Optimal stresses and load capacity for structures

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Abstract

For a statically indeterminate structure we examine the class of internal forces that are in equilibrium with a given external loading f. We define the optimal stress φopt as the smallest possible magnitude of any equilibrating internal force distribution. The stress sensitivity k = max foptf/||f||}, a purely geometric property of structure, is a measure of the sensitivity of the structure to variable external loading. Using the result for optimal stresses, an expression for the stress sensitivity factor is obtained in terms of the structure 's kinematic interpolation mapping. These notions, the corresponding theoretical results, and a simple implementation to finite element models are presented using linear and conic programming.

Original languageEnglish
Title of host publication2008 Proceedings of the 9th Biennial Conference on Engineering Systems Design and Analysis
Pages209-215
Number of pages7
StatePublished - 21 Sep 2009
Event2008 9th Biennial Conference on Engineering Systems Design and Analysis - Haifa, Israel
Duration: 7 Jul 20089 Jul 2008

Conference

Conference2008 9th Biennial Conference on Engineering Systems Design and Analysis
Country/TerritoryIsrael
CityHaifa
Period7/07/089/07/08

ASJC Scopus subject areas

  • Computational Mechanics
  • Control and Systems Engineering
  • Mechanical Engineering

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