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Calculation of Cohesive Stress Along the Fictitious Crack Zone in Concrete Materials

Xu Shilang,Wang Limin

Strategic Study of CAE 2002, Volume 4, Issue 5,   Pages 53-58

Abstract: Similarly, two algebra equations for solving the two undefined parameters also for controlling the cohesive

Keywords： concrete     crack opening displacement     fictitious crack cohesive force     algebra equations    

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Approximation Space of Generalization and Rough Classification Algebra

Liu Yonghong

Strategic Study of CAE 2006, Volume 8, Issue 3,   Pages 39-48

Abstract: set, bit space set, protocol relation, rough set function of protocol relation, rough classification algebra, rough simple algebra, etc. , and a guess is also proposed.Based on the protocol relation, the rough quotient algebra and the rough subalgebra are constructed.

Keywords： approximation space of generalization     rough set     rough classification algebra     protocol relation     roughsimple algebra     rough quotient algebra     rough subalgebra    

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A review on membrane distillation in process engineering: design and exergy equations, materials and

Frontiers of Chemical Science and Engineering 2022, Volume 16, Issue 5,   Pages 592-613 doi: 10.1007/s11705-021-2105-3

Abstract: One of the problems that most afflicts humanity is the lack of clean water. Water stress, which is the pressure on the quantity and quality of water resources, exists in many places throughout the World. Desalination represents a valid solution to the scarcity of fresh water and several technologies are already well applied and successful (such as reverse osmosis), producing about 100 million m3·d−1 of fresh water. Further advances in the field of desalination can be provided by innovative processes such as membrane distillation. The latter is of particular interest for the treatment of waste currents from conventional desalination processes (for example the retentate of reverse osmosis) as it allows to desalt highly concentrated currents as it is not limited by concentration polarization phenomena. New perspectives have enhanced research activities and allowed a deeper understanding of mass and heat transport phenomena, membrane wetting, polarization phenomena and have encouraged the use of materials particularly suitable for membrane distillation applications. This work summarizes recent developments in the field of membrane distillation, studies for module length optimization, commercial membrane modules developed, recent patents and advancement of membrane material.

Keywords： membrane distillation     recent developments     heat and mass transfer     wetting     membrane material    

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Parametric equations for notch stress concentration factors of rib–deck welds under bending loading

Frontiers of Structural and Civil Engineering 2021, Volume 15, Issue 3,   Pages 595-608 doi: 10.1007/s11709-021-0720-1

Abstract: The effective notch stress approach for evaluating the fatigue strength of rib–deck welds requires notch stress concentration factors obtained from complex finite element analysis. To improve the efficiency of the approach, the notch stress concentration factors for three typical fatigue-cracking modes (i.e., root–toe, root–deck, and toe–deck cracking modes) were thoroughly investigated in this study. First, we developed a model for investigating the effective notch stress in rib–deck welds. Then, we performed a parametric analysis to investigate the effects of multiple geometric parameters of a rib–deck weld on the notch stress concentration factors. On this basis, the multiple linear stepwise regression analysis was performed to obtain the optimal regression functions for predicting the notch stress concentration factors. Finally, we employed the proposed formulas in a case study. The notch stress concentration factors estimated from the developed formulas show agree well with the finite element analysis results. The results of the case study demonstrate the feasibility and reliability of the proposed formulas. It also shows that the fatigue design curve of FAT225 seems to be conservative for evaluating the fatigue strength of rib–deck welds.

Keywords： notch stress concentration factor     rib–deck weld     parametric analysis     regression analysis     parametric equation    

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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:

In the present paper, three complicated nonlinear differential equations in the field of vibration, which are Vanderpol, Rayleigh and Duffing equations, have been analyzed and solved completely by AlgebraicInvestigating this kind of equations is a very hard task to do and the obtained solution is not accuratenumerical 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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Some Scientific Problems in Proca's Theory Study

Huang Zhixun

Strategic Study of CAE 2005, Volume 7, Issue 3,   Pages 6-12

Abstract: In other-wise, for a massive photon the Maxwell equations get replaced by the Proca equations.

The main, linear extensions of Maxwell equations are the Proca equations (1936) and the Ohmaraequations (1956).

