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The Hypothesis of Safety Theory

Yu Haiyong,Li Fang

Strategic Study of CAE 2006, Volume 8, Issue 10, Pages 85-88

Abstract: proposed in this paper, that is, inevitable, random and man-fault accident types, which are described by mathematicalFrom this point, traditional safety theories are supported by mathematical equations.

Keywords： safety theory accident type mathematical equation accident prevention

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Modeling of heat and mass transfer for timber during radio-frequency and convective drying

Jia Xiaoran,Zhao Jingyao and Cai Yingchun

Strategic Study of CAE 2014, Volume 16, Issue 4, Pages 106-112

Abstract: mechanism and characteristics of heat mass transfer in radio-frequency and convective drying，establish the mathematicalEach independent and dependent variable has independent control equation.Use the finite volume method to establish difference equation for to decouple the coupled partial differential

Keywords： timber radio- frequency- convective drying mathematical model difference equation

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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

Abstract:

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

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Mathematical Reasoning Challenges Artificial Intelligence

Sean O’Neill

Engineering 2019, Volume 5, Issue 5, Pages 817-818 doi: 10.1016/j.eng.2019.08.009

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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

Abstract: The traditional advection-dispersion equation (ADE) and the mobile-immobile model (MIM) are widely used

Keywords： solute transport advection dispersion equation (ADE) mobile-immobile model (MIM) conservative solute

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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

Abstract: The extractive dividing-wall column (EDWC) is one of the most efficient technologies for separation of azeotropic or close boiling-point mixtures, but its design is fairly challenging. In this paper we extend the hybrid feasible path optimisation algorithm (Ma Y, McLaughlan M, Zhang N, Li J. Computers & Chemical Engineering, 2020, 143: 107058) for such optimal design. The tolerances-relaxation integration method is refined to allow for long enough integration time that can ensure the solution of the pseudo-transient continuation simulation close to the steady state before the required tolerance is used. To ensure the gradient and Jacobian information available for optimisation, we allow a relaxed tolerance for the simulation in the sensitivity analysis mode when the simulation diverges under small tolerance. In addition, valid lower bounds on purity of the recycled entrainer and the vapour flow rate in column sections are imposed to improve computational efficiency. The computational results demonstrate that the extended hybrid algorithm can achieve better design of the EDWC compared to those in literature. The energy consumption can be reduced by more than 20% compared with existing literature report. In addition, the optimal design of the heat pump assisted EDWC is achieved using the improved hybrid algorithm for the first time.

Keywords： design extractive dividing-wall column equation-oriented optimisation pseudo-transient continuation model

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Prediction of cutting force in turning of UD-GFRP using mathematical model and simulated annealing

Meenu GUPTA, Surinder Kumar GILL

Frontiers of Mechanical Engineering 2012, Volume 7, Issue 4, Pages 417-426 doi: 10.1007/s11465-012-0343-2

Abstract:

Glass fiber reinforced plastics (GFRPs) composite is considered to be an alternative to heavy exortic materials. According to the need for accurate machining of composites has increased enormously. During machining, the obtaining cutting force is an important aspect. The present investigation deals with the study and development of a cutting force prediction model for the machining of unidirectional glass fiber reinforced plastics (UD-GFRP) composite using regression modeling and optimization by simulated annealing. The process parameters considered include cutting speed, feed rate and depth of cut. The predicted values radial cutting force model is compared with the experimental values. The results of prediction are quite close with the experimental values. The influences of different parameters in machining of UD-GFRP composite have been analyzed.

Keywords： UD-GFRP ANOVA radial cutting force PCD tool Taguchi method regression analysis simulated annealing multi objective techniques

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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

Abstract:

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

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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

Abstract: Finally, based on the design equation of gap joints, a formula predicting the ultimate capacity of overlappedResults from the proposed design equation are consistent with experimental results.

Keywords： regression analysis consistent unstiffened plasticity overlapped

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The Mathematical Model for Large-sized Agro-ecological Engineering

Bian Yousheng,Wang Tianxi,Chen Zhenglong,Cui Bin

Strategic Study of CAE 2002, Volume 4, Issue 7, Pages 17-22

Abstract:

This paper has set up a mathematical model of economic development, which combines the linear programIt has achieved satisfactory results in eight years by means of the mathematical model to guide the economic

Keywords： agro-ecological engineering mathematical model Shengli Oil Fields

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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

Abstract:

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

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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

Abstract:

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

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Cooling strategies and transport theories for brain hypothermia resuscitation

LIU Jing

Frontiers in Energy 2007, Volume 1, Issue 1, Pages 32-57 doi: 10.1007/s11708-007-0004-z

Abstract: Particularly, attention is paid to the mathematical models to quantify the heat and oxygen transport

Keywords： mathematical interruption hypothermia metabolic generation

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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

Abstract: The polynomial equation of state is obtained by regression of the experimental data and the Grüneisen

Keywords： polyester equation of state Hugoniot the shock wave

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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

Abstract:

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