Structural Engineering and Mechanics

Volume 26, Number 1, 2007, pages 15-30

DOI: 10.12989/sem.2007.26.1.015

Duality in non-linear programming for limit analysis of not resisting tension bodies

A. Baratta and O. Corbi

Abstract

In the paper, one focuses on the problem of duality in non-linear programming, applied to the solution of no-tension problems by means of Limit Analysis (LA) theorems for Not Resisting Tension (NRT) models. In details, one demonstrates that, starting from the application of the duality theory to the non-linear program defined by the static theorem approach for a discrete NRT model, this procedure results in the definition of a dual problem that has a significant physical meaning: the formulation of the kinematic theorem.

Key Words

structural analysis; operational research; NRT model; duality; non-linear programming; limit analysis.

Address

A. Baratta and O. Corbi: Dept. of Structural Engineering, University of Naples ?Federico II?, via Claudio 21, 80125 Naples, Italy