The objective of this work is to contribute with a simple and reliable numerical tool for the stress analysis of cylindrical vessels subjected to generalized forces using a mixed formulation. Variational techniques coupled with functional analysis are used to obtain an optimized solution for the shell displacement and further stress field evaluation using a combination of unknown analytic functions with Fourier...
The main objective of this work is to present a numerical formulation to solve the problem of the deformation analysis ot thin-walled circular cylindrical pipes under concentred loads. The solutions is based on a displacement field entirely defined from a set of trigonometic functiobns where the amplitudes are assigned as a nodal paramenters in a multi-nodal finite element. With this formulation it is possible ...
An alternative formulation to current meshes dealing with finite shell elements is presented to solve the problem of stress analysis of curved pipes subjected to in-plane bending forces. The solution is based on finite curved elements, where displacements are defined from a total set of trigonometric functions or a fifth-order polynomial, combined with Fourier series. Global shell displacements are achieved thr...
Cylindrical shells have a simple geometry and application in pressure vessels and piping engineering. The development of calculation algorithms in structural project is impelled by a constant challenge in the search of more accurate and fast design tools in engineering. The objective of this work is to contribute with a simple and reliable numerical tool for the stress analysis of cylindrical vessels subjected ...
A crack tip represents a highly singular stress field existing in a structural component. The evaluation of the associate strain gradient is difficult using experimental discrete methods. An efficient alternative relies on optical methods which are non contact and give continuous information about displacements fields and its derivatives for strain evaluation. This paper describes some experimental methods to f...
Piping structures have large application in power generation and chemical plants. Given their complexity and construction safety standards, the development of accurate numerical methods has been analyzed by several authors [1,2,3] with trigonometric solutions. Also pipe finite elements, with a considerable amount and complexity of work, has been used to define accurate models for numerical approach of the stres...
The exact bending solutions of moderately thick rectangular plates with two opposite sides simply into Hamilton cononical equations. Then the whole state variables are separeted. According to the method of eigenfunction expansion in the symplectic geometry, the exact bending solutions of the plates are used and there is no need to select the deformation functions arbitrary, the approach utilized is completely r...
Neste artigo apresentam-se vários modelos numéricos para análise de estruturas tubulares, como uma alternativa aos elementos finitos de casca tradicionalmente utilizados em tais aplicações. Os modelos baseiam-se em diferentes campos de deslocamentos, sendo sumariamente apresentadas as formulações necessárias à sua definição. Mostram-se alguns casos de aplicação em estudo utilizando os modelos desenvolvidos e re...
Numerical analysis of hollow tubular sections is used as a starting tool to establish the reliability assessment of these elements when mechanically or thermally loaded. To quantify the material deformation behaviour of these elements resulting from ground motion, crack propagation, effects from high temperatures, theoretical and experiments analyses can be used for testing a service reliable guarantee. Structu...
Neste artigo apresenta-se um modelo numérico e experimental para a análise de secções tubulares quando submetidas a carregamentos transversais. O objectivo consiste na avaliação da integridade estrutural destes elementos função da sua resistência à deflexão através do seu comportamento para além do domínio elástico. O modelo numérico baseia-se na utilização de elementos sólidos com características de não linear...
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