Homotopy
Mostrando 1-12 de 57 artigos, teses e dissertações.
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1. ANALYTICAL EXPRESSIONS FOR THE CONCENTRATION AND CURRENT IN THE REDUCTION OF HYDROGEN PEROXIDE AT A METAL-DISPERSED CONDUCTING POLYMER FILM
A mathematical model describing the reduction of Hydrogen peroxide (H2O2) to water in a metal dispersed conducting polymer film is discussed. The model is based on a system of reaction-diffusion equations containing a non-linear term related to Michaelis-Menten kinetics of the enzymatic reaction. The approximate analytical expressions corresponding to the co
Quím. Nova. Publicado em: 2020-01
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2. MATHEMATICAL MODEL OF CATALYTIC PROCESSES AT MODIFIED ELECTRODES
A mathematical modeling of electrocatalytic processes taking place at modified electrodes is discussed. In this paper we obtained the approximate analytical solutions for the nonlinear equations under non steady state conditions using homotopy perturbation method. Simple and approximate polynomial expressions for the concentration of reactant, product and ch
Quím. Nova. Publicado em: 2017-09
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3. The Equivalent Linearization Method with a Weighted Averaging for Analyzing of Nonlinear Vibrating Systems
Abstract In this paper, the Equivalent Linearization Method (ELM) with a weighted averaging, which is proposed by Anh (Anh, 2015), is applied to analyze some vibrating systems with nonlinearities. The strongly nonlinear Duffing oscillator with third, fifth, and seventh powers of the amplitude, the other strongly nonlinear oscillators and the cubic Duffing wi
Lat. Am. j. solids struct.. Publicado em: 2017-09
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4. Nonlinear Vibration and Mode Shapes of FG Cylindrical Shells
Abstract The nonlinear vibration and normal mode shapes of FG cylindrical shells are investigated using an efficient analytical method. The equations of motion of the shell are based on the Donnell’s non-linear shallow-shell, and the material is assumed to be gradually changed across the thickness according to the simple power law. The solution is provided
Lat. Am. j. solids struct.. Publicado em: 2017-03
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5. Enzyme kinetic modelling and analytical solution of nonlinear rate equation in the transformation of D-methionine into L-methionine in batch reactor using the new homotopy perturbation method
A mathematical model of biotransformation of D-methionine into L-methionine in the cascade of the enzymes such as, D-amino acid oxidase (D-AAO), L-phenylalanine dehydrogenase (L-PheDH) and formate dehydrogenase (FDH) is discussed. The model is based on a system of coupled nonlinear reaction equations under non steady-state conditions for biochemical reaction
Quím. Nova. Publicado em: 2016-12
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6. Nonlinear Vibrations of Cantilever Timoshenko Beams: A Homotopy Analysis
Abstract This study analyzes the fourth-order nonlinear free vibration of a Timoshenko beam. We discretize the governing differential equation by Galerkin's procedure and then apply the homotopy analysis method (HAM) to the obtained ordinary differential equation of the generalized coordinate. We derive novel analytical solutions for the nonlinear natural fr
Lat. Am. j. solids struct.. Publicado em: 2016-10
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7. Analytical Approximation of Nonlinear Vibration of Euler-Bernoulli Beams
Abstract In this paper, the Homotopy Analysis Method (HAM) with two auxiliary parameters and Differential Transform Method (DTM) are employed to solve the geometric nonlinear vibration of Euler-Bernoulli beams subjected to axial loads. A second auxiliary parameter is applied to the HAM to improve convergence in nonlinear systems with large deformations. The
Lat. Am. j. solids struct.. Publicado em: 2016-07
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8. Assessment of Homotopy Perturbation Method for Study the Forced Nonlinear Vibration of Orthotropic Circular Plate on Elastic Foundation
Abstract In this paper the nonlinear forced vibration of an orthotropic circular plate resting on Winkler, Pasternak and nonlinear Winkler foundation is investigated. Plates with edges elastically restrained against rotation and inplane displacement are analyzed and the Von-Karman geometric nonlinear equations are employed. In this study it is assumed that t
Lat. Am. j. solids struct.. Publicado em: 2016-02
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9. Analytical Couple-stress Solution for Size-dependent Large-amplitude Vibrations of FG Tapered-nanobeams
Abstract In this paper, analytical couple-stress solution for size-dependent large-amplitude vibrations of FG (functionally-graded) tapered-nanobeams is presented. Using the modified couple-stress theory, the small scale effects are accounted for. Employing the Homotopy-Pade Analysis Method, efficient and accurate analytical expressions for the deflection an
Lat. Am. j. solids struct.. Publicado em: 2016-01
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10. Flow behavior of unsteady incompressible Newtonian fluid flow between two parallel plates via homotopy analysis method
Abstract An analysis has been performed to study the problem of the flow of incompressible Newtonian fluid between two parallel plates where the upper plate is impermeable and can move up or down and the lower one is fixed and has a porous surface. The governing equations for this problem are reduced to an ordinary form and is solved using Homotopy Analysis
Lat. Am. j. solids struct.. Publicado em: 2015-10
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11. Dynamic pull-in instability of geometrically nonlinear actuated micro-beams based on the modified couple stress theory
This paper investigates the dynamic pull-in instability of vibrating micro-beams undergoing large deflection under electrosatically actuation. The governing equation of motion is derived based on the modified couple stress theory. Homotopy Perturbation Method is employed to produce the high accuracy approximate solution as well as the second-order frequency-
Lat. Am. j. solids struct.. Publicado em: 2014-10
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12. Influence of thermophoresis and joule heating on the radiative flow of jeffrey fluid with mixed convection
The aim of the present study is to address the magnetohydrodynamic (MHD) radiative flow of an incompressible Jeffrey fluid over a linearly stretched surface. Heat and mass transfer characteristics are accounted for in the presence of Joule heating and thermophoretic effects. Series solutions by the homotopy analysis method are constructed for the velocity, t
Braz. J. Chem. Eng.. Publicado em: 2013-12