Collocation‐based harmonic balance framework for highly accurate periodic solution of nonlinear dynamical system
Sign Up to like & getrecommendations! Published in 2022 at "International Journal for Numerical Methods in Engineering"
DOI: 10.1002/nme.7128
Abstract: Periodic dynamical systems ubiquitously exist in science and engineering. The harmonic balance (HB) method and its variants have been the most widely‐used approaches for such systems, but are either confined to low‐order approximations or impaired… read more here.
Keywords: harmonic balance; balance framework; based harmonic; balance ... See more keywords
Method of Harmonic Balance in Full-Scale-Model Tests of Electrical Devices
Sign Up to like & getrecommendations! Published in 2017 at "Metal Science and Heat Treatment"
DOI: 10.1007/s11041-017-0069-1
Abstract: Methods for determining the weber-ampere characteristics of electrical devices, one of which is based on solution of direct problem of harmonic balance and the other on solution of inverse problem of harmonic balance by the… read more here.
Keywords: full scale; scale model; harmonic balance; electrical devices ... See more keywords
Recent advances and comparisons between harmonic balance and Volterra-based nonlinear frequency response analysis methods
Sign Up to like & getrecommendations! Published in 2017 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-017-3860-z
Abstract: Harmonic balance and Volterra-based analysis methods are well known, but the capabilities of these methods have been limited by significant issues of complexity which either constrain their application to relatively simple cases, or limit the… read more here.
Keywords: volterra based; analysis; balance volterra; harmonic balance ... See more keywords
Study of non-linear dynamic behavior of open cracked functionally graded Timoshenko beam under forced excitation using harmonic balance method in conjunction with an iterative technique
Sign Up to like & getrecommendations! Published in 2018 at "Applied Mathematical Modelling"
DOI: 10.1016/j.apm.2018.01.022
Abstract: Abstract The nonlinear modeling and subsequent dynamic analysis of cracked Timoshenko beams with functionally graded material (FGM) properties is investigated for the first time using harmonic balance method followed by an iterative technique. Crack is… read more here.
Keywords: methodology; functionally graded; harmonic balance; balance method ... See more keywords
Automatic computation and solution of generalized harmonic balance equations
Sign Up to like & getrecommendations! Published in 2018 at "Mechanical Systems and Signal Processing"
DOI: 10.1016/j.ymssp.2017.08.033
Abstract: Abstract Generalized methods are presented for generating and solving the harmonic balance equations for a broad class of nonlinear differential or difference equations and for a general set of harmonics chosen by the user. In… read more here.
Keywords: computation solution; balance equations; balance; harmonic balance ... See more keywords
Harmonic balance analysis of magnetically coupled two-degree-of-freedom bistable energy harvesters
Sign Up to like & getrecommendations! Published in 2022 at "Scientific Reports"
DOI: 10.1038/s41598-022-10061-x
Abstract: Because a magnetically coupled two-degree-of-freedom bistable energy harvester (2-DOF MCBEH) shows the rich, complicated nonlinear behaviors caused by its coupled cubic nonlinearities, understanding the dynamics remains challenging. This paper reports and investigates the important nonlinear… read more here.
Keywords: coupled two; harmonic balance; balance; magnetically coupled ... See more keywords
Application of harmonic balance method to aerodynamic characteristics prediction of spinning vehicle
Sign Up to like & getrecommendations! Published in 2017 at "Aircraft Engineering and Aerospace Technology"
DOI: 10.1108/aeat-09-2015-0202
Abstract: Purpose The purpose of this paper is to examine the ability of the harmonic balance method for predicting the aerodynamic characteristics of rigid finned spinning vehicle. Design/methodology/approach The aerodynamic characteristics of a rigid four-finned spinning… read more here.
Keywords: spinning vehicle; harmonic balance; method; balance method ... See more keywords
Harmonic Balance Analysis of Lur’e Oscillator Network With Non-Diffusive Weak Coupling
Sign Up to like & getrecommendations! Published in 2023 at "IEEE Control Systems Letters"
DOI: 10.1109/lcsys.2022.3232408
Abstract: The central pattern generator (CPG) is a group of interconnected neurons, existing in biological systems as a control center for oscillatory behaviors. We propose a new approach based on the multivariable harmonic balance to characterize… read more here.
Keywords: harmonic balance; oscillation profile; weak coupling; balance analysis ... See more keywords
Identification of a Nonlinear Dielectric Elastomer Actuator Based on the Harmonic Balance Method
Sign Up to like & getrecommendations! Published in 2021 at "IEEE/ASME Transactions on Mechatronics"
DOI: 10.1109/tmech.2020.3044492
Abstract: This article presents a control-oriented modeling of a circular dielectric elastomer actuator loaded with a mass. Precise dynamic position control of these actuators is a challenge, because of the high level of nonlinearities. Our model… read more here.
Keywords: dielectric elastomer; harmonic balance; elastomer; balance method ... See more keywords
Prediction of dynamic derivatives for air-breathing hypersonic vehicle using a harmonic balance method
Sign Up to like & getrecommendations! Published in 2019 at "Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering"
DOI: 10.1177/0954410019836902
Abstract: The harmonic balance method is an efficient frequency-domain approach for computing periodically unsteady flows. Applying harmonic balance method to the rapid calculation of forced periodic motions, an efficient prediction method for dynamic derivatives is established… read more here.
Keywords: balance method; method; dynamic derivatives; air breathing ... See more keywords
Nonlinear structure-extended cavity interaction simulation using a new version of harmonic balance method
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DOI: 10.1371/journal.pone.0199159
Abstract: This study addresses the nonlinear structure-extended cavity interaction simulation using a new version of the multilevel residue harmonic balance method. This method has only been adopted once to solve a nonlinear beam problem. This is… read more here.
Keywords: balance method; method; cavity; extended cavity ... See more keywords