Results 11 to 20 of about 178,536 (300)
On a new harmonic selection technique for harmonic balance method [PDF]
Mechanical Systems and Signal Processing, 2012 This paper is intended to present a new harmonic selection technique when solving nonlinear dynamic systems with the harmonic balance method. This technique belongs to the class of method called the adaptive harmonic balance method (AHBM). The harmonic selection is based on the use of a tangent predictor and relies on a stepwise regression procedure ...
Grolet, Aurelien, Thouverez, Fabrice
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Global residue harmonic balance method for Helmholtz–Duffing oscillator
Applied Mathematical Modelling, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Peijun Ju
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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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A New Framework for the Harmonic Balance Method in OpenFOAM
Machines, 2022 The Harmonic Balance Method is one of the most commonly employed Reduced Order Models for turbomachinery calculations, since it leverages the signal sparsity in the frequency domain to cast the transient equations into a coupled set of steady-state ones.
Stefano Oliani +2 more
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On Artifacts in Nonlinear Dynamics [PDF]
, 2017 Nonlinear oscillations are of permanent interest in the field of dynamics of mechanical and mechatronical systems. There exist several well-known semi-analytical methods like Harmonic Balance, perturbation analysis or multiple scales for such problems ...
Lentz, Lukas, Wagner, Utz von
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Nonlinear input/output analysis: application to boundary layer transition [PDF]
, 2020 We extend linear input/output (resolvent) analysis to take into account nonlinear triadic interactions by considering a finite number of harmonics in the frequency domain using the harmonic balance method.
Colonius, Tim +2 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
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Exploiting Sparsity in SDP Relaxation for Harmonic Balance Method
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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Second harmonic generation at the quantum-interference induced transparency in semiconductor quantum wells: The influence of permanent dipole moments [PDF]
, 2001 The influence of permanent dipole moments of quantized states on intersubband second harmonic generation based on quantum-interference induced transparency in semiconductor quantum wells is explored using the harmonic balance method.
Ikonic, Z., Kocinac, S., Milanovic, V.
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A note on the method of harmonic balance
Vietnam Journal of Mechanics, 2001 Free oscillation period of the Duffing oscillator with cubic non-linearity was examined. A comparison between the exact period and those obtained by the asymptotic and the harmonic balance methods was done.
Nguyen Van Dinh
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