Broad, up-to-date coverage of advanced vibration analysis by the market-leading author
Successful vibration analysis of continuous structural elements and systems requires a knowledge of material mechanics, structural mechanics, ordinary and partial differential equations, matrix methods, variational calculus, and integral equations. Fortunately, leading author Singiresu Rao has created Vibration of Continuous Systems, a new book that provides engineers, researchers, and students with everything they need to know about analytical methods of vibration analysis of continuous structural systems.
Featuring coverage of strings, bars, shafts, beams, circular rings and curved beams, membranes, plates, and shells-as well as an introduction to the propagation of elastic waves in structures and solid bodies-Vibration of Continuous Systems presents:
* Methodical and comprehensive coverage of the vibration of different types of structural elements
* The exact analytical and approximate analytical methods of analysis
* Fundamental concepts in a straightforward manner, complete with illustrative examples
With chapters that are independent and self-contained, Vibration of Continuous Systems is the perfect book that works as a one-semester course, self-study tool, and convenient reference.Content:
Chapter 1 Introduction: Basic Concepts and Terminology (pages 1–32):
Chapter 2 Vibration of Discrete Systems: Brief Review (pages 33–67):
Chapter 3 Derivation of Equations: Equilibrium Approach (pages 68–84):
Chapter 4 Derivation of Equations: Variational Approach (pages 85–122):
Chapter 5 Derivation of Equations: Integral Equation Approach (pages 123–150):
Chapter 6 Solution Procedure: Eigenvalue and Modal Analysis Approach (pages 151–173):
Chapter 7 Solution Procedure: Integral Transform Methods (pages 174–204):
Chapter 8 Transverse Vibration of Strings (pages 205–233):
Chapter 9 Longitudinal Vibration of Bars (pages 234–270):
Chapter 10 Torsional Vibration of Shafts (pages 271–316):
Chapter 11 Transverse Vibration of Beams (pages 317–392):
Chapter 12 Vibration of Circular Rings and Curved Beams (pages 393–419):
Chapter 13 Vibration of Membranes (pages 420–456):
Chapter 14 Transverse Vibration of Plates (pages 457–540):
Chapter 15 Vibration of Shells (pages 541–606):
Chapter 16 Elastic Wave Propagation (pages 607–646):
Chapter 17 Approximate Analytical Methods (pages 647–699):
