Search results for: differential assisted steering
2339 Exact and Approximate Controllability of Nuclear Dynamics Using Bilinear Controls
Authors: Ramdas Sonawane, Mahaveer Gadiya
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The control problem associated with nuclear dynamics is represented by nonlinear integro-differential equation with additive controls. To control chain reaction, certain amount of neutrons is added into (or withdrawn out of) chamber as and when required. It is not realistic. So, we can think of controlling the reactor dynamics by bilinear control, which enters the system as coefficient of state. In this paper, we study the approximate and exact controllability of parabolic integro-differential equation controlled by bilinear control with non-homogeneous boundary conditions in bounded domain. We prove the existence of control and propose an explicit control strategy.Keywords: approximate control, exact control, bilinear control, nuclear dynamics, integro-differential equations
Procedia PDF Downloads 4122338 Chemical Composition of the Essential Oil of Citrus aurantium Isolated by Solvent Free Microwave Assisted Extraction and Hydrodistillation Extraction
Authors: Masume Rezaie, Mohammad H. Farjam
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Chemical composition of Citrus aurantium was studied by solvent free microwave extraction (SFME) and hydrodistillation (HD) methods. Limonene (76.06% SFME and 67.04% HD), Linalool (4.91% SFME and 10.08% HD) and Linalyl Acetate (8.52% SFME and 5.10% HD) were the major compounds that obtained by SFME and hydrodistillation, respectively.Keywords: microwave-assisted, GC-MS, essential oils, hydrodistillation, citrus aurantium
Procedia PDF Downloads 3302337 Static Eccentricity Fault Diagnosis in Synchronous Reluctance Motor and Permanent Magnet Assisted Synchronous Reluctance Motor
Authors: M. Naeimi, H. Aghazadeh, E. Afjei, A. Siadatan
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In this paper, a novel view of air gap magnetic field analysis of synchronous reluctance motor and permanent magnet assisted synchronous reluctance motor under static eccentricity to provide the precise fault diagnosis based on three-dimensional finite element method is presented. Analytical nature of this method makes it possible to simulate reliable and precise model by considering the end effects and axial fringing effects. The results of the three-dimensional finite element analysis of synchronous reluctance motor and permanent magnet synchronous reluctance motor such as flux linkage, flux density, and compression both of SynRM and PM-SynRM for various eccentric motor conditions are obtained and analyzed. These results present useful information regarding to the detection of static eccentricity.Keywords: synchronous reluctance motor (SynRM), permanent magnet assisted synchronous reluctance motor (PMaSynRM), finite element method, static eccentricity, fault analysis
Procedia PDF Downloads 2862336 Solving Stochastic Eigenvalue Problem of Wick Type
Authors: Hassan Manouzi, Taous-Meriem Laleg-Kirati
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In this paper we study mathematically the eigenvalue problem for stochastic elliptic partial differential equation of Wick type. Using the Wick-product and the Wiener-Ito chaos expansion, the stochastic eigenvalue problem is reformulated as a system of an eigenvalue problem for a deterministic partial differential equation and elliptic partial differential equations by using the Fredholm alternative. To reduce the computational complexity of this system, we shall use a decomposition-coordination method. Once this approximation is performed, the statistics of the numerical solution can be easily evaluated.Keywords: eigenvalue problem, Wick product, SPDEs, finite element, Wiener-Ito chaos expansion
Procedia PDF Downloads 3292335 Design of Reconfigurable Supernumerary Robotic Limb Based on Differential Actuated Joints
Authors: Qinghua Zhang, Yanhe Zhu, Xiang Zhao, Yeqin Yang, Hongwei Jing, Guoan Zhang, Jie Zhao
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This paper presents a wearable reconfigurable supernumerary robotic limb with differential actuated joints, which is lightweight, compact and comfortable for the wearers. Compared to the existing supernumerary robotic limbs which mostly adopted series structure with large movement space but poor carrying capacity, a prototype with the series-parallel configuration to better adapt to different task requirements has been developed in this design. To achieve a compact structure, two kinds of cable-driven mechanical structures based on guide pulleys and differential actuated joints were designed. Moreover, two different tension devices were also designed to ensure the reliability and accuracy of the cable-driven transmission. The proposed device also employed self-designed bearings which greatly simplified the structure and reduced the cost.Keywords: cable-driven, differential actuated joints, reconfigurable, supernumerary robotic limb
