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Journal Article 4

Year

2014 4

Keywords

AGM 2

Algebraic Method (AGM) 2

Angular Frequency 1

Duffing 1

Rayleigh 1

Vanderpol 1

angular frequency 1

critical load of columns 1

extended surface 1

heat transfer 1

large deformations of beam 1

nonlinear differential equation 1

oscillating system 1

slope-deflection method 1

tower crane 1

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solution of nonlinear equations at displacement of structure and heat transfer extended surface by new AGM

M. R. AKBARI,D. D. GANJI,M. NIMAFAR,A. R. AHMADI

Frontiers of Mechanical Engineering 2014, Volume 9, Issue 4, Pages 390-401 doi: 10.1007/s11465-014-0313-y

Abstract: G(x) with a simple and innovative approach entitled “Akbari-Ganji’s method” (AGMComparisons are made between AGM and numerical method, the results of which reveal that this method is

Keywords： AGM extended surface heat transfer slope-deflection method

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Solving nonlinear differential equations of Vanderpol, Rayleigh and Duffing by AGM

M. R. AKBARI,D. D. GANJI,A. MAJIDIAN,A. R. AHMADI

Frontiers of Mechanical Engineering 2014, Volume 9, Issue 2, Pages 177-190 doi: 10.1007/s11465-014-0288-8

Abstract: Vanderpol, Rayleigh and Duffing equations, have been analyzed and solved completely by Algebraic Method (AGMBased on the comparisons which have been made between the gained solutions by AGM and numerical method, it is possible to indicate that AGM can be successfully applied for various differential equations

Keywords： Algebraic Method (AGM) Angular Frequency Vanderpol Rayleigh Duffing

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Analyzing the nonlinear vibrational wave differential equation for the simplified model of Tower Cranes by Algebraic Method

M.R. AKBARI,D.D. GANJI,A.R. AHMADI,Sayyid H. Hashemi KACHAPI

Frontiers of Mechanical Engineering 2014, Volume 9, Issue 1, Pages 58-70 doi: 10.1007/s11465-014-0289-7

Abstract: differential equation governing on the presented system in three different cases by Algebraic Method (AGMComparisons have been made between AGM and Numerical Solution, and these results have been indicatedVibrations but also in different fields of study such as fluid mechanics, chemical engineering, etc. make AGM

Keywords： Algebraic Method (AGM) tower crane oscillating system angular frequency

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Scrutiny of non-linear differential equations Euler-Bernoulli beam with large rotational deviation by AGM

M. R. AKBARI,M. NIMAFAR,D. D. GANJI,M. M. AKBARZADE

Frontiers of Mechanical Engineering 2014, Volume 9, Issue 4, Pages 402-408 doi: 10.1007/s11465-014-0316-8

Abstract: differential equations governing on this system are solved analytically by Akbari-Ganji’s method (AGMMoreover, in AGM by solving a set of algebraic equations, complicated nonlinear equations can easilyFurthermore, to enhance the accuracy of the results, the Taylor expansion is not needed in most cases via AGMAlso, comparisons are made between AGM and numerical method (Runge-Kutta 4th).

Keywords： AGM critical load of columns large deformations of beam nonlinear differential equation