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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
Keywords: Algebraic Method (AGM) Angular Frequency Vanderpol Rayleigh Duffing
Numerical analysis of strongly nonlinear oscillation systems using He’s max-min method
H. BABAZADEH, G. DOMAIRRY, A. BARARI, R. AZAMI, A. G. DAVODI
Frontiers of Mechanical Engineering 2011, Volume 6, Issue 4, Pages 435-441 doi: 10.1007/s11465-011-0243-x
Nonlinear functions are crucial points and terms in engineering problems. Actual and physical problems can be solved by solving and processing such functions. Thus, most scientists and engineers focus on solving these equations. This paper presents a novel method called the max-min method for presenting an accurate approximate analytical solution to strong nonlinear oscillators. It can solve many linear or nonlinear differential equations without the tangible restriction of sensitivity to the degree of the nonlinear term. It is also quite convenient due to the reduction in the size of calculations. The algorithm suggests a promising approach and is systematically illustrated step by step.
Keywords: min-max method nonlinear oscillation duffing equation mathematical pendulum He’s energy balance method
Comparison of the performance of traditional advection-dispersion equation and mobile-immobile model
Haizhu HU,Xiaomin MAO
Frontiers of Agricultural Science and Engineering 2016, Volume 3, Issue 3, Pages 241-248 doi: 10.15302/J-FASE-2016108
Keywords: solute transport advection dispersion equation (ADE) mobile-immobile model (MIM) conservative solute
Optimal design of extractive dividing-wall column using an efficient equation-oriented approach
Yingjie Ma, Nan Zhang, Jie Li, Cuiwen Cao
Frontiers of Chemical Science and Engineering 2021, Volume 15, Issue 1, Pages 72-89 doi: 10.1007/s11705-020-1977-y
Keywords: design extractive dividing-wall column equation-oriented optimisation pseudo-transient continuation model
Calculation and research on deepwater drilling riser flexural equation and natural frequency
Jiang Wei
Strategic Study of CAE 2011, Volume 13, Issue 5, Pages 66-73
Flexural equation was established in this paper, which was based on applicationFree-hinged beam was taken as constraint condition of flexural equation combined with drilling string
Keywords: deepwater drilling drilling riser flexural equation natural frequency shape function
Parametric analysis and design equation of ultimate capacity for unstiffened overlapped CHS K-joints
CHEN Yu, ZHAO Xianzhong, CHEN Yiyi
Frontiers of Structural and Civil Engineering 2008, Volume 2, Issue 2, Pages 107-115 doi: 10.1007/s11709-008-0014-x
Keywords: regression analysis consistent unstiffened plasticity overlapped
Research of the Damage Evolution Equation and Spallation Criterion
Cao Jiedong,Li Yongchi
Strategic Study of CAE 2006, Volume 8, Issue 1, Pages 40-45
In this paper, a new kind of damage evolution equation is presented by the method of phenomenologicalthe computational results and the experimental ones, the material parameters in the damage evolution equationbetween the computational results and the experimental ones show that the new form of damage evolution equation
Keywords: damage evolution equation spallation criterion numerical simulation
Numerical Study on the Parabolic Mild-slope Equation
Shen Yongming,Zheng Yonghong,Wu Xiuguang
Strategic Study of CAE 2004, Volume 6, Issue 3, Pages 30-35
Two kinds of parabolic mild-slope equations are studied systematically. By numerical modeling wave transformation over four typical topographies, the accuracy of numerical schemes, the effect of grid number on the solution accuracy, the sensitiveness of the models to the incident wave angle and the effect of weakly nonlinear terms on the numerical results are discussed in detail. These results can give some theoretical guidance to the applications of parabolic mild slope equations to wave propagation over complex topography in large coastal areas.
