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M.R. AKBARI,D.D. GANJI,A.R. AHMADI,Sayyid H. Hashemi KACHAPI
《机械工程前沿(英文)》 2014年 第9卷 第1期 页码 58-70 doi: 10.1007/s11465-014-0289-7
In the current paper, a simplified model of Tower Cranes has been presented in order to investigate and analyze the nonlinear differential equation governing on the presented system in three different cases by Algebraic Method (AGM). Comparisons have been made between AGM and Numerical Solution, and these results have been indicated that this approach is very efficient and easy so it can be applied for other nonlinear equations. It is citable that there are some valuable advantages in this way of solving differential equations and also the answer of various sets of complicated differential equations can be achieved in this manner which in the other methods, so far, they have not had acceptable solutions. The simplification of the solution procedure in Algebraic Method and its application for solving a wide variety of differential equations not only in Vibrations but also in different fields of study such as fluid mechanics, chemical engineering, etc. make AGM be a powerful and useful role model for researchers in order to solve complicated nonlinear differential equations.
关键词: Algebraic Method (AGM) tower crane oscillating system angular frequency
Solving nonlinear differential equations of Vanderpol, Rayleigh and Duffing by AGM
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《机械工程前沿(英文)》 2014年 第9卷 第2期 页码 177-190 doi: 10.1007/s11465-014-0288-8
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 Algebraic Method (AGM). Investigating this kind of equations is a very hard task to do and the obtained solution is not accurate and reliable. This issue will be emerged after comparing the achieved solutions by numerical method (Runge-Kutte 4th). Based 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 particularly for difficult ones. The results reveal that this method is not only very effective and simple, but also reliable, and can be applied for other complicated nonlinear problems.
关键词: Algebraic Method (AGM) Angular Frequency Vanderpol Rayleigh Duffing
M. R. AKBARI,D. D. GANJI,M. NIMAFAR,A. R. AHMADI
《机械工程前沿(英文)》 2014年 第9卷 第4期 页码 390-401 doi: 10.1007/s11465-014-0313-y
In this paper, we aim to promote the capability of solving two complicated nonlinear differential equations: 1) Static analysis of the structure with variable cross section areas and materials with slope-deflection method; 2) the problem of one dimensional heat transfer with a logarithmic various surface A(x) and a logarithmic various heat generation 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 is very effective and simple and can be applied for other nonlinear problems. It is significant that there are some valuable advantages in this method and also most of the differential equations sets can be answered in this manner while in other methods there is no guarantee to obtain the good results up to now. Brief excellences of this method compared to other approaches are as follows: 1) Differential equations can be solved directly by this method; 2) without any dimensionless procedure, equation(s) can be solved; 3) it is not necessary to convert variables into new ones. According to the aforementioned assertions which are proved in this case study, the process of solving nonlinear equation(s) is very easy and convenient in comparison to other methods.
关键词: AGM extended surface heat transfer slope-deflection method
Generation of closed-form inverse kinematics for reconfigurable robots
ZHAO Jie, WANG Weizhong, GAO Yongsheng, CAI Hegao
《机械工程前沿(英文)》 2008年 第3卷 第1期 页码 91-96 doi: 10.1007/s11465-008-0013-6
关键词: different effectiveness generation reconfigurable algebraic
通过最小化边缘添加中的代数连接度来减少电网级联故障传播 Research Articles
Supaporn LONAPALAWONG1,颜姜哲2,李家雨3,叶德仕2,陈为1,汤涌4,黄彦浩4,王灿2
《信息与电子工程前沿(英文)》 2022年 第23卷 第3期 页码 382-397 doi: 10.1631/FITEE.2000596
M. R. AKBARI,M. NIMAFAR,D. D. GANJI,M. M. AKBARZADE
《机械工程前沿(英文)》 2014年 第9卷 第4期 页码 402-408 doi: 10.1007/s11465-014-0316-8
The kinematic assumptions upon which the Euler-Bernoulli beam theory is founded allow it to be extended to more advanced analysis. Simple superposition allows for three-dimensional transverse loading. Using alternative constitutive equations can allow for viscoelastic or plastic beam deformation. Euler-Bernoulli beam theory can also be extended to the analysis of curved beams, beam buckling, composite beams and geometrically nonlinear beam deflection. In this study, solving the nonlinear differential equation governing the calculation of the large rotation deviation of the beam (or column) has been discussed. Previously to calculate the rotational deviation of the beam, the assumption is made that the angular deviation of the beam is small. By considering the small slope in the linearization of the governing differential equation, the solving is easy. The result of this simplification in some cases will lead to an excessive error. In this paper 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 easily be solved and without any mathematical operations such as integration solving. The solution of the problem can be obtained very simply and easily. Furthermore, to enhance the accuracy of the results, the Taylor expansion is not needed in most cases via AGM manner. Also, 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 problems.
