Galerkin
Mostrando 13-24 de 230 artigos, teses e dissertações.
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13. Nonlinear Vibration Analysis of Euler-Bernoulli Beams by Using Continuous Galerkin-Petrov Time-Discretization Method
Abstract In this paper, we present a new numerical method for nonlinear vibrational analysis of Euler-Bernoulli beams. Our approach is based on the continuous Galerkin-Petrov time discretization method. The Euler-Bernoulli beam equation which governs its vibrations is transformed into set of ordinary differential equations and the presented method is employe
Lat. Am. j. solids struct.. Publicado em: 2017-09
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14. Analysis of Geometrically Nonlinear Vibrations of Functionally Graded Shallow Shells of a Complex Shape
Abstract Geometrically nonlinear vibrations of functionally graded shallow shells of complex planform are studied. The paper deals with a power-law distribution of the volume fraction of ceramics and metal through the thickness. The analysis is performed with the use of the R-functions theory and variational Ritz method. Moreover, the Bubnov-Galerkin and the
Lat. Am. j. solids struct.. Publicado em: 2017-09
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15. Numerical Simulations with the Galerkin Least Squares Finite Element Method for the Burgers’ Equation on the Real Line
RESUMO Neste trabalho, apresentamos um eficiente esquema de elementos finitos com mínimos quadrados de Galerkin para simular a equação de Burgers na reta toda, sujeita a condições iniciais com suporte compacto. As simulações numéricas foram realizadas tomando-se uma sequência de problemas auxiliares de Dirichlet adimensionais no espaço e parametriz
TEMA (São Carlos). Publicado em: 2017-08
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16. Dynamic Response of Orthotropic Membrane Structure under Impact Load based on Multiple Scale Perturbation Method
Abstract This paper investigates the dynamic response of rectangular prestressed membrane subjected to concentrated impact load based on multiple scale perturbation method. The governing equations of motion of nonlinear vibration are derived based on the Föppl large deflection theory and Galerkin method. By introducing different time scales to consider the
Lat. Am. j. solids struct.. Publicado em: 2017-08
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17. Impact Damage Analysis with Stress Continuity Constraints Fulfilment at Damaged-Undamaged Regions and at Layer Interfaces
Abstract Low-velocity impacts have a relevant importance for safety of laminated and sandwich composite structures, because they are highly susceptible to damage. In this paper, a 3D cost effective zig-zag model is developed in order to efficiently simulate such impacts. It a priori fulfills the continuity of out-of-plane stresses at layer interfaces, the co
Lat. Am. j. solids struct.. Publicado em: 2017-08
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18. Imposition of Dirichlet Boundary Conditions in Element Free Galerkin Method through an Object-Oriented Implementation
Abstract One of the main drawbacks of Element Free Galerkin (EFG) method is its dependence on moving least square shape functions which don’t satisfy the Kronecker Delta property, so in this method it’s not possible to apply Dirichlet boundary conditions directly. The aim of the present paper is to discuss different aspects of three widely used methods o
Lat. Am. j. solids struct.. Publicado em: 2017-06
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19. Nonlinear Analysis on Buckling and Postbuckling of Stiffened FGM Imperfect Cylindrical Shells Filled Inside by Elastic Foundations in Thermal Environment Using TSDT
Abstract The main aim of this paper is to investigate analytically nonlinear buckling and post-buckling of functionally graded stiffened circular cylindrical shells filled inside by Pasternak two-parameter elastic foundations in thermal environments and under axial compression load and external pressure by analytical approach. Shells are reinforced by closel
Lat. Am. j. solids struct.. Publicado em: 2017-06
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20. Nonlinear Forced Vibration Analysis of Dielectric-Elastomer Based Micro-Beam with Considering Yeoh Hyper-Elastic Model
Abstract The present study investigates nonlinear forced vibration of dielectric elastomer-based micro-beam. The nonlinear terms in beam equation are geometric and material one. Geometric nonlinearity is considered by von-Karman strain displacement relationship and the material nonlinearity is modeled with Yeoh hyper-elastic model. Galerkin and Multiple scal
Lat. Am. j. solids struct.. Publicado em: 2017-03
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21. 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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22. Dynamic Analysis of Imperfect FGM Circular Cylindrical Shells Reinforced by FGM Stiffener System Using Third Order Shear Deformation Theory in Term of Displacement Components
Abstract This paper presents dynamic analysis of an eccentrically stiffened imperfect circular cylindrical shells made of functionally graded materials (FGM), subjected to axial compressive load and filled inside by elastic foundations in thermal environments by analytical method. Shells are reinforced by FGM stringers and rings taking into account thermal e
Lat. Am. j. solids struct.. Publicado em: 2017
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23. Dynamic Properties of Coupled Tube-Array Structures with the Axial Loads
Abstract The tube-array structures coupled both with the fluid and the axial load is focused. In a heat exchanger, the tubes are frequently affected by cold and hot fluid shock waves. Thus, tubes are often found to be vibrated and even to be worn out. This vibration may not only alter the performance of the tubes but also introduce the damage in the heat exc
Lat. Am. j. solids struct.. Publicado em: 2016-12
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24. 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