The study of free vibration is pivotal in understanding and predicting the dynamic behaviour of mechanical systems, enabling engineers to optimise designs, ensure structural integrity, and enhance performance. In this study, the primary goal is to investigate the free vibration characteristics of a single-degree-of-freedom (SDOF) mechanical system. The objectives include determining the system's natural frequency, damping ratio, and analysing its transient behaviour during free vibrations. This study employs a combination of theoretical analysis, numerical simulations using Simulink, and experimental observations to achieve these objectives. The Sanderson simple vibration apparatus was used for the study. Several important parameters, such as the damping ratio, the damping constant, the critical damping constant, the logarithmic decrement, and how different setups affect the results, were analysed. Numerical results provide insights into the dynamic response, revealing critical system behaviours such as damping effects. The observation of this study also highlights the crucial role of damping in controlling and mitigating vibrations. Such behaviour is of paramount importance in engineering applications where the control of oscillations is essential for system stability and performance. The discussion contextualises the findings within the realm of mechanical engineering principles, emphasising practical implications. In conclusion, this study offers an understanding of SDOF system dynamics, with applications in engineering design and analysis.
Author
(s) Details
Abdullah
Al Hossain Newaz
Department of Mechanical Engineering, University of Bridgeport,
Bridgeport, 06604, USA.
Rudra
Mitra
Department of Computer Science, University of Bridgeport, USA.
Refat
Jahan
Department of Mechanical Engineering, University of New Haven,
USA.
Abdul
Kadir
Department of Analytics and System, University of Bridgeport, USA.
Please see the book here:- https://doi.org/10.9734/bpi/erpra/v7/5456
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