The buckling problem represents a way to evaluate the effect of in-plane forces in the behaviour of plates. The effect is distributed along the plate domain, and thus the Boundary Element Method (BEM) formulation of the problem requires domain integration. Several techniques can be used in the numerical implementation of the BEM to replace the domain integral with equivalent boundary integrals. This study adopted the Dual Reciprocity Method (DRM) to obtain a formulation without domain integrals. The bending model considered the effect of the shear deformation for better assessment of the relationship between the buckling load and the plate thickness. The analyses considered in-plane forces distributed in one or in both directions of the plate (normal forces), as well as in the tangential direction to the plate side (shear forces). The numerical results obtained for square and rectangular plates are compared with those available in the literature.
This work presents a novel formulation of the Boundary Element Method (BEM) with the Radial Integration Method (RIM) to calculate the critical loads of the plate buckling problem with shear deformation. An alternative formulation is adopted where the effect of the geometric non-linearity is described by using the first derivative of the function for the out-of-plane displacements. The RIM is developed for this problem and used to convert the resulting domain integrals into equivalent boundary integrals. The results are compared with other results available in the literature and with the results obtained with the Dual Reciprocity Method (DRM). The advantages of using the RIM are discussed at the end of this work.
Neste estudo será apresentada uma metodologia para automatizar o traçado da curva de compactação obtida pelo Ensaio Proctor Normal. O método sugerido é a regressão linear com mínimos quadrados para aproximar os dados experimentais por uma curva de segundo grau, podendo-se obter os valores importantes do ensaio, como o da umidade ótima e da massa específica seca máxima. É feita uma comparação entre a curva aproximada e os resultados obtidos de maneira experimental da literatura.
Este estudo detalhará os métodos utilizados para resolução da equação diferencial parcial parabólica de duas dimensões pelo método dos elementos finitos, quando utilizada em problemas de transferência de calor transiente. Serão utilizados métodos computacionais na resolução do problema. Será feita também a comparação dos resultados obtidos pelo método dos elementos finitos com a solução exata do problema.
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