INVESTIGADORES
GODOY luis Augusto
artículos
Título:
On the elastic stability of static non-holonomic systems
Autor/es:
LUIS A. GODOY; ANIBAL E. MIRASSO
Revista:
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
Editorial:
Pergamon Press (Elsevier)
Referencias:
Lugar: Oxford; Año: 2003 vol. 40 p. 3439 - 3462
ISSN:
0020-7683
Resumen:
This paper presents a new formulation for the elastic stability of static non-holonomic structural systems. The theory is developed within the tradition of discrete (or discretized) systems written in terms of a set of generalized coordinates and control parameters. The non-holonomic conditions are written as constraint functions. The formulation employs a Lagrangian functional in terms of the total potential energy, the constraint functions and multipliers. Critical states are identified and the solution is next expanded by regular perturbations. This allows establishing a classification of critical states and identifies the initial postcritical behavior. This solution is valid provided that there is no change in the active constraints of the system. The paper presents a mathematical analysis of the critical condition, and concludes with simple examples of two degree-of-freedom systems previously investigated by other authors.
