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15 - General Engineering

University of Huddersfield

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Article title

Forward residue harmonic balance for autonomous and non-autonomous systems with fractional derivative damping

Type
D - Journal article
Title of journal
Communications in Nonlinear Science and Numerical Simulation
Article number
-
Volume number
16
Issue number
4
First page of article
2169
ISSN of journal
10075704
Year of publication
2011
URL
-
Number of additional authors
-
Additional information

This is the first paper on residue harmonic balance for bifurcation of fractional nonlinear systems. As a result I was able to publish another 12 papers applying the method in various fields within two years. Subsequent publications include time delay damper; nonlinear viscoelastic arches; periodic wave; airfoils; quadratic nonlinear oscillator; and discontinuous nonlinear oscillator with fractional power restoring force. This paper had led to my semi-plenary lecture presented in APCOM2013, a triennial conference of the Asia-Pacific Association for Computational Mechanics , in Singapore.

Interdisciplinary
-
Cross-referral requested
-
Research group
None
Proposed double-weighted
No
Double-weighted statement
-
Reserve for a double-weighted output
No
Non-English
No
English abstract
-