Dynamic Modeling and Vibration Analysis of a Spring-Mass-Damper System for Mechanical Applications

Abstract

The spring-mass-damper system is a fundamental mechanical model widely used to analyze vibrational behaviors in engineering structures and machinery. This paper presents a comprehensive study on the dynamic response of the spring-mass-damper system under various damping conditions, including underdamped, critically damped, and overdamped cases. Analytical solutions are derived using second-order differential equations, and the system's behavior is simulated using MATLAB to validate theoretical predictions. The effects of mass, damping coefficient, and stiffness on system performance are discussed. Furthermore, practical implications for automotive suspensions, vibration isolators, and structural damping systems are highlighted. The results indicate that optimizing damping parameters can significantly enhance the stability and efficiency of mechanical systems subjected to vibrational loads.

Cite as:

S. J. Mulani, & Awasare A. (2025). Dynamic Modeling and Vibration Analysis of a Spring-Mass-Damper System for Mechanical Applications. Recent Trends in Automation and Automobile Engineering, 8(2), 16–20. 

https://doi.org/10.5281/zenodo.16025987