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On the buckling equations for spatial rods. (English) Zbl 0674.73040

Summary: The general form of the equilibrium equations and strain-displacement relations for spatial rods are derived and, by considering the classical adjacent equilibrium position method, the general stability equations for spatial rods are then obtained. These equations yield the stability equations of pretwisted rods, arches and helices. By way of illustration, some numerical results are obtained for the buckling of pretwisted rods and are compared with those obtained by other methods.

MSC:

74G60 Bifurcation and buckling
74K10 Rods (beams, columns, shafts, arches, rings, etc.)
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