Abstract This work investigated the control of chaotic behavior of a harmonically perturbed DufTing Oscillator using
vibration absorber. The system of two degrees of freedom governing equations were simu Eated nu rner i~allyu sing classical
fourth order Runge-Kutta algorithm for a constant time step. The solution time history, phase plots and Poincare maps were
usd to validate tbe simulation. Essentially, the details of the' Poincare map were used numerically to determine the
periodicity ofDuffing oscil&r forspectmmof mass ratio at aconstant step of0.001. The time history, phase plots and the
Pomca~at mass ratio (p), absorber parameters (a,), and amplitude ofexcitation IF,) are in agreement with what is obtained
in open literature. The chaotic response of the Dufigdbsorbersystem at a, = I.!, F, =0.2 1: and, taken respectively. the
Duffmg and the absorber initiil conditions to be ( 1.0,O.O) and (0.0,0.0), this chaotic response was rendered periodic tor some
selected mass ratio (Eps1.0). Specifically, periods 1, 2 and 4 were obtained at p= 0.208; these periodic responses were
obtained at respective values ofa,=l. 1. a,=l.7803 and a,= 1.7595. In this work, eighty percent of the mass ratio selected did
ensure that the chaotic behaviour ofthe DuRutg-Absorber system is rendered periodic. This workdemonstrated the practical
utility ofvibration absorber as a chaotic oscillations control tool by the mass ratio approach; and having a recorded success of
about eighty percent.
Dolire, F (2021). Control of Chaotic Oscillation and Response Charaterisation in Duffing Oscillator Using Vibration Absorber. Afribary. Retrieved from https://afribary.com/works/control-of-chaotic-oscillation-and-response-charaterisation-in-duffing-oscillator-using-vibration-absorber
Dolire, Follshola "Control of Chaotic Oscillation and Response Charaterisation in Duffing Oscillator Using Vibration Absorber" Afribary. Afribary, 22 Apr. 2021, https://afribary.com/works/control-of-chaotic-oscillation-and-response-charaterisation-in-duffing-oscillator-using-vibration-absorber. Accessed 27 Nov. 2024.
Dolire, Follshola . "Control of Chaotic Oscillation and Response Charaterisation in Duffing Oscillator Using Vibration Absorber". Afribary, Afribary, 22 Apr. 2021. Web. 27 Nov. 2024. < https://afribary.com/works/control-of-chaotic-oscillation-and-response-charaterisation-in-duffing-oscillator-using-vibration-absorber >.
Dolire, Follshola . "Control of Chaotic Oscillation and Response Charaterisation in Duffing Oscillator Using Vibration Absorber" Afribary (2021). Accessed November 27, 2024. https://afribary.com/works/control-of-chaotic-oscillation-and-response-charaterisation-in-duffing-oscillator-using-vibration-absorber