Principles of Analytical System Dynamics

1. Auflage 1998
ISBN: 978-0-387-98405-6
Verlag: Springer

Buch, Englisch, 157 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 436 g

Reihe: Mechanical Engineering Series

Mechanical engineering, an engineering discipline borne of the needs of the industrial revolution, is once again asked to do its substantial share in the call for industrial renewal. The general call is urgent as we face profound is­ sues of productivity and competitiveness that require engineering solutions, among others. The Mechanical Engineering Series features graduate texts and research monographs intended to address the need for information in contemporary areas of mechanical engineering. The series is conceived as a comprehensive one that covers a broad range of concentrations important to mechanical engineering graduate education and research. We are fortunate to have a distinguished roster of consult­ ing editors on the advisory board, each an expert in one of the areas of concentration. The names of the consulting editors are listed on the next page of this volume. The areas of concentration are applied mechanics, biomechanics, computational mechanics, dynamic systems and control, en­ ergetics, mechanics of materials, processing, thermal science, and tribology. Fred Leckie, our consulting editor for applied mechanics and I are pleased to present this volume in the Series: Principles of Analytical System Dy­ namics, by Richard A. Layton. The selection of this volume underscores again the interest of the Mechanical Engineering Series to provide our read­ ers with topical monographs as well as graduate texts in a wide variety of fields.

Zielgruppe

Research

Autoren/Hrsg.

Layton, Richard A.

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Technische Wissenschaften Technik Allgemein Technik: Allgemeines
• Naturwissenschaften Physik Mechanik Klassische Mechanik, Newtonsche Mechanik
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Maschinenbau

Inhaltsverzeichnis

1. Introduction.- 1.1. A Perspective on Physical Systems.- 1.2. What This Book Is About.- 1.3. Background.- 1.4. Overview of Topics.- 1.5. Comments on Notation.- 2. Fundamentals of System Dynamics.- 2.1. A Unified Set of Variables.- 2.2. Classification of Discrete Elements.- 2.3. Representation of Motion.- 2.4. Constraints.- 2.5. Variational Concepts.- 2.6. Geometry of Constraint.- 3. Lagrangian DAEs of Motion.- 3.1. A Variational Form of the First Law.- 3.2. Lagrange’s Equation.- 3.3. Lagrangian DAEs.- 3.4. Underlying ODEs.- 3.5. Interpretation of Lagrange’s Equation.- 4. Hamiltonian DAEs of Motion.- 4.1. Legendre Transform.- 4.2. Hamiltonian DAEs.- 4.3. Underlying ODEs.- 4.4. Comparison of Two Formulations.- 5. Complementary DAEs of Motion.- 5.1. Fundamentals.- 5.2. Complementary Lagrangian DAEs.- 5.3. Complementary Hamiltonian DAEs.- 5.4. Comparison of Two Formulations.- 6. Modeling and Simulation.- 6.1. Analysis.- 6.2. Formulating a Model.- 6.3. Numerical Solution of DAEs.- 6.4. Automated Modeling and Simulation.- 6.5. Examples.- Afterword.- References.