Differential Equations Numerical Solutions
Mostrando 1-12 de 57 artigos, teses e dissertações.
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1. A Nodal-iterative Technique for Criticality Calculations in Multigroup Neutron Diffusion Models
ABSTRACT In this work, a nodal and iterative technique to evaluate the effective multiplication factor as well as the neutron flux, in multigroup diffusion problems, is presented. An iterative scheme, similar to the source iteration method, is implemented to decouple the system of differential equations which is the fundamental mathematical model. Then, anal
Trends in Computational and Applied Mathematics. Publicado em: 2022
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2. Two-dimensional beams in rectangular coordinates using the radial point interpolation method
Abstract The three-dimensional Theory of Elasticity equations lead to a complex solution for most problems in engineering. Therefore, the solutions are typically developed for reduced systems, usually symmetrical or two-dimensional. In this context, computational resources allow the reduction of these simplifications. The most recognized methods of algebraic
REM, Int. Eng. J.. Publicado em: 2020-03
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3. 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
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4. Higher-order explicit time integration methods for numerical analyses of structural dynamics
Abstract In this article, third- and fourth-order accurate explicit time integration methods are developed for effective analyses of various linear and nonlinear dynamic problems stated by second-order ordinary differential equations in time. Two sets of the new methods are developed by employing the collocation approach in the time domain. To remedy some sh
Lat. Am. j. solids struct.. Publicado em: 22/07/2019
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5. Análise do Método Multi-Passos com Transformada Diferencial Generalizada na Modelagem Fracionária
RESUMO Apresenta-se uma análise crítica de uma técnica numérica que tem sido usada na resolução de equações diferenciais de ordem fracionária com derivadas de Caputo. Trata-se do método multi-passos com transformada diferencial generalizada. Verifica-se que a versão do método disponível na literatura produz soluções erradas a partir do segundo
TEMA (São Carlos). Publicado em: 10/06/2019
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6. 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
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7. Simple but accurate periodic solutions for the nonlinear pendulum equation
Abstract Despite its elementary structure, the simple pendulum oscillations are described by a nonlinear differential equation whose exact solution for the angular displacement from vertical as a function of time cannot be expressed in terms of an elementary function, so either a numerical treatment or some analytical approximation is ultimately demanded. Su
Rev. Bras. Ensino Fís.. Publicado em: 21/09/2018
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8. Analytical Solution for Optimal Low-Thrust Limited-Power Transfers Between Non-Coplanar Coaxial Orbits
ABSTRACT: In this paper, an analytical solution for time-fixed optimal low-thrust limited-power transfers (no rendezvous) between elliptic coaxial non-coplanar orbits in an inverse-square force field is presented. Two particular classes of maneuvers are related to such transfers: maneuvers with change in the inclination of the orbital plane and maneuvers wit
J. Aerosp. Technol. Manag.. Publicado em: 03/05/2018
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9. 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
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10. 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
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11. Nonlinear Dynamic Analysis of Telescopic Mechanism for Truss Structure Bridge Inspection Vehicle Under Pedestrian Excitation
Abstract Nonlinear dynamic analysis of an axially moving telescopic mechanism for truss structure bridge inspection vehicle under pedestrian excitation is carried out. A biomechanically inspired inverted-pendulum model is utilized to simplify the pedestrian. The nonlinear equations of motion for the beam-pedestrian system are derived using the Hamilton's pri
Lat. Am. j. solids struct.. Publicado em: 2016-06
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12. 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