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TitleHarmonic Balance for Nonlinear Vibration Problems [electronic resource] / by Malte Krack, Johann Gross
ImprintCham : Springer International Publishing : Imprint: Springer, 2019
Connect tohttps://doi.org/10.1007/978-3-030-14023-6
Descript XII, 159 p. 56 illus., 35 illus. in color. online resource

SUMMARY

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


CONTENT

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


Engineering mathematics Mechanics Mechanics Applied Fourier analysis Vibration Engineering Mathematics. http://scigraph.springernature.com/things/product-market-codes/T11030 Solid Mechanics. http://scigraph.springernature.com/things/product-market-codes/T15010 Fourier Analysis. http://scigraph.springernature.com/things/product-market-codes/M12058 Vibration Dynamical Systems Control. http://scigraph.springernature.com/things/product-market-codes/T15036



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