Theory of elastic oscillations : equations and methods /: equations and methods. (2017)

• Record Type: Book
• Further Information: Note: Vladimir Fridman.
• Authors: Fridman, Vladimir
• Other Names: Sviyazheninov, Eugene translator.
• 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)
• Publisher Details: Singapore : Springer
• Publication Date: 2017
• Extent: 1 online resource (xiii, 257 pages), illustrations (some color)
• Subjects: 531/.32; Oscillations -- Mathematics; Elasticity -- Mathematics; SCIENCE / Mechanics / General; SCIENCE / Mechanics / Solids; Elasticity -- Mathematics; Oscillations -- Mathematics; Electronic books
• Languages: English
• ISBNs: 9789811047862; 9811047863
• Related ISBNs: 9789811047855; 9811047855
• Notes: Note: Includes bibliographical references.; Note: Online resource; title from PDF title page (SpringerLink, viewed July 27, 2017).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.