Flexão e estabilidade de barras usando o modelo de Bickford-Reddy: uma abordagem pelo método dos elementos de contorno

• Ano de defesa: 2016
• Autor(a) principal: Maia, Cibelle Dias de Carvalho Dantas
• Tipo de documento: Dissertação
• Tipo de acesso: Acesso aberto
• Idioma: por
• Instituição de defesa: Universidade Federal da Paraíba; Brasil; Engenharia Cívil e Ambiental; Programa de Pós-Graduação em Engenharia Civil e Ambiental; UFPB
• Palavras-chave em Português: Teoria de vigas; Bickford-Reddy; Flambagem; Solução Fundamental; Equação Integral; Método dos Elementos de Contorno - MEC; Beam theory; Reddy-Bickford; Boundary Element Method - BEM; Buckling; Fundamental solution; Integral equation; ENGENHARIAS::ENGENHARIA CIVIL
• Link de acesso: https://repositorio.ufpb.br/jspui/handle/tede/9110

In this work, new solutions based on the Boundary Element Method (BEM) are established for the linear analysis of bending and stability problems of Reddy-Bickford beams. All mathematical steps to write the BEM representation are properly presented: transformation of governing differential equations into equivalent integral equations, deduction of fundamental solutions, formation and solution of algebraic representation.In addition, elastic foundations (winkler and pasternak’s types) attached to Reddy-Bickford beams are solved by BEM as well. It is also addressed a convenient strategy for discontinuities in the area such as abrupt change in geometry of the cross section (stepped beam), intermediate axial load, intermediate supports (continuous beam). Numerical examples incorporating various types of discontinuities and boundary conditions in the field are presented to validate the solutions proposed BEM.