CONFERENCE PROCEEDINGS
6th INTERNATIONAL CONFERENCE
CONTEMPORARY ACHIEVEMENTS IN CIVIL ENGINEERING 2018 , 2018.y., pp. 203-208
ON DYNAMIC VIBRATION ABSORBER MODELS FOR HARMONIC EXCITATION
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| DOI: 10.14415/konferencijaGFS2018.018 |
| UDC: 534.1:519.87 |
| CC-BY-SA 4.0 license |
| Author : Spasić, Dragan T.; Okuka, Aleksandar S. |
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| | 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. |
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| | Keywords: |
| | Passive vibration control, fractional Kelvin-Zener model, Clausius-Duhem inequality |
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