Fundamentals of the Theory of Mechanical Vibrations

Erscheinungsjahr 2025
ISBN: 978-3-031-83994-8
Verlag: Springer Nature Switzerland

Buch, Englisch, 323 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 736 g

This book presents the fundamental concepts of modeling and analysis of vibrations in mechanical systems with one or more degrees of freedom. The presentation of classic topics is enriched by discussions on equilibrium, stability, and the linearization of the equations of motion. Practical examples throughout the text illustrate the applicability of the theory and explore the physics behind the equations. This book includes various Matlab codes, which allow readers to modify parameters and investigate the behavior of a wide range of mechanical systems. Furthermore, it is demonstrated how some of the mechanical systems studied can be constructed using ordinary materials, enabling readers to compare the theoretical results predicted by the mathematical models with the actual observed behavior.

Zielgruppe

Lower undergraduate

Autoren/Hrsg.

Gonçalves Salsa Junior, Rubens

Fachgebiete

• Interdisziplinäres Wissenschaften Wissenschaften: Forschung und Information Kybernetik, Systemtheorie, Komplexe Systeme
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Maschinenbau
• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Kontinuumsmechanik

Inhaltsverzeichnis

Part 1 Vibration of Systems with One Degree of Freedom.- Chapter 1 The Equation of Motion of Systems with One Degree of Freedom.- Chapter 2 Free Vibration of Systems with One Degree of Freedom.- Chapter 3 Forced Vibration of Systems with One Degree of Freedom.- Part 2 Vibrations of Systems with Multiple Degrees of Freedom.- Chapter 4 Equations of Motion of Systems with Multiple Degrees of Freedom.- Chapter 5 Free and Forced Vibrations of Systems with Multiple Degrees of Freedom.

Über Autor(innen)

Rubens G. Salsa Jr. holds a degree in Mechanical Engineering from the State University of Campinas and a Ph.D. in Mechanical Engineering from the University of California, Berkeley, where he researched the decoupling of linear dynamical systems. He worked as postdoctoral researcher at the Aeronautics Institute of Technology in Brazil, focusing on metamaterials for vibration control. He is currently associate professor in the Department of Mechanical Engineering at the Federal University of Rio Grande do Norte, where he teaches courses on Dynamics and Vibrations, coordinates research projects on mechanical system modeling, and organizes outreach and educational activities.