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Theory of elastic oscillationsequati...

Fridman, Vladimir.

Theory of elastic oscillationsequations and methods /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Theory of elastic oscillationsby Vladimir Fridman.
Reminder of title:	equations and methods /
Author:	Fridman, Vladimir.
Published:	Singapore :Springer Singapore :2018.
Description:	xiii, 257 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
Subject:	OscillationsMathematics.
Online resource:	http://dx.doi.org/10.1007/978-981-10-4786-2
ISBN:	9789811047862$q(electronic bk.)

Theory of elastic oscillationsequations and methods /
Fridman, Vladimir.

Theory of elastic oscillationsequations and methods /[electronic resource] :by Vladimir Fridman. - Singapore :Springer Singapore :2018. - xiii, 257 p. :ill. (some col.), digital ;24 cm. - Foundations of engineering mechanics,1612-1384. - Foundations of engineering mechanics..

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.

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 procedure of linearization of the original non-linear equations. These methods are not universal and require a different solution for each problem or class of problems.However, in many cases the combination of the methods shown in this book leads to more efficient algorithms for solving important applied problems.To record these algorithms in a unified form, the first part of the book and its appendix devote considerable attention to compiling the general operator equations, which include (as particular cases) equations for vibrations in rods, plates, shells and three-dimensional bodies. They are mainly considered to be periodic or nearly periodic oscillations, which correspond to stationary or nearly stationary regimes of machinery operation. In turn, the second part of the book presents a number of solutions for selected applications.

ISBN: 9789811047862$q(electronic bk.)

Standard No.: 10.1007/978-981-10-4786-2doiSubjects--Topical Terms:

799540
Oscillations
--Mathematics.

LC Class. No.: QA871

Dewey Class. No.: 531.32

Theory of elastic oscillationsequations and methods /
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100 1 $a Fridman, Vladimir. $3 799539
245 1 0 $a Theory of elastic oscillations $h [electronic resource] : $b equations and methods / $c by Vladimir Fridman.
260 $a Singapore : $b Springer Singapore : $b Imprint: Springer, $c 2018.
300 $a xiii, 257 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Foundations of engineering mechanics, $x 1612-1384
505 0 $a 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.
520 $a 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 procedure of linearization of the original non-linear equations. These methods are not universal and require a different solution for each problem or class of problems.However, in many cases the combination of the methods shown in this book leads to more efficient algorithms for solving important applied problems.To record these algorithms in a unified form, the first part of the book and its appendix devote considerable attention to compiling the general operator equations, which include (as particular cases) equations for vibrations in rods, plates, shells and three-dimensional bodies. They are mainly considered to be periodic or nearly periodic oscillations, which correspond to stationary or nearly stationary regimes of machinery operation. In turn, the second part of the book presents a number of solutions for selected applications.
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650 0 $a Elasticity $x Mathematics. $3 799541
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