Procedia PDF Downloads 1872334 An Efficient Collocation Method for Solving the Variable-Order Time-Fractional Partial Differential Equations Arising from the Physical Phenomenon
Authors: Haniye Dehestani, Yadollah Ordokhani
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In this work, we present an efficient approach for solving variable-order time-fractional partial differential equations, which are based on Legendre and Laguerre polynomials. First, we introduced the pseudo-operational matrices of integer and variable fractional order of integration by use of some properties of Riemann-Liouville fractional integral. Then, applied together with collocation method and Legendre-Laguerre functions for solving variable-order time-fractional partial differential equations. Also, an estimation of the error is presented. At last, we investigate numerical examples which arise in physics to demonstrate the accuracy of the present method. In comparison results obtained by the present method with the exact solution and the other methods reveals that the method is very effective.Keywords: collocation method, fractional partial differential equations, legendre-laguerre functions, pseudo-operational matrix of integration
Procedia PDF Downloads 1412333 Influence of Animal Assisted Activity with Cat on Emotions of People with Intellectual Disabilities: Preliminary Study
Authors: Angelika Magiera, Weronika Penar, Czesław Klocek
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Intellectual disability (ID) affects approximately 1.55% of children and adults in the society of developed countries. Depending on the ID degree, the patient is burdened with additional disease entities. Intellectual disability does not only limits a person’s opportunities to participate in social life but also affects whole families. People with ID belong to the group of risk of mental illnesses, they are less emotionally stable, while families are predisposed to depression. The study was held in a day care center for people with intellectual disabilities (of various degrees of disability) on 26 people. Nurses and carers also took part. The age range of study groups ranged from 22 to 67 years. Therapeutic classes were held for four independent mixed groups (sex and intellectual disability degree) from 6 to 7 people each, lasting no more than 30 minutes. They were created by the facility's staff to make sure that a group is stable. The animal assisted activity took place with a 2.5-year-old Ragdoll cat. The animal has passed the exam (certificate entitling her to take part in felinotherapy) and had 1.5 years of work experience. Due to the different degrees of ID, an individual emotional state survey was conducted among the caregivers of those who were involved in the activity, to assess the impact of animal assisted activity with a cat on patients. A positive effect on the emotional state of people with different types of intellectual disability was observed. Caregivers and nurses of those participating in the study express willingness to continue these types of classes and consider them necessary for this group of people.Keywords: intellectual disabilities, animal-assisted activity, cat, feline, emotions
Procedia PDF Downloads 1152332 Photoresponse of Epitaxial GaN Films Grown by Plasma-Assisted Molecular Beam Epitaxy
Authors: Nisha Prakash, Kritika Anand, Arun Barvat, Prabir Pal, Sonachand Adhikari, Suraj P. Khanna
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Group-III nitride semiconductors (GaN, AlN, InN and their ternary and quaternary compounds) have attracted a great deal of attention for the development of high-performance Ultraviolet (UV) photodetectors. Any midgap defect states in the epitaxial grown film have a direct influence on the photodetectors responsivity. The proportion of the midgap defect states can be controlled by the growth parameters. To study this we have grown high quality epitaxial GaN films on MOCVD- grown GaN template using plasma-assisted molecular beam epitaxy (PAMBE) with different growth parameters. Optical and electrical properties of the films were characterized by room temperature photoluminescence and photoconductivity measurements, respectively. The observed persistent photoconductivity behaviour is proportional to the yellow luminescence (YL) and the absolute responsivity has been found to decrease with decreasing YL. The results will be discussed in more detail later.Keywords: gallium nitride, plasma-assisted molecular beam epitaxy, photoluminescence, photoconductivity, persistent photoconductivity, yellow luminescence
Procedia PDF Downloads 2892331 Optimal Control of Volterra Integro-Differential Systems Based on Legendre Wavelets and Collocation Method
