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Advanced Dynamics and Control of Structures and Machines

  • Book
  • © 2004

Overview

Editors:
  1. Hans Irschik

    1. Johannes Kepler University of Linz, Austria

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    You can also search for this editor in PubMed   Google Scholar

  2. Kurt Schlacher

    1. Johannes Kepler University of Linz, Austria

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: CISM International Centre for Mechanical Sciences (CISM, volume 444)

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Table of contents (14 chapters)

  1. Front Matter

    Pages ii-vii
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  2. Basics of Continuum Mechanics

    • Alexander K. Belyaev
    Pages 1-8

  3. A Treatise on the Equations of Balance and on the Jump Relations in Continuum Mechanics

    • Hans Irschik
    Pages 9-20

  4. The Rayleigh-Ritz Technique and the Lagrange Equations in Continuum Mechanics: Formulations for Material and Non-Material Volumes

    • Hans Irschik, Helmut J. Holl, Franz Hammelmüller
    Pages 21-35

  5. Basics of Analytical Mechanics

    • Alexander K. Belyaev
    Pages 37-52

  6. Compensation of Deformations in Elastic Solids and Structures in the Presence of Rigid-Body Motions

    • Hans Irschik, Uwe Pichler, Manfred Nader, Christian Zehetner
    Pages 53-63

  7. Computational Dynamics of an Elasto-Plastic Structural Element With Rigid-Body Degrees-of-Freedom

    • Johannes Gerstmayr, Hans Irschik, Markus Dibold
    Pages 65-76

  8. High Frequency Dynamics of Engineering Structures

    • Alexander K. Belyaev
    Pages 77-96

  9. Basic Differential Geometry for Mechanics and Control

    • Kurt Schlacher, Kurt Zehetleitner
    Pages 97-125

  10. Port-Hamiltonian Systems: Network Modeling and Control of Nonlinear Physical Systems

    • A. J. van der Schaft
    Pages 127-167

  11. Periodic Motion Induced by the Painlevé Paradox

    • R. I. Leine, B. Brogliato, H. Nijmeijer
    Pages 169-194

  12. Coordination of Rigid and Flexible Joint Robot Manipulators

    • A. Rodriguez-Angeles, H. Nijmeijer, H. A. van Essen
    Pages 195-215

  13. Structural Control for Dynamic Hazard Mitigation

    • Fabio Casciati
    Pages 217-248

  14. Some Applications of Differential Geometry in Control

    • Kurt Schlacher, Stefan Fuchshumer, Johann Holl
    Pages 249-260

  15. Some Applications of Differential Geometry in Mechanics

    • Kurt Schlacher, Gernot Grabmair, Helmut Ennsbrunner, Richard Stadlmayr
    Pages 261-281
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Keywords

About this book

This book, intended for people in engineering and fundamental sciences, presents an integrated mathematical methodology for advanced dynamics and control of structures and machines, ranging from the derivation of models up to the control synthesis problem. This point of view is particularly useful as the physical insight and the associated structural properties, related e.g. to the Lagrangian or Hamiltonian framework, can be advantageously utilized. To this end, up to date results in disciplines like continuum mechanics, analytical mechanics, thermodynamics and electrodynamics are presented exploiting the differential geometric properties, with the basic notions of this coordinate-free approach revisited in an own chapter. In order to illustrate the proposed methodologies, several industrial applications, e.g., the derivation of exact solutions for the deformation compensation by shaped actuation in elastic bodies, or the coordination of rigid and flexible joint robots, are discussed.

Editors and Affiliations

  • Johannes Kepler University of Linz, Austria

    Hans Irschik, Kurt Schlacher

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