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

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: analyze the nonlinear differential equation governing on the presented system in three different cases by AlgebraicMethod (AGM).Comparisons have been made between AGM and Numerical Solution, and these results have been indicatedThe simplification of the solution procedure in Algebraic Method and its application for solving a wideVibrations 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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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: vibration, which are Vanderpol, Rayleigh and Duffing equations, have been analyzed and solved completely by AlgebraicMethod (AGM).This issue will be emerged after comparing the achieved solutions by numerical method (Runge-Kutte 4thBased 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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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: Static analysis of the structure with variable cross section areas and materials with slope-deflection methodgeneration G(x) with a simple and innovative approach entitled “Akbari-Ganji’s method” (AGM).Comparisons are made between AGM and numerical method, the results of which reveal that this method isBrief 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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Algebraic-stress Turbulent Model of Planar 2-D Pollutant Convection-Diffusion in Curvilinear Coordinates

Wu Xiuguang,Shen Yongming,Wang Min,Yang Zhifeng

Strategic Study of CAE 2005, Volume 7, Issue 7,   Pages 60-64

Abstract: The anisotropic algebraic-stress turbulent model is introduced to simulate the turbulence items, andalgebraic-stress turbulent model of planar 2-D pollutant convection-diffusion in curvilinear coordinates

Keywords： pollutant     convection-diffusion     anisotropic     algebraic-stress turbulent model     k-ε model    

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Generation of closed-form inverse kinematics for reconfigurable robots

ZHAO Jie, WANG Weizhong, GAO Yongsheng, CAI Hegao

Frontiers of Mechanical Engineering 2008, Volume 3, Issue 1,   Pages 91-96 doi: 10.1007/s11465-008-0013-6

Abstract: Three classes and 28 types of subproblems containing geometric or algebraic solutions are identifiedThe effectiveness of this method is shown in an example.

Keywords： different     effectiveness     generation     reconfigurable     algebraic    

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Reducing power grid cascading failure propagation by minimizing algebraic connectivity in edge addition Research Articles

Supaporn LONAPALAWONG, Jiangzhe YAN, Jiayu LI, Deshi YE, Wei CHEN, Yong TANG, Yanhao HUANG, Can WANG,11821132@zju.edu.cn,wcan@zju.edu.cn

Frontiers of Information Technology & Electronic Engineering 2022, Volume 23, Issue 3,   Pages 382-397 doi: 10.1631/FITEE.2000596

Abstract: Experimental results illustrate that our proposed method outperforms existing techniques.

Keywords： Network robustness     Cascading failure     Average propagation     Algebraic connectivity     Power grid    

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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: nonlinear differential equations governing on this system are solved analytically by Akbari-Ganji’s method(AGM).Moreover, in AGM by solving a set of algebraic equations, complicated nonlinear equations can easilyAlso, comparisons are made between AGM and numerical method (Runge-Kutta 4th).The results reveal that this method is very effective and simple, and can be applied for other nonlinear

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

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Comparison of shallow tunneling method with pile and rib method for construction of subway station in

Sina AMIRI; Ali Naghi DEHGHAN

Frontiers of Structural and Civil Engineering 2022, Volume 16, Issue 6,   Pages 704-717 doi: 10.1007/s11709-021-0746-4

Abstract: In the present study, a comparison between the new shallow tunneling method (STM) and the traditionalpile and rib method (PRM) was conducted to excavate and construct subway stations in the geologicalThe maximum ground settlement of 29.84 mm obtained from this method was related to the station axis,

Keywords： shallow tunneling method     pile and rib method     ground surface settlement     subway station construction    

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Development of a new method for RMR and Q classification method to optimize support system in tunneling

Asghar RAHMATI,Lohrasb FARAMARZI,Manouchehr SANEI

Frontiers of Structural and Civil Engineering 2014, Volume 8, Issue 4,   Pages 448-455 doi: 10.1007/s11709-014-0262-x

Abstract: classification method is confirmed by Japan Highway Public Corporation that this method can figure outBased on these advantages of method, in this study, according to data of five deep and long tunnelsin Iran, two equations for estimating the value of method from and classification systems wereThese equations as a new method were able to optimize the support system for and classification systemsFrom classification and its application in these case studies, it is pointed out that the method

Keywords： JH classification     Q and RMR classification     new method    

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Independent cover meshless particle method for complex geotechnical engineering

Jianqiu WU, Yongchang CAI

Frontiers of Structural and Civil Engineering 2018, Volume 12, Issue 4,   Pages 515-526 doi: 10.1007/s11709-017-0428-4

Abstract: A new Independent Cover Meshless Particle (ICMP) method is proposed for the analysis of complex geotechnicalIn the ICMP method, the independent rectangular cover regardless of the shape of the analysis model isthe meshless interpolation function of the independent nodal cover, and the Cartesian Transformation MethodThe present method has a simple formulation and a low computational cost, and is easy for the numericaltypical numerical examples are presented to demonstrate the accuracy and robustness of the proposed method

Keywords： meshless method     particle method     independent cover     CTM     geotechnical engineering    

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3D mode discrete element method with the elastoplastic model

Wei HU, Feng JIN, Chong ZHANG, Jinting WANG

Frontiers of Structural and Civil Engineering 2012, Volume 6, Issue 1,   Pages 57-68 doi: 10.1007/s11709-012-0139-9

