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IASS 2016 Tokyo Symposium: Spatial Structures in the 21st Century


IASS Symposium 2016

SESSION: Tension & Membrane Structures

A unified formulation for redundancy of cable-strut structures considering the effect of pre-stresses

< Table of Contents for Tension & Membrane Structures
  • Proceedings Name: IASS 2016 Tokyo Symposium: Spatial Structures in the 21st Century
  • ISSN: (Electronic Version) 2518-6582
  • Session: Tension & Membrane Structures
  • Pages: 10
  • Title: A unified formulation for redundancy of cable-strut structures considering the effect of pre-stresses
  • Author(s): Jinyu Zhou, Wujun Chen, Bing Zhao, Chengjun Gao
  • Keywords: redundancy, cable-strut system, principle of virtual displacements, principle of minimum potential energy, distributed static indeterminacy, distributed kinematic indeterminacy
Abstract
An understanding of the redundancy is necessary to evaluate the robustness of a structure to progressive collapse frequently caused by unexpected events. However, such an understanding is limited by a lack of universal assessments for redundancy of a cable-strut assembly at pre-stressed configuration. To this end, a redundancy evaluation of cable-strut structures was improved by incorporating the effect of component pretension on structures. A nonlinear governing equation was established in the updated Lagrangian formalism, and then a linearization method for simplifying the strain energy was adopted to release the numerical complexity. Based on this reasonable linearization, a unified analytical formulation for elastic and geometric redundancies was derived using the principle of minimum potential energy; a theoretical comparison was made to clearly interpret the difference. Furthermore, two examples were investigated using this evaluation, to demonstrate the use of the proposed redundancy index and to provide insight into structural properties affecting robustness.

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