Vibrations and Stability: Advanced Theory, Analysis, and Tools

✍ Scribed by Assoc. prof. dr. techn. Jon Juel Thomsen (auth.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 2003
• Tongue: English
• Leaves: 420
• Edition: 2
• Category: Library

✦ Synopsis

This book ties together classical and modern topics of advanced vibration analysis in an interesting and lucid manner. It provides students with a background in elementary vibrations, with tools necessary for understanding and analyzing more complex dynamical phenomena that can be encountered in engineering and scientific practice. It progresses steadily from linear vibration theory over various levels of nonlinearity to bifurcation analysis, global dynamics and chaotic vibrations. It trains the student to analyze simple models, recognize nonlinear phenomena and work with advanced tools such as perturbation analysis and bifurcation analysis. Explainig theory in terms of relevant examples from real systems, this book is user- friendly and meets the increasing interest in non-linear dynamics in mechanical/structural engineering and applied mathematics and physics. The new revised and updated edition includes a new chapter on useful effects of fast vibrations and many new exercise problems.

✦ Table of Contents

Front Matter....Pages I-XXI
Vibration Basics....Pages 1-25
Eigenvalue Problems of Vibrations And Stability....Pages 27-64
Nonlinear Vibrations: Classical Local Theory....Pages 65-136
Nonlinear Multiple-DOF Systems: Local Analysis....Pages 137-188
Bifurcations....Pages 189-224
Chaotic Vibrations....Pages 225-286
Special Effects of High-Frequency Excitation....Pages 287-337
Back Matter....Pages 339-404

✦ Subjects

Vibration, Dynamical Systems, Control; Mechanical Engineering; Structural Mechanics; Statistical Physics, Dynamical Systems and Complexity; Applications of Mathematics; Dynamical Systems and Ergodic Theory