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Analyzing the nonlinear vibrational wave differential equation for the simplified model of Tower Cranesby Algebraic Method

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: model of Tower Cranes has been presented in order to investigate and analyze the nonlinear differential equationgoverning on the presented system in three different cases by Algebraic Method (AGM).The simplification of the solution procedure in Algebraic Method and its application for solving a wide

Keywords： Algebraic Method (AGM)     tower crane     oscillating system     angular frequency    

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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: topology between agents is fixed, the local feedback gain is obtained from the solution to a quadratic equationThe equation is derived from the derivative of the cost function with respect to the local feedback gain

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

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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 shallow-water equations and pollutant convective-diffusive equation are transformed into curvilinearThe 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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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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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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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 identified

Keywords： different     effectiveness     generation     reconfigurable     algebraic    

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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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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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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 Algebraic

Keywords： Algebraic Method (AGM)     Angular Frequency     Vanderpol     Rayleigh     Duffing    

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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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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: Analyzing under various circumstances is generally regarded as a challenging problem. Robustness against failure is one of the essential properties of large-scale dynamic network systems such as s, transportation systems, communication systems, and computer networks. Due to the network diversity and complexity, many topological features have been proposed to capture specific system properties. For s, a popular process for improving a network’s structural robustness is via the topology design. However, most of existing methods focus on localized network metrics, such as node connectivity and edge connectivity, which do not encompass a global perspective of cascading propagation in a . In this paper, we use an informative global metric because it is sensitive to the connectedness in a broader spectrum of graphs. Our process involves decreasing the in a by minimizing the increase in its . We propose a topology-based greedy strategy to optimize the robustness of the . To evaluate the , we calculate the using MATCASC to simulate cascading line outages in s. 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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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    

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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

Abstract: Calculating friction factor by implicit Colebrook equation have to use iterative algorithm, which isFitting the data calculated by Colebrook equation with the above method, a new explicit equation forThe new equation can reproduce the Colebrook equation with average deviation of 0.5% and the maximumThe new equation has the advantages such as simple form, high precise, wide range of application, andcan be simplified to the equation for calculating the friction factor in the range of smooth pipe and

Keywords： turbulent flow     friction factor     implicit Colebrook equation     genetic algorithms     intelligent fitting method     explicit equation    

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Title Author Date Type Operation

Analyzing the nonlinear vibrational wave differential equation for the simplified model of Tower Cranesby Algebraic Method

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

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

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

Wu Xiuguang,Shen Yongming,Wang Min,Yang Zhifeng

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

Generation of closed-form inverse kinematics for reconfigurable robots

ZHAO Jie, WANG Weizhong, GAO Yongsheng, CAI Hegao

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

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 Study on the Parabolic Mild-slope Equation

Shen Yongming,Zheng Yonghong,Wu Xiuguang

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

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