION
 
DOI: 10.14415/konferencijaGFS2018.018
UDC: 534.1:519.87
CC-BY-SA 4.0 license
Author : Spasić, Dragan T.; Okuka, Aleksandar S.
 
 Summary:
 A primary mass attached through a solid horizontal rod to the wall, able to slide without friction along the horizontal line under a periodic force modeled by a sine function, and an added mass attached to the main one through another horizontal solid rod, also able to slide along the same line without friction, represent a problem encountered in almost all textbooks on mechanical vibrations. However, many of the books consider conditions ensuring zero steady-state amplitude of the primary mass and just several of them consider conditions ensuring either reduction of the primary mass amplitude or cutting one down as much as possible. Once again, in the whole class of books, one can find the rods of either Hookean or the Kelvin-Voigt type, i.e. linear springs or linear springs connected in parallel to dashpots. In this work, the vibration absorbing conditions ensuring the reduction of the primary mass steady-state amplitude will be stated for the Kelvin-Zener model of viscoelastic rod and its fractional generalization. The obtained conditions will be related to the restrictions on coefficients in these models that follow from the Clausius-Duhem inequality. The proposed model could be used for the study of energy dissipation in mechanical systems incorporating polymers, elastomers, living tissues and other real materials.
 
 Keywords:
 Passive vibration control, fractional Kelvin-Zener model, Clausius-Duhem inequality