Parametric-primary resonance of current-carrying ferromagnetic beam in coupled magnetic-temperature fields

Author

Cui, Yihui ; Yang, Zhi´an ; Yun, Chao

Author_Institution

Robot. Inst., Beihang Univ., Beijing, China

fYear

2009

fDate

16-19 Aug. 2009

Abstract

A differential equation is derived to analyze the current-carrying ferromagnetic beam in coupled magnetic-temperature fields by means of Galerkin method. Melnikov´s function is used to get the necessary critical condition for the chaotic motion of the system in primary resonance. In this system, the phenomenon of chaotic motion couldn´t be found. Based on the multiple scales method for nonlinear vibration analysis, the first approximation solutions and the stability corresponding to steady state solutions of the parametric-primary resonance system are obtained. Numerical analysis results show that the temperature can change the internal frequency and the value of amplitude obviously.

Keywords

Galerkin method; beams (structures); chaos; ferromagnetic materials; magnetic devices; magnetic fields; magnetoelastic effects; vibrations; Galerkin method; Melnikov function; chaotic motion; coupled magnetic-temperature fields; current-carrying ferromagnetic beam; differential equation; nonlinear vibration analysis; parametric-primary resonance; Chaos; Differential equations; Magnetic analysis; Magnetic resonance; Moment methods; Numerical analysis; Numerical stability; Optical coupling; Stability analysis; Steady-state; chaotic; current-carrying ferromagnetic beam; magnetic field; parametric-primary resonance; temperature field; the method of multiple scales;

fLanguage

English

Publisher

ieee

Conference_Titel

Electronic Measurement & Instruments, 2009. ICEMI '09. 9th International Conference on

Conference_Location

Beijing

Print_ISBN

978-1-4244-3863-1

Electronic_ISBN

978-1-4244-3864-8

Type

conf

DOI

10.1109/ICEMI.2009.5274255

Filename

5274255