Results 41 to 50 of about 176,684 (202)
Comparative assessment of the harmonic balance Navier Stokes technology for horizontal and vertical axis wind turbine aerodynamics [PDF]
, 2016 Several important wind turbine unsteady flow regimes, such as those associated with the yawed wind condition of horizontal axis machines, and most operating conditions of all vertical axis machines, are predominantly periodic.
Campobasso, Michele Sergio +2 more
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Study on the stability of analytical periodic solutions of nonlinear gear systems [PDF]
Mechanical SciencesThe gear system with backlash is a strong nonlinear system. The generalized harmonic balance method is capable of dealing with most strong nonlinear problems.
B. Dai +5 more
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Numerical investigation of the fractal capillary oscillator
Journal of Low Frequency Noise, Vibration and Active Control, 2023 This paper focuses on the numerical investigation of a fractal modification of capillary oscillator by using a coupling technique based on the two-scale transformation and the global residue harmonic balance method.
Bin Chen, Junfeng Lu, Zhongze Xia
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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
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A new analytical approach for solving quadratic nonlinear oscillators
Alexandria Engineering Journal, 2017 In this paper, a new analytical approach based on harmonic balance method (HBM) is presented to obtain the approximate periods and the corresponding periodic solutions of quadratic nonlinear oscillators.
Md. Mahtab Hossain Mondal +3 more
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Multitone signal harmonic balance method
Electronics Letters, 1999 A novel approach for generating the frequency/time conversion matrices of multitone signals is presented. Conversion matrices are normally used in the harmonic balance method to evaluate currents/voltages of nonlinear devices. The conditioning number of these matrices is a fundamental aspect and the proposed approach always generated matrices with the ...
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The period function and the Harmonic Balance Method
Bulletin des Sciences Mathématiques, 2015 In this paper we consider several families of potential non-isochronous systems and study their associated period functions. Firstly, we prove some properties of these functions, like their local behavior near the critical point or infinity, or their global monotonicity.
García-Saldaña, Johanna Denise +1 more
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Global computation of phase-amplitude reduction for limit-cycle dynamics [PDF]
, 2018 Recent years have witnessed increasing interest to phase-amplitude reduction of limit-cycle dynamics. Adding an amplitude coordinate to the phase coordinate allows to take into account the dynamics transversal to the limit cycle and thereby overcomes the
Mauroy, A., Mezic, I.
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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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Improving accurate vibration periods and responses of a rigid rod model
Alexandria Engineering Journal, 2018 In this paper, we construct a residue harmonic balance solution procedure to improve the accuracy of approximate vibration period and steady response for a strongly nonlinear oscillator from the motion of rigid rod rocking back and forth on a circular ...
Zhongjin Guo, Lili Xia, Wei Zhang
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