Academic Research Publishing Agency Press
International Journal of Research and Reviews in Applied Sciences
ISSN: 2076-734X, EISSN: 2076-7366

Volume 4,Issue 3(August, 2010) Special Issue No.1 on Recent Advances in Non-Linear Sciences

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1. ANALYSIS OF DIFFUSION PROBLEMS USING HOMOTOPY PERTURBATION AND VARIATIONAL ITERATION METHODS
by A. Barari, A. Tahmasebi Poor, A. Jorjani & H. Mirgolbabaei
Abstract

In this paper, variational iteration method and homotopy perturbation method are applied to different forms of diffusion equation. The diffusion equations have found wide applications in heat transfer problems, theory of consolidation and many other problems in engineering. The methods proposed to solve the diffusion equations herein have been applied to a variety of problems in the recent past, and have proved to yield highly accurate solutions. Comparison is made between the exact solutions and the results of the variational iteration method (VIM) and homotopy perturbation method (HPM) in order to verify the accuracy of the results, revealing the fact that these methods are very effective and simple.


2. NUMERICAL INVESTIGATION OF FIN EFFICIENCY AND TEMPERATURE DISTRIBUTION OF CONDUCTIVE, CONVECTIVE AND RADIATIVE STRAIGHT FINS

by D.D.Ganji, M.Rahgoshay, M.Rahimi & M.Jafari

Abstract

In this study, fin efficiency, temperature distribution and effectiveness of conductive, convective and radiative straight fins with temperature dependent thermal conductivity are solved using Galerkin Method (GM). The concept of galerkin method is briefly introduced, and then it is employed to derive solution of nonlinear governing equation of fin with a highly nonlinear term because of existing radiation in this study. The obtained results from GM are compared with numerical Boundary Value problem Method (BVP) to verify the accuracy of the proposed methods. The effects of some physical appropriate parameters in this problem such as thermo-geometric fin parameter and thermal parameters are analyzed.


3. ANALYTICAL SOLUTION FOR VIBRATION OF BUCKLED BEAMS
by A. Fereidoon , D.D. Ganji, H.D. Kaliji & M. Ghadimi
Abstract

In this study, the Homotopy Perturbation Method (HPM) is used to investigate nonlinear vibration behavior of a buckled beam subjected to an axial load. The motion equation has been solved due to vibration of a beam. Comparison between HPM results with time marching approach results demonstrates high accuracy of this method. This method can easily extend to solve other nonlinear vibration equations of the beams, plates and shells in the future.


4. TWO-DIMENSIONAL CUTTING STOCK MANAGEMENT IN FABRIC INDUSTRIES AND OPTIMIZING THE LARGE OBJECT'S LENGTH
by Hassan Javanshir, Shaghayegh Rezaei, Saeid Sheikhzadeh Najar & S. S. Ganji
Abstract

Selection of cutting patterns in order to minimize production waste is an important issue in operations research, which has attracted many researchers. Solving this problem is very important in the industries that have priorities in minimizing the waste in the Pages section. In this paper, the two-dimensional cutting stock problem has been studied to reduce the cutting waste, with focus on men’s clothing (male pants size 42). In this method, regular and irregular shapes are enclosed by rectangles the goal is to minimize waste in total fabric. As solving these problems optimally are infeasible with current optimization algorithms because of the large solution space, the metaheuristic algorithm of simulated annealing (SA) was used. One of the main objectives of this research is to calculate the optimum length of fabric rolls, such that when several of such rolls are put together, the amount of cutting waste is minimized. To achieve this goal, we initially consider an unlimited length for each roll, and then obtain the optimum length of each roll. This research shows that the amount of required stock can be reduced in fabric cutting by using the SA algorithm. Moreover, if the length of pieces is not fixed, incontrollable stock can be changed into controllable ones; e.g., stock could be concentrated in a form which is usable in future consumption.


5. ON A NONLINEAR THIRD-ORDER EVOLUTION EQUATION - PRESENT DEVELOPMENTS
by Alfred Huber
Abstract

In this paper the classical Lie group formalism is applied to deduce new classes of solutions of a less studied nonlinear partial differential equation (nPDE) of the third-order. The nPDE under consideration is closely related to motions of plane curves.

Up to now no carefully performed symmetry analysis is available. Therefore we determine the classical Lie point symmetries including algebraic properties. Similarity solutions are given as well as nonlinear transformations could derived and periodic wave trains are obtained.

