Dynamic Behaviors of a Fractional Order Viscoelastic Two-Member Truss

Abstract:

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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.

Info:

Periodical:

Edited by:

Xuejun Zhou

Pages:

951-957

DOI:

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

Citation:

Y. P. Li and W. Zhang, "Dynamic Behaviors of a Fractional Order Viscoelastic Two-Member Truss", Applied Mechanics and Materials, Vols. 90-93, pp. 951-957, 2011

Online since:

September 2011

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$35.00

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