In this paper we study axisymmetric buckling of radially graded circular plates. The flexural rigidity is considered to be a suitably varying function of the radial coordinate. The problem is posed as a semi-inverse one. The buckling mode is selected first, then the variation of the flexural rigidity consistent with the buckling mode is determined. Apparently for the first time in the literature, closed-form solutions are found. Such solutions allow the design of a circular plate whose buckling load is at least the pre-specified one. Such a design appears to find much applications in various fields of engineering.
A novel formulation leading to closed-form solutions for buckling of circular plates / I., Elishakoff; Ruta, Giuseppe; Y., Stavsky. - In: ACTA MECHANICA. - ISSN 0001-5970. - STAMPA. - 185:1-2(2006), pp. 81-88. [10.1007/s00707-006-0347-2]
A novel formulation leading to closed-form solutions for buckling of circular plates
RUTA, Giuseppe;
2006
Abstract
In this paper we study axisymmetric buckling of radially graded circular plates. The flexural rigidity is considered to be a suitably varying function of the radial coordinate. The problem is posed as a semi-inverse one. The buckling mode is selected first, then the variation of the flexural rigidity consistent with the buckling mode is determined. Apparently for the first time in the literature, closed-form solutions are found. Such solutions allow the design of a circular plate whose buckling load is at least the pre-specified one. Such a design appears to find much applications in various fields of engineering.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
