Results 11 to 20 of about 12,454,788 (191)
A note on the method of harmonic balance [PDF]
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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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 ...
Fabrice Thouverez, Aurélien Grolet
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A Semidefinite Programming Approach for Harmonic Balance Method [PDF]
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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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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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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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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Exploiting Sparsity in SDP Relaxation for Harmonic Balance Method [PDF]
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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Modified harmonic balance method for the solution of nonlinear jerk equations
Results in Physics, 2018 In this paper, a second approximate solution of nonlinear jerk equations (third order differential equation) can be obtained by using modified harmonic balance method.
M. Saifur Rahman, A.S.M.Z. Hasan
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Multi-level residue harmonic balance method for nonlinear vibration of the beam
Journal of Low Frequency Noise, Vibration and Active Control, 2022 This study presents the nonlinear vibration and chaotic response of a beam subjected to harmonic excitation. The multi-level residue harmonic balance method is applied to solve the geometrically cubic nonlinear vibration of the simply supported beam. The
Abu SMZ Hasan, M S Rahman
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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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