On a problem of slender, slightly hyperbolic, shells suggested by Torroja's structures
Jesús Ildefonso Díaz Díaz, É. Sanchez-Palencia · Comptes Rendus Mécanique · 2009
A rigidification phenomenon for certain thin slender parabolic shells, with curvature in the transversal direction to the main length was addressed in a previous work. The main results are generalized here to the case when the shape of the middle surface is no longer cylindrical, but incorporates a very small curvature in the longitudinal direction (it is “slightly hyperbolic”). The structure of the basic equations changes, but (due to a coupling with the flection rigidity) the main results hold true independently of the location of the characteristics. This problem constitutes a tentative modelling of certain remarkably rigid structures built by Torroja in the 1930s.