Overview
- Presents an introduction to Harmonic Balance
- Covers theory, application and computational implementation of the method
- Includes solved exercises
Part of the book series: Mathematical Engineering (MATHENGIN)
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Table of contents (5 chapters)
Keywords
About this book
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.
Authors and Affiliations
Bibliographic Information
Book Title: Harmonic Balance for Nonlinear Vibration Problems
Authors: Malte Krack, Johann Gross
Series Title: Mathematical Engineering
DOI: https://doi.org/10.1007/978-3-030-14023-6
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer Nature Switzerland AG 2019
Hardcover ISBN: 978-3-030-14022-9Published: 02 April 2019
eBook ISBN: 978-3-030-14023-6Published: 23 March 2019
Series ISSN: 2192-4732
Series E-ISSN: 2192-4740
Edition Number: 1
Number of Pages: XII, 159
Number of Illustrations: 21 b/w illustrations, 35 illustrations in colour
Topics: Engineering Mathematics, Solid Mechanics, Fourier Analysis, Vibration, Dynamical Systems, Control