Advanced vibration analysis

Author

• Kelly, S. Graham

Additional Author(s)

-

Publisher

Boca Raton, FL: CRC Press, 2007

Language

English

ISBN

9780849334191

Series

Dekker mechanical engineering

Subject(s)

• VIBRATION-MATHEMATICAL MODELS

Notes

. Bibliography: p. 627-628. Index: p. 629-635

Abstract

Delineating a comprehensive theory, Advanced Vibration Analysis provides the bedrock for building a general mathematical framework for the analysis of a model of a physical system undergoing vibration. The book illustrates how the physics of a problem is used to develop a more specific framework for the analysis of that problem. The author elucidates a general theory applicable to both discrete and continuous systems and includes proofs of important results, especially proofs that are themselves instructive for a thorough understanding of the result.

The book begins with a discussion of the physics of dynamic systems comprised of particles, rigid bodies, and deformable bodies and the physics and mathematics for the analysis of a system with a single-degree-of-freedom. It develops mathematical models using energy methods and presents the mathematical foundation for the framework. The author illustrates the development and analysis of linear operators used in various problems and the formulation of the differential equations governing the response of a conservative linear system in terms of self-adjoint linear operators, the inertia operator, and the stiffness operator. The author focuses on the free response of linear conservative systems and the free response of non-self-adjoint systems. He explores three method for determining the forced response and approximate methods of solution for continuous systems.

The use of the mathematical foundation and the application of the physics to build a framework for the modeling and development of the response is emphasized throughout the book. The presence of the framework becomes more important as the complexity of the system increases. The text builds the foundation, formalizes it, and uses it in a consistent fashion including application to contemporary research using linear vibrations.

"synopsis" may belong to another edition of this title.

Physical Dimension

Number of Page(s)

637 p.

Dimension

24 cm.

Other Desc.

ill.

Summary / Review / Table of Content

Introduction and vibration of single-degree-of-freedom systems --
Derivation of differential equations using variational methods --
Linear algebra --
Operators used in vibration problems --
Free vibrations of conservative systems --
Non-self-adjoint systems --
Forced response --
Rayleigh-Ritz and finite-element methods --
Exercises.

Exemplar(s)

#	Accession No.	Call Number	Location	Status
1.	02910/18	620.11248 Kel A	Library - 7th Floor	Available