Lambda-matrices and Vibrating Systems

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Courier Corporation, 2002 - Mathematics - 193 pages
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Features aspects and solutions of problems of linear vibrating systems with a finite number of degrees of freedom. Starts with development of necessary tools in matrix theory, followed by numerical procedures for relevant matrix formulations and relevant theory of differential equations. Minimum of mathematical abstraction; assumes a familiarity with matrix theory, elementary calculus. 1966 edition.
 

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Contents

A SKETCH OF SOME MATRIX THEORY
1
REGULAR PENCILS OF MATRICES AND EIGENVALUE PROBLEMS
23
LAMBDAMATRICES I
42
LAMBDAMATRICES II
56
SOME NUMERICAL METHODS FOR LAMBDAMATRICES
75
ORDINARY DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS
100
THE THEORY OF VIBRATING SYSTEMS
116
ON THE THEORY OF RESONANCE TESTING
143
FURTHER RESULTS FOR SYSTEMS WITH DAMPING
158
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