Finite Element Analysis of Doubly Corrugated Shells

by Herbert A. Mang, (A.M.ASCE), Univ. Asst.; Dept. of Civ. Engrg., Technical Univ. of Vienna, Vienna, Austria; formerly, Research Asst., Dept. of Civ. Engrg., Texas Tech Univ., Lubbock, Tex.,
Jimmy H. Smith, (M.ASCE), Assoc. Prof. of Civ. Engrg. and Dir.; Inst. for Univ. Research-Engrg., Texas Tech Univ., Lubbock, Tex,
C. V. Girya Vallabhan, (M.ASCE), Assoc. Prof. of Civ. Engrg.; Texas Tech Univ., Lubbock, Tex.,

Serial Information: Journal of the Structural Division, 1976, Vol. 102, Issue 10, Pg. 2033-2051

Document Type: Journal Paper


The basic structural components of the shells are doubly corrugated steel panels fabricated of thin sheet steel that is first deformed into a U-shaped big corrugation. Then, to obtain the proper curvature, small corrugations are rolled into the bottom and into the sides of the big corrugation. The proposed finite element model consists of an assemblage of curved rectangular elements with boundaries parallel to lines of principal curvature of the shell. Sanders' linearized strain-displacement equations are chosen for the description of the kinematics of deformation of the middle surface of a finite element. The small corrugations are replaced by an equivalent orthotropic material of uniform thickness. Suitable constitutive equations are developed. Static analyses are performed for two different doubly corrugated shells. Some of the predictions of the analysis are compared with experimental results.

Subject Headings: Finite element method | Curvature | Structural steel | Orthotropic materials | Steel structures | Shell structures | Panels (structural) | Fabrication

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