Positive Position Feedback Controllers for Reduction the Vibration of a Nonlinear Spring Pendulum

Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2016, Vol 12, Issue 11

Abstract

In this paper, the two positive position feedback controllers (PPF) are proposed to reduce the longitudinal and angular vibrations of the nonlinear spring pendulum system which simulated the ship roll motion. This described by a four-degreeof- freedom system (4-DOF) which subjected to the external excitation force at simultaneous primary and internal resonance case. The method of multiple scale perturbation technique (MSPT) is applied to study the approximate solution of the given system. The stability of the system is investigated near the resonance case applying the frequency-response equations. Numerically, the effects of different controllers parameters on the basic system behavior are studied.

Authors and Affiliations

Y a Amer

Keywords

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  • EP ID EP651659
  • DOI 10.24297/jam.v12i11.7
  • Views 150
  • Downloads 0

How To Cite

Y a Amer (2016). Positive Position Feedback Controllers for Reduction the Vibration of a Nonlinear Spring Pendulum. JOURNAL OF ADVANCES IN MATHEMATICS, 12(11), 6758-6772. https://europub.co.uk/articles/-A-651659