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Zahedi, S. A.
- An Investigation on Two-Dimensional Non-Linear Wave Equation Using VIM
Abstract Views :483 |
PDF Views:106
Authors
Affiliations
1 Islamic Azad University-Behshahr Branch. Behshahr, IR
1 Islamic Azad University-Behshahr Branch. Behshahr, IR
Source
Indian Journal of Science and Technology, Vol 3, No 9 (2010), Pagination: 1006-1008Abstract
In this article, a kind of analytical method called He's variational iteration method (VIM) have been used to obtain the analytical solution of two-dimensional nonlinear wave equation. In this method, general Lagrange multiplier is introduced to construct correction functions for the problems. The multiplier can identify optimally via the variational theory. The results compare with those of exact solutions and homotopy perturbation method. A clear conclusion can be drawn from the numerical results and the proposed method provides excellent approximations to the solution of this kind of nonlinear wave phenomenon in terms of simplicity and accuracy. Thus, it can be easily extended to other nonlinear wave phenomena finding wide application.Keywords
Variational Iteration Method, Wave EquationFull Text
References
- Abbasbandy S (2006) The application of homotopy analysis method to nonlinear equations arising in heat transfer. Phy. Let. A. 360, 109–113.
- Abdul-Majid Wazwaz (2007) A comparison between the variational iteration method and Adomian decomposition method. J. of Comp. & App. Math. 207, 129–136.
- Adomian G (1994) Solving frontier problems of physics: the decomposition method. Kluwer Academic, Boston.
- Ganji DD, Jannatabadi M and Mohseni E (2006) Application of He’s variational iteration method to nonlinear Jaulent–Miodek equations and comparing it with ADM. J. Comp. Appl. Math., 207, 35-45.
- Ghasemi M, Tavassoli Kajani M and Davari A (2007) Numerical solution of two-dimensional nonlinear differential equation by homotopy perturbation method. Appl. Math. and Comp. 189, 341–345.
- He JH (2000) Variational iteration method for autonomous ordinary differential systems. Appl. Math. and Comp. 114, 115-123.
- Khatami I, Tolou N, Mahmoudi J and Rezvani M (2008) Application of homotopy analysis method and variational iteration method for shock wave equation. J. of App. Sci. 8, 848-853.
- Mahmoudi J, Tolou N, Khatami I and Ganji DD (2008) Explicit solution of nonlinear ZK-BBM wave equation using exp-function method. J. of App. Sci. 8,358-263.
- Sadighi A and Ganji DD (2007) Exact solutions of nonlinear diffusion equations by variational iteration method. Comp. and Math. with App. 54. 1112-1121.
- Tolou N, Khatami I, Jafari B and Ganji DD (2008) Analytical solution of nonlinear vibrating systems. Ame. J. of Appl. Sci. 5, 1219-1224.
- Investigation of Conventional Deep Drawing and Hydroforming Deep Drawing via Experimental and Finite Element Simulation
Abstract Views :458 |
PDF Views:132
Authors
Affiliations
1 Young Researchers club, Islamic Azad University-Jouybar branch, IR
2 Islamic Azad University-Behshahr Branch, Behshahr, IR
3 Babol Noshirvani University of Technology, Babol, IR
1 Young Researchers club, Islamic Azad University-Jouybar branch, IR
2 Islamic Azad University-Behshahr Branch, Behshahr, IR
3 Babol Noshirvani University of Technology, Babol, IR
Source
Indian Journal of Science and Technology, Vol 3, No 9 (2010), Pagination: 1009-1013Abstract
Deep drawing and hydroforming deep drawing (HDD) are the two conventional methods for production of cylindrical cups. In this paper, two cylindrical workpieces have been produced with separated dies and the deformation force and sheet thickness distributions have been compared. For increasing drawing ratio in the hydroforming deep drawing, pressure chamber must be calculated and exerted properly. Limited tearing pressure curve have been obtained with finite element simulation. By considering of this approach and conducting a series of hydroforming experiments, proper pressure will be selected. Finally, workpiece was drawn with 2.3 drawing ratio by using proper pressure path. Results have shown that although hydroforming deep drawing needs more forces, more drawing ratio can be achieved as a result.Keywords
Conventional Deep Drawing, Hydroforming Deep Drawing (HDD), Finite Element SimulationFull Text
References
- Hama T, Hatakeyama T, Asakawa M, Amino H, Makinouchi A, Fujimoto H and Takuda H (2007) Finite-element simulation of the elliptical cup deep drawing process by sheet hydroforming. F. E in Ana. & Des. 43, 234–246.
- Kandil A (2003) An experimental study of hydroforming deep drawing. J. Mat. Proc. Tech. 134, 70-80.
- Khandeparkar T and Liewald M (2008) Hydromechanical deep drawing of cups with stepped geometries. J. Mat. Proc. Tech. 202, 246–254.
- Lang L, Danckert J, Nielsen K and Zhou X (2005) Investigation into the forming of a complex cup locally constrained by a round die based on an innovative hydromechanical deep drawing method. J. Mat. Proc. Tech. 167, 191–200.
- Oh. Soo-Ik, Byung-Hee Jeon, Hyun-Yong Kim and Jae-Bong Yang (2006) Applications of hydroforming processes to automobile parts. J. Mat. Proc. Tech. 174, 42–55.
- Parsa MH and Darbandi P (2008) Experimental and numerical analyses of sheet hydroforming process for production of an automobile body part . J. Mat. Proc. Tech. 198, 381-390.
- Thiruvarudchelvan S and Tan MJ (2006) A note on fluid-pressure-assisted deep drawing processes. J. Mat. Proc. Tech. 172, 174–181.
- Wu J, Balendra R and Qin Y (2004) A study on the forming limits of the hydromechanical deep drawing of components with stepped geometries. J. Mat. Proc. Tech. 145, 242–246.
- Yoshihara Shoichiro, Ken-ichi Manabe and Hisashi Nishimura (2005) Effect of blank holder force control in deep-drawing process of magnesium alloy sheet. J. Mat. Proc. Tech. 170, 579–585.
- Yossifon S and Tirosh J (1985) Rupture instability in hydroforming deep-drawing process. Int. J. Mech. Sci. 27, 559-570.
- Zahedi SA, Shamsi Sarband A, Gorji A, Hosseinipour SJ and Bakhshi- jouybari M (2009) Theoretical study and finite element simulation of tearing in hydroforming process. Int. J. Appl. Sci. 9, 178-182.