Abstract: The three-dimensional mode-deformable discrete element method (3MDEM) is an extended distinct element

Keywords： mode discrete element method     elastoplastic     numerical method     discontinuum     contact    

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Optimization of formation for multi-agent systems based on LQR

Chang-bin Yu, Yin-qiu Wang, Jin-liang Shao,brad.yu@anu.edu.au,wh6508@gmail.com,jinliangshao@126.com

Frontiers of Information Technology & Electronic Engineering 2016, Volume 17, Issue 2,   Pages 96-109 doi: 10.1631/FITEE.1500490

Abstract: In this paper, three optimal linear algorithms are proposed for first-order linear from a perspective with cost functions consisting of both interaction energy cost and individual energy cost, because both the collective object (such as formation or consensus) and the individual goal of each agent are very important for the overall system. First, we propose the optimal formation algorithm for first-order without initial physical couplings. The parameter matrix of the algorithm is the solution to an . It is shown that the matrix is the sum of a Laplacian matrix and a positive definite diagonal matrix. Next, for physically interconnected , the optimal formation algorithm is presented, and the corresponding parameter matrix is given from the solution to a group of quadratic equations with one unknown. Finally, if the communication topology between agents is fixed, the local feedback gain is obtained from the solution to a quadratic equation with one unknown. The equation is derived from the derivative of the cost function with respect to the local feedback gain. Numerical examples are provided to validate the effectiveness of the proposed approaches and to illustrate the geometrical performances of .

Keywords： Linear quadratic regulator (LQR)     Formation control     Algebraic Riccati equation (ARE)     Optimal control    

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The smoothed finite element method (S-FEM): A framework for the design of numerical models for desired

Gui-Rong Liu

Frontiers of Structural and Civil Engineering 2019, Volume 13, Issue 2,   Pages 456-477 doi: 10.1007/s11709-019-0519-5

Abstract:

The smoothed finite element method (S-FEM) was originated by G R Liu by combining some meshfree techniqueswith the well-established standard finite element method (FEM).

Keywords： computational method     finite element method     smoothed finite element method     strain smoothing technique    

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Explicit optimization method for cutting-screw-thread on the basis of dual-RSM

Zhengbao LEI, Shubin WEI, Qingyun DU

Frontiers of Mechanical Engineering 2010, Volume 5, Issue 4,   Pages 423-430 doi: 10.1007/s11465-010-0109-7

Abstract: Second, the peak acceleration function of each parameter by using response surface method (RSM) is obtainedA dual RSM-based explicit method is proposed.This method can satisfy the demand for engineering accuracy.

Keywords： vehicle engineering     crash     safety     explicit method     response surface method    

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Application of random set method in a deep excavation: based on a case study in Tehran cemented alluvium

Arash SEKHAVATIAN, Asskar Janalizadeh CHOOBBASTI

Frontiers of Structural and Civil Engineering 2019, Volume 13, Issue 1,   Pages 66-80 doi: 10.1007/s11709-018-0461-y

Abstract: layers of cemented coarse grained soil located in Tehran, Iran by non-deterministic Random Set (RS) methodIn order to enhance the acceptability of the method among engineers, a pertinent code was written in

Keywords： uncertainty     reliability analysis     deep excavations     random set method     finite difference method    

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Title Author Date Type Operation

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

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

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

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

Journal Article

Algebraic-stress Turbulent Model of Planar 2-D Pollutant Convection-Diffusion in Curvilinear Coordinates

Wu Xiuguang,Shen Yongming,Wang Min,Yang Zhifeng

Journal Article

Generation of closed-form inverse kinematics for reconfigurable robots

ZHAO Jie, WANG Weizhong, GAO Yongsheng, CAI Hegao

Journal Article

Reducing power grid cascading failure propagation by minimizing algebraic connectivity in edge addition

Supaporn LONAPALAWONG, Jiangzhe YAN, Jiayu LI, Deshi YE, Wei CHEN, Yong TANG, Yanhao HUANG, Can WANG,11821132@zju.edu.cn,wcan@zju.edu.cn

Journal Article

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

Journal Article

Comparison of shallow tunneling method with pile and rib method for construction of subway station in

Sina AMIRI; Ali Naghi DEHGHAN

Journal Article

Development of a new method for RMR and Q classification method to optimize support system in tunneling

Asghar RAHMATI,Lohrasb FARAMARZI,Manouchehr SANEI

Journal Article

Independent cover meshless particle method for complex geotechnical engineering

Jianqiu WU, Yongchang CAI

Journal Article

3D mode discrete element method with the elastoplastic model

Wei HU, Feng JIN, Chong ZHANG, Jinting WANG

Journal Article

Optimization of formation for multi-agent systems based on LQR

Chang-bin Yu, Yin-qiu Wang, Jin-liang Shao,brad.yu@anu.edu.au,wh6508@gmail.com,jinliangshao@126.com

Journal Article

The smoothed finite element method (S-FEM): A framework for the design of numerical models for desired

Gui-Rong Liu

Journal Article

Explicit optimization method for cutting-screw-thread on the basis of dual-RSM

Zhengbao LEI, Shubin WEI, Qingyun DU

Journal Article

Application of random set method in a deep excavation: based on a case study in Tehran cemented alluvium

Arash SEKHAVATIAN, Asskar Janalizadeh CHOOBBASTI

Journal Article