Dynamic Behaviors of a Fractional Order Viscoelastic Two-Member Truss

Yuan Ping Li; Wei Zhang

doi:10.4028/www.scientific.net/AMM.90-93.951

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 90-93Dynamic Behaviors of a Fractional Order...

Dynamic Behaviors of a Fractional Order Viscoelastic Two-Member Truss

Abstract:

The fractional dynamics equation of a viscoelastic two-member truss system, in which fractional derivative model introduced to simulate the materials’ characteristics, is proposed. The simplified single DOF differential equation is developed combined with boundary conditions and symmetry. Dynamic behaviors of the fractional single DOF system with harmonic loads are discussed by numerical calculations. The results show that: the system may lead to chaotic motion via period-doubling bifurcations or intermittent routes; the dynamical character is greatly inflected by the varying of excitation amplitude or damping coefficient or fractional order.

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Periodical:

Applied Mechanics and Materials (Volumes 90-93)

Pages:

951-957

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.90-93.951

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Online since:

September 2011

Authors:

Yuan Ping Li, Wei Zhang

Keywords:

Chaos, Fractional Derivative, Two-Member Truss, Viscoelasticity

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