Dynamic behaviors of nonlinear fractional-order differential oscillator

Author:

Zhang Wei,Liao Shao-kai,Shimizu Nobuyuki

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,Mechanics of Materials

Reference8 articles.

1. K. Addolfsson, Mikael Enelund, S. Larsson, Models and numerical procedures for nonlinear fractional order viscoelastics fractional differentiation and its application, Germany: Bordeaux 1 University, ISBN:3-86608-026-3 (2005), 365–376.

2. Y. Meshaka, A. Stephane and C. Christian, Describing viscoelasticity using thermodynamic functions: link with fractional type operators, France: FDA04, 1st IFAC workshop on fractional differentiation and its application 19–21( 2004).

3. H. Nasuno and N. Shimizu, Nonlinear Statical and Dynamical Models of Fractional Derivative Viscoelastic Body, Proc. 2005 ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. September 24–28, Long Beach, California, USA(2005).

4. H. Z. Sun, Constitutive law of viscoelastic materials modeled by fractional-order derivatives, Masterdegree thesis, JiNan University, China (2006, In Chinese).

5. Wei ZHANG and Nobuyuki SHIMIZU, Numerical Algorithm for Dynamic Problems Involving Fractional Operators, Int. J. of JSME, Ser. C, 41, NO.3, (1998)364–370.

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