Results 11 to 20 of about 21,774 (307)
Transonic Buffet Simulation using Harmonic Balance Method [PDF]
AIAA SCITECH 2023 Forum, 2023 Andrea Petrocchi, George N. Barakos
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Journal of Low Frequency Noise, Vibration and Active Control, 2022 This paper aims to solve the nonlinear differential equation of the circular sector oscillator analytically via the modified harmonic balance method (MHBM).
Nadia M Farea +2 more
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Free vibration analysis of nonlinear axially loaded beams using a modified harmonic balance method
Partial Differential Equations in Applied Mathematics, 2022 The conventional harmonic balance method utilizes a numerical approach for solving a set of nonlinear algebraic equations to identify the unknown coefficients.
M. Wali Ullah +2 more
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Journal of Low Frequency Noise, Vibration and Active Control, 2022 This paper focuses on the numerical investigation of a strongly nonlinear oscillator with cubic and harmonic restoring force. We transform this oscillator as a free damped cubic-quintic Duffing oscillator equation by Taylor approximation.
Junfeng Lu
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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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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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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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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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A Semidefinite Programming Approach for Harmonic Balance Method
IEEE Access, 2019 The harmonic balance method is broadly employed for analyzing and predicting the periodic steady-state solution. Most of the traditional methods in the literature do not guarantee global optimality. Due to its nonconvexity, it is a complex task to find a
Cheng H. Yang, Ben S. Deng
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