Nonlinear Behavior of Cable-Reinforced Membranes

by Vijay K. Verma, Specialist; Sargent & Lundy Engrs., Chicago, Ill.,
John W. Leonard, (A.M.ASCE), Prof. and Chmn. of Civ. Engrg.; Illinois Inst. of Tech., Chicago, Ill.,


Serial Information: Journal of the Engineering Mechanics Division, 1978, Vol. 104, Issue 4, Pg. 735-750


Document Type: Journal Paper

Abstract: In this work a finite element model for the nonlinear static behavior of extremely thin, arbitrary shaped, cable-reinforced membrane shells has been developed. Large strain, large displacement theory has been used to derive the governing equations. For membranes, a curvilinear quadrilateral element is used and for cables a general one-dimensional curvilinear element is used. Solution to the nonlinear algebriac equations is obtained by a combined incremental and Newton-Raphson iterative technique. Three example problems have been considered to demonstrate the effect of the presence and spacing of reinforcement for various shell geometries.

Subject Headings: Cables | Membranes | Finite element method | Nonlinear response | Geometry | Statics (mechanics) | Arbitration | Strain

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