Nonlinear Dynamic Analysis of Earthquake Model

Author

Wang, Cheng-Chi ; Yau, Her-Terng ; Yeh, Yen-Liang ; Jang, Ming-Jyi

Author_Institution

Dept. of Mech. Eng., Far East Univ., Tainan, Taiwan

Volume

1

fYear

2009

fDate

Nov. 30 2009-Dec. 1 2009

Firstpage

76

Lastpage

79

Abstract

This paper studies the nonlinear behaviors of an earthquake model including periodic, quasi-periodic, and chaotic motions. The differential transformation method is employed to solve the govern-equation. The system state phase portraits, PoincareÂ¿ maps, power spectra, and bifurcation diagrams are used to analyze the dynamic behavior of the model in the horizontal direction under different operating conditions. This paper shows how the dynamic behavior of this type of system varies with changes in Â¿, ÃŸ, and Â¿.

Keywords

bifurcation; differential equations; earthquake engineering; bifurcation diagrams; chaotic motions; differential transformation method; earthquake model; nonlinear dynamic analysis; poincare maps; power spectra; Bifurcation; Chaos; Earthquake engineering; Electronic mail; Mathematical model; Nonlinear dynamical systems; Nonlinear equations; Orbits; Power system modeling; Space technology; bifurcation; chaos; differential transformation method; earthquake;

fLanguage

English

Publisher

ieee

Conference_Titel

Knowledge Acquisition and Modeling, 2009. KAM '09. Second International Symposium on

Conference_Location

Wuhan

Print_ISBN

978-0-7695-3888-4

Type

conf

DOI

10.1109/KAM.2009.180

Filename

5362224