03459nam 22006735 450 991033763330332120200630224354.03-030-14023-710.1007/978-3-030-14023-6(CKB)4100000007816531(MiAaPQ)EBC5739695(DE-He213)978-3-030-14023-6(PPN)23523253X(EXLCZ)99410000000781653120190323d2019 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierHarmonic Balance for Nonlinear Vibration Problems /by Malte Krack, Johann Gross1st ed. 2019.Cham :Springer International Publishing :Imprint: Springer,2019.1 online resource (167 pages)Mathematical Engineering,2192-47323-030-14022-9 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.Mathematical Engineering,2192-4732Engineering mathematicsMechanicsMechanics, AppliedFourier analysisVibrationDynamical systemsDynamicsEngineering Mathematicshttps://scigraph.springernature.com/ontologies/product-market-codes/T11030Solid Mechanicshttps://scigraph.springernature.com/ontologies/product-market-codes/T15010Fourier Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M12058Vibration, Dynamical Systems, Controlhttps://scigraph.springernature.com/ontologies/product-market-codes/T15036Engineering mathematics.Mechanics.Mechanics, Applied.Fourier analysis.Vibration.Dynamical systems.Dynamics.Engineering Mathematics.Solid Mechanics.Fourier Analysis.Vibration, Dynamical Systems, Control.531531.015Krack Malteauthttp://id.loc.gov/vocabulary/relators/aut897254Gross Johannauthttp://id.loc.gov/vocabulary/relators/autBOOK9910337633303321Harmonic Balance for Nonlinear Vibration Problems2004573UNINA