Differential Equations Nonlinear
Mostrando 13-24 de 128 artigos, teses e dissertações.
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13. Aerothermoelastic Analysis of Functionally Graded Plates Using Generalized Differential Quadrature Method
Abstract In the present paper, the aerothermoelastic behavior of Functionally Graded (FG) plates under supersonic airflow is investigated using Generalized Differential Quadrature Method (GDQM). The structural model is considered based on the classical plate theory and the von Karman strain-displacement relations are utilized to involve the nonlinear behavio
Lat. Am. j. solids struct.. Publicado em: 2016-04
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14. ADVANCED CONTROL OF A COMPLEX CHEMICAL PROCESS
Abstract Three phase catalytic hydrogenation reactors are important reactors with complex behavior due to the interaction among gas, solid and liquid phases with the kinetic, mass and heat transfer mechanisms. A nonlinear distributed parameter model was developed based on mass and energy conservation principles. It consists of balance equations for the gas a
Braz. J. Chem. Eng.. Publicado em: 2016-03
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15. Theory of Weightless Sagging Elasto-Flexible Cables
Abstract In this Paper, a theory of single sagging planer weightless elasto-flexible cables is proposed. In reference to the instantaneous natural state, hypoelastic rate- type constitutive equations and third-order nonlinear differential equations of planer motion for massless cables with nodal masses are derived. New concepts like configurational complemen
Lat. Am. j. solids struct.. Publicado em: 2016-01
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16. Large amplitude free vibration of micro/nano beams based on nonlocal thermal elasticity theory
Abstract This paper is concerned with the nonlinear free vibration of a heated micro/nano beam modeled after the nonlocal continuum elasticity theory and Euler-Bernoulli beam theory. The governing partial differential equations are derived from the Hamilton variational principle and von Kármán geometric nonlinearity, in which the effects of the nonlocality
Lat. Am. j. solids struct.. Publicado em: 2015-10
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17. Comparison of an impec and a semi-implicit formulation for compositional reservoir simulation
In compositional reservoir simulation, a set of non-linear partial differential equations must be solved. In this work, two numerical formulations are compared. The first formulation is based on an implicit pressure and explicit composition (IMPEC) procedure, and the second formulation uses an implicit pressure and implicit saturation (IMPSAT). The main goal
Braz. J. Chem. Eng.. Publicado em: 2014-12
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18. A study on the nonlinear stability of orthotropic single-layered graphene sheet based on nonlocal elasticity theory
Recently, graphene sheets have shown significant potential for environmental engineering applications such as wastewater treatment. In the present work, the posbuckling response of orthotropic single-layered graphene sheet (SLGS) is investigated in a closed-form analytical manner using the nonlocal theory of Eringen. Two opposite edges of the plate are subje
Lat. Am. j. solids struct.. Publicado em: 2014
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19. Dinâmica não-linear e reagente limitante: um exemplo de bifurcação transcrítica
The nonlinear analysis of a general mixed second order reaction was performed, aiming to explore some basic tools concerning the mathematics of nonlinear differential equations. Concepts of stability around fixed points based on linear stability analysis are introduced, together with phase plane and integral curves. The main focus is the chemical relationshi
Quím. Nova. Publicado em: 2014
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20. Modeling the size dependent pull-in instability of beam-type NEMS using strain gradient theory
It is well recognized that size dependency of materials characteristics, i.e. size-effect, often plays a significant role in the performance of nano-structures. Herein, strain gradient continuum theory is employed to investigate the size dependent pull-in instability of beam-type nano-electromechanical systems (NEMS). Two most common types of NEMS i.e. nano-
Lat. Am. j. solids struct.. Publicado em: 2014
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21. Size-dependent vibrations of post-buckled functionally graded Mindlin rectangular microplates
In this paper, the free vibration behavior of post-buckled functionally graded (FG) Mindlin rectangular microplates are described based on the modified couple stress theory (MCST). This theory enables the consideration of the size-effect through introducing material length scale parameters. The FG microplates made of a mixture of metal and ceramic are consid
Lat. Am. j. solids struct.. Publicado em: 2014
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22. General exact harmonic analysis of in-plane timoshenko beam structures
The exact solution for the problem of damped, steady state response, of in-plane Timoshenko frames subjected to harmonically time varying external forces is here described. The solution is obtained by using the classical dynamic stiffness matrix (DSM), which is non-linear and transcendental in respect to the excitation frequency, and by performing the harmon
Lat. Am. j. solids struct.. Publicado em: 2014
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23. Integral transform solution of natural convection in a square cavity with volumetric heat generation
The generalized integral transform technique (GITT) is employed to obtain a hybrid numerical-analytical solution of natural convection in a cavity with volumetric heat generation. The hybrid nature of this approach allows for the establishment of benchmark results in the solution of non-linear partial differential equation systems, including the coupled set
Braz. J. Chem. Eng.. Publicado em: 2013-12
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24. Magnetohydrodynamic axisymmetric flow of a third-grade fluid between two porous disks
This paper investigates magnetohydrodynamic axisymmetric flow of a third-grade fluid between two porous disks. The governing partial differential equations are transformed into ordinary differential equations by similarity transformations. The resulting non-linear problem is solved by a homotopy analysis method (HAM). The effects of dimensionless parameters
Braz. J. Chem. Eng.. Publicado em: 2013-09