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Differential evolution based computation intelligence solver for elliptic partial differential equations Research Article

Muhammad Faisal Fateh, Aneela Zameer, Sikander M. Mirza, Nasir M. Mirza, Muhammad Saeed Aslam, Muhammad Asif Zahoor Raja,muhammad.aslam@adelaide.edu.au

Frontiers of Information Technology & Electronic Engineering 2019, Volume 20, Issue 10, Pages 1445-1456 doi: 10.1631/FITEE.1900221

Abstract: A based methodology is introduced for the solution of elliptic s (PDEs) with Dirichlet and/or Neumann boundary conditions. The solutions evolve over bounded domains throughout the interior nodes by minimization of nodal deviations among the population. The elliptic PDEs are replaced by the corresponding system of finite difference approximation, yielding an expression for nodal residues. The global residue is declared as the root-mean-square value of the nodal residues and taken as the cost function. The standard is then used for the solution of elliptic PDEs by conversion to a minimization problem of the global residue. A set of benchmark problems consisting of both linear and nonlinear elliptic PDEs has been considered for validation, proving the effectiveness of the proposed algorithm. To demonstrate its robustness, sensitivity analysis has been carried out for various operators and parameters. Comparison of the based computed nodal values with the corresponding data obtained using the exact analytical expressions shows the accuracy and convergence of the proposed methodology.

Keywords：差分进化；边界值问题；偏微分方程；有限差分法；数值计算

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Adaptive neural network based boundary control of a flexible marine riser system with output constraints Research Article

Chuyang YU, Xuyang LOU, Yifei MA, Qian YE, Jinqi ZHANG,sunrise_ycy@stu.jiangnan.edu.cn,Louxy@jiangnan.edu.cn

Frontiers of Information Technology & Electronic Engineering 2022, Volume 23, Issue 8, Pages 1229-1238 doi: 10.1631/FITEE.2100586

Abstract: In this study, we develop an adaptive based method for a flexible with unknown nonlinear disturbances and s to suppress vibrations. We begin with describing the dynamic behavior of the riser system using a distributed parameter system with s. To compensate for the effect of nonlinear disturbances, we construct a based ler using a radial basis to reduce vibrations. Under the proposed ler, the state of the riser is guaranteed to be uniformly bounded based on the Lyapunov method. The proposed methodology provides a way to integrate s into for other flexible robotic manipulator systems. Finally, numerical simulations are given to demonstrate the effectiveness of the proposed control method.

Keywords： Marine riser system Partial differential equation Neural network Output constraint Boundary control Unknown disturbance

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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 complex processes or phenomena perturbed by random noise from different sources. The identification of SDEs governing a system is often a challenge because of the inherent strong stochasticity of data and the complexity of the system’s dynamics. The practical utility of existing parametric approaches for identifying SDEs is usually limited by insufficient data resources. This study presents a novel framework for identifying SDEs by leveraging the sparse Bayesian learning (SBL) technique to search for a parsimonious, yet physically necessary representation from the space of candidate basis functions. More importantly, we use the analytical tractability of SBL to develop an efficient way to formulate the linear regression problem for the discovery of SDEs that requires considerably less time-series data. The effectiveness of the proposed framework is demonstrated using real data on stock and oil prices, bearing variation, and wind speed, as well as simulated data on well-known stochastic dynamical systems, including the generalized Wiener process and Langevin equation. This framework aims to assist specialists in extracting
stochastic mathematical models from random phenomena in the natural sciences, economics, and engineering fields for analysis, prediction, and decision making.

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

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Effect of Discharge Facilities for Unusual Flood Release on Dam Safety

Wu Shiqiang,Jiang Shuhai

Strategic Study of CAE 2000, Volume 2, Issue 12, Pages 66-72

Abstract:

To predict the risk assessment of a dam which constructs two special tunnels for unusual flood release, a method based on stochastic differential equation is developed in this paper. After analyzing the sensitivity of computational conditions on discharge risk, the requirement for useing two unusual tunnels in this project and their discharge risk are discussed, which provides a scientific basis for making decision on unusual tunnel design plan. The analyzed results show that the risk level of unusual tunnel plan can keep the same as that of the original design plan. Therefore, it proves that the unusual tunnel plan is reasonable.

Keywords： dam safety flood discharge risk analysis stochastic differential equation

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Neuro-heuristic computational intelligence for solving nonlinear pantograph systems Article

Muhammad Asif Zahoor RAJA, Iftikhar AHMAD, Imtiaz KHAN, Muhammed Ibrahem SYAM, Abdul Majid WAZWAZ

Frontiers of Information Technology & Electronic Engineering 2017, Volume 18, Issue 4, Pages 464-484 doi: 10.1631/FITEE.1500393

Abstract: We present a neuro-heuristic computing platform for finding the solution for initial value problems (IVPs) of nonlinear pantograph systems based on functional differential equations (P-FDEs) of different orders. In this scheme, the strengths of feed-forward artificial neural networks (ANNs), the evolutionary computing technique mainly based on genetic algorithms (GAs), and the interior-point technique (IPT) are exploited. Two types of mathematical models of the systems are constructed with the help of ANNs by defining an unsupervised error with and without exactly satisfying the initial conditions. The design parameters of ANN models are optimized with a hybrid approach GA–IPT, where GA is used as a tool for effective global search, and IPT is incorporated for rapid local convergence. The proposed scheme is tested on three different types of IVPs of P-FDE with orders 1–3. The correctness of the scheme is established by comparison with the existing exact solutions. The accuracy and convergence of the proposed scheme are further validated through a large number of numerical experiments by taking different numbers of neurons in ANN models.

