Results 21 to 30 of about 12,454,788 (191)
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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Results in Physics, 2016 In this paper, an analytical approximate technique based on harmonic balance method (HBM) is presented to obtain the approximate frequencies and the corresponding periodic solutions of a conservative oscillator having inertia and static non-linearity ...
Md. Helal Uddin Molla +2 more
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Journal of Low Frequency Noise, Vibration and Active ControlIn this article, a very simple modified form of the harmonic balance method is used to solve a strongly nonlinear oscillator with cubic nonlinearity and harmonic restoring force.
Nazmul Sharif +2 more
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A numerical conformal transformation method for harmonic mixed boundary value problems in polygonal domains [PDF]
, 1972 A method is given for solving two dimensional harmonic mixed boundary value problems in simply-connected polygonal domains with re-entrant boundaries.
Whiteman, J R, Papamichael, N
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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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A domain decomposition method for solving the three-dimensional time-harmonic Maxwell equations discretized by discontinuous Galerkin methods [PDF]
, 2008 We present here a domain decomposition method for solving the three-dimensional time-harmonic Maxwell equations discretized by a discontinuous Galerkin method.
Dolean Maini, Victorita +3 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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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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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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