Results 21 to 30 of about 21,774 (307)
Journal of Low Frequency Noise, Vibration and Active Control, 2019 Since the doubly clamped beam-type N/MEMS subjected to the van der Waals attraction is transformed into a mathematical model through Galerkin method, which is a nonlinear differential equation, the spreading residue harmonic balance method is introduced ...
YH Qian, JL Pan, Y Qiang, JS Wang
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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 ...
Grolet, Aurelien, Thouverez, Fabrice
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Alexandria Engineering Journal, 2016 In this paper, a modified harmonic balance method is used to investigate the strongly nonlinear oscillators. The approximate frequency and periodic solution for both small and large amplitude of oscillations show a good agreement with the numerical ...
Md. Abdur Razzak
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Harmonic Balance Method for Turbomachinery Applications [PDF]
, 2019 Harmonic Balance method for non--linear, temporally--periodic incompressible flows is presented in this work. Assumption of a time periodic flow allows us to formulate 2n+1 coupled steady state problems using Fourier series expansion. By solving 2n+1 steady state problems, we obtain a flow field with transient effects.
Cvijetić, Gregor, Jasak, Hrvoje
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Calculation of nonlinear vibrations of piecewise-linear systems using the shooting method
Vietnam Journal of Mechanics, 2012 In this paper, an explicit formulation of the shooting scheme for computation of multiple periodic attractors of a harmonically excited oscillator which is asymmetric with both stiffness and viscous damping piecewise linearities is derived.
Nguyen Van Khang +2 more
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Advances in Mechanical Engineering, 2020 To improve the understanding of unsteady flow in modern advanced axial compressor, unsteady simulations on full-annulus multi-stage axial compressor are carried out with the harmonic balance method.
Haiou Sun +4 more
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MathematicsIn this study, we outline a modified harmonic balance method for solving non-homogenous integrable dispersionless equations and obtaining the corresponding periodic solutions, a research field which shows limited investigation. This study is the first to
Muhammad Irfan Khan +2 more
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Simulation of a Centrifugal Pump by Using the Harmonic Balance Method
International Journal of Rotating Machinery, 2015 The harmonic balance method was used for the flow simulation in a centrifugal pump. Independence studies have been done to choose proper number of harmonic modes and inlet eddy viscosity ratio value.
Franco Magagnato, Jinfeng Zhang
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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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