Authors: Khosrow Maleknejad, Asyieh Ebrahimzadeh
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In this paper, the numerical solution of optimal control problem (OCP) for systems governed by Volterra integro-differential (VID) equation is considered. The method is developed by means of the Legendre wavelet approximation and collocation method. The properties of Legendre wavelet accompany with Gaussian integration method are utilized to reduce the problem to the solution of nonlinear programming one. Some numerical examples are given to confirm the accuracy and ease of implementation of the method.Keywords: collocation method, Legendre wavelet, optimal control, Volterra integro-differential equation
Procedia PDF Downloads 3622330 Modelling Structural Breaks in Stock Price Time Series Using Stochastic Differential Equations
Authors: Daniil Karzanov
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This paper studies the effect of quarterly earnings reports on the stock price. The profitability of the stock is modeled by geometric Brownian diffusion and the Constant Elasticity of Variance model. We fit several variations of stochastic differential equations to the pre-and after-report period using the Maximum Likelihood Estimation and Grid Search of parameters method. By examining the change in the model parameters after reports’ publication, the study reveals that the reports have enough evidence to be a structural breakpoint, meaning that all the forecast models exploited are not applicable for forecasting and should be refitted shortly.Keywords: stock market, earnings reports, financial time series, structural breaks, stochastic differential equations
Procedia PDF Downloads 1682329 Application of Wavelet Based Approximation for the Solution of Partial Integro-Differential Equation Arising from Viscoelasticity
Authors: Somveer Singh, Vineet Kumar Singh
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This work contributes a numerical method based on Legendre wavelet approximation for the treatment of partial integro-differential equation (PIDE). Operational matrices of Legendre wavelets reduce the solution of PIDE into the system of algebraic equations. Some useful results concerning the computational order of convergence and error estimates associated to the suggested scheme are presented. Illustrative examples are provided to show the effectiveness and accuracy of proposed numerical method.Keywords: legendre wavelets, operational matrices, partial integro-differential equation, viscoelasticity
Procedia PDF Downloads 4082328 A Case Study Comparing the Effect of Computer Assisted Task-Based Language Teaching and Computer-Assisted Form Focused Language Instruction on Language Production of Students Learning Arabic as a Foreign Language
Authors: Hanan K. Hassanein
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Task-based language teaching (TBLT) and focus on form instruction (FFI) methods were proven to improve quality and quantity of immediate language production. However, studies that compare between the effectiveness of the language production when using TBLT versus FFI are very little with results that are not consistent. Moreover, teaching Arabic using TBLT is a new field with few research that has investigated its application inside classrooms. Furthermore, to the best knowledge of the researcher, there are no prior studies that compared teaching Arabic as a foreign language in a classroom setting using computer-assisted task-based language teaching (CATBLT) with computer-assisted form focused language instruction (CAFFI). Accordingly, the focus of this presentation is to display CATBLT and CAFFI tools when teaching Arabic as a foreign language as well as demonstrate an experimental study that aims to identify whether or not CATBLT is a more effective instruction method. The effectiveness will be determined through comparing CATBLT and CAFFI in terms of accuracy, lexical complexity, and fluency of language produced by students. The participants of the study are 20 students enrolled in two intermediate-level Arabic as a foreign language classes. The experiment will take place over the course of 7 days. Based on a study conducted by Abdurrahman Arslanyilmaz for teaching Turkish as a second language, an in-house computer assisted tool for the TBLT and another one for FFI will be designed for the experiment. The experimental group will be instructed using the in-house CATBLT tool and the control group will be taught through the in-house CAFFI tool. The data that will be analyzed are the dialogues produced by students in both the experimental and control groups when completing a task or communicating in conversational activities. The dialogues of both groups will be analyzed to understand the effect of the type of instruction (CATBLT or CAFFI) on accuracy, lexical complexity, and fluency. Thus, the study aims to demonstrate whether or not there is an instruction method that positively affects the language produced by students learning Arabic as a foreign language more than the other.Keywords: computer assisted language teaching, foreign language teaching, form-focused instruction, task based language teaching
