Lambda-Matrices and Vibrating Systems

Peter Lancaster

194 pages, parution le 08/07/2003

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Résumé

This text covers several aspects and solutions of the problems of linear vibrating systems with a finite number of degrees of freedom. It offers a detailed account of the part of the theory of matrices necessary for efficient problem-solving, beginning with the first four chapters' focus on developing the necesary tools in matrix theory. The following chapters present numerical procedures for the relevant matrix formulations and the relevant theory of differential equations.

The book is directed toward a wide audience of applied mathematicans, scientists, and engineers who are interested in these problems from either practical or theoretical points of view. Although mathematically sound, the treatment involves readers in a minimum of mathematical abstraction. A familiarity and facility with matrix theory is assumed, along with a knowlege of elementary calculus, including the rudiments of the theory of functions of a complex variable. Unabridged republication of the edition published by Pergamon Press, Oxford, 1966.

A sketch of some Matrix Theory
Regular Pencil of Matrices and Eigenvalue Problems
Lambda-Matrices I
Lambda-Matrices II
Some Numerical Methods for Lambda-Matrices
Ordinary Differential Equations with Constant Coefficients
The Theory of Vibrating Systems
On the Theory of Resonance Testing
Further Results for Systems with Damping

Caractéristiques techniques

	PAPIER
Éditeur(s)	Dover
Auteur(s)	Peter Lancaster
Parution	08/07/2003
Nb. de pages	194
Format	13,5 x 21,5
Couverture	Broché
Poids	240g
Intérieur	Noir et Blanc
EAN13	9780486425467
ISBN13	978-0-486-42546-7