Preface

The purpose of this book is to bring some particular aspects of the preliminary design of elastic structural elements that make up dynamic systems, here called moving bodies, which undergo transient load regimes. Within this perspective, the content covered in this book aims to guide undergraduate and postgraduate students of mechanical engineering or related engineering in ordering knowledge for its application in the design of dynamically loaded mechanical components.

This book aims to study dynamic systems closer to those found in our everyday lives, which present some complexities, whether from a geometric point of view or from the point of view of their loading. In this context, the Lagrangian formulation of the problem for obtaining differential equations of motion for these dynamic systems is recurrent throughout the book.

Differential equations of motion are solved in both the frequency domain and the time domain. However, the focus of this book lies on the response in the time domain, as such results allow observing the behavior of dynamic systems within transient regimes such as the startup and shutdown, short circuit, and passage through natural vibration frequencies. The response in the time domain also allows obtaining the evolution of mechanical stresses in elastic structural elements within transient regimes, and therefore, the application of fatigue failure theories.

To understand these concepts discussed in this book, models of real mechanical engineering systems are developed, such as gear trains, vehicle suspension systems, and rotating machines.

Contents:

• • Chapter 1. Introduction to the Dynamics of Mechanical System.
• • Chapter 2. Lagrange’s Equations of Motion of Mechanical Systems.
• • Chapter 3. Energy Formulation of Discrete Systems.
• • Chapter 4. Energy Formulation of Continuous Elements.
• • Chapter 5. Finite Elements Method Applied to Dynamics.
• • Chapter 7. Fatigue Failure Mechanism and Analysis Methods.
• • Chapter 8. Dynamic Analysis of Structural Elements.
• • Appendix. Matlab Routines.