Procedia PDF Downloads 2272327 Multiple Positive Solutions for Boundary Value Problem of Nonlinear Fractional Differential Equation
Authors: A. Guezane-Lakoud, S. Bensebaa
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In this paper, we study a boundary value problem of nonlinear fractional differential equation. Existence and positivity results of solutions are obtained.Keywords: positive solution, fractional caputo derivative, Banach contraction principle, Avery and Peterson fixed point theorem
Procedia PDF Downloads 3852326 Large Amplitude Vibration of Sandwich Beam
Authors: Youssef Abdelli, Rachid Nasri
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The large amplitude free vibration analysis of three-layered symmetric sandwich beams is carried out using two different approaches. The governing nonlinear partial differential equations of motion in free natural vibration are derived using Hamilton's principle. The formulation leads to two nonlinear partial differential equations that are coupled both in axial and binding deformations. In the first approach, the method of multiple scales is applied directly to the governing equation that is a nonlinear partial differential equation. In the second approach, we discretize the governing equation by using Galerkin's procedure and then apply the shooting method to the obtained ordinary differential equations. In order to check the validity of the solutions obtained by the two approaches, they are compared with the solutions obtained by two approaches; they are compared with the solutions obtained numerically by the finite difference method.Keywords: finite difference method, large amplitude vibration, multiple scales, nonlinear vibration
Procedia PDF Downloads 4322325 Investigation a New Approach "AGM" to Solve of Complicate Nonlinear Partial Differential Equations at All Engineering Field and Basic Science
Authors: Mohammadreza Akbari, Pooya Soleimani Besheli, Reza Khalili, Davood Domiri Danji
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In this conference, our aims are accuracy, capabilities and power at solving of the complicated non-linear partial differential. Our purpose is to enhance the ability to solve the mentioned nonlinear differential equations at basic science and engineering field and similar issues with a simple and innovative approach. As we know most of engineering system behavior in practical are nonlinear process (especially basic science and engineering field, etc.) and analytical solving (no numeric) these problems are difficult, complex, and sometimes impossible like (Fluids and Gas wave, these problems can't solve with numeric method, because of no have boundary condition) accordingly in this symposium we are going to exposure an innovative approach which we have named it Akbari-Ganji's Method or AGM in engineering, that can solve sets of coupled nonlinear differential equations (ODE, PDE) with high accuracy and simple solution and so this issue will emerge after comparing the achieved solutions by Numerical method (Runge-Kutta 4th). Eventually, AGM method will be proved that could be created huge evolution for researchers, professors and students in whole over the world, because of AGM coding system, so by using this software we can analytically solve all complicated linear and nonlinear partial differential equations, with help of that there is no difficulty for solving all nonlinear differential equations. Advantages and ability of this method (AGM) as follow: (a) Non-linear Differential equations (ODE, PDE) are directly solvable by this method. (b) In this method (AGM), most of the time, without any dimensionless procedure, we can solve equation(s) by any boundary or initial condition number. (c) AGM method always is convergent in boundary or initial condition. (d) Parameters of exponential, Trigonometric and Logarithmic of the existent in the non-linear differential equation with AGM method no needs Taylor expand which are caused high solve precision. (e) AGM method is very flexible in the coding system, and can solve easily varieties of the non-linear differential equation at high acceptable accuracy. (f) One of the important advantages of this method is analytical solving with high accuracy such as partial differential equation in vibration in solids, waves in water and gas, with minimum initial and boundary condition capable to solve problem. (g) It is very important to present a general and simple approach for solving most problems of the differential equations with high non-linearity in engineering sciences especially at civil engineering, and compare output with numerical method (Runge-Kutta 4th) and Exact solutions.Keywords: new approach, AGM, sets of coupled nonlinear differential equation, exact solutions, numerical
