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Harmonic balance for nonlinear vibra...

Krack, Malte.

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Harmonic balance for nonlinear vibration problems

Record Type:	Electronic resources : Monograph/item
Title/Author:	Harmonic balance for nonlinear vibration problems/ by Malte Krack, Johann Gross.
Author:	Krack, Malte.
other author:	Gross, Johann.
Published:	Cham :Springer International Publishing : : 2019.,
Description:	xii, 159 p. :ill., digital ;24 cm.
[NT 15003449]:	Harmonic Balance applied to mechanical systems -- Solving the governing algebraic equations -- Limitations of HB and alternatives -- Solved exercises and homework problems.
Contained By:	Springer eBooks
Subject:	Nonlinear mechanics. -
Online resource:	https://doi.org/10.1007/978-3-030-14023-6
ISBN:	9783030140236

Harmonic balance for nonlinear vibration problems
Krack, Malte.

Harmonic balance for nonlinear vibration problems[electronic resource] /by Malte Krack, Johann Gross. - Cham :Springer International Publishing :2019. - xii, 159 p. :ill., digital ;24 cm. - Mathematical engineering,2192-4732. - Mathematical engineering..

Harmonic Balance applied to mechanical systems -- Solving the governing algebraic equations -- Limitations of HB and alternatives -- Solved exercises and homework problems.

This monograph presents an introduction to Harmonic Balance for nonlinear vibration problems, covering the theoretical basis, its application to mechanical systems, and its computational implementation. Harmonic Balance is an approximation method for the computation of periodic solutions of nonlinear ordinary and differential-algebraic equations. It outperforms numerical forward integration in terms of computational efficiency often by several orders of magnitude. The method is widely used in the analysis of nonlinear systems, including structures, fluids and electric circuits. The book includes solved exercises which illustrate the advantages of Harmonic Balance over alternative methods as well as its limitations. The target audience primarily comprises graduate and post-graduate students, but the book may also be beneficial for research experts and practitioners in industry.

ISBN: 9783030140236

Standard No.: 10.1007/978-3-030-14023-6doiSubjects--Topical Terms:

546279
Nonlinear mechanics.

LC Class. No.: QA805

Dewey Class. No.: 531.015

Harmonic balance for nonlinear vibration problems
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100 1 $a Krack, Malte. $3 3386681
245 1 0 $a Harmonic balance for nonlinear vibration problems $h [electronic resource] / $c by Malte Krack, Johann Gross.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2019.
300 $a xii, 159 p. : $b ill., digital ; $c 24 cm.
490 1 $a Mathematical engineering, $x 2192-4732
505 0 $a Harmonic Balance applied to mechanical systems -- Solving the governing algebraic equations -- Limitations of HB and alternatives -- Solved exercises and homework problems.
520 $a This monograph presents an introduction to Harmonic Balance for nonlinear vibration problems, covering the theoretical basis, its application to mechanical systems, and its computational implementation. Harmonic Balance is an approximation method for the computation of periodic solutions of nonlinear ordinary and differential-algebraic equations. It outperforms numerical forward integration in terms of computational efficiency often by several orders of magnitude. The method is widely used in the analysis of nonlinear systems, including structures, fluids and electric circuits. The book includes solved exercises which illustrate the advantages of Harmonic Balance over alternative methods as well as its limitations. The target audience primarily comprises graduate and post-graduate students, but the book may also be beneficial for research experts and practitioners in industry.
650 0 $a Nonlinear mechanics. $3 546279
650 0 $a Vibration $x Mathematical models. $3 904753
650 0 $a Differential equations, Nonlinear. $3 604084
650 1 4 $a Engineering Mathematics. $3 3301900
650 2 4 $a Solid Mechanics. $3 3381524
650 2 4 $a Fourier Analysis. $3 891095
650 2 4 $a Vibration, Dynamical Systems, Control. $3 893843
700 1 $a Gross, Johann. $3 3386682
710 2 $a SpringerLink (Online service) $3 836513
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830 0 $a Mathematical engineering. $3 2055144
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