Sommario
Si propone un approccio analitico generate per la soluzione del problema non lineare di un'asta rettilinea di rigidezza non uniforme di materiale elastico-lineare isotropo.
Il metodo dell'equivalenza lineare introdotto da uno degli autori è applicato a due casi fondamentali della trave isostatica rettilinea, cioè la mensola (problema alla Cauchy) e la trave appoggiata (problema bilocale). Vengono presentati alcuni esempi numerici concernenti deformazioni e rotazioni moderatamente grandi.
Summary
A general analytical approach of the non-linear problem of a linear elastic and isotropic straight bar of variable stiffness is indicated. The linear equivalence method, introduced by one of the authors, is applied to two fundamental cases for the isostatic straight bar, i.e. the cantilever bar (a Cauchy type problem) and the simply supported bar (a bilocal problem). Some numerical examples concerning moderate deformations and rotations are presented.
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Teodorescu, P.P., Toma, I. Two fundamental cases in the non-linear bending of a straight bar. Meccanica 19, 52–60 (1984). https://doi.org/10.1007/BF01560550
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DOI: https://doi.org/10.1007/BF01560550