Procedia PDF Downloads 4272324 Role of ICT and Wage Inequality in Organization
Authors: Shoji Katagiri
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This study deals with wage inequality in organization and shows the relationship between ICT and wage in organization. To do so, we incorporate ICT’s factors in organization into our model. ICT’s factors are efficiencies of Enterprise Resource Planning (ERP), Computer Assisted Design/Computer Assisted Manufacturing (CAD/CAM), and NETWORK. The improvement of ICT’s factors decrease the learning cost to solve problem pertaining to the hierarchy in organization. The improvement of NETWORK increases the wage inequality within workers and decreases within managers and entrepreneurs. The improvements of CAD/CAM and ERP increases the wage inequality within all agent, and partially increase it between the agents in hierarchy.Keywords: endogenous economic growth, ICT, inequality, capital accumulation
Procedia PDF Downloads 2352323 Stability and Boundedness Theorems of Solutions of Certain Systems of Differential Equations
Authors: Adetunji A. Adeyanju., Mathew O. Omeike, Johnson O. Adeniran, Biodun S. Badmus
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In this paper, we discuss certain conditions for uniform asymptotic stability and uniform ultimate boundedness of solutions to some systems of Aizermann-type of differential equations by means of second method of Lyapunov. In achieving our goal, some Lyapunov functions are constructed to serve as basic tools. The stability results in this paper, extend some stability results for some Aizermann-type of differential equations found in literature. Also, we prove some results on uniform boundedness and uniform ultimate boundedness of solutions of systems of equations study.Keywords: Aizermann, boundedness, first order, Lyapunov function, stability
Procedia PDF Downloads 602322 Residual Power Series Method for System of Volterra Integro-Differential Equations
Authors: Zuhier Altawallbeh
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This paper investigates the approximate analytical solutions of general form of Volterra integro-differential equations system by using the residual power series method (for short RPSM). The proposed method produces the solutions in terms of convergent series requires no linearization or small perturbation and reproduces the exact solution when the solution is polynomial. Some examples are given to demonstrate the simplicity and efficiency of the proposed method. Comparisons with the Laplace decomposition algorithm verify that the new method is very effective and convenient for solving system of pantograph equations.Keywords: integro-differential equation, pantograph equations, system of initial value problems, residual power series method
Procedia PDF Downloads 4022321 Numerical Solutions of an Option Pricing Rainfall Derivatives Model
Authors: Clarinda Vitorino Nhangumbe, Ercília Sousa
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Weather derivatives are financial products used to cover non catastrophic weather events with a weather index as the underlying asset. The rainfall weather derivative pricing model is modeled based in the assumption that the rainfall dynamics follows Ornstein-Uhlenbeck process, and the partial differential equation approach is used to derive the convection-diffusion two dimensional time dependent partial differential equation, where the spatial variables are the rainfall index and rainfall depth. To compute the approximation solutions of the partial differential equation, the appropriate boundary conditions are suggested, and an explicit numerical method is proposed in order to deal efficiently with the different choices of the coefficients involved in the equation. Being an explicit numerical method, it will be conditionally stable, then the stability region of the numerical method and the order of convergence are discussed. The model is tested for real precipitation data.Keywords: finite differences method, ornstein-uhlenbeck process, partial differential equations approach, rainfall derivatives
Procedia PDF Downloads 692320 An Adaptive Hybrid Surrogate-Assisted Particle Swarm Optimization Algorithm for Expensive Structural Optimization
Authors: Xiongxiong You, Zhanwen Niu
