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Book Cover
E-RESOURCE
Author Fridman, Vladimir, author.

Title Theory of elastic oscillations : equations and methods / Vladimir Fridman.

Published Singapore : Springer, 2017.

Copies

Location Call No. Status
 UniM INTERNET resource    AVAILABLE
Physical description 1 online resource (xiii, 257 pages) : illustrations (some color).
Series Foundations of engineering mechanics
Foundations of engineering mechanics.
Springer Engineering eBooks 2018 English+International
Bibliography Includes bibliographical references.
Contents Preface; References#x82;1.#x80; Cauchy, A. (1847). Methode generale pour la resolution des systemes d'equations simultanees. Comptes rendus de l'Académie des sciences. Tome 25 (pp. 536-538).#x82;2. Fletcher, C. A. J. (1984). Computational Galerkin methods (p. 310). Berlin: Springer.#x82;3. Galerkin, B. G. (1915). Rods and plates (Vol. 1, No. 19, pp. 897-908 (in Russian)). Series in some issues of the elastic equilibrium of rods and plates, Herald of engineers.#x82;4. Kantorovich, L. V. (1948). Functional analysis and applie; Contents; Summary; Equations and Methods
1 Oscillation Equations of a Rod with Rectilinear Axis1.1 Differential Equations of Longitudinal Vibrations of a Rod; 1.2 Differential Equations of Longitudinal Vibrations of a Rod in the Operator Form; 1.3 Differential Equations of Torsional Vibrations; 1.4 Differential Equations of Transverse Vibrations of a Rectilinear Rod; 1.5 Differential Equations of Transverse Vibrations of a Rod in the Operator Form; 1.6 Joint Longitudinal, Torsional and Transverse Vibrations of a Rod; 1.7 Differential Equations in Displacements and Forces
1.8 Integral Equations of Longitudinal and Torsional Vibrations1.9 Integral Equations of Transverse Vibrations of a Rod; 1.10 Equations in Displacements with Integral Operators; 1.11 Converting the Equations with Differential and Integral Operators to the Classical Form; 1.12 Integral Equations of Harmonic Oscillations for an Unattached Elastic Body; References; 2 Vibrations of a Three-Dimensional Body, Plate and Ring; 2.1 Equations of Three-Dimensional Body Vibrations; 2.2 Equations of Plate Vibrations; 2.3 Equations of Ring Vibrations; References; 3 Spectral Theory
3.1 Forms and Frequencies of Free Oscillations3.2 Representation of the Amplitude of Forced Harmonic Vibrations as a Series in the Forms of Free Oscillations; 3.3 Bringing Equations to the Classical Form; 3.4 Stationary (Periodic) and Nonstationary Elastic Vibrations; 3.5 Oscillations with the Initial Conditions Given; 3.6 Periodic Oscillations; 3.7 Oscillations of a Rod Under the Action of Concentrated Force; 3.8 Iterative Method for Determination of the First Form and Frequency of Free Elastic Oscillations; 3.9 Determination of Higher Forms and Frequencies of Free Oscillations; References
4 Variational and Projection Methods for Solving Vibration Theory Equations4.1 Variational Principle in the Problem of Forced Harmonic Vibrations for the Displacement Equation; 4.2 Variational Principle in the Problem of Free Harmonic Vibrations for the Equation on Displacements Using a Differential Operator; 4.3 Extreme Variational Principle in the Problem of Forced Harmonic Oscillations; 4.4 Mixed Variational Principle in the Problem of Forced Harmonic Oscillations (Principle of Reissner)
Other author Sviyazheninov, Eugene, translator.
SpringerLink issuing body.
Subject Oscillations -- Mathematics.
Elasticity -- Mathematics.
Electronic books.
ISBN 9789811047862 (electronic bk.)
9811047863 (electronic bk.)
9789811047855 (print)
9811047855