Application of the Harmonic Balance Method for Spatial Harmonic Interactions Analysis in Axial Flux PM Generators [PDF]
Energies, 2021 In this paper, an application of the Harmonic Balance Method (HBM) for analysis of Axial Flux Permanent Magnet Generator (AFPMG) is carried out. Particular attention was paid to development of mathematical model equations allowing to estimate the machine
Natalia Radwan-Pragłowska +2 more
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The harmonic balance method for Yao–Cheng oscillator [PDF]
Journal of Low Frequency Noise, Vibration and Active Control, 2019 Recently Yao and Cheng suggested a nonlinear oscillator with a damping, and an analytical solution was obtained by the homotopy perturbation method. This paper shows that the oscillator can also be effectively solved by the harmonic balance method.
Yue Wu
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Modified harmonic balance method for the solution of nonlinear jerk equations
Results in Physics, 2018 In this paper, a second approximate solution of nonlinear jerk equations (third order differential equation) can be obtained by using modified harmonic balance method.
M. Saifur Rahman, A.S.M.Z. Hasan
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Nonlinear structure-extended cavity interaction simulation using a new version of harmonic balance method. [PDF]
PLoS ONE, 2018 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.
Yiu-Yin Lee
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Exploiting Sparsity in SDP Relaxation for Harmonic Balance Method [PDF]
IEEE Access, 2020 In general, harmonic balance problems are extremely nonconvex and difficult to solve. A convex relaxation in the form of semidefinite programming has attracted a lot of attention recently, as it finds a global solution with high accuracy without the need
Cheng-Hsiung Yang, Ben Shen Deng
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Harmonic balance method for MEMS oscillators
Frontiers in PhysicsIntroductionMicro-Electro-Mechanical System (MEMS) oscillators play a pivotal role in diverse applications such as biosensors and wearable sensors. To optimize their performance and ensure reliability, exploring their periodic properties and pull-in ...
Xian-He Lei, Yutong Cui
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Modified Multi-level Residue Harmonic Balance Method for Solving Nonlinear Vibration Problem of Beam Resting on Nonlinear Elastic Foundation [PDF]
Journal of Applied and Computational Mechanics, 2019 Nonlinear vibration behavior of beam is an important issue of structural engineering. In this study, a mathematical modeling of a forced nonlinear vibration of Euler-Bernoulli beam resting on nonlinear elastic foundation is presented.
Md. Saifur Rahman +2 more
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A Mixed Shooting – Harmonic Balance Method for Unilaterally Constrained Mechanical Systems [PDF]
Archive of Mechanical Engineering, 2016 In this paper we present a mixed shooting – harmonic balance method for large linear mechanical systems on which local nonlinearities are imposed. The standard harmonic balance method (HBM), which approximates the periodic solution in frequency domain ...
Schreyer Frederic, Leine Remco I.
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Comparison Analysis Based on the Cubic Spline Wavelet and Daubechies Wavelet of Harmonic Balance Method [PDF]
Abstract and Applied Analysis, 2014 This paper develops a theoretical analysis of harmonic balance method, based on the cubic spline wavelet and Daubechies wavelet, for steady state analysis of nonlinear circuits under periodic excitation.
Jing Gao
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Simulation of Payne Effect of Elastomeric Isolators with a Harmonic Balance Method [PDF]
Shock and Vibration, 2012 In the presented work, a non linear effect of rubber referred as Fletcher-Gent effect or Payne effect is investigated. It leads to a change in the rubber dynamic modulus with vibration amplitudes and, consequently, modifies resonance frequencies of ...
V. Jaumouillé +2 more
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