Since algebraic solution techniques fail symmetry analysis justifies the application yielding a deeper insight into the solution-manifold.

In addition, we shall see that the nPDE admits a new symmetry, the so called potential symmetry.

For some nonlinear ordinary differential equations (nODEs) created by similarity reductions the Painlevé property is discussed.


6. TORSIONAL IRREGULARITY EFFECTS OF LOCAL SITE CLASSES IN MULTIPLE STOREY STRUCTURES
by Ali Demir, Duygu Dönmez Demir, Recep Tuğrul Erdem & Muhiddin Bağcı
Abstract In this paper, torsional irregularity factors which effect multi storey shear wall-frame systems were investigated according to Turkish Earthquake Code (TEC) 2007. Six type structures which have different story numbers, plan views and shear wall locations were analyzed. These structures are studied according to local site classes in TEC 2007. Thus, importance levels were determined. SAP 2000 package program were used for structural analyses. Equivalent Seismic Load Method and Mode Superposition Method were used for seismic analyses. Torsional irregularity coefficients are comparatively investigated and efficient factors are determined for torsional irregularities maximum values

7. NUMERICAL EVALUATION OF BEARING CAPACITY AND SETTLEMENT OF RING FOOTING; CASE STUDY OF KAZEROON COOLING TOWERS
by A. J. Choobbasti, S.hesami, A. Najafi, S. Pirzadeh , F. Farrokhzad & A. Zahmatkesh
Abstract

Nowadays, more and more ring footings are used in practice special for axi-symmetric structures. In this paper, a numerical analysis was performed using PLAXIS software for calculating bearing capacity and settlement of ring footing. The parameters used in this analysis are the results of geotechnical studies of Kazeroon cooling tower. The analysis was carried out using Mohr-Coulomb’s criterion for soil. The Bearing capacity was calculated for smooth and rough ring footing and then the bearing capacity factors were calculated. The analysis indicated that the bearing capacity of rough ring footing is obviously higher than the bearing capacity of smooth footing. Finally, the results were compared with those available in the literature.


8. THE INFLUENCES OF THE DIFFERENT PGA’S AND HEIGTHS OF STRUCTURES ON STEEL BRACED FRAME SYSTEMS EQUIPPED WITH ADAS DAMPERS
by G.R.Abdollahzade & M. Bayat
Abstract

The behavior of braced steel frame structures is of special importance due to its extensive use. Also the applications of active and semi-active control systems have increased significantly due to their benefits in obtaining better seismic performance.The main purpose of this paper is to determine the behavior of structures equipped with yielding dampers (ADAS), located in far fields based on energy concepts. In order to optimize their seismic behavior, the codes and solutions are also presented. Three cases with five, ten and fiftheen –story four-bay Concentric Braced Frames (CBF) with and without ADAS were selected. The nonlinear analysis is performed using the "Perform 3D V.4" software and the conclusions are drawn upon energy criterion.Finally, to increase the energy damping ability and reduce the destructive effects in structures on an earthquake event, so that a great amount of induced energy is damped and destruction of the structure is prevented as much as possible by using ADAS dampers.


9. THE COMPARISON OF HAMILTON METHOD WITH RAYLEIGH’S AND RAYLEIGH-RITZ METHODS FOR THE NATURAL FREQUENCIES OF THREE-SUPPORTED BEAM
by H. Özköse & S. M. Bağdatli
Abstract

In this study, three supported beam was studied. Longitudinal and transverse vibrations were investigated. Natural frequencies were calculated using Hamilton, Rayleigh’s and Rayleigh-Ritz Methods. For calculations, functions providing all boundary conditions of the problem were suggested. As a result natural frequencies of the system without using the equations of motion were calculated. Obtained results were compared with the real values.


10. NUMERICAL ANALYSIS OF GEOSYNTHETIC REINFORCED SOIL ABOVE A TUNNEL
by S.E. Ghoreishi Tayyebi, M.R. Babatabar & A. Tahmasebi poor
Abstract

In this paper numerical experiments are conducted to investigate the effect of geosynthetic reinforced soil above a tunnel on stability of system. A series two dimensional finite element analyses under plane strain condition was performed to study stability of soil-geosynthetic-tunnel system. The effectiveness of geosynthetic reinforced soil above a tunnel is affected by many factors such as depth of single layer, tensile stiffness and number of reinforcement layers.

