The Nonstationary Effects On A Softening Duffing Oscillator

    Authors

    C. H. Lu;R. M. Evaniwanowski

    Comments

    Authors: contact us about adding a copy of your work at STARS@ucf.edu

    Abbreviated Journal Title

    Mech. Res. Commun.

    Keywords

    Period-Doubling Bifurcations; Chaotic Motion; Transition; Responses; Pendulum; Mechanics

    Abstract

    This paper presents a numerical study for the bifurcations of a softening Duffing oscillator subjected to stationary and nonstationary excitation. The nonstationary inputs used are linear functions of time. The bifurcations are the results of either a single control parameter or two control parameters that are constrained to vary in a selected direction on the plane of forcing amplitude and forcing frequency. The results indicate: 1. Delay (memory, penetration) of nonstationary bifurcations relative to stationary bifurcations may occur. 2. The nonstationary trajectories jump into the neighboring stationary trajectories with possible overshoots, while the stationary trajectories transit smoothly. 3. The nonstationary penetrations (delays) are compressed to zero with an increasing number of iterations. 4. The nonstationary responses converge through a period-doubling sequence to a nonstationary limit motion that has the characteristics of chaotic motion. The Duffing oscillator has been used as an example of the existence of broad effects of nonstationary (time dependent) and codimensional (control parameter variations in the bifurcation region) inputs which markedly modify the dynamical behavior of dynamical systems.

    Journal Title

    Mechanics Research Communications

    Volume

    21

    Issue/Number

    6

    Publication Date

    1-1-1994

    Document Type

    Article

    Language

    English

    First Page

    555

    Last Page

    564

    WOS Identifier

    WOS:A1994PN36700003

    ISSN

    0093-6413

    Share

    COinS