Vibrations in systems with a periodic structure is the subject of many ongoing research activities. This work presents the analysis of such systems with the help of the theory of representation groups by finite element methods, dynamic Compliance and dynamic rigidness methods, specially adjusted for the analysis of engineering structures. The approach presented in this book permits a simplification and facilitates the understanding of mechanical vibrations in various structures. The book includes extended studies of even complicated machinery structures with an emphasis on flight vehicle engines.
Author(s): Ludmilla Banakh, Mark Kempner (auth.)
Series: Foundations of Engineering Mechanics
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 2010
Language: English
Pages: 252
Tags: Vibration, Dynamical Systems, Control; Group Theory and Generalizations; Numerical Analysis; Structural Mechanics; Automotive Engineering
Front Matter....Pages i-xi
Front Matter....Pages 39-39
Introduction....Pages 1-6
Mechanical Vibratory Systems with Hierarchical Structure. Simulation and Calculation Methods....Pages 7-37
Front Matter....Pages 39-39
Vibrations of Regular Systems with Periodic Structure....Pages 41-78
Vibrations of Systems with Geometric Symmetry. Quasi-symmetrical Systems....Pages 79-114
Front Matter....Pages 115-115
Basic Equations and Numerical Methods....Pages 117-125
Systems with Periodic Structure....Pages 127-140
Systems with Cyclic Symmetry....Pages 141-153
Systems with Reflection Symmetry Elements....Pages 155-185
Self-Similar Structures....Pages 187-199
Vibrations of Rotor Systems with Periodic Structure....Pages 201-207
Vibrations of Regular Ribbed Cylindrical Shells....Pages 209-224
Back Matter....Pages 225-249
