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Mechanical Systems

A Unified Approach to Vibrations and Controls

  • Textbook
  • © 2015

Overview

Authors:
  1. Roger F. Gans

    1. Department of Mechanical Engineering, University of Rochester, Rochester, USA

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  • Presents a unified approach to vibrations and controls, including an excellent diagram that simultaneously discusses embedding classical vibrations (mechanical systems) in a discussion of models, inverse models and open and closed loop control

  • Makes a careful connection of the Lagrangian approach and state space

  • Introduces the reader to a formal approach to linearization, something that every engineering student should know, but which is not included in many programs or undergraduate textbooks

  • Emphasizes Includes simulations of nonlinear systems compared with the usual linear approximations

  • Features a concise discussion of DC motors, affording a more realistic approach to controls

  • Includes a final chapter address feedback linearization generally, and in the context of robots with purely revolute joints

  • Includes supplementary material: sn.pub/extras

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Table of contents (11 chapters)

  1. Front Matter

    Pages i-xvi
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  2. Overview with Some Definitions and Mathematics

    • Roger F. Gans
    Pages 1-20

  3. One Degree of Freedom Systems

    • Roger F. Gans
    Pages 21-78

  4. More Than One Degree of Freedom Systems and the Euler-Lagrange Process

    • Roger F. Gans
    Pages 79-128

  5. Modal Analysis

    • Roger F. Gans
    Pages 129-171

  6. Vibration Measurement

    • Roger F. Gans
    Pages 173-199

  7. State Space, Equilibrium, Linearization, and Stability

    • Roger F. Gans
    Pages 201-256

  8. Classical Control

    • Roger F. Gans
    Pages 257-288

  9. The Basics of State Space Control

    • Roger F. Gans
    Pages 289-331

  10. Observers

    • Roger F. Gans
    Pages 333-359

  11. Tracking Control

    • Roger F. Gans
    Pages 361-393

  12. Introduction to Nonlinear Control

    • Roger F. Gans
    Pages 395-431

  13. Back Matter

    Pages 433-437
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Keywords

About this book

This essential textbook concerns analysis and control of engineering mechanisms, which includes almost any apparatus with moving parts used in daily life, from musical instruments to robots. A particular characteristic of this book is that it presents with considerable breadth and rigor both vibrations and controls. Many contemporary texts combine both of these topics in a single, one term course. This text supports the more favorable circumstance where the material is covered in a one year sequence contains enough material for a two semester sequence, but it can also be used in a single semester course combining two topics. “Mechanical Systems: A Unified Approach to Vibrations and Controls” presents a common notation and approach to these closely related areas. Examples from the both vibrations and controls components are integrated throughout this text.

Authors and Affiliations

  • Department of Mechanical Engineering, University of Rochester, Rochester, USA

    Roger F. Gans

About the author

Dr. Roger Gans is Professor Emeritus of Mechanical Engineering at the University of Rochester

Bibliographic Information

  • Book Title: Mechanical Systems

  • Book Subtitle: A Unified Approach to Vibrations and Controls

  • Authors: Roger F. Gans

  • DOI: https://doi.org/10.1007/978-3-319-08371-1

  • Publisher: Springer Cham

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer International Publishing Switzerland 2015

  • Hardcover ISBN: 978-3-319-08370-4Published: 17 September 2014

  • Softcover ISBN: 978-3-319-37944-9Published: 24 September 2016

  • eBook ISBN: 978-3-319-08371-1Published: 02 September 2014

  • Edition Number: 1

  • Number of Pages: XVI, 437

  • Number of Illustrations: 24 b/w illustrations, 38 illustrations in colour

  • Topics: Vibration, Dynamical Systems, Control, Solid Mechanics, Control, Robotics, Mechatronics, Machinery and Machine Elements

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