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Analytic approximation using the harmonic balance method

Nonlinear oscillator with discontinuity by generalized harmonic balance method

Nonlinear oscillator with discontinuity by generalized harmonic balance method

... an analytic approximation than a numerical one to a given nonlinear ...], harmonic balance [ 4 ], standard and modified Lindstedt–Poincaré [ 4 , 32–38 ], artificial parameter [ 37 , 38 ], ...

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DEVELOPMENT OF AN EDGE-BASED HARMONIC BALANCE METHOD FOR TURBOMACHINERY FLOWS

DEVELOPMENT OF AN EDGE-BASED HARMONIC BALANCE METHOD FOR TURBOMACHINERY FLOWS

... stressterms using two sets of inter- dependent equations: the time-averaged equations, that are cor- rected by the perturbations and the unsteady perturbation equa- tions, that depend on the time-averaged ...this ...

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A simple harmonic balance method for solving strongly nonlinear oscillators

A simple harmonic balance method for solving strongly nonlinear oscillators

... et al., 2006; Lim et al., 2005; Alam et al., 2007; Hosen et al., 2012) is another technique for solving strongly nonlinear equa- tions. When a HBM is applied to the nonlinear equations for higher-order ...

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Assessment of the Harmonic Balance Method for Rotor Blade Performance Predictions

Assessment of the Harmonic Balance Method for Rotor Blade Performance Predictions

... The retreating side is also analysed in more detail. The surface pressure distributions at 270 o azimuth are shown in figure 11. The predictions show that the lo- cation, and effect on blade loading of the dynamic stall ...

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A harmonic balance method for nonlinear fluid structure interaction problems

A harmonic balance method for nonlinear fluid structure interaction problems

... relations using a recursive nonlinear interpolator in lieu of the full order aerodynamic model [11–13] ; Yao and Marques applied an input-output technique employing a radial basis function (RBF) neural network ...

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Analytic Approximation of Luminosity Distance in Cosmology via Variational Iteration Method

Analytic Approximation of Luminosity Distance in Cosmology via Variational Iteration Method

... Copyright c 2017 by authors, all rights reserved. Authors agree that this article remains permanently open access under the terms of the Creative Commons Attribution License 4.0 International License Abstract This work ...

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Improvement of Harmonic Balance Using Jacobian Elliptic Functions

Improvement of Harmonic Balance Using Jacobian Elliptic Functions

... standard harmonic balance indicates that our approach is generally the best, except for periodic orbits too close to a heteroclinic ...rational harmonic balance and the method of ...

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The harmonic balance method for bifurcation analysis of large-scale nonlinear mechanical systems

The harmonic balance method for bifurcation analysis of large-scale nonlinear mechanical systems

... The harmonic balance (HB) method is widely used in the literature for ana- lyzing the periodic solutions of nonlinear mechanical ...the method for bifurcation analysis, ...HB method is ...

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Feasibility of the Navier Stokes harmonic balance method for modelling aircraft unsteady aerodynamics

Feasibility of the Navier Stokes harmonic balance method for modelling aircraft unsteady aerodynamics

... A harmonic balance Navier–Stokes approach to the analysis of the NASA common research model periodic flows using the shear stress trans- port turbulence model has been presented, with particular ...

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A Verification Of Periodogram Technique For Harmonic Source Diagnostic Analytic By Using Logistic Regression

A Verification Of Periodogram Technique For Harmonic Source Diagnostic Analytic By Using Logistic Regression

... A harmonic source diagnostic analytic is vital to identify the root causes and type of harmonic source in power ...diagnose harmonic sources by using logistic regression ...the ...

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Analytical approximate solutions for conservative nonlinear oscillators by modified rational harmonic balance method

Analytical approximate solutions for conservative nonlinear oscillators by modified rational harmonic balance method

... The method of harmonic balance is a well-established procedure for determining analytical approximations to the solutions of differential equations, the time domain response of which can be expressed ...

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Harmonic Balance Solution of Mulholland Equation

Harmonic Balance Solution of Mulholland Equation

... The harmonic balance (HB) method [8-17] is another technique for determining periodic solutions of nonlinear differential equations by using the truncated Fourier ...higher ...

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Properties of Analytic and Harmonic Functions / Rashida binti Omar

Properties of Analytic and Harmonic Functions / Rashida binti Omar

... TRANSFORMS USING DUALITY In the field of geometric function theory, there have been many approaches to solving research problems and obtaining ...powerful method and is widely used in getting results on ...

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Determine the optimal solution using Vogels Approximation 
		method

Determine the optimal solution using Vogels Approximation method

... Classification urban roads The streets networks deficit in many cities to meet traffic requirements. where the lack of absorption and the large number of intersections unwanted and lack of parking lots, bridges, tunnels, ...

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Accurate approximations to eigenpairs using the harmonic Rayleigh Ritz Method

Accurate approximations to eigenpairs using the harmonic Rayleigh Ritz Method

... Lanczos method [17, Chapter 13], the Davidson method [4] and Jacobi-Davidson [20], to mention only a ...an approximation for the desired eigenvector and subsequently apply a projection technique to ...

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Harmonic balance analysis of the generalized chua's circuit

Harmonic balance analysis of the generalized chua's circuit

... verified using heuristic harmonic balance method [Gelb & Velde, 1967] in [Yal¸cın & Savacı, 1999] for the basic form of the circuit with only two ...

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Transonic Nonlinear Aeroelastic Simulations Using An Harmonic Balance Method

Transonic Nonlinear Aeroelastic Simulations Using An Harmonic Balance Method

... Transonic Nonlinear Aeroelastic Simulations Using An Harmonic Balance Method.. Marques, S., & Yao, W.[r] ...

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Comparing the direct normal form method with harmonic balance and the method of multiple scales

Comparing the direct normal form method with harmonic balance and the method of multiple scales

... methods, harmonic balance and the method of multiple ...form method combines some of the key advantages of harmonic balance and multiple scales whilst reducing some of the ...

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The φ-harmonic approximation and the regularity of φ-harmonic maps

The φ-harmonic approximation and the regularity of φ-harmonic maps

... of harmonic mappings and related elliptic systems, see also [21] and the book of Simon [25] ...indirect method via blow-up techniques, implemented originally in the papers of Morrey, Giusti and Miranda, and ...

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SARTORIUS ANALYTIC BALANCE

SARTORIUS ANALYTIC BALANCE

... b. Section Ill. Basic Issue Items. These are the minimum essential items required to place the Analytic Balance in operation, to operate it, and to perform emergency repairs. Although shipped separately ...

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