Mechanical vibration control and second-order LTI system analysis of an SDOF with harmonic motion

Abstract

It is critical to analyze vibration because of the prevalence of vibration in engineering. Our primary objective is to find a new method to analyze mechanical system vibrations under different circumstances with a single degree of freedom (SDOF). The mass-spring-damping (MSD) system's mathematical structure will be used as a baseline for analyzing the SDOF system. The second-order homogeneous linear time-invariant (LTI) system (under-damped, critically-damped, and overdamped) is analyzed and given in this conference paper. The findings include identified parameters such as dynamic magnetic variables and step responses. Besides, a PID controller is optimized for vibration.