A new approach to evaluate imperfection sensitivity in asymmetric bifurcation buckling analysis



Título del documento: A new approach to evaluate imperfection sensitivity in asymmetric bifurcation buckling analysis
Revista: Journal of the Brazilian Society of Mechanical Sciences
Base de datos: PERIÓDICA
Número de sistema: 000312072
ISSN: 0100-7386
Autores: 1
Instituciones: 1Universidad Nacional de Córdoba, Departamento de Estructuras, Córdoba. Argentina
Año:
Volumen: 23
Número: 1
Paginación: 23-40
País: Brasil
Idioma: Inglés
Tipo de documento: Artículo
Enfoque: Analítico
Resumen en inglés 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
Disciplinas: Ingeniería
Palabras clave: Ingeniería civil,
Ingeniería mecánica,
Estructuras,
Bifurcación,
Estabilidad,
Pandeo,
Sensibilidad,
Análisis,
Perturbaciones
Keyword: Engineering,
Civil engineering,
Mechanical engineering,
Structures,
Bifurcation,
Stability,
Buckling,
Sensibility,
Analysis
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