When does the method of harmonic balance give a correct prediction for mechanical systems?

Author:

Kogelbauer Florian12,Breunung Thomas3

Affiliation:

1. Institute for Mathematics, University of Vienna, Vienna, Austria

2. Mathematics for Advanced Materials-OIL, AIST-Tohoku University, Sendai 980-8577, Japan

3. Institute for Mechanical Systems, ETH Zürich, Zürich, Switzerland

Publisher

Informa UK Limited

Subject

Applied Mathematics,Analysis

Reference28 articles.

1. Krylov N, Bogoljubov N, Lefschetz S. Introduction to non-linear mechanics. Princeton University Press; 1943. (Annals of Mathematics Studies).

2. Krylov N, Bogoljubov NN. Introduction to non-linear mechanics: a free translation by Solomon Lefschetz of excerpts from two Russian monographs. Vol. 11 Repr. 1947 of Annals of mathematics studies. Princeton (NJ): Princeton University Press. (Repr. with errata on page 106, edition, 1947).

3. A modified incremental harmonic balance method based on the fast Fourier transform and Broyden’s method

4. Amplitude Incremental Variational Principle for Nonlinear Vibration of Elastic Systems

5. The harmonic balance method for bifurcation analysis of large-scale nonlinear mechanical systems

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