Abstract
Polymeric viscoelastic material has been developed as an important industrial material for use in shock and vibration devices. Proper use of the material requires a deep understanding of the characteristics for describing an appropriate mathematical model. This paper describes the fractional differential approach to model the polymeric viscoelastic material. The definition and the theory of the fractional differentials for describing the fractional differential equation of motion of a single degree of freedom viscoelastic oscillator are given. The fractional differential equation is solved and the characteristics of an oscillatory system with the material are discussed.
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