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ISBN 13 : 9788126538522
Pages : 744
Type : P



The objectives of the book are: (1) To make a methodical and comprehensive presentation of the vibration of different types of structural elements, (2) To present the exact analytical, approximate analytical as well as numerical methods of analysis, and (3) To present the basic concepts in a simple manner with illustrative examples. The book serves as a text book for a dual-level or first graduate level course on vibrations or structural dynamics. More than enough material is included for a one-semester course. The chapters are written to be as independent and self-contained as possible so that a course can be taught by selecting appropriate chapters or through equivalent self study


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.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.

Introduction: Basic Concepts and Terminology. Vibration of Discrete Systems: Brief Review. Derivation of Equations: Equilibrium Approach. Derivation of Equations: Variation Approach. Derivation of Equations: Integral Equation Approach. Solution Procedure: Eigenvalue and Modal Analysis Approach. Solution Procedure: Integral Transform Methods. Transverse Vibration of Strings. Longitudinal Vibration of Bars. Torsional Vibration of Shafts. Transverse Vibration of Beams. Vibration of Circular Rings and Curved Beams. Vibration of Membranes. Transverse Vibration of Plates. Vibration of Shells. Elastic Wave Propagation. Approximate Analytical Methods. A. Basic Equations of Elasticity. B. Laplace and Fourier Transforms. Index.
Upper level undergraduate and first year graduate level students in courses of Vibration of Continuous Systems, Structural Dynamics, Advanced Vibrations, or Mechanical Vibrations in departments of Mechanical, Aerospace, Agricultural, and Ocean Engineering as well as Applied Mechanics. Professional engineers and researchers in academia, government research facilities and in industry in the areas of structures, dynamics, vibrations and design.
Dr. Singiresu S. Rao is Professor and Chairman, Department of Mechanical Engineering, University of Miami. He has authored a number of textbooks including several market leaders