1.

Record Nr.

UNINA9910337633303321

Autore

Krack Malte

Titolo

Harmonic Balance for Nonlinear Vibration Problems / / by Malte Krack, Johann Gross

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019

ISBN

3-030-14023-7

Edizione

[1st ed. 2019.]

Descrizione fisica

1 online resource (167 pages)

Collana

Mathematical Engineering, , 2192-4732

Disciplina

531

531.015

Soggetti

Engineering mathematics

Mechanics

Mechanics, Applied

Fourier analysis

Vibration

Dynamical systems

Dynamics

Engineering Mathematics

Solid Mechanics

Fourier Analysis

Vibration, Dynamical Systems, Control

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

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

Sommario/riassunto

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.