Finite Element Analysis and Drawing of Magnetic Flux Path with the Developed Program

[Mehmet ÇINAR] Volume 6: Issue 4, Dec 2019, pp  127 - 131

DOI: 10.26706/IJAEFEA.2.6.20191101

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Abstract One of the methods used in the solution of partial differential equations is the finite element method. The solution region of the differential equation to be solved in finite element method is divided into sub-sections. When making finite element analysis, magnetic flux path drawing is made by making use of vector potential values of the nodes in the solution of the magnetic region. Thus, the finite element analysis gives information about the magnetic structure of the region. However, it is useful to use the moving finite element method instead of the classical finite element method when time dependent partial differential equations change and the solution network changes regionally.
In this article, drawing of magnetic flux path used in finite element analysis is mentioned. Application of a C ++ based software has been realized and the sample magnetic flux path drawings have been obtained.

Index terms - Mesh Generation Methods, Finite Element Method, Moving mesh generation.
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REFERENCES
[1] Mehmet Aydın, Beno Kuryel, Gönül Gündüz, Galip Oturanç, 2001,” Diferansiyel Denklemler ve Uygulamaları”,İzmir.
[2] R. Rannacher, 2001, ”Adaptive Galerkin Finite Element  Methods for Partial Differential Equations”, Journal of Computational and Applied Mathematics, 128, 205-233.
[3] S.H. Lo., 2002, “Finite element mesh generation and adaptive meshing“, Prog. Struct. Analysis Materials, Vol:4, pp:381-399.
[4] Baker TJ. 1989, “Automatic mesh generation for complex three-dimensional regions using a constrained Delaunay triangulation”, Engineering with Computers 5: 161–175.
[5] Lee CK., 2000, “Automatic metric advancing front triangulation over curved surfaces”,  Engineering Computations 17(1): 48–74.
[6] Shephard MS & Georges MK. 1991, “Automatic three-dimensional mesh generation by the finite octree technique”, International Journal for Numerical Methods in Engineering 32: 709–749.

[7] Luiz Vello, Denis Zorin  2001, “4-8 Subdivision”, Computer Aided Geometric Design, vol:18, pp:397-427.
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Mesh Generation Methods and Moving Mesh Generation Using Developed Program

[Mehmet ÇINAR] Volume 6: Issue 3, Sept 2019, pp  121 - 126

DOI: 10.26706/IJAEFEA.2.6.20190803

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Abstract One of the most commonly used methods in numerical solution of partial differential equations is the finite element method. In the finite element method, the region to be analyzed is divided into sub-sections called solution regions provided that the boundaries of the region are determined. This subdivision method depends on the type of differential equation to be solved. A variety of solution network production techniques are used to subdivide the solution region. By selecting the appropriate method, the solution region is divided into sub-compartments to ensure that the solution is faster and more accurate. The classical finite element method gives accurate results when instant analysis is performed on the solution area. However, in cases where partial differential equations change with time and solution network changes regionally, it is useful to use moving finite element method instead of classical finite element method. The use of a moving finite element method allows analysis to be carried out only in varying regions of the solution network to ensure rapid results. In this study, two dimensional solution network production techniques are mentioned. With the help of the developed program, regional changes on the solution network are explained in detail. As an application, C ++ based software was implemented.

Index terms - Mesh Generation Methods , Finite Element Method, Moving mesh generation.
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REFERENCES
[1] Mehmet Aydın, Beno Kuryel, Gönül Gündüz, Galip Oturanç, 2001,” Diferansiyel Denklemler ve Uygulamaları”,İzmir.
[2] R. Rannacher, 2001, ”Adaptive Galerkin Finite Element  Methods for Partial Differential Equations”, Journal of Computational and Applied Mathematics, 128, 205-233.
[3] Susan Brenner 2002, “ The Mathematical Theory of Finite Element Method”, Springer Verlag Press Berlin.
[4] Thomas R. Hughes , 2000, “The Finite Element Method  Linear Static and Dynamic Finite Element Method”, Dover Publications, New York
[5] S.H. Lo., 2002, “Finite element mesh generation and adaptive meshing“, Prog. Struct. Analysis Materials, Vol:4, pp:381-399.
[6] Delaunay “B. Sur la sphere vide. Bulletin”, Acade´mie des Sciences URSS. 1934: 793–800
[7] Lawson CL. 1977, “Software for C1 surface interpolation”, Mathematical Software III 161–194.
[8] Baker TJ. 1989, “Automatic mesh generation for complex three-dimensional regions using a constrained Delaunay triangulation”, Engineering with Computers 5: 161–175.
[9] Zhu JZ, Zienkiewicz OC, Hinton E & Wu J., 1991, “A New Approach to The Development of Automatic Quadrilateral Mesh Generation”, International Journal for Numerical Methods in Engineering 32: 849–866.
[10] Lee CK., 2000, “Automatic metric advancing front triangulation over curved surfaces”,       Engineering Computations 17(1): 48–74.
[11] Lo SH., 1991, Automatic mesh generation and adaptation by using contours. International Journal for Numerical Methods in Engineering 31: 689–707.
[12] Shephard MS & Georges MK. 1991, “Automatic three-dimensional mesh generation by the finite octree technique”, International Journal for Numerical Methods in Engineering 32: 709–749.
[13] Luiz Vello, Denis Zorin  2001, “4-8 Subdivision”, Computer Aided Geometric Design, vol:18, pp:397-427
[14] Zienkiewicz OC & Phillips DV., 1971, “An automatic mesh generation scheme for plane and curved surfaces isoparametric coordinates”, International Journal for Numerical Methods in Engineering 3: 519–528.
[15] Zhu JZ, Zienkiewicz OC, Hinton E & Wu J., 1991, “A new approach to the development of automatic quadrilateral mesh generation”, International Journal for Numerical Methods in Engineering, 32: 849–866.
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Design and Analysis of a Vertical Pressure Vessel with Effect of Rotational Velocity on the Stresses and Deformation by using ANSYS

