| Journal: | Journal of the Brazilian Society of Mechanical Sciences |
| Database: | PERIÓDICA |
| System number: | 000312072 |
| ISSN: | 0100-7386 |
| Authors: | Banchio, Enrique G1 Godoy, Luis A |
| Institutions: | 1Universidad Nacional de Córdoba, Departamento de Estructuras, Córdoba. Argentina |
| Year: | 2001 |
| Volumen: | 23 |
| Number: | 1 |
| Pages: | 23-40 |
| Country: | Brasil |
| Language: | Inglés |
| Document type: | Artículo |
| Approach: | Analítico |
| English abstract | A direct procedure for the evaluation of imperfection sensitivity in bifurcation problems is presented. The problems arise in the context of the general theory of elastic stability for discrete structural systems, in which the energy criterion of stability of structures and the total potential energy formulation are employed. In cases of bifurcation buckling the sensitivity of the critical load with respect to an imperfection parameter e is singular at the state given by epsilon =0, so that, a regular perturbation expansion of the solution is not possible. In this work we describe a direct procedure to obtain the relations between the critical loads, the generalized coordinates at the critical state, the eigenvector, and the amplitude of the imperfection, using singular perturbation analysis. The expansions are assumed in terms of arbitrary powers of the imperfection parameter, so that both exponents and coefficients of the expansion are unknown. The solution of the series exponents is obtained by searching the least degenerate solution. The formulation is here applied to asymmetric bifurcations, for which explicit expressions of the coefficients are obtained. The use of the method is illustrated by a simple example, which allows consideration of the main features of the formulation |
| Disciplines: | Ingeniería |
| Keyword: | Ingeniería civil, Ingeniería mecánica, Estructuras, Bifurcación, Estabilidad, Pandeo, Sensibilidad, Análisis, Perturbaciones |
| Keyword: | Engineering, Civil engineering, Mechanical engineering, Structures, Bifurcation, Stability, Buckling, Sensibility, Analysis |
| Full text: | Texto completo (Ver HTML) |
