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263 articles for “Nonlinear”
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Research ArticleOpen accessEvery word in the titleApproximation of Experimental Curve of Nonlinear Deformation of DuraluminMoh’d Ishaq Abu HalawaProblem statement: The experimental curves for physically nonlinear deformation of aluminum alloy D-16Т have been approximated in a temperature field. Approach: An analytical approximation variant of plasticity and physical nonlinearity functions was presented and a numerical processing technique of experimental data was described. Results: The corresponding analytical formulas of plasticity functions and nonlinear creep were proposed with mathematically substantiated parameters. … …Journal of Computer Science, Vol. 6, Issue 7 · 31 Jul 2010 · 6,736 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleThe Influence of pH on Nonlinear Refractive Index of Bromophenol BlueF.Z. Henari, K.G. CulliganProblem statement: Bromophenol blue is a pH indicator, a kind of chemical that changes colour when pH goes up or down over a narrow linear dynamic range of 3.0-4.6 pH units. Therefore a good approach must be taken to extend the linear response of the indicator in order to have simple calibration and precise measurements of PH sensors. The purpose … …Physics International, Vol. 1, Issue 1 · 31 Mar 2010 · 15,948 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleSingle Beam Z-Scan Measurements of Nonlinear Refraction and Nonlinear Absorption Coefficients in Silver Nano-FluidEsmaeil Shahriari, W. Mahmood Mat YunusProblem statement: The nonlinear refractive index and nonlinear absorption are two important optical phenomena which are extensively used in optical switching, optical limiting and labeling. Approach: In the present research we had measured nonlinearity of Ag nano-fluid prepared using γ-irradiation method. The measurement was carried out using a single beam z-scan technique. Under a CW laser beam excitation operated at … …American Journal of Engineering and Applied Sciences, Vol. 3, Issue 1 · 31 Mar 2010 · 9,635 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleOn Calculating the Hougaard Measure of Skewness in a Nonlinear Regression Model with Two ParametersS. A. EL-ShehawyProblem statement: This study presented an alternative computational algorithm for determining the values of the Hougaard measure of skewness as a nonlinearity measure in a Nonlinear Regression model (NLR-model) with two parameters. Approach: These values indicated a degree of a nonlinear behavior in the estimator of the parameter in a NLR-model. Results: We applied the suggested algorithm on an example … …Journal of Mathematics and Statistics, Vol. 5, Issue 4 · 31 Dec 2009 · 7,159 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleAnalysis of a Beam Made of Physical Nonlinear Material on Nonlinear Elastic Foundation under a Moving Concentrated LoadE. MardaniA prismatic beam made of a behaviorally nonlinear material was analyzed under a concentrated load moving with a known velocity on a nonlinear elastic foundation with a reaction [ qe = -K1W(1+ K2W2)]. the vibration equation of motion was derived using Hamilton principle and Euler Lagrange equation. The amplitude of vibration, circular frequency, bending moment, stress and deflection of the … …American Journal of Engineering and Applied Sciences, Vol. 1, Issue 4 · 31 Dec 2008 · 6,869 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleAnalytical Solution of Nonlinear Vibrating SystemsN. Tolou, I. Khatam, B. Jafari, D. D. GanjiThe responses of nonlinear vibrating systems are investigated analytically using Homotopy Perturbation Method (HPM). To demonstrate the validity of the proposed method, the results obtained by HPM have been depicted graphically and have been compared with those of the exact solution. A clear conclusion can draw from the numerical results that the method provides highly accurate solutions to the discussed … …American Journal of Applied Sciences, Vol. 5, Issue 9 · 30 Sep 2008 · 7,149 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleSkeleton Primitive Extraction Method on Textures with Different Nonlinear WaveletsV. V. Kumar, U. S.N. Raju, P. Premchand, A. SureshProblem Statement: A novel method for dominant skeleton extraction of textures using different nonlinear wavelet transforms is proposed in this study. In the present study 3×3 masks are used for extraction of skeleton primitives. For a 3×3 skeleton primitive there will be 29 skeleton primitive combinations. But the present study considered a skeleton primitive for the skeletonization purpose if and … …Journal of Computer Science, Vol. 4, Issue 7 · 31 Jul 2008 · 6,808 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleA Boundedness Theorem for a Certain Third Order Nonlinear Differential EquationA.T. Ademola, R. Kehinde, O.M. OgunlaranIn this study, we establish conditions for ultimate boundedness of solutions for a certain third order nonlinear differential equation using a complete Yoshizawa function. The result includes and extends the earlier results in the literature. …Journal of Mathematics and Statistics, Vol. 4, Issue 2 · 30 Jun 2008 · 6,925 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleA Study of Thermal Contact using Nonlinear System Identification ModelsM.H. Shojaeefard, K. Goudarzi, A.R. Noorpoor, M. FazelpourOne interesting application of system identification method is to identify and control the heat transfer from the exhaust valve to the seat to keep away the valve from being damaged. In this study, two co-axial cylindrical specimens are used as exhaust valve and its seat. Using the measured temperatures at different locations of the specimens and with a semi-analytical method, … …American Journal of Engineering and Applied Sciences, Vol. 1, Issue 1 · 31 Mar 2008 · 7,528 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleA New Approach to Solve Nonlinear Partial Differential EquationsAbdoul R. Ghotbi, M. A. Mohammadzade, A. Avaei, M. KeyvanipoorNonlinear phenomena play a crucial role in applied mathematics and physics. Explicit solutions to the nonlinear equations are of fundamental importance. Various methods for obtaining explicit solution to nonlinear evolution equations have been proposed. In this letter homotopy perturbation method (HPM) is employed for solving one-dimensional non-homogeneous parabolic partial differential equation with a variable coefficient and a system of nonlinear … …Journal of Mathematics and Statistics, Vol. 3, Issue 4 · 31 Dec 2007 · 6,916 accessesView PDFCite