[Abdulfatai, A. Faro, Kazeem, K, Salam, Edith, E. Alagbe] Volume 6: Issue 3, Sept 2019, pp  110 - 120

DOI: 10.26706/IJAEFEA.2.6.20190702

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Abstract In this study, the suitability and influence of Rotational Velocity (RV) on the operating conditions of a vertical Pressure Vessel (PV) was investigated. A vertical PV was designed and analyzed with the aid of ANSYS. Effect of eight different parameters on the performance of the designed PV was analyzed. The results obtained from designed PV using Finite Element Analysis (FEA) was validated by comparing it with that obtained from Manually Computed Method (MCM) and Utilization Factor (UF) method. The results of this investigation show that the designed PV was safe within the specified operating condition, the FEA results are more accurate than that of MCM and presence of RV affected the stress distribution and deformation of the PV.
Index terms - Vertical pressure vessel, ANSYS.
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REFERENCES
[1]   K. S. Naser, Mohammed Q, and Gupta, “Structural & Thermal Analysis of Pressure Vessel by using Ansys,” Int. J. Sci. Eng. Technol. Res., vol. 2, no. 8, pp. 740–744, 2013.
[2]   I. Satyanarayana and K. Praveena, “Design And Analysis of the Pressure Vessel by using FEM,” Int. J. Innov. Sci. Eng. Technol., vol. 3, no. 10, pp. 145–150, 2016.
[3]   P. Sadanandam, U. Ramesh, and S. Tamerat, “Design and Analysis of Pressure Vessel Using Finite Element Method,” Int. J. Latest Technol. Eng. Manag. Appl. Sci., vol. 6, no. 5, pp. 1–3, 2017.
[4]   V. V Wadkar, S. S. Malgave, D. D. Patil, H. S. Bhore, and P. P. Gavade, “Design and Analysis of Pressure Vessel Using ANSYS,” J. Mech. Eng. Technol., vol. 3, no. 2, pp. 1–13, 2015.
[5]   V. Khobragade, Rashmi and Hiwase, “Design , And Analysis of Pressure Vessel with Hemispherical and Flat Circular End,” Int. J. Eng. Sci. Comput., vol. 7, no. 5, pp. 12458–12469, 2017.
[6]   A. Ibrahim, Y. Ryu, and M. Saidpour, “Stress Analysis of Thin-Walled Pressure Vessels,” Mod. Mech. Eng., vol. 5, pp. 1–9, 2015.
[7]   J. Z. Li, “Computer Aided Modeling and Simulation of Structural Pressure Vessel Material Computer Aided Modeling and Simulation of Structural Pressure Vessel Material Performance,” in 2012 International Conference on Structures and Building Materials, 2012, pp. 1–10.
[8]   O. T. Askestrand, Frode T and Gudmestad, “A Comparison Study of Pressure Vessel Design using Different Standards,” in 32nd International Conference on Ocean, Offshore and Arctic Engineering (OMAE2013), June 9-14, Nantes, France, 2013, no. June, pp. 1–15.
[9]   ASME, “An International Code-2010 ASME Boiler and Pressure Vessel Code Section VIII,” 2010.

[10] F. Vakili-tahami, S. S. Sharifi, P. Majnoun, and A. Abbasi, “Calculating the Creep Life of Rotating Cylindrical Pressure Vessels by Reference Stress Method ( RSM ),” pp. 1–18, 2015.
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