Stability, buckling, and postbuckling of elastic structures
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Summary
This paper is the continuation of a research on the stability and postbuckling behaviour of elastic structures; in the first Part [n. 4, Vol. X, 1975 of this Journal], the potential energy of elastic tridimensional bodies has been defined in a suitable configuration space, and its properties of regularity have been studied. According to the program given in the previous Paper, we examine now the potential energy functional for some monodimensional and bidimensional structural models. Then the Part II of this research is developed so that the Liapunov stability of the equilibrium configuration of continuous elastic structures is analyzed by means of suitable energy criteria.
Keywords
Mechanical Engineer Potential Energy Civil Engineer Configuration Space Energy CriterionSommario
Questo lavoro costituisce il proseguimento di uno studio sulle stabilità e comportamento postcritico delle strutture elastiche; nel precedente lavoro, pubblicato sul n. 4, vol. X, 1975 di questa rivista, è stato esaminato il problema della definizione dell'energia potenziale di un corpo elastico tridimensionale in un opportuno spazio funzionale delle configurazioni, e sono state esaminate le proprietà di regolarità di questo funzionale. Proseguendo il programma formulato nel lavoro precedente, viene ora innanzitutto completato lo studio del funzionale energia potenziale con riferimento a modelli strutturali mono e bidimensionali. Viene poi sviluppata la Parte II e cioè l'analisi della stabilità secondo Liapunov di una configurazione di equilibrio attraverso opportune formulazioni dei criteri dell'energia.
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