Differential Equations Partial Numerical Solutions
Mostrando 1-12 de 26 artigos, teses e dissertações.
-
1. Large Displacement Static Analysis of Composite Elliptic Panels of Revolution having Variable Thickness and Resting on Winkler-Pasternak Elastic Foundation
Abstract Nonlinear static response of laminated composite Elliptic Panels of Revolution Structure(s) (EPRS) having variable thickness resting on Winkler-Pasternak (W-P) Elastic Foundation is investigated in this article. Generalized Differential Quadrature (GDQ) method is utilized to obtain the numerical solution of EPRS. The first-order shear deformation th
Lat. Am. j. solids struct.. Publicado em: 20/12/2019
-
2. Reduced-order strategy for meshless solution of plate bending problems with the generalized finite difference method
Abstract This paper presents some recent advances on the numerical solution of the classical Germain-Lagrange equation for plate bending of thin elastic plates. A meshless strategy using the Generalized Finite Difference Method (GFDM) is proposed upon substitution of the original fourth-order differential equation by a system composed of two second-order par
Lat. Am. j. solids struct.. Publicado em: 04/02/2019
-
3. Free vibration analysis and design optimization of SMA/Graphite/Epoxy composite shells in thermal environments
Abstract Composite shells, which are being widely used in engineering applications, are often under thermal loads. Thermal loads usually bring thermal stresses in the structure which can significantly affect its static and dynamic behaviors. One of the possible solutions for this matter is embedding Shape Memory Alloy (SMA) wires into the structure. In the
Lat. Am. j. solids struct.. Publicado em: 23/04/2018
-
4. A TVD scheme for 3d unstructured grids applied to compositional reservoir simulation
Abstract In reducing the grid orientation effect for the numerical solution of partial differential equations, interpolation functions play an important role when the advective transport of the governing equations is considered. This is due to the fact that, in general, the unknowns are evaluated in the vertices of the elements and such properties must be ex
Braz. J. Chem. Eng.. Publicado em: 2017-10
-
5. 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
-
6. Transverse Motions of Rectangular Plates Resting on Elastic Foundation and Under Concentrated Masses Moving at Varying Velocities
AbstractThis study concerns the dynamic characteristics of a prestressed isotropic, rectangular plate continuously supported by an elastic foundation and carrying accelerating mass M. Closed form solutions of the governing fourth order partial differential equations with variable and singular coefficients are presented. For the two-dimensional plate problem,
Lat. Am. j. solids struct.. Publicado em: 2015-07
-
7. 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
-
8. Estudo numérico da aplicação do método dos elementos finitos de Galerkin e dos mínimos quadrados na solução da equação da convecção-difusão-reação tridimensional / Numerical study of the application of Galerkin and least squares finite element methods in the solution of the tridimentional convection-diffusion-reaction equation
This paper the application of the Finite Element Method in variants Galerkin and Least Squares with auxiliary equations for the numerical solution of partial differential equation that models the convection-diffusion-reaction defined over a three-dimensional domain in steady state. In the spatial discretization were used hexahedrons elements with eight (line
Publicado em: 2011
-
9. Initial values for Riccati ODEs from variational PDEs
The recently discovered variational PDEs (partial differential equations) for finding missing boundary conditions in Hamilton equations of optimal control are applied to the extended-space transformation of time-variant linear-quadratic regulator (LQR) problems. These problems become autonomous but with nonlinear dynamics and costs. The numerical solutions t
Computational & Applied Mathematics. Publicado em: 2011
-
10. Dynamic behaviour under moving concentrated masses of simply supported rectangular plates resting on variable Winkler elastic foundation
The response of simply supported rectangular plates carrying moving masses and resting on variable Winkler elastic foundations is investigated in this work. The governing equation of the problem is a fourth order partial differential equation. In order to solve this problem, a technique based on separation of variables is used to reduce the governing fourth
Latin American Journal of Solids and Structures. Publicado em: 2011
-
11. Resolution of numerical hyperbolic partial differential equations nonlinear: a study aiming at recovery at oil / Resolução numérica de equações diferenciais parciais hiperbólicas não lineares: um estudo visando a recuperação de petróleo
O processo de recuperação secundária de petróleo é comumente realizado com a injeção de água no reservatório a fim de manter a pressão necessária para sua extração. Para que o investimento seja viável, os gastos com a extração têm de ser menores do que o retorno financeiro obtido com o petróleo. Para tanto, tornam-se extremamente importante
Publicado em: 2010
-
12. Boundary layer thickness of cylinders and plane surfaces immersed in packed beds in alignment with the flow
In this work, boundary layer development was investigated for a mass transfer process between a moving fluid and a slightly soluble cylinder or plane surface buried in a packed bed, in alignment with the direction of flow. The bed of inert particles is taken to have uniform voidage. For this purpose, numerical solutions of the partial differential equations
Brazilian Journal of Chemical Engineering. Publicado em: 2009-03