Energy Approach to Inelastic Cable-Structure Analysis

by Giulio Maier, (M.ASCE), Prof.; Dept. of Struct. Engrg., Technical Univ. (Politecnico), Milan, Italy,
Roberto Contro, Asst. Prof.; Dept. of Civ. Engrg., Technical Univ. (Politecnico), Milan, Italy,

Serial Information: Journal of the Engineering Mechanics Division, 1975, Vol. 101, Issue 5, Pg. 531-548

Document Type: Journal Paper


A mew method is presented for the analysis of suspended structures in the presence of combined geometric and physical nonlinearities. Physical nonlinearity is due to loosening of cable numbers or their tensile yielding, or both, and is described by piecewise linear laws. It is shown that the solution can be attained by minimizing, under sign constraints only, an energy function of nodal displacements and corrective or inelastic strains (i.e., strains additional to the linear elastic ones). Thus a new generalization of the potential energy principle is achieved. The proposed numerical procedure consists of a fairly efficient algorithm in nonlinear programming. The irreversible nature of possible plastic deformations can be easily allowed for, from one loading step to another, by adjusting the piecewise linear cable law.

Subject Headings: Cables | Inelasticity | Linear functions | Suspended structures | Strain | Deformation (mechanics) | Geometrics | Nonlinear analysis

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