Introduction to Engineering Nonlinear and Parametric Vibrations with MATLAB and Maple
eBook - PDF

Introduction to Engineering Nonlinear and Parametric Vibrations with MATLAB and Maple

  1. 635 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Introduction to Engineering Nonlinear and Parametric Vibrations with MATLAB and Maple

About this book

Textbook on nonlinear and parametric vibrations discussing relevant terminology and analytical and computational tools for analysis, design, and troubleshooting

Introduction to Engineering Nonlinear and Parametric Vibrations with MATLAB and MAPLE is a comprehensive textbook that provides theoretical breadth and depth and analytical and computational tools needed to analyze, design, and troubleshoot related engineering problems.

The text begins by introducing and providing the required math and computer skills for understanding and simulating nonlinear vibration problems. This section also includes a thorough treatment of parametric vibrations. Many illustrative examples, including software examples, are included throughout the text. A companion website includes the MATLAB and MAPLE codes for examples in the textbook, and a theoretical development for a homoclinic path to chaos.

Introduction to Engineering Nonlinear and Parametric Vibrations with MATLAB and MAPLE provides information on:

  • Natural frequencies and limit cycles of nonlinear autonomous systems, covering the multiple time scale, Krylov-Bogellubov, harmonic balance, and Lindstedt-Poincare methods
  • Co-existing fixed point equilibrium states of nonlinear systems, covering location, type, and stability, domains of attraction, and phase plane plotting
  • Parametric and autoparametric vibration including Floquet, Mathieu and Hill theory
  • Numerical methods including shooting, time domain collocation, arc length continuation, and Poincare plotting
  • Chaotic motion of nonlinear systems, covering iterated maps, period doubling and homoclinic paths to chaos, and discrete and continuous time Lyapunov exponents
  • Extensive MATLAB and MAPLE coding for the examples presented

Introduction to Engineering Nonlinear and Parametric Vibrations with MATLAB and MAPLE is an essential up-to-date textbook on the subject for upper level undergraduate and graduate engineering students as well as practicing vibration engineers. Knowledge of differential equations and basic programming skills are requisites for reading.

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Yes, you can access Introduction to Engineering Nonlinear and Parametric Vibrations with MATLAB and Maple by Alan B. Palazzolo,Dongil Shin,Jeffrey Falzarano in PDF and/or ePUB format, as well as other popular books in Physical Sciences & Mechanics. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Wiley
Year
2025
Print ISBN
9781119319542
eBook ISBN
9781119319559
Edition
1
Topic
Physical Sciences
Subtopic
Mechanics

Table of contents

  1. Cover
  2. Title Page
  3. Copyright
  4. Contents
  5. Preface
  6. About the Companion Website
  7. Chapter 1 Introduction
  8. Chapter 2 Parametric Vibration
  9. Chapter 3 Nonlinear Vibration: Concepts
  10. Chapter 4 Nonlinear Vibrations: Analytical Solutions for Natural Frequencies
  11. Chapter 5 Nonlinear Vibrations: Approximate Methods for Autonomous Systems
  12. Chapter 6 Nonlinear Vibrations: Fixed Equilibrium Points and Stability
  13. Chapter 7 Nonlinear Vibrations: Approximate Methods for Nonā€Autonomous Systems
  14. Chapter 8 Numerical Methods for Nonlinear System Steadyā€State Periodic Response
  15. Chapter 9 Advanced Shooting and Arcā€Length Continuation Method
  16. Chapter 10 Introduction to Chaos 1
  17. Chapter 11 Homoclinic and Heteroclinic Tangle Path to Chaos
  18. Chapter 12 Lyapunov Exponents for Continuous Time Systems
  19. Appendix A Some Useful Trigonometric Identities
  20. Appendix B The Derivation and Mathematical Details of the Melnikov Function
  21. Index
  22. EULA