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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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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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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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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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On artifact solutions of semi-analytic methods in nonlinear dynamics [PDF]
, 2018 Nonlinear dynamics is a topic of permanent interest in mechanics since decades. The authors have recently published some results on a very classical topic, the dynamics of a softening Duffing oscillator under harmonic excitation focusing especially on ...
Lentz, Lukas, Wagner, Utz von
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Non-Uniform Time Sampling for Multiple-Frequency Harmonic Balance Computations [PDF]
, 2013 A time-domain harmonic balance method for the analysis of almost-periodic (multi-harmonics) flows is presented. This method relies on Fourier analysis to derive an efficient alternative to classical time marching schemes for such flows.
Dufour, Guillaume +5 more
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On some aspects of the dynamic behavior of the softening Duffing oscillator under harmonic excitation [PDF]
, 2016 The Duffing oscillator is probably the most popular example of a nonlinear oscillator in dynamics. Considering the case of softening Duffing oscillator with weak damping and harmonic excitation and performing standard methods like harmonic balance or ...
Lentz, Lukas, Wagner, Utz von
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