In the separated paper in this conference, we proposed two fractional derivative models for stress-strain relation of viscoelastic materials. In this paper, these models are tried to analyze the experimental results on impulse response of a gel. It is shown that one model reproduces well the impulse response to relatively small impact velocity, while the other explains the response to larger impact velocity. It is also shown that the empirical nonlinear fractional derivative model proposed by authors at FDA08 has nearly identical impulse response to one of the models.
- Design Engineering Division and Computers in Engineering Division
Analysis of Impulse Response of a Gel by Nonlinear Fractional Derivative Models
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Fukunaga, M, & Shimizu, N. "Analysis of Impulse Response of a Gel by Nonlinear Fractional Derivative Models." Proceedings of the ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 4: 7th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B and C. San Diego, California, USA. August 30–September 2, 2009. pp. 1113-1118. ASME. https://doi.org/10.1115/DETC2009-86803
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