Keywords： Neural networks Initial value problems (IVPs) Functional differential equations (FDEs) Unsupervised learning Genetic algorithms (GAs) Interior-point technique (IPT)

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High Order Differential Feedback Control for Nonlinear Systems

Qi Guoyuan,Chen Zengqiang,Yuan Zhuzhi

Strategic Study of CAE 2003, Volume 5, Issue 8, Pages 35-44

Abstract:

This article presents high differential feedback control idea that does not rely on the model of the controlled system. Its control objective is that the output of the system and its differential and high differentials approximate the given reference input and its differential and high order differentials. It will improve largely the requirement of the control quality. Based on the idea, the high order differentiator (HOD) that is well able to extract differential and high order differentials of measured signals is designed. The proposed HOD has a few parameters and is easily adjusted. Its stability, convergence and filtering characteristic are proved. Furthermore, is designed, high order differential feedback adaptive controllers (HODFC) for unknown model nonlinear SISO and MIMO systems with unknown disturbance are presents respectively, the analysis of stability and robustness of the closed system is given, and linearized decoupling control is achieved.

Keywords： high order differentiator high differential feedback controller stability robustness decoupling control

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Expressions for Differential and Apparent Coefficients of Static Friction

Wang Weiyuan

Strategic Study of CAE 2001, Volume 3, Issue 8, Pages 29-32

Abstract:

Recently, scientists and engineers are interested in coefficients of static friction on micro and nano scale. On macro scale, the friction force is proportional to load, the apparent coefficients of static friction are always constant and not related with the load and the contact area between the load and the substrate, which have been described as Amontons' laws. However, a lot of experiments carried out with scanning microscope, atomic force microscope and friction force microscope on micro or nano scale showed that Amontons' laws can not used successfully. On micro or nano scale, there is no general expression published in literatures to describe the relationship between the coefficients of static friction and the load. Also the published data do not compare with and discuss each other. In this paper, from the definition of differential coefficients of static friction, the expressions for differential and apparent coefficients of static friction, 〓 and 〓 for several models are deduced. Only 〓 can be measured in experiments, which can be the coefficients on micro or macro scale depending on the load on the substract, but 〓 can not be measured because the differential variables are too small to measure. In Amontons' model, 〓 equals to 〓 and both are constant. In single asperity model with load on micro or nano scale, 〓 and 〓 are not constant but propotional to P^-1. In the model based on absoption layers as third bodies between two contact bodies, 〓 is a constant, 〓 is not a constant but proportional to P^-1. 〓 is a constant only in high normal pressure. In the model based on constant P, 〓 and 〓 are related with F and A . Finally, the experimental data published in literatures have been discussed based on the novelly deduced expressions.

Keywords： differential coefficients of static friction coefficients of static friction on micro or nano scale apparent coefficients of static friction coefficients of static friction on macro scale

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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 application of deepwater drilling riser and Ritz methods in elastoplastic mechanics. Axial tension, inclination angle, lateral gravity components and axial gravity components were considered. Therefore, simple calculation method for natural frequency of drilling riser was achieved. Free-hinged beam was taken as constraint condition of flexural equation combined with drilling string real conditions, which made research approach practical work more. Purpose of research was to provide reasonable design and selection for deepwater drilling riser, and provide a more efficient and applied method, which would show guiding significance for deepwater drilling operation.

Keywords： deepwater drilling drilling riser flexural equation natural frequency shape function

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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. It is discretized by use of the predictor-corrector scheme. The numerical model applied to the propagation of waves over a submerged bar can produce results that are in general agreement with some laboratory measurements. The surface transformation of waves over the submerged bar is reproduced successfully by the numerical simulation. Comparison of numerical results with experimental data shows that the modified Boussinesq equation itself and the numerical solution method for it need to be studied further. These results can give some theoretical guidance to the applications of Boussinesq equation to wave propagation over complex topography in coastal areas.