In this paper, a systematic parametric study was conducted to study effect of these parameters on improving the stability of tunnel headings and reducing ground movements in sand.

Based on the results of the study, the use of this system reduces the settlements at the tunnel heading and ground surface. It can be concluded that when a single layer of reinforcement is used, there is an optimum depth at which settlements are maximum. Settlements reduce with increase in axial rigidity (E.A) of reinforcement and stability of the tunnel face is improved too. Also settlements reduce with increase in number of reinforcement layers but there is an optimum value for number of reinforcement which increases more than this certain value has not significant effect on reduction of settlements.


11. THE SOLUTION OF THE FRACTIONAL DIFFERENTIAL EQUATION WITH THE GENERALIZED TAYLOR COLLOCATIN METHOD
by Salih Yalçınbaş, Ali Konuralp, D. Dönmez Demir & H. Hilmi Sorkun
Abstract

In this paper, we propose the generalized Taylor collocation method for solving the variable coefficients fractional differential equation under the given initial or boundary conditions and give matrix representations of the problem. Additionally, analytical form solution of the problem is calculated by using this technique.


12. NON-LINEAR GLOBAL SIZING OF HIGH SPEED PM SYNCHRONOUS GENERATOR FOR RENEWABLE ENERGY APPLICATIONS
by Adel El Shahat, Ali Keyhani & Hamed El Shewy
Abstract

This paper presents a step by step sizing procedure of High Speed Permanent Magnet Synchronous Generators (HSPMSGs) for renewable energy applications to be driven by micro-turbines. The final design offers significant reductions in both weight and volume in a power range of 5:500 kW. A rotor length to diameter ratio is used as an important design parameter.  The results are depicted by 3D plot figures for a number of machines sizing. The simulation of generators sizing is performed using MATLAB. Then, the paper proposes genetic optimized sizing of High Speed Permanent Magnet Synchronous Generators. These designs have more significant improvement in weights and volumes than usual or classical. Efficiency Maximizer Genetic Sizing is proposed. Finally, Optimum Torque per Ampere Genetic Sizing is predicted. The optimization variables are the same in every optimization process. The genetic results are well depicted by some variables 3D figures for initial and detailed sizing. The simulation of generators sizing is performed using MATLAB, and Genetic Algorithm.


13. PERMANENT MAGNET SYNCHRONOUS MOTOR DRIVE SYSTEM FOR MECHATRONICS APPLICATIONS
by Adel El Shahat & Hamed El Shewy
Abstract

In this paper, a field oriented controlled PM motor drive system is described and analyzed due to its importance in many applications especially in mechatronics applications. Permanent Magnet Synchronous Motors (PMSM) are widely applied in industrial and robotic applications due to their high efficiency, low inertia and high torque – to – volume ratio. A closed loop control system with a PI controller in the speed loop has been designed to operate in constant torque angle and flux weakening regions. A comparative study of hysteresis and PWM control schemes associated with current controllers has been made. Then, the simulation of a field oriented controlled PM motor drive system is developed using Simulink. The simulation circuits for PM synchronous motor, inverter, speed and current controllers include all realistic components of the drive system. Simulation results for both hysteresis and PWM control schemes associated with current controllers are given for two speeds of operation, one below rated and another above rated speed.


14. A PSO APPROACH FOR SOLVING VRPTW WITH REAL CASE STUDY
by Shahrzad Amini, Hassan Javanshir & Reza Tavakkoli-Moghaddam
Abstract

During the past few years, there have been tremendous efforts on improving the cost of logistics using varieties of models for vehicle routing problems. In fact, the recent rise on fuel prices has motivated many to reduce the cost of transportation associated with their business through an improved implementation of VRP systems. In this paper, we study the VRP with time windows. We propose a particle swarm optimization algorithm to solve the given VRPTW. A computational experiment is carried out by running the proposed PSO with the VRPTW benchmark data set of Solomon. The associated results show that this algorithm is able to provide good solutions that are very close to its optimal solutions for problems with 25 customers within reasonably computational time. Furthermore, our proposed PSO is used for a real-world case study of a Chlorine Capsule distribution company to the water reservoir in Tehran. The related results indicate that the algorithm can reduce the cost and time significantly.














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