An automated robust design methodology for suspended structures

Edward M. Segal, Landolf Rhode-Barbarigos, Rajan D Filomeno Coelho, Sigrid Adriaenssens

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Suspended structures such as cable roofs and bridges are tensile spatial systems. The objective of this paper is to describe an automated robust design methodology that can be used to evaluate suspended structures. Numerical simulations combine dynamic relaxation for the nonlinear structural analysis with a non-dominated sorting genetic algorithm (NSGA-II) for multicriteria optimization. The formulation used is general and adaptable to allow for handling of multiple objectives and constraints concurrently. Robust designs are obtained by including random uncertainties in the methodology. Uncertainties are assigned to model inputs which yields outputs with associated uncertainties. Polynomial chaos expansion (PCE) is utilized to create reduced-order stochastic structural analysis models. These models allow statistical robust measures to be obtained with reasonable computational time. A polyester-rope suspended footbridge case study is analyzed to show how the methodology handles both static and dynamic parameters. Test cases in which Young's Modulus and prestress are taken as random variables are examined. Two objectives (maximization of the lowest in-plane natural frequency and minimization of rope volume) and two static constraints (maximum stress and maximum slope) are considered simultaneously. Best compromise solution sets, also named Pareto fronts, for the deterministic and robust designs are compared and found to be similar for all test cases examined. Thus, for this case study, the deterministic solution is the most robust solution. The design methodology described in this paper can be used to evaluate other suspended systems subject to different constraints, objectives, uncertainties, etc. Consequently, this methodology has the potential to be a powerful computational tool for designing robust suspended structures.

Original languageEnglish (US)
Pages (from-to)221-229
Number of pages9
JournalJournal of the International Association for Shell and Spatial Structures
Volume56
Issue number4
StatePublished - Dec 1 2015

Fingerprint

Structural analysis
Footbridges
Sorting
Random variables
Chaos theory
Roofs
Polyesters
Natural frequencies
Cables
Elastic moduli
Genetic algorithms
Polynomials
Uncertainty
Methodology
Computer simulation
Structural Analysis
Computational
Rope
Statistical Models
Simulation

Keywords

  • Dynamic relaxation
  • Multicriteria optimization
  • Polyester-rope suspended footbridge
  • Polynomial chaos expansion
  • Robust design
  • Suspended structure

ASJC Scopus subject areas

  • Building and Construction
  • Civil and Structural Engineering
  • Mechanical Engineering
  • Arts and Humanities (miscellaneous)

Cite this

An automated robust design methodology for suspended structures. / Segal, Edward M.; Rhode-Barbarigos, Landolf; Coelho, Rajan D Filomeno; Adriaenssens, Sigrid.

In: Journal of the International Association for Shell and Spatial Structures, Vol. 56, No. 4, 01.12.2015, p. 221-229.

Research output: Contribution to journalArticle

Segal, Edward M. ; Rhode-Barbarigos, Landolf ; Coelho, Rajan D Filomeno ; Adriaenssens, Sigrid. / An automated robust design methodology for suspended structures. In: Journal of the International Association for Shell and Spatial Structures. 2015 ; Vol. 56, No. 4. pp. 221-229.
@article{691ef6559fbb48958139d24112012ce4,
title = "An automated robust design methodology for suspended structures",
abstract = "Suspended structures such as cable roofs and bridges are tensile spatial systems. The objective of this paper is to describe an automated robust design methodology that can be used to evaluate suspended structures. Numerical simulations combine dynamic relaxation for the nonlinear structural analysis with a non-dominated sorting genetic algorithm (NSGA-II) for multicriteria optimization. The formulation used is general and adaptable to allow for handling of multiple objectives and constraints concurrently. Robust designs are obtained by including random uncertainties in the methodology. Uncertainties are assigned to model inputs which yields outputs with associated uncertainties. Polynomial chaos expansion (PCE) is utilized to create reduced-order stochastic structural analysis models. These models allow statistical robust measures to be obtained with reasonable computational time. A polyester-rope suspended footbridge case study is analyzed to show how the methodology handles both static and dynamic parameters. Test cases in which Young's Modulus and prestress are taken as random variables are examined. Two objectives (maximization of the lowest in-plane natural frequency and minimization of rope volume) and two static constraints (maximum stress and maximum slope) are considered simultaneously. Best compromise solution sets, also named Pareto fronts, for the deterministic and robust designs are compared and found to be similar for all test cases examined. Thus, for this case study, the deterministic solution is the most robust solution. The design methodology described in this paper can be used to evaluate other suspended systems subject to different constraints, objectives, uncertainties, etc. Consequently, this methodology has the potential to be a powerful computational tool for designing robust suspended structures.",
keywords = "Dynamic relaxation, Multicriteria optimization, Polyester-rope suspended footbridge, Polynomial chaos expansion, Robust design, Suspended structure",
author = "Segal, {Edward M.} and Landolf Rhode-Barbarigos and Coelho, {Rajan D Filomeno} and Sigrid Adriaenssens",
year = "2015",
month = "12",
day = "1",
language = "English (US)",
volume = "56",
pages = "221--229",
journal = "Journal of the International Association for Shell and Spatial Structures",
issn = "1028-365X",
publisher = "Int. Association for Shell and Spatial Structures",
number = "4",

}

TY - JOUR

T1 - An automated robust design methodology for suspended structures

AU - Segal, Edward M.

AU - Rhode-Barbarigos, Landolf

AU - Coelho, Rajan D Filomeno

AU - Adriaenssens, Sigrid

PY - 2015/12/1

Y1 - 2015/12/1

N2 - Suspended structures such as cable roofs and bridges are tensile spatial systems. The objective of this paper is to describe an automated robust design methodology that can be used to evaluate suspended structures. Numerical simulations combine dynamic relaxation for the nonlinear structural analysis with a non-dominated sorting genetic algorithm (NSGA-II) for multicriteria optimization. The formulation used is general and adaptable to allow for handling of multiple objectives and constraints concurrently. Robust designs are obtained by including random uncertainties in the methodology. Uncertainties are assigned to model inputs which yields outputs with associated uncertainties. Polynomial chaos expansion (PCE) is utilized to create reduced-order stochastic structural analysis models. These models allow statistical robust measures to be obtained with reasonable computational time. A polyester-rope suspended footbridge case study is analyzed to show how the methodology handles both static and dynamic parameters. Test cases in which Young's Modulus and prestress are taken as random variables are examined. Two objectives (maximization of the lowest in-plane natural frequency and minimization of rope volume) and two static constraints (maximum stress and maximum slope) are considered simultaneously. Best compromise solution sets, also named Pareto fronts, for the deterministic and robust designs are compared and found to be similar for all test cases examined. Thus, for this case study, the deterministic solution is the most robust solution. The design methodology described in this paper can be used to evaluate other suspended systems subject to different constraints, objectives, uncertainties, etc. Consequently, this methodology has the potential to be a powerful computational tool for