Keywords: parabolic mild-slope equation numerical study wave
The experimental study on the equation of state for polyester
Lin Peng,Wang Changli,Li Yan,Liu Wenxiang,Wang Dengwang
Strategic Study of CAE 2009, Volume 11, Issue 4, Pages 63-66
Keywords: polyester equation of state Hugoniot the shock wave
Simulation of Wave Propagation Over a Submerged Bar Using a Modified Boussinesq Equation
Zheng Yonghong,Shen Yongming,Wu Xiuguang,You Yage
Strategic Study of CAE 2004, Volume 6, Issue 4, Pages 34-40
A modified Boussinesq equation is numerically studied.Comparison of numerical results with experimental data shows that the modified Boussinesq equation itselfThese results can give some theoretical guidance to the applications of Boussinesq equation to wave propagation
Keywords: modified Boussinesq equation numerical simulation wave propagation submerged bar
A New Explicit Equation for Calculating the Friction Factor for the Turbulent Flow in Pipes
Wang Yong,Yuan Qi
Strategic Study of CAE 2006, Volume 8, Issue 6, Pages 83-88
Keywords: turbulent flow friction factor implicit Colebrook equation genetic algorithms intelligent fitting method explicit equation
Yang Peizhi,Gu Xiaosong
Strategic Study of CAE 2006, Volume 8, Issue 1, Pages 26-29
Keywords: air-conditioning zero equation turbulence model numerical simulation train
Iteration framework for solving mixed lubrication computation problems
Frontiers of Mechanical Engineering 2021, Volume 16, Issue 3, Pages 635-648 doi: 10.1007/s11465-021-0632-8
Keywords: mixed lubrication discretization formula relative error Reynolds equation asperity
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
Keywords: Algebraic Method (AGM) tower crane oscillating system angular frequency
JU Haitao, WU Hongchun, YAO Dong, XIAN Chunyu
Frontiers in Energy 2008, Volume 2, Issue 2, Pages 179-182 doi: 10.1007/s11708-008-0024-3
Title Author Date Type Operation
Solving nonlinear differential equations of Vanderpol, Rayleigh and Duffing by AGM
M. R. AKBARI,D. D. GANJI,A. MAJIDIAN,A. R. AHMADI
Journal Article
Numerical analysis of strongly nonlinear oscillation systems using He’s max-min method
H. BABAZADEH, G. DOMAIRRY, A. BARARI, R. AZAMI, A. G. DAVODI
Journal Article
Comparison of the performance of traditional advection-dispersion equation and mobile-immobile model
Haizhu HU,Xiaomin MAO
Journal Article
Optimal design of extractive dividing-wall column using an efficient equation-oriented approach
Yingjie Ma, Nan Zhang, Jie Li, Cuiwen Cao
Journal Article
Calculation and research on deepwater drilling riser flexural equation and natural frequency
Jiang Wei
Journal Article
Parametric analysis and design equation of ultimate capacity for unstiffened overlapped CHS K-joints
CHEN Yu, ZHAO Xianzhong, CHEN Yiyi
Journal Article
Research of the Damage Evolution Equation and Spallation Criterion
Cao Jiedong,Li Yongchi
Journal Article
Numerical Study on the Parabolic Mild-slope Equation
Shen Yongming,Zheng Yonghong,Wu Xiuguang
Journal Article
The experimental study on the equation of state for polyester
Lin Peng,Wang Changli,Li Yan,Liu Wenxiang,Wang Dengwang
Journal Article
Simulation of Wave Propagation Over a Submerged Bar Using a Modified Boussinesq Equation
Zheng Yonghong,Shen Yongming,Wu Xiuguang,You Yage
Journal Article
A New Explicit Equation for Calculating the Friction Factor for the Turbulent Flow in Pipes
Wang Yong,Yuan Qi
Journal Article
Application of Zero Equation Turbulence Model for Numerical Simulation of Air Distribution in Train Compartment
Yang Peizhi,Gu Xiaosong
Journal Article
Analyzing the nonlinear vibrational wave differential equation for the simplified model of Tower Cranes
M.R. AKBARI,D.D. GANJI,A.R. AHMADI,Sayyid H. Hashemi KACHAPI
Journal Article