Tabarrok, B.; Xiong, Y. On the buckling equations for spatial rods. (English) Zbl 0674.73040 Int. J. Mech. Sci. 31, No. 3, 179-192 (1989). 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. Cited in 1 Document MSC: 74G60 Bifurcation and buckling 74K10 Rods (beams, columns, shafts, arches, rings, etc.) Keywords:equilibrium equations; strain-displacement relations; classical adjacent equilibrium position method; general stability equations; pretwisted rods; arches; helices PDFBibTeX XMLCite \textit{B. Tabarrok} and \textit{Y. Xiong}, Int. J. Mech. Sci. 31, No. 3, 179--192 (1989; Zbl 0674.73040) Full Text: DOI