ABORDAGEM PEDAGÓGICA DA TEORIA DA ESTABILIDADE ESTRUTURAL

Abstract

DOI: 10.14684/intertech.13.2014.159-163

This article presents a conceptual and pedagogical approach with regard to the theory of structural-stability, including the terminologies involved as bifurcation, critical loads, limit points, dynamic jump and critical paths. In addition, this paper presents a computational numerical procedure for the analysis of the stability of mechanical systems geometrically nonlinear with one or two degrees of freedom, without loss of generality involved. The concepts and procedures presented in this work will be of great value not only for the teaching of the theory of stability at the undergraduate level, but also teaching at graduate courses in civil and mechanical engineering, as it provides details of the computational implementation, concepts of stability, analytical solution of geometrically nonlinear systems, as well as incremental-iterative solution based on Newton-Raphson method, using simple models with rigid bars and rotational and linear springs. Index Terms - Newton-Raphson method, Nonlinear anylises, Pedagogical approach, Theory of elastic stability.