When does the method of harmonic balance give a correct prediction for mechanical systems?-Reference-Cited by-同舟云学术

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

Published:2021-07-13 Issue: Volume: Page:1-19
ISSN:0003-6811
Container-title:Applicable Analysis
language:en
Short-container-title:Applicable Analysis

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

Link

https://www.tandfonline.com/doi/pdf/10.1080/00036811.2021.1953482

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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