Variational Method
Mostrando 1-12 de 88 artigos, teses e dissertações.
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1. Variational Formulation and A Priori Estimates for the Galerkin Method for a Fractional Diffusion Equation
ABSTRACT In this work we obtain a variational formulation and a priori estimates for approximate solutions of a problem involving fractional diffusion equations.
Trends in Computational and Applied Mathematics. Publicado em: 2022
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2. Simplified expressions for dynamic behavior of cylindrical shells uncoupled and coupled with liquids
Abstract The dynamic behavior of cylindrical shells is essential in many practical applications. These include in-vacuum and coupled vibrations of structures with contained fluids. Closed-form solutions are extremely complex since they involve many terms and algebraic operations that require numerical solvers. In this work, a simplified closed-form solution
Lat. Am. j. solids struct.. Publicado em: 22/07/2019
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3. On the observation of extended microstructures and localized deformations in granular materials - A feature of excat quasi-convex energy envelope
Abstract In this paper a most promising scope of the exact quasiconvex energy envelope in modeling the granular materials with microstructures is presented. This study shows that it is possible to observe both the extended microstructures and localized deformations in granular materials using a variational model based on the mathematical relaxation theory. T
Lat. Am. j. solids struct.. Publicado em: 25/04/2019
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4. Approximate solutions of large amplitude vibration of a string
Abstract In the present study, the response of a flexible string with large amplitude transverse vibration is studied utilizing amplitude-frequency formulation, improved amplitude-frequency formulation and max-min approach. In order to verify the accuracy of these approaches, obtained results are compared with other methods such as variational approach meth
Lat. Am. j. solids struct.. Publicado em: 04/06/2018
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5. 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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6. Application of Higher Order Hamiltonian Approach to the Nonlinear Vibration of Micro Electro Mechanical Systems
Abstract This paper implements the higher order Hamiltonian method to analyze an electrostatically actuated nonlinear micro beam-based micro electro mechanical oscillator. First, second and third approximate solutions are obtained, and the frequency responses of the system are compared with energy balance method solution and previously solved Variational App
Lat. Am. j. solids struct.. Publicado em: 2016-03
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7. 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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8. Low-velocity Impact Response of a Nanocomposite Beam Using an Analytical Model
AbstractLow-velocity impact of a nanocomposite beam made of glass/epoxy reinforced with multi-wall carbon nanotubes and clay nanoparticles is investigated in this study. Exerting modified rule of mixture (MROM), the mechanical properties of nanocomposite including matrix, nanoparticles or multi-wall carbon nanotubes (MWCNT), and fiber are attained. In order
Lat. Am. j. solids struct.. Publicado em: 2015-04
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9. STABILIZED SEQUENTIAL QUADRATIC PROGRAMMING: A SURVEY
We review the motivation for, the current state-of-the-art in convergence results, and some open questions concerning the stabilized version of the sequential quadratic programming algorithm for constrained optimization. We also discuss the tools required for its local convergence analysis, globalization challenges, and extentions of the method to the more g
Pesqui. Oper.. Publicado em: 2014-12
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10. Explicit solution of the large amplitude transverse vibrations of a flexible string under constant tension
This paper presents the analytical simulation of string with large amplitudes using the Variational Iteration Method (VIM) and Hamiltonian Approach (HA). In order to verify the precision of the presented methods, current results were compared with He's Variational Approach and Runge-Kutta 4th order. It has been found that these methods are well suited for a
Lat. Am. j. solids struct.. Publicado em: 2014-05
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11. LETTER: Variational iteration method for Nonlinear Oscillators: a comment on "Application of Laplace Iteration method to Study of Nonlinear Vibration of laminated composite plates"
Lat. Am. j. solids struct.. Publicado em: 2014-03
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12. Dynamic model of large amplitude vibration of a uniform cantilever beam carrying an intermediate lumped mass and rotary inertia
In this paper, a mathematical model of large amplitude vibration of a uniform cantilever beam arising in the structural engineering is proposed. Two efficient and easy mathematical techniques called variational iteration method and He's variational approach are used to solve the governing differential equation of motion. To assess the accuracy of solutions,
Lat. Am. j. solids struct.. Publicado em: 2014-03