INFLUENCE OF THE EXCITATION SHAPE IN THE CLASSICAL DUFFING EQUATION

Authors
LENCI S TARANTINO AM
Citation
S. Lenci et Am. Tarantino, INFLUENCE OF THE EXCITATION SHAPE IN THE CLASSICAL DUFFING EQUATION, European journal of mechanics. A, Solids, 13(4), 1994, pp. 569-579
Citations number
20
Categorie Soggetti
Mechanics
Journal title
European journal of mechanics. A, Solids → ACNP
ISSN journal
09977538
Volume
13
Issue
4
Year of publication
1994
Pages
569 - 579
Database
ISI
SICI code
0997-7538(1994)13:4<569:IOTESI>2.0.ZU;2-1
Abstract
The influence of the excitation shape in the dynamics of the classical Duffing's equation is investigated. By means of a numerical simulatio n, it is shown that for some shapes the resulting dynamics are regular , whereas for others they become chaotic. A theoretical justification for this observation was furnished by using Melnikov's method. Such an analysis suggests the principal aspect of the influence of the excita tion shape in the dynamics of the equation.