Cognella Academic Publishing Mechanical Vibrations: Theory and Applications

Mechanical Vibrations: Theory and Applications presents the basic principles of engineering vibrations and introduces students to a strategic framework to advance their knowledge and skill in engineering problem-solving. The opening chapter reviews key topics, including mathematical modeling, dimensional analysis, dynamics, and more. Chapter 2 focuses on the elements that comprise mechanical systems and the methods of mathematical modeling of mechanical systems. Two methods for the derivation of differential equations for a linear system are presented: the free-body diagram method and the energy method. Chapters 3 through 5 focus on single degree-of-freedom (SDOF) systems. Chapter 3 concentrates on free vibration of SDOF systems. Forced vibration of SDOF systems is covered in Chapter 4 (harmonic excitation) and Chapter 5 (general transient excitation). Chapter 6 is focused on free and forced vibration of two degree-of-freedom systems. Chapters 7 through 9 cover general multiple degree-of-freedom (MDOF) systems. Chapter 7 concentrates on the derivation of differential equations governing MDOF systems. Chapter 8 concentrates on free vibration, whereas Chapter 9 covers forced vibration. The final chapter provides a brief overview of vibrations of continuous systems. Mechanical Vibrations: Theory and Applications is designed to serve as a primary textbook for advanced undergraduate courses on vibrations. Chapters 7 through 10 are appropriate for use as a standalone resource for graduate-level courses. About the Author S. Graham Kelly is a professor emeritus of mechanical engineering in the College of Engineering and Polymer Science at the University of Akron. He holds a Ph.D., M.S., and B.S. from Virginia Tech. Dr. Kelly's professional research interests include vibrations, nonlinear systems, applied mathematics, and hydrodynamic stability. He is the author of Fundamentals of Mechanical Vibrations, Advanced Vibration Analysis, System Dynamics and Response, and Engineering Mathematics with Modeling Applications.