Normal Form for High-Dimensional Nonlinear System and Its Application to a Viscoelastic Moving Belt
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-08-27
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
This paper is concerned with the computation of the normal form and its application to a viscoelastic moving belt.
First, a new computation method is proposed for significantly refining the normal forms for high-dimensional nonlinear systems.
The improved method is described in detail by analyzing the four-dimensional nonlinear dynamical systems whose Jacobian matrices evaluated at an equilibrium point contain three different cases, that are, (i) two pairs of pure imaginary eigenvalues, (ii) one nonsemisimple double zero and a pair of pure imaginary eigenvalues, and (iii) two nonsemisimple double zero eigenvalues.
Then, three explicit formulae are derived, herein, which can be used to compute the coefficients of the normal form and the associated nonlinear transformation.
Finally, employing the present method, we study the nonlinear oscillation of the viscoelastic moving belt under parametric excitations.
The stability and bifurcation of the nonlinear vibration system are studied.
Through the illustrative example, the feasibility and merit of this novel method are also demonstrated and discussed.
American Psychological Association (APA)
Chen, S. P.& Qian, Y. H.. 2014. Normal Form for High-Dimensional Nonlinear System and Its Application to a Viscoelastic Moving Belt. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1014991
Modern Language Association (MLA)
Chen, S. P.& Qian, Y. H.. Normal Form for High-Dimensional Nonlinear System and Its Application to a Viscoelastic Moving Belt. Abstract and Applied Analysis No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-1014991
American Medical Association (AMA)
Chen, S. P.& Qian, Y. H.. Normal Form for High-Dimensional Nonlinear System and Its Application to a Viscoelastic Moving Belt. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1014991
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014991