An?lise comparativa e num?rica do comportamento de placas delgadas por meio do m?todo das diferen?as finitas energ?ticas

• Main Author: Silva, Altamiro Junio Mendes
• Other Authors: Alexandrino, Carlos Henrique
• Language: Portuguese
• Published: UFVJM 2018
• Subjects: Placas delgadas; Engenharia estrutural; Diferen?as finitas; Thin plates; Structural engineering; Finite difference
• Online Access: http://acervo.ufvjm.edu.br/jspui/handle/1/1672

Submitted by Raniere Barreto ([e-mail]) on 2018-05-10T17:24:21Z No. of bitstreams: 2 license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) altamiro_junio_mendes_silva.pdf: 4294935 bytes, checksum: fa3eca4f34d0f388a736e8026703da56 (MD5) === Approved for entry into archive by Rodrigo Martins Cruz ([e-mail]) on 2018-05-14T14:40:09Z (GMT) No. of bitstreams: 2 license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) altamiro_junio_mendes_silva.pdf: 4294935 bytes, checksum: fa3eca4f34d0f388a736e8026703da56 (MD5) === Made available in DSpace on 2018-05-14T14:40:09Z (GMT). No. of bitstreams: 2 license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) altamiro_junio_mendes_silva.pdf: 4294935 bytes, checksum: fa3eca4f34d0f388a736e8026703da56 (MD5) Previous issue date: 2016 === O presente trabalho apresenta a aplica??o do M?todo das Diferen?as Finitas Energ?ticas para an?lise do comportamento de placas delgadas. Este ? semelhante ao m?todo cl?ssico das diferen?as finitas, por?m as derivadas envolvidas nas equa??es diferenciais s?o de menor ordem. A an?lise e projeto de placas, cascas e chapas constituem uma importante ?rea na engenharia estrutural, por possuir uma participa??o significativa na composi??o do custo da estrutura e nos requisitos relacionados a sua seguran?a. Neste contexto, o estudo de placas ? um tema relevante na an?lise estrutural, pois permite uma interpreta??o cada vez mais pr?xima da realidade dos fen?menos f?sicos. A resolu??o anal?tica deste tipo de estrutura pode ser uma tarefa complexa, at? mesmo imposs?vel, pois depende de v?rios fatores, sendo necess?rio recorrer ? utiliza??o de m?todos num?ricos que sejam capazes de fornecer resultados aproximados e com precis?o satisfat?ria. Neste sentido, foi implementada uma rotina por meio do software M?XIMA, de modo a automatizar os procedimentos da formula??o desenvolvida para an?lise de placas delgadas. Para validar a metodologia aplicada, os resultados foram comparados com outros obtidos por solu??es anal?ticas, na literatura e pela an?lise realizada por outros programas. === Disserta??o (Mestrado Profissional) ? Programa de P?s-Gradua??o em Tecnologia, Sa?de e Sociedade, Universidade Federal dos Vales do Jequitinhonha e Mucuri, 2016. === This paper presents the application of energy finite difference method for determining the major efforts on thin plates. This is similar to the classic finite differences method, but the derivatives involved in the differential equations are of a lesser order. The analysis and design of plates and shells are an important area within the structural engineering, because it has a significant participation in the cost of the composition of the structure and requirements related to their safety. In this context, the study of plates is a relevant issue in the structural analysis, because allows an interpretation ever closer to the reality of physical phenomena. The analytical resolution of this type of structure can be a complex task, even impossible, it depends on various factors, being necessary to resort to the use of numerical methods that are able to provide approximate results and satisfactory precision. In this sense, it was implemented a routine through MAXIMA, in order to automate procedures to be carried out during the analysis of thin plates. The results were compared with other obtained by analytical solutions, in the literature, and the analysis by other programs, to validate the methodology applied.