Work

Controlling the Primary Resonance Vibrations of a Hybrid Rayleigh-Van der Pol-Duffing Oscillator Using Negative Cubic Velocity Feedback

Year: 2026

Type: article

Abstract: This study aims to suppress vibrations in hybrid Rayleigh-Van der Pol-Duffing oscillators by employing negative cubic velocity feedback control. The system's behavior is analyzed using the multiple-scales method to derive solutions up to the second-order approximation. The effect of negative cubic velocity feedback is specifically examined under primary resonance conditions. The influence of various system parameters is explored numerically using MATLAB. The findings reveal a strong correlation between the approximate analytical solutions and numerical results, confirming the effectiveness of the proposed approach.

Source: Journal of Applied Research and Technology

DOI: 10.22201/icat.24486736e.2026.24.1.2769

Authors: Osama M. Khaled, Yasser A. Amer, Abdullah Reda, Mansour N. Abd EL-Salam

Institutions: Port Said University, Zagazig University, King Saud University

Language: English

Topic: Vibration and Dynamic Analysis

Subfield: Mechanical Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W7150839746

FWCI:

Cites: 15

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Related to: 10