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The Harmonic Balance method for the solution of nonlinear circuit and field problems with harmonic sources and its integration with a commercial simulation software [PDF]
, 2022 This thesis treats the Harmonic Balance method applied to nonlinear circuit and field problems. The main topic is the integration of the Harmonic Balance method in a commercial FEM solver.
Giust, Alessandro
core
A frequency-domain approach to the analysis of stability and bifurcations in nonlinear systems described by differential-algebraic equations [PDF]
, 2007 A general numerical technique is proposed for the assessment of the stability of periodic solutions and the determination of bifurcations for limit cycles in autonomous nonlinear systems represented by ordinary differential equations in the differential ...
Bonani, Fabrizio +3 more
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Application of new novel energy balance method to strongly nonlinear oscillator systems
Results in Physics, 2015 In this paper, a new novel energy balance method based on the harmonic balance method is proposed to obtain higher-order approximations of strongly nonlinear problems arising in engineering.
Md. Abdur Razzak, Md. Mashiar Rahman
doaj +1 more source
Analytical technique for solving the quadratic nonlinear oscillator
Results in Physics, 2020 Recently, an approximate solution of the quadratic nonlinear oscillator has been presented based on the harmonic balance method. According to this method a set of nonlinear algebraic equations appear among the unknown coefficients of the several harmonic
Ismot Ara Yeasmin +3 more
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Vibrational Amplitude Frequency Characteristics Analysis of a Controlled Nonlinear Meso-Scale Beam
Actuators, 2021 Vibration response and amplitude frequency characteristics of a controlled nonlinear meso-scale beam under periodic loading are studied. A method including a general analytical expression for harmonic balance solution to periodic vibration and an updated
Zu-Guang Ying, Yi-Qing Ni
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Comparison of ANM and Predictor-Corrector Method to Continue Solutions of Harmonic Balance Equations [PDF]
, 2019 In this work we apply and compare two numerical path continuation algorithms for solving algebraic equations arising when applying the Harmonic Balance Method to compute periodic regimes of nonlinear dynamical systems.
COCHELIN, Bruno +21 more
core +1 more source
A theoretical basis for the Harmonic Balance Method
Journal of Differential Equations, 2013 The Harmonic Balance method provides a heuristic approach for finding truncated Fourier series as an approximation to the periodic solutions of ordinary differential equations. Another natural way for obtaining these type of approximations consists in applying numerical methods.
García-Saldaña, Johanna Denise +1 more
openaire +5 more sources
Journal of Low Frequency Noise, Vibration and Active Control, 2019 Since the doubly clamped beam-type N/MEMS subjected to the van der Waals attraction is transformed into a mathematical model through Galerkin method, which is a nonlinear differential equation, the spreading residue harmonic balance method is introduced ...
YH Qian, JL Pan, Y Qiang, JS Wang
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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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Alexandria Engineering Journal, 2016 In this paper, a modified harmonic balance method is used to investigate the strongly nonlinear oscillators. The approximate frequency and periodic solution for both small and large amplitude of oscillations show a good agreement with the numerical ...
Md. Abdur Razzak
doaj +1 more source