Theory of Elastic Oscillations Equations and Methods /

• Main Author: Fridman, Vladimir (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Singapore : Springer Singapore : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: Foundations of Engineering Mechanics,
• Subjects: Vibration.; Dynamical systems.; Dynamics.; Computer mathematics.; Mechanics.; Mechanics, Applied.; Vibration, Dynamical Systems, Control.; Computational Science and Engineering.; Solid Mechanics.

This book presents in detail an alternative approach to solving problems involving both linear and nonlinear oscillations of elastic distributed parameter systems. It includes the so-called variational, projection and iterative gradient methods, which, when applied to nonlinear problems, use the pro...

Table of Contents:

• Part 1. Equations and Methods: Oscillation Equations of a Rod with Rectilinear Axis
• Vibrations of Three-Dimensional Body, Plate and Ring
• Spectral Theory
• Variational and Projection Methods for  Solving the Vibration Theory Equations
• Harmonic Analysis
• Discontinuous Functions. Complicated Boundary Conditions
• Exact Solutions of Equations of Oscillation Theory
• Nonlinear Periodic Oscillations.- Part 2. Some Applied Problems: Determination of Elastic-Damping Characteristics of Slide Bearings
• Vibrations of Shafts, Blades and Disks
• Stability of The Equilibrium Position of Rotating Shaft Axis
• Vibrations of Internal Combustion Engine.