Keywords： special relativity     Maxwell equations     Proca equations     velocity of EM-waves     rest mass of photon    

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Significant progress in solution of nonlinear equations at displacement of structure and heat transfer

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: p>In this paper, we aim to promote the capability of solving two complicated nonlinear differential equationssignificant that there are some valuable advantages in this method and also most of the differential equationsBrief excellences of this method compared to other approaches are as follows: 1) Differential equations

Keywords： AGM     extended surface     heat transfer     slope-deflection method    

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

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: Using alternative constitutive equations can allow for viscoelastic or plastic beam deformation.In this paper nonlinear differential equations governing on this system are solved analytically by Akbari-GanjiMoreover, in AGM by solving a set of algebraic equations, complicated nonlinear equations can easily

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

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Solution of Integral Equations and Experimental Analysis of Fire Smoke Plumes in Stably Linearly Thermally

Fang Jun,Shu Xueming,Yuan Hongyong,Zheng Xin

Strategic Study of CAE 2004, Volume 6, Issue 1,   Pages 37-43

Abstract:

Through numerical solution of the dimensionless integral equations of the turbulent buoyant plume

Keywords： stably linearly thermally stratified environment     fire smoke plume     solution of integral equations     experimental    

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Data-Driven Discovery of Stochastic Differential Equations Article

Yasen Wang, Huazhen Fang, Junyang Jin, Guijun Ma, Xin He, Xing Dai, Zuogong Yue, Cheng Cheng, Hai-Tao Zhang, Donglin Pu, Dongrui Wu, Ye Yuan, Jorge Gonçalves, Jürgen Kurths, Han Ding

Engineering 2022, Volume 17, Issue 10,   Pages 244-252 doi: 10.1016/j.eng.2022.02.007

Abstract:

Stochastic differential equations (SDEs) are mathematical models that are widely used to describe

Keywords： Data-driven method     System identification     Sparse Bayesian learning     Stochastic differential equations    

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Burnett simulations of gas flow and heat transfer in microchannels

Fubing BAO, Jianzhong LIN

Frontiers of Mechanical Engineering 2009, Volume 4, Issue 3,   Pages 252-263 doi: 10.1007/s11465-009-0037-6

Abstract: The Navier-Stokes equations fail to describe the gas flow in this regime.As a result, the high-order Burnett equations are used to study the gas flow and heat transfer characteristicsThe Burnett equations are first reviewed, and the augmented Burnett equations with high-order slip boundary

Keywords： micro- and nanoscale gas flow     slip-transition flow regime     Burnett equations     numerical simulation    

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An algorithm for identifying symmetric variables based on the order eigenvalue matrix Article

Xiao-hua LI, Ji-zhong SHEN

Frontiers of Information Technology & Electronic Engineering 2017, Volume 18, Issue 10,   Pages 1644-1653 doi: 10.1631/FITEE.1601052

Abstract: To simplify the process for identifying 12 types of symmetric variables in Boolean functions, we propose a new symmetry detection algorithm based on minterm expansion or the truth table. First, the order eigenvalue matrix based on a truth table is defined according to the symmetry definition of a logic variable. By analyzing the constraint conditions of the order eigenvalue matrix for 12 types of symmetric variables, an algorithm is proposed for identifying symmetric variables of the Boolean function. This algorithm can be applied to identify the symmetric variables of Boolean functions with or without don’t-care terms. The proposed method avoids the restriction by the number of logic variables of the graphical method, spectral coefficient methods, and AND-XOR expansion coefficient methods, and solves the problem of completeness in the fast compu-tation method. The algorithm has been implemented in C language and tested on MCNC91 benchmarks. The application results show that, compared with the traditional methods, the new algorithm is an optimal detection method in terms of the applicability of the number of logic variables, the Boolean function including don’t-care terms, detection type, and complexity of the identification process.

