Sommario
Per il problema della trave elastica su fondazione elastica unilaterale assialmente caricata si prova l'esistenza del carico critico e se ne dà l'espressione.
Summary
We analyze the problem of the axially loaded elastic beam on a one-sided elastic foundation. The existence of the critical load is proved and its expression is given.
References
Browder F. E.,Existence theorems for nonlinear partial differntial equations, in «Global Analysis», Proc. Symp. Pure Math., Vol. 16, pp. 1–60, AMS, Providence, Rhode Island, 1970.
Dias J. P.,Variational inequalities and eigenvalue problems for nonlinear maximal monotone operators in a Hilbert space, Am. J. of Math., 97, pp. 905–914, 1976.
Do C.,Problèmes de valeurs propres pour une inéquation variationnelle, sur un cône et application au flambement unilatéral d'une plaque mine, C.R. Acad. Sc. Paris, Sez. A 280, pp. 45–48, 1975.
Do C.,The buckling of a thin elastic plate subjected to unilateral conditions, in «Applications of Methods of Functional Analysis to Problems in Mechanics», Springer Lecture Notes, n. 503, pp. 307 – 316, Springer, 1976.
Do C.,Bifurcation theory for elastic plates subjected to unilateral conditions, J. of Math. An. and Appl., 60, pp. 435–448, 1977.
Toscano R., Maceri A.,Sul Problema della trave su suolo elastico unilaterale, Boll. U.M.I., (5) 17-B (1980), 352–372.
Villaggio P.,Buckling under unilateral constraints, Int. J. Solids Structures, 15, pp. 193–201, 1979.
Vainberg M. M.,Variational methods for the study of nonlinear operators, Holden-Day, 1964.
Weinberger H. F.,Variational methods for Eigenvalue Problems, Lecture Notes by G. P. Schwarz, Univ. of Minnesota, 1962.
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Toscano, R., Maceri, A. On the elastic stability of beams under unilateral constraints. Meccanica 15, 31–38 (1980). https://doi.org/10.1007/BF02128238
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DOI: https://doi.org/10.1007/BF02128238