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Harmonic balance for nonlinear vibra...

Gross, Johann.

Harmonic balance for nonlinear vibration problems

Record Type:	Electronic resources : Monograph/item
Title/Author:	Harmonic balance for nonlinear vibration problemsby 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.
Contained By:	Springer eBooks
Subject:	Nonlinear mechanics.
Online resource:	https://doi.org/10.1007/978-3-030-14023-6
ISBN:	9783030140236$q(electronic bk.)

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$q(electronic bk.)

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

190487
Nonlinear mechanics.

LC Class. No.: QA805

Dewey Class. No.: 531.015

Harmonic balance for nonlinear vibration problems
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300 $a xii, 159 p. : $b ill., digital ; $c 24 cm.
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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 190487
650 0 $a Vibration $x Mathematical models. $3 210302
650 0 $a Differential equations, Nonlinear. $3 185178
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650 2 4 $a Solid Mechanics. $3 825700
650 2 4 $a Fourier Analysis. $3 273776
650 2 4 $a Vibration, Dynamical Systems, Control. $3 274667
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