关键词: AGM critical load of columns large deformations of beam nonlinear differential equation
Sina AMIRI; Ali Naghi DEHGHAN
《结构与土木工程前沿(英文)》 2022年 第16卷 第6期 页码 704-717 doi: 10.1007/s11709-021-0746-4
关键词: shallow tunneling method pile and rib method ground surface settlement subway station construction numerical modeling
Asghar RAHMATI,Lohrasb FARAMARZI,Manouchehr SANEI
《结构与土木工程前沿(英文)》 2014年 第8卷 第4期 页码 448-455 doi: 10.1007/s11709-014-0262-x
Independent cover meshless particle method for complex geotechnical engineering
Jianqiu WU, Yongchang CAI
《结构与土木工程前沿(英文)》 2018年 第12卷 第4期 页码 515-526 doi: 10.1007/s11709-017-0428-4
关键词: meshless method particle method independent cover CTM geotechnical engineering
3D mode discrete element method with the elastoplastic model
Wei HU, Feng JIN, Chong ZHANG, Jinting WANG
《结构与土木工程前沿(英文)》 2012年 第6卷 第1期 页码 57-68 doi: 10.1007/s11709-012-0139-9
关键词: mode discrete element method elastoplastic numerical method discontinuum contact
Chang-bin Yu, Yin-qiu Wang, Jin-liang Shao,brad.yu@anu.edu.au,wh6508@gmail.com,jinliangshao@126.com
《信息与电子工程前沿(英文)》 2016年 第17卷 第2期 页码 96-109 doi: 10.1631/FITEE.1500490
Gui-Rong Liu
《结构与土木工程前沿(英文)》 2019年 第13卷 第2期 页码 456-477 doi: 10.1007/s11709-019-0519-5
The smoothed finite element method (S-FEM) was originated by G R Liu by combining some meshfree techniques with the well-established standard finite element method (FEM). It has a family of models carefully designed with innovative types of smoothing domains. These models are found having a number of important and theoretically profound properties. This article first provides a concise and easy-to-follow presentation of key formulations used in the S-FEM. A number of important properties and unique features of S-FEM models are discussed in detail, including 1) theoretically proven softening effects; 2) upper-bound solutions; 3) accurate solutions and higher convergence rates; 4) insensitivity to mesh distortion; 5) Jacobian-free; 6) volumetric-locking-free; and most importantly 7) working well with triangular and tetrahedral meshes that can be automatically generated. The S-FEM is thus ideal for automation in computations and adaptive analyses, and hence has profound impact on AI-assisted modeling and simulation. Most importantly, one can now purposely design an S-FEM model to obtain solutions with special properties as wish, meaning that S-FEM offers a framework for design numerical models with desired properties. This novel concept of numerical model on-demand may drastically change the landscape of modeling and simulation. Future directions of research are also provided.
关键词: computational method finite element method smoothed finite element method strain smoothing technique smoothing domain weakened weak form solid mechanics softening effect upper bound solution
Explicit optimization method for cutting-screw-thread on the basis of dual-RSM
Zhengbao LEI, Shubin WEI, Qingyun DU
《机械工程前沿(英文)》 2010年 第5卷 第4期 页码 423-430 doi: 10.1007/s11465-010-0109-7
关键词: vehicle engineering crash safety explicit method response surface method
Arash SEKHAVATIAN, Asskar Janalizadeh CHOOBBASTI
《结构与土木工程前沿(英文)》 2019年 第13卷 第1期 页码 66-80 doi: 10.1007/s11709-018-0461-y
关键词: uncertainty reliability analysis deep excavations random set method finite difference method
标题 作者 时间 类型 操作
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
期刊论文
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
期刊论文
Generation of closed-form inverse kinematics for reconfigurable robots
ZHAO Jie, WANG Weizhong, GAO Yongsheng, CAI Hegao
期刊论文
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
期刊论文
Comparison of shallow tunneling method with pile and rib method for construction of subway station in
Sina AMIRI; Ali Naghi DEHGHAN
期刊论文
Development of a new method for RMR and Q classification method to optimize support system in tunneling
Asghar RAHMATI,Lohrasb FARAMARZI,Manouchehr SANEI
期刊论文
Independent cover meshless particle method for complex geotechnical engineering
Jianqiu WU, Yongchang CAI
期刊论文
3D mode discrete element method with the elastoplastic model
Wei HU, Feng JIN, Chong ZHANG, Jinting WANG
期刊论文
基于线性二次最优化的多智能体编队控制
Chang-bin Yu, Yin-qiu Wang, Jin-liang Shao,brad.yu@anu.edu.au,wh6508@gmail.com,jinliangshao@126.com
期刊论文
The smoothed finite element method (S-FEM): A framework for the design of numerical models for desired
Gui-Rong Liu
期刊论文
Explicit optimization method for cutting-screw-thread on the basis of dual-RSM
Zhengbao LEI, Shubin WEI, Qingyun DU
期刊论文