Lagrangian Solutions
Mostrando 1-12 de 22 artigos, teses e dissertações.
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1. Optimization of geometrically nonlinear truss structures under dynamic loading
Abstract The goal of this article is to present the formulation of the optimization problem of truss structures with geometric nonlinearity under dynamic loads and provide examples of this problem. The formulated optimization problem aims to determine the cross-sectional area of the bars that minimizes the weight of the structure, imposing constraints on nod
REM, Int. Eng. J.. Publicado em: 2020-09
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2. Physical and geometric non-linear analysis using the finite difference method for one-dimensional consolidation problem
Abstract This article presents a numerical model based on the finite difference method for the physical and geometric non-linear analysis of a one-dimensional consolidation problem regarding a saturated, homogeneous and isotropic soil layer with low permeability and high compressibility. The problem is formulated by adopting the void ratio as the primary var
REM, Int. Eng. J.. Publicado em: 2019-06
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3. Sensitivity analysis of 3D frictional contact with BEM using complex-step differentiation
Abstract This paper presents a study of the complex step differentiation method applied to a parameter sensitivity analysis for 3D elastic contact problem. The analysis is performed with the Boundary Element Method (BEM) using discontinuous elements and the Generalized Newton Method with line search (GNMls). A standard BEM implementation is used and the cont
Lat. Am. j. solids struct.. Publicado em: 22/10/2018
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4. Nonlinear wave transmission and pressure on the fixed truncated breakwater using NURBS numerical wave tank
Fully nonlinear wave interaction with a fixed breakwater is investigated in a numerical wave tank (NWT). The potential theory and high-order boundary element method are used to solve the boundary value problem. Time domain simulation by a mixed Eulerian-Lagrangian (MEL) formulation and high-order boundary integral method based on non uniform rational B-splin
Lat. Am. j. solids struct.. Publicado em: 2014-01
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5. Simulation of irregular waves over submerged obstacle on a NURBS potential numerical wave tank
In this paper, a fully non-linear three-dimensional Numerical Wave Tank (NWT) is developed for studying propagation and scattering of non-linear random sea wave over bottom submerged bars. The simulation of fully non-linear free-surface is based on Non-Uniform Rational B-Spline formulation (NURBS) as a novel approach and Mixed Eulerian-Lagrangian method (MEL
Lat. Am. j. solids struct.. Publicado em: 2014
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6. A shell finite element formulation to analyze highly deformable rubber-like materials
Abstract: In this paper, a shell finite element formulation to analyze highly deformable shell structures composed of homogeneous rubber-like materials is presented. The element is a triangular shell of any-order with seven nodal parameters. The shell kinematics is based on geometrically exact Lagrangian description and on the Reissner-Mindlin hypothesis. Th
Lat. Am. j. solids struct.. Publicado em: 2013-11
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7. Material and geometric nonlinear analysis of reinforced concrete frame structures considering the influence of shear strength complementary mechanisms
A mechanical model for the analysis of reinforced concrete frame structures based on the Finite Element Method (FEM) is proposed in this paper. The nonlinear behavior of the steel and concrete is modeled by plasticity and damage models, respectively. In addition, geometric nonlinearity is considered by an updated lagrangian description, which allows writing
Lat. Am. j. solids struct.. Publicado em: 2013-09
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8. El estudio y enseñanza de los modos vibracionales de la molécula triatómica
This work shows that by means of knowledge of the general theory of small oscillations is possible to solve analytically the vibrational modes of the triangular molecule, and from comparative results between the linear and triangular molecule can access the dynamics of the triangular molecule and simplify the analysis. To illustrate this, is modeled mechanic
Revista Brasileira de Ensino de Física. Publicado em: 2011-03
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9. An arbitrary lagrangian-eulerian method for surface-tension dominated flows with contact lines / Simulação numérica de escoamentos bidimensionais com superfícies livres e linhas de contato dinâmicas
An arbitrary lagrangian-eulerian finite element method to solve surface tension dominated flows is presented. Such flows are important in many applications, particularly in capillary channels, that appear in microscale flows. The resolution of such flows presents several challenges that are addressed in this work. The flow is solved only in the liquid phase,
Publicado em: 2010
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10. Successive linear approximation for finite elasticity
A method of successive Lagrangian formulation of linear approximation for solving boundary value problems of large deformation in finite elasticity is proposed. Instead of solving the nonlinear problem, by assuming time steps small enough and the reference configuration updated at every step, we can linearize the constitutive equation and reduce it to linear
Computational & Applied Mathematics. Publicado em: 2010
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11. Métodos de penalidade e barreira para programação convexa semidefinida / Penalty / barrier methods for convex semidefinite programming
This work deals with multiplier methods to solve semidefinite convex programming problems and the analysis of their proprieties based on the proximal point method applied on the dual problem. We focus on a subclass of semidefinite programming problems with affine constraints, for which we study duality relations an conditions for the existence of solutions o
Publicado em: 2009
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12. Study and implementation of augmented lagrangian and modified barrier methods / Estudo e implementação dos metodos da lagrangeana aumentada e da barreira modificada
In this work we analyze and compare extensions of traditional penalty methods: augmented Lagrangian and modified logarithmic barrier methods. The penalties may be classified as external and internal or penalty and barrier. The externa I penaJty method generates a sequence of unfeasible solutions and the internal penalty method produces a sequence of feasible
Publicado em: 2008