Keywords： Boolean function     Symmetric variable     Boolean logic algebra system     Order eigenvalue matrix     Truth table    

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Modeling and analysis of landing collision dynamics for a shipborne helicopter

Dingxuan ZHAO, Haojie YANG, Carbone GIUSEPPE, Wenhang LI, Tao NI, Shuangji YAO

Frontiers of Mechanical Engineering 2021, Volume 16, Issue 1,   Pages 151-162 doi: 10.1007/s11465-020-0617-z

Abstract: A Lagrange dynamic model is established based on small-angle approximation to improve the simulation model for shipborne helicopter landing collision. To describe fuselage motion effectively, the proposed model considers ship motion, the interaction of the tires with the deck, and tire slippage. A mechanism of sliding motion is built, and a real-time reliability analysis of the algorithm is implemented to validate the proposed model. Numerical simulations are also conducted under different operation conditions. Results show that the proposed dynamic model can simulate the collision motion of helicopter landing in real time. Several suggestions for helicopter pilot landing are likewise provided.

Keywords： shipborne helicopter     landing model     Lagrange equations     dynamics     validation    

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Measurement and correlation of supercritical CO

Hiroshi MACHIDA, Ryosuke TAGUCHI, Yoshiyuki SATO, Louw J. FLOURUSSE, Cor J. PETERS, Richard L. SMITH

Frontiers of Chemical Science and Engineering 2009, Volume 3, Issue 1,   Pages 12-19 doi: 10.1007/s11705-009-0151-3

Abstract: pressure CO - ionic liquid solubility data and report new correlations for CO -ionic liquid systems with equationsIn the correlation of the CO ionic liquid phase behavior, the Peng-Robinson and the Sanchez-Lacombe equations

Keywords： compact processes     chiral ionic liquids     separations     thermodynamic properties     equations of state    

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Prediction of bed load sediments using different artificial neural network models

Reza ASHEGHI, Seyed Abbas HOSSEINI

Frontiers of Structural and Civil Engineering 2020, Volume 14, Issue 2,   Pages 374-386 doi: 10.1007/s11709-019-0600-0

Abstract: The introduced empirical equations due to restricted applicability even in similar conditions provideThe deficiency of empirical equations for this river by conducted comparison between measured and predictedThe coefficient of determination between measured and predicted values for empirical equations varied

Keywords： bed load prediction     artificial neural network     modeling     empirical equations    

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Title Author Date Type Operation

Calculation of Cohesive Stress Along the Fictitious Crack Zone in Concrete Materials

Xu Shilang,Wang Limin

Journal Article

Approximation Space of Generalization and Rough Classification Algebra

Liu Yonghong

Journal Article

A review on membrane distillation in process engineering: design and exergy equations, materials and

Journal Article

Parametric equations for notch stress concentration factors of rib–deck welds under bending loading

Journal Article

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

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

Journal Article

Some Scientific Problems in Proca's Theory Study

Huang Zhixun

Journal Article

Significant progress in solution of nonlinear equations at displacement of structure and heat transfer

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

Journal Article

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

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

Journal Article

Solution of Integral Equations and Experimental Analysis of Fire Smoke Plumes in Stably Linearly Thermally

Fang Jun,Shu Xueming,Yuan Hongyong,Zheng Xin

Journal Article

Data-Driven Discovery of Stochastic Differential Equations

Yasen Wang, Huazhen Fang, Junyang Jin, Guijun Ma, Xin He, Xing Dai, Zuogong Yue, Cheng Cheng, Hai-Tao Zhang, Donglin Pu, Dongrui Wu, Ye Yuan, Jorge Gonçalves, Jürgen Kurths, Han Ding

Journal Article

Burnett simulations of gas flow and heat transfer in microchannels

Fubing BAO, Jianzhong LIN

Journal Article

An algorithm for identifying symmetric variables based on the order eigenvalue matrix

Xiao-hua LI, Ji-zhong SHEN

Journal Article

Modeling and analysis of landing collision dynamics for a shipborne helicopter

Dingxuan ZHAO, Haojie YANG, Carbone GIUSEPPE, Wenhang LI, Tao NI, Shuangji YAO

Journal Article

Measurement and correlation of supercritical CO

Hiroshi MACHIDA, Ryosuke TAGUCHI, Yoshiyuki SATO, Louw J. FLOURUSSE, Cor J. PETERS, Richard L. SMITH

Journal Article

Prediction of bed load sediments using different artificial neural network models

Reza ASHEGHI, Seyed Abbas HOSSEINI

Journal Article