Fundamentals of Mechanical Vibrations

Title: Fundamentals of Mechanical Vibrations

Authors: Nityanando Mahato, Sayan Samanta, Sayon Dey, Arnab Maity

Affiliation: Department of Mechanical Engineering, Brainware University, West Bengal, India

Publisher: Cogniverse Press, Jorhat, Assam, India

First Edition: July 2026

DOI: https://doi.org/10.5281/zenodo.21299196

ISBN: 978-81-688771-6-0 (Print Edition)

e-ISBN: 978-81-688771-7-7 (Digital Edition)

Fundamentals of Mechanical Vibrations introduces the core principles of mechanical vibration in a clear, structured, and application-oriented manner, specifically designed for Diploma Mechanical Engineering students. The book emphasizes conceptual understanding while maintaining engineering accuracy, making vibration analysis accessible to beginners.

The text explains how vibrations influence the performance, safety, efficiency, and reliability of engineering systems, covering applications ranging from rotating machinery and automobiles to industrial equipment and structural systems. It also highlights the importance of understanding undesirable vibrations that can lead to fatigue, noise, maintenance issues, and structural failure.

The content is organized progressively, beginning with fundamental concepts before advancing to Simple Harmonic Motion (SHM), free undamped vibrations, free damped vibrations, and forced vibrations with resonance. Practical engineering examples, solved numerical problems, review questions, and multiple-choice questions reinforce theoretical concepts and their real-world applications.

The book serves as an introductory resource for students while providing a strong foundation for advanced studies in machine dynamics, structural vibrations, condition monitoring, and vibration control. The authors also acknowledge the contributions of educators, researchers, and professionals whose work inspired this publication and welcome constructive feedback for future editions.

• Fundamentals of Mechanical Vibrations
• Simple Harmonic Motion (SHM)
• Free Undamped Vibrations
• Free Damped Vibrations
• Forced Vibrations and Resonance
• Engineering Applications of Vibration Analysis
• Machine Dynamics
• Vibration Control and Condition Monitoring
• Engineering Problem Solving