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New applications of harmonic balance analysis

International Journal of Microwave and Millimeter-Wave Computer-Aided Engineering, 1995
AbstractThis article shows how the theory of averaging extends applications of harmonic balance analysis. Two examples are given: (i) a new approach to high‐Q oscillators, which results in an analysis of slowly varying envelope of oscillations rather than the oscillations themselves; and (ii) a rigorous analysis of frequency lock and of stability of ...
Michal Odyniec, William Overstreet
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Complete Balancing of Multicylinder Engines Without Requiring Harmonic Balancers

Volume 3C: 15th Biennial Conference on Mechanical Vibration and Noise — Vibration Control, Analysis, and Identification, 1995
Abstract Presently used balancing methods for multicylinder engines and pumps are for partial balancing. As a result the complete shaking force, shaking torque, and shaking moment balancings of engines require the use of harmonic force and harmonic torque and moment balancers. This article presents a new method for complete shaking force
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Harmonic balance and the Hopf bifurcation

Mathematical Proceedings of the Cambridge Philosophical Society, 1977
SummaryA form of the Hopf bifurcation theorem specially suited to systems in block-diagram form has been developed, which allows one to deal with high or infinite order linear elements solely in terms of their transfer functions. The results are proved by the method of harmonic balance, and, for general non-linear systems, lead to criteria for the ...
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Harmonic Balance Developments in OpenFOAM

2017
The method solves incompressible turbu- lent periodic flows, while special attention is given to development for turbomachin- ery applications. It is implemented and tested in foam-extend, a community-driven fork of the open source software Open- FOAM. The Harmonic Balance model is used for accurate and efficient simulations of incompressible turbulent
Vukčević, Vuko   +2 more
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Harmonic Balance method for turbomachinery applications

2016
The Harmonic Balance method for periodic flows is presented in this work. The Harmonic Balance method deploys Fourier series expansion based on the assumption that variables are periodic and can be accurately represented by a mean value and first n harmonics.
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Harmonic Balance Simulation and Analysis

2014
The contribution reviews the use of the Harmonic Balance technique for the numerical determination of the steady-state working point of nonlinear circuits operated in periodic or quasi-periodic conditions. Details are also provided on the main steps for the implementation of harmonic balance in EDA tools.
BONANI, Fabrizio   +3 more
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Generalized Harmonic Balance Method

2020
Albert C.J. Luo, Siyu Guo
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