Harmonic Balance for Nonlinear Vibration Problems

• Main Authors: Krack, Malte (Author, http://id.loc.gov/vocabulary/relators/aut), Gross, Johann (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Series: Mathematical Engineering,
• Subjects: Engineering mathematics.; Mechanics.; Mechanics, Applied.; Fourier analysis.; Vibration.; Dynamical systems.; Dynamics.; Engineering Mathematics.; Solid Mechanics.; Fourier Analysis.; Vibration, Dynamical Systems, Control.

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 nonlinea...

Table of Contents:

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