Keywords： modified Boussinesq equation numerical simulation wave propagation submerged bar

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Aircraft safety analysis based on differential manifold theory and bifurcation method None

Chi ZHOU, Ying-hui LI, Wu-ji ZHENG, Peng-wei WU

Frontiers of Information Technology & Electronic Engineering 2019, Volume 20, Issue 2, Pages 292-299 doi: 10.1631/FITEE.1700435

Abstract:

Loss of control (LOC) is considered one of the leading causes of fatal aircraft accidents worldwide. Reducing LOC is critical to improve flight safety. Although it is still vaguely defined, LOC is generally associated with a flight state that is outside the safety envelope, with nonlinear influences of aircraft dynamics and incorrect handling by the flight crew. We have studied how nonlinear factors and pilot operations contribute to LOC. In this study, the stall point and bifurcation point are confirmed using the bifurcation analysis, and the results show that the aircraft will stall when excessive elevator movement is commanded. Moreover, even though there may be an equilibrium state in one of the elevator deflections, the flight state may still be outside the flight safety envelope. When the flight state is near the edge of the flight safety envelope, the strategy to regulate the elevator deflection is super-sensitive, and a slight change in the elevator deflection may contribute to a flight state outside the safety envelope. To solve this issue, the differential manifold theory is introduced to determine the safety envelope. Examples are provided using NASA’s generic transport model.

Keywords： Loss of control Safety envelope Aircraft dynamic Bifurcation analysis Differential manifold theory

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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 phenomenological analysis and microscopic statistics. And on the basis of this several spallation criterions are established, which are used easily in engineering. By the numerical simulations of the free surface velocity histories and based on the best consistence between the computational results and the experimental ones, the material parameters in the damage evolution equation and the spallation criterion are obtained. The satisfactory agreement between the computational results and the experimental ones show that the new form of damage evolution equation and the spallation criterion are reasonable, and the method of determining the material parameters is effective.

Keywords： damage evolution equation spallation criterion numerical simulation

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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:

The friction factor for the turbulent flow in pipes is the binary nonlinear function of Reynolds number and relative roughness. Calculating friction factor by implicit Colebrook equation have to use iterative algorithm, which is discommodious.The intelligent fitting method for binary nonlinear polynomials was presented in order to obtain a high precise and simple form explicit equation for calculating the friction factor. The binary nonlinear polynomial was firstly transformed into multivariate linear polynomials, and the least squares standard matrix was established. Then the number, the form, the index and the coefficient of polynomials term were searched to obtain the optimum function by genetic algorithms combined with matrix method. Fitting the data calculated by Colebrook equation with the above method, a new explicit equation for calculating the friction factor for the turbulent flow in pipes was obtained. The new equation can reproduce the Colebrook equation with average deviation of 0.5% and the maximum deviation of 1.8% in the range of Reynolds number being 3 000≤Re≤10⁸ and relative roughness being 0≤e/d≤0.05，and it has an average deviation of 2.3 % to the experimental data. The new equation has the advantages such as simple form, high precise, wide range of application, and can be simplified to the equation for calculating the friction factor in the range of smooth pipe and the rough region easily.

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

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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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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 shock wave propagation characteristics of the polyester have been measured by recording the shock wave profile produced by the impact of projectiles accelerated in a light gas gun. The impact velocities in the experiments were from 323 m/s to 526 m/s, and the corresponding peaks of impact stresses in the targets were from 0.632 to 2.137 GPa. The Hugoniot relation, expressed as the curve of shock wave velocity versus particle velocity, obtained from the experiments shows linearity in the testing stress range. The polynomial equation of state is obtained by regression of the experimental data and the Grüneisen coefficient is calculated.

Keywords： polyester equation of state Hugoniot the shock wave

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A Control System Based on the Lagrange Modeling Method for a Single Link Rotary Inverted Pendulum

Wu Aiguo,Zhang Xiaoming,Zhang Zhao

Strategic Study of CAE 2005, Volume 7, Issue 10, Pages 11-15

Abstract:

In this paper the design and realization of the rotary inverted pendulum (RIP) control system is presented. After analyzing its dynamic characteristics, the system model based on Lagrange method is devised. In addition, linear quadratic regulator (LQR) is designed and implemented on the RIP system by successfully balancing the pendulum in the inverted position. Simulation and experimental results are presented to show the stable and robust responses of the control system.

Keywords： rotary inverted pendulum Lagrange method LQR control strategy

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Title Author Date Type Operation

Differential evolution based computation intelligence solver for elliptic partial differential equations

Muhammad Faisal Fateh, Aneela Zameer, Sikander M. Mirza, Nasir M. Mirza, Muhammad Saeed Aslam, Muhammad Asif Zahoor Raja,muhammad.aslam@adelaide.edu.au

Journal Article

Adaptive neural network based boundary control of a flexible marine riser system with output constraints

Chuyang YU, Xuyang LOU, Yifei MA, Qian YE, Jinqi ZHANG,sunrise_ycy@stu.jiangnan.edu.cn,Louxy@jiangnan.edu.cn

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

Effect of Discharge Facilities for Unusual Flood Release on Dam Safety

Wu Shiqiang,Jiang Shuhai

Journal Article

Neuro-heuristic computational intelligence for solving nonlinear pantograph systems

Muhammad Asif Zahoor RAJA, Iftikhar AHMAD, Imtiaz KHAN, Muhammed Ibrahem SYAM, Abdul Majid WAZWAZ

Journal Article

High Order Differential Feedback Control for Nonlinear Systems

Qi Guoyuan,Chen Zengqiang,Yuan Zhuzhi

Journal Article

Expressions for Differential and Apparent Coefficients of Static Friction

Wang Weiyuan