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Research ArticleOpen accessEvery word in the titleCalibration Coefficients for Residual Stress Measurement in Composite Materials Using Finite Element MethodA. G. Ghasemi, M. AkbarzadehProblem statement: Since the residual stresses can cause a scienificant reduction in strength of the mechanical components, having a semi-destructive measuring method that would predict and model theses stresses would be an advantage. The hole drilling method has been used, by many researches, for measurement of the residual stresses in different materials. In this article, the finite element method is … …American Journal of Engineering and Applied Sciences, Vol. 5, Issue 1 · 18 Feb 2012 · 9,022 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleReal Option Method and Escalation of Commitment in the Evaluation of Investment ProjectsMehrdad Karami, Farshid Ahmadi FarsaniProblem statement: This study applies an experimental method to find out whether using the real option method along with the discounted cash flow techniques can reduce the decision-makers’ Escalation of Commitment (EC hereafter) or their desire to keep up their commitment to a failed project. Approach: The real option method used for the evaluation of long-term projects also measures the … …American Journal of Economics and Business Administration, Vol. 3, Issue 3 · 19 Sep 2011 · 7,394 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleEvaluating some Reliability Analysis Methodologies in Seismic DesignA. El Ghoulbzouri, A. Khamlichi, F. Lopez Almansa et al.Problem statement: Accounting for uncertainties that were present in geometric and material data of reinforced concrete buildings was performed in this study within the context of performance based seismic engineering design. Approach: Reliability of the expected performance state is assessed by using various methodologies based on finite element nonlinear static pushover analysis and specialized reliability software package. Reliability approaches that … …American Journal of Engineering and Applied Sciences, Vol. 4, Issue 3 · 18 Aug 2011 · 7,847 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleSolving Directly Two Point Non Linear Boundary Value Problems Using Direct Adams Moulton MethodZanariah Abdul Majid, Phang Pei See, Mohamed SuleimanProblem statement: In this study, a direct method of Adams Moulton type was developed for solving non linear two point Boundary Value Problems (BVPs) directly. Most of the existence researches involving BVPs will reduced the problem to a system of first order Ordinary Differential Equations (ODEs). This approach is very well established but it obviously will enlarge the systems of … …Journal of Mathematics and Statistics, Vol. 7, Issue 2 · 18 May 2011 · 7,887 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleVariational Homotopy Perturbation Method for the Zakharove-Kuznetsov EquationsMashaallah Matinfar, Maryam GhasemiProblem statement: In this research, the Variational Homotopy Perturbation Method (VHPM) which is a combination of Variational Iteration Method (VIM) and Homotopy Perturbation Method (HPM) used for the Zakharove-Kuznetsov equations (ZK-equations). Approach: These two methods are proposed by chinese researcher J.H.He. M.A.Noor improved these two methods and established the VHPM. The numerical solution of ZK-equation is of great importance dut … …Journal of Mathematics and Statistics, Vol. 6, Issue 4 · 24 Dec 2010 · 7,261 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleA New Newton's Method with Diagonal Jacobian Approximation for Systems of Nonlinear EquationsM. Y. Waziri, W. J. Leong, M. A. Hassan, M. MonsiProblem statement: The major weaknesses of Newton method for nonlinear equations entail computation of Jacobian matrix and solving systems of n linear equations in each of the iterations. Approach: In some extent function derivatives are quit costly and Jacobian is computationally expensive which requires evaluation (storage) of n×n matrix in every iteration. Results: This storage requirement became unrealistic when n … …Journal of Mathematics and Statistics, Vol. 6, Issue 3 · 30 Sep 2010 · 8,541 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleA Self-Tuning Proportional-Integral-Derivative Controller for an Autonomous Underwater Vehicle, Based On Taguchi MethodM. Santhakumar, T. AsokanProblem statement: Conventional Proportional-Integral-Derivative (PID) controllers exhibit moderately good performance once the PID gains are properly tuned. However, when the dynamic characteristics of the system are time dependent or the operating conditions of the system vary, it is necessary to retune the gains to obtain desired performance. This situation has renewed the interest of researchers and practitioners in PID control. … …Journal of Computer Science, Vol. 6, Issue 8 · 31 Aug 2010 · 7,859 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleA Tabu Search Method for Finding Minimal Multi-Homogeneous Bézout NumberHassan M.S. Bawazir, Ali Abd RahmanProblem statement: A homotopy method has proven to be reliable for computing all of the isolated solutions of a multivariate polynomial system. The multi-homogeneous Bézout number of a polynomial system is the number of paths that one has to trace in order to compute all of its isolated solutions. Each partition of the variables corresponds to a multi-homogeneous Bézout number. … …Journal of Mathematics and Statistics, Vol. 6, Issue 2 · 30 Jun 2010 · 7,297 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleA New Block Method for Special Third Order Ordinary Differential EquationsB. T. Olabode, Y. YusuphA linear multistep method for the direct solution of initial value problems of ordinary differential equations was presented in this article. Collocation approximation method was adopted in the derivation of the scheme and then the scheme was applied as simultaneous integrator to special third order initial value problem of ordinary differential equations. The new block method possessed the desirable feature … …Journal of Mathematics and Statistics, Vol. 5, Issue 3 · 30 Sep 2009 · 7,711 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleA Study on the Increase of Numerical Stability and Accuracy of the Transfer Matrix MethodIoannis S. Zotos, Theodore N. CostopoulosProblem Statement: The transfer matrix method is a very useful tool for the static and dynamic analysis of structures. There are a number of issues though that worsens the numerical stability and the accuracy of this method. Approach: This study proposed a simple technique that can be used to handle these numerical difficulties and overcome the problems they give. Its … …Journal of Mathematics and Statistics, Vol. 4, Issue 4 · 31 Dec 2008 · 7,034 accessesView PDFCite