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Choosing an appropriate surrogate model plays an important role in surrogates-assisted evolutionary algorithms (SAEAs) since there are many types and different kernel functions in the surrogate model. In this paper, an adaptive selection of the best suitable surrogate model method is proposed to solve different kinds of expensive optimization problems. Firstly, according to the prediction residual error sum of square (PRESS) and different model selection strategies, the excellent individual surrogate models are integrated into multiple ensemble models in each generation. Then, based on the minimum root of mean square error (RMSE), the best suitable surrogate model is selected dynamically. Secondly, two methods with dynamic number of models and selection strategies are designed, which are used to show the influence of the number of individual models and selection strategy. Finally, some compared studies are made to deal with several commonly used benchmark problems, as well as a rotor system optimization problem. The results demonstrate the accuracy and robustness of the proposed method.Keywords: adaptive selection, expensive optimization, rotor system, surrogates assisted evolutionary algorithms
Procedia PDF Downloads 1222319 On the Derivation of Variable Step BBDF for Solving Second Order Stiff ODEs
Authors: S. A. M. Yatim, Z. B. Ibrahim, K. I. Othman, M. Suleiman
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The method of solving second order stiff ordinary differential equation (ODEs) that is based on backward differentiation formula (BDF) is considered in this paper. We derived the method by increasing the order of the existing method using an improved strategy in choosing the step size. Numerical results are presented to compare the efficiency of the proposed method to the MATLAB’s suite of ODEs solvers namely ode15s and ode23s. The method was found to be efficient to solve second order ordinary differential equation.Keywords: backward differentiation formulae, block backward differentiation formulae, stiff ordinary differential equation, variable step size
Procedia PDF Downloads 4722318 Solving Momentum and Energy Equation by Using Differential Transform Techniques
Authors: Mustafa Ekici
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Natural convection is a basic process which is important in a wide variety of practical applications. In essence, a heated fluid expands and rises from buoyancy due to decreased density. Numerous papers have been written on natural or mixed convection in vertical ducts heated on the side. These equations have been proved to be valuable tools for the modelling of many phenomena such as fluid dynamics. Finding solutions to such equations or system of equations are in general not an easy task. We propose a method, which is called differential transform method, of solving a non-linear equations and compare the results with some of the other techniques. Illustrative examples shows that the results are in good agreement.Keywords: differential transform method, momentum, energy equation, boundry value problem
Procedia PDF Downloads 4382317 Partial Differential Equation-Based Modeling of Brain Response to Stimuli
Authors: Razieh Khalafi
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The brain is the information processing centre of the human body. Stimuli in the form of information are transferred to the brain and then brain makes the decision on how to respond to them. In this research, we propose a new partial differential equation which analyses the EEG signals and make a relationship between the incoming stimuli and the brain response to them. In order to test the proposed model, a set of external stimuli applied to the model and the model’s outputs were checked versus the real EEG data. The results show that this model can model the EEG signal well. The proposed model is useful not only for modelling of EEG signal in case external stimuli but it can be used for modelling of brain response in case of internal stimuli.Keywords: brain, stimuli, partial differential equation, response, EEG signal
Procedia PDF Downloads 5302316 Stress Analysis of Spider Gear Using Structural Steel on ANSYS
Authors: Roman Kalvin, Anam Nadeem, Shahab Khushnood
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Differential is an integral part of four wheeled vehicle, and its main function is to transmit power from drive shaft to wheels. Differential assembly allows both rear wheels to turn at different speed along curved paths. It consists of four gears which are assembled together namely pinion, ring, spider and bevel gears. This research focused on the spider gear and its static structural analysis using ANSYS. The main aim was to evaluate the distribution of stresses on the teeth of the spider gear. This study also analyzed total deformation that may occur during its working along with bevel gear that is meshed with spider gear. Structural steel was chosen for spider gear in this research. Modeling and assembling were done on SolidWorks for both spider and bevel gear. They were assembled exactly same as in a differential assembly. This assembly was then imported to ANSYS. After observing results that maximum amount of stress and deformation was produced in the spider gear, it was concluded that structural steel material for spider gear possesses greater amount of strength to bear maximum stress.Keywords: ANSYS, differential, spider gear, structural steel
Procedia PDF Downloads 1652315 Nonhomogeneous Linear Fractional Differential Equations Will Bessel Functions of the First Kind Giving Hypergeometric Functions Solutions
Authors: Fernando Maass, Pablo Martin, Jorge Olivares
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Fractional derivatives have become very important in several areas of Engineering, however, the solutions of simple differential equations are not known. Here we are considering the simplest first order nonhomogeneous differential equations with Bessel regular functions of the first kind, in this way the solutions have been found which are hypergeometric solutions for any fractional derivative of order α, where α is rational number α=m/p, between zero and one. The way to find this result is by using Laplace transform and the Caputo definitions of fractional derivatives. This method is for values longer than one. However for α entire number the hypergeometric functions are Kumer type, no integer values of alpha, the hypergeometric function is more complicated is type ₂F₃(a,b,c, t2/2). The argument of the hypergeometric changes sign when we go from the regular Bessel functions to the modified Bessel functions of the first kind, however it integer seems that using precise values of α and considering no integers values of α, a solution can be obtained in terms of two hypergeometric functions. Further research is required for future papers in order to obtain the general solution for any rational value of α.Keywords: Caputo, fractional calculation, hypergeometric, linear differential equations
Procedia PDF Downloads 1752314 New Kinetic Effects in Spatial Distribution of Electron Flux and Excitation Rates in Glow Discharge Plasmas in Middle and High Pressures
Authors: Kirill D. Kapustin, Mikhail B. Krasilnikov, Anatoly A. Kudryavtsev
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Physical formation mechanisms of differential electron fluxes is high pressure positive column gas discharge are discussed. It is shown that the spatial differential fluxes of the electrons are directed both inward and outward depending on the energy relaxation law. In some cases the direction of energy differential flux at intermediate energies (5-10eV) in whole volume, except region near the wall, appeared to be down directed, so electron in this region dissipate more energy than gain from axial electric field. Paradoxical behaviour of electron flux in spatial-energy space is presented.Keywords: plasma kinetics, electron distribution function, excitation and radiation rates, local and nonlocal EDF
Procedia PDF Downloads 3772313 Study and Solving High Complex Non-Linear Differential Equations Applied in the Engineering Field by Analytical New Approach AGM
Authors: Mohammadreza Akbari, Sara Akbari, Davood Domiri Ganji, Pooya Solimani, Reza Khalili
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In this paper, three complicated nonlinear differential equations(PDE,ODE) in the field of engineering and non-vibration have been analyzed and solved completely by new method that we have named it Akbari-Ganji's Method (AGM) . As regards the previous published papers, 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. Based on the comparisons which have been made between the gained solutions by AGM and Numerical Method (Runge-Kutta 4th), it is possible to indicate that AGM can be successfully applied for various differential equations particularly for difficult ones. Furthermore, It is necessary to mention that a summary of the excellence of this method in comparison with the other approaches can be considered as follows: It is noteworthy that these results have been indicated that this approach is very effective and easy therefore it can be applied for other kinds of nonlinear equations, And also the reasons of selecting the mentioned method for solving differential equations in a wide variety of fields not only in vibrations but also in different fields of sciences such as fluid mechanics, solid mechanics, chemical engineering, etc. Therefore, a solution with high precision will be acquired. With regard to the afore-mentioned explanations, the process of solving nonlinear equation(s) will be very easy and convenient in comparison with the other methods. And also one of the important position that is explored in this paper is: Trigonometric and exponential terms in the differential equation (the method AGM) , is no need to use Taylor series Expansion to enhance the precision of the result.Keywords: new method (AGM), complex non-linear partial differential equations, damping ratio, energy lost per cycle
Procedia PDF Downloads 4412312 Chinese Vocabulary Acquisition and Mobile Assisted Language Learning
Authors: Yuqing Sun
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Chinese has been regarded as one of the most difficult languages in learning due to its complex spelling structure, difficult pronunciation, as well as its varying forms. Since vocabulary acquisition is the basic process to acquire a language, to express yourself, to compose a sentence, and to conduct a communication, so learning the vocabulary is of great importance. However, the vocabulary contains pronunciation, spelling, recognition and application which may seem as a huge work. This may pose a question for the language teachers (language teachers in China who teach Chinese to the foreign students): How to teach them in an effective way? Traditionally, teachers have no choice but teach it all by themselves, then with the development of technology, they can use computer as a tool to help them (Computer Assisted Language Learning or CALL). Now, they move into the Mobile Assisted Language Learning (MALL) method to guide their teaching, upon which the appraisal is convincing. It diversifies the learning material and the way of output, which can activate learners’ curiosity and accelerate their understanding. This paper will focus on actual case studies occurring in the universities in China of teaching the foreign students to learn Chinese, and the analysis of the utilization of WeChat channel as an example of MALL model to explore the active role of MALL to enhance the effectiveness of Chinese vocabulary acquisition.Keywords: Chinese, vocabulary acquisition, MALL, case
Procedia PDF Downloads 3852311 Caputo-Type Fuzzy Fractional Riccati Differential Equations with Fuzzy Initial Conditions
Authors: Trilok Mathur, Shivi Agarwal
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This paper deals with the solutions of fuzzy-fractional-order Riccati equations under Caputo-type fuzzy fractional derivatives. The Caputo-type fuzzy fractional derivatives are defined based on Hukuhura difference and strongly generalized fuzzy differentiability. The Laplace-Adomian-Pade method is used for solving fractional Riccati-type initial value differential equations of fractional order. Moreover, we also displayed some examples to illustrate our methods.Keywords: Caputo-type fuzzy fractional derivative, Fractional Riccati differential equations, Laplace-Adomian-Pade method, Mittag Leffler function
Procedia PDF Downloads 3672310 A Pilot Study Exploring Dog Owners’ Perceptions on Volunteering With Their Dogs in Animal-Assisted Therapy Program in Singapore
Authors: Julia Wong, Hua Beng Lim, Cheryl Ho, Gin Jen Gwee, Rachel Tay
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In Singapore, a few hospitals and non-governmental social service agencies have been utilising animal-assisted therapy (AAT) in their practice in recent years, although the animals used (e.g., dogs, cats, and horses) and program modality may differ due to the different practice settings, client profiles, and intervention goals. This pilot study explores dog owners’ perceptions of AAT with a focus on examining the enablers and barriers towards volunteering with their dogs in AAT programs in Singapore. A qualitative, thematic analysis study was conducted using in-depth, semi-structured interviews with 16 dog owners. 3 of the dog owners had previous experience volunteering with their dogs serving elderly patients in a community hospital, while the rest of the dog owners had no previous experience volunteering with their dogs. The former group was recruited with the help of the hospital, while the latter group was recruited via word-of-mouth. Dog owners who had volunteering experiences in AAT program versus those who had none differed in their perceptions towards AAT. Dog owners who had volunteered with their dogs in an AAT program in a hospital felt that their volunteering experience were meaningful to patients and to themselves, as they were intrinsically motivated by the desire to serve the community. Those who had not volunteered were hesitant to volunteer with their dogs as they were not comfortable with strangers touching their dogs. They also felt that it would be a huge commitment in terms of time and money; most of them do not own a car as it is uneconomical, and pets are not allowed on Singapore’s public transport systems. This study is limited by its small sample size, and its findings are not generalisable. However, given that volunteers are an invaluable resource in healthcare settings, future studies can examine more stakeholders’ perceptions towards AAT.Keywords: animal-assisted therapy, dog-assisted therapy, volunteers, complementary therapy
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