The Equilibrium of Corrugated Plates and Shells

Abstract

Corrugations are used to stiffen sheet materials and in so doing they increase the bending and torsional stiffness in one direction and reduce the in plane membrane stiffness in the other. In this paper we examine the implications of this for the equilibrium of corrugated plate and shell structures. In particular we show that if the derivation is kept in terms of membrane strain energy then such a structure is statically determinate. As a result, a closed-form solution is obtained for a corrugated shell which is simple to solve numerically and could allow a designer to explore a range of different corrugation patterns and support conditions in the initial stage of design

Buckling of Corrugated Ring under Uniform External Pressure

“…Corrugation of smooth shells is widely used to change their stiffness. In particular, for cylindrical shells under external pressure, the corrugation of the generatrix is used [1][2][3][4][5][6][7]; corrugation of the directrix significantly increases the stability of such shells under axial compression [8]. Therefore, the study of the stability of corrugated shells under external pressure is of practical importance.…”

Reflections on the Structure, Mathematics and Aesthetics of Shell Structures

“…This has been known since the eighteenth and nineteenth centuries through the work of Fig. 1 Computer model of corrugated shell described in Malek (2017) Varignon (1725) and Maxwell (1870), amongst others. In the membrane theory of shells, the load is balanced by the membrane stress multiplied by the curvature, and thus the shape of the shell affects its structural action.…”