Study on Dynamics of Calculus Nonlinear Oscillator

DOI

10.2991/meita-16.2017.11How to use a DOI?

Keywords

Dynamics, Calculus, Nonlinear Oscillator

Abstract

The fractional derivative can be regarded as the Volterra integral of the Abel kernel function and its value is not only closely related to the value of the current moment, but also to the whole history. Therefore, the application of fractional calculus to some viscoelastic materials can well describe the time effect of materials, such as many polymer materials. Compared with the classical viscoelastic constitutive model, the fractional differential viscoelastic constitutive model can not only describe the constitutive relation and mechanical properties of viscoelastic materials, but also can be used in a wide frequency range to describe the mechanical behavior of the material.

Copyright

© 2017, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Yong Huang
AU  - Zefu Zhao
AU  - Yanchun Zhao
PY  - 2017/02
DA  - 2017/02
TI  - Study on Dynamics of Calculus Nonlinear Oscillator
BT  - Proceedings of the 2016 2nd International Conference on Materials Engineering and Information Technology Applications (MEITA 2016)
PB  - Atlantis Press
SP  - 47
EP  - 50
SN  - 2352-5401
UR  - https://doi.org/10.2991/meita-16.2017.11
DO  - 10.2991/meita-16.2017.11
ID  - Huang2017/02
ER  -