Work

Inspection of a mix control technique for vibration control in a spring-coupled double pendulum

Year: 2025

Type: article

Abstract: This paper evaluates the perspective of a spring-coupled double pendulum with strict vibration control applied using a positive position negative derivative feedback (PPNDF) controller. The approach used in this case involved applying one of the most well-known perturbation techniques to discover the approximate mathematical solution of the equations of motion of the spring-coupled double pendulum with PPNDF damper. Our approach to obtaining the analytical results was to use the multiple-scale perturbation technique (MSPT) of the first-order approximation. Through the use of frequency response equations close to the simultaneous primary and internal resonance scenarios, the stability of the system has been studied and monitored. The MATLAB and Maple software were used to complete and clarify all the numerical discussions. It was very interesting and important to compare the effects of negative derivative feedback (NDF) only, positive position feedback (PPF) only, and PPNDF simply on the framework using the phase plane and time history. Moreover, a comparison was conducted between the numerical and analytical solutions. Ultimately, the study of the frequency response curves in three dimensions revealed the stable and unstable regions in each picture, illustrating the impact of altering the parameter values on the amplitude.

Source: Journal of low frequency noise, vibration and active control

DOI: 10.1177/14613484251413852

Authors: Sarah K. El-Din Gad, Hany Samih Bauomy, Ashraf Taha EL-Sayed, Amira Mohamed Salem

Institutions: Qassim University, Prince Sattam Bin Abdulaziz University, Modern Academy for Engineering and Technology

Language: English

Topic: Vibration and Dynamic Analysis

Subfield: Mechanical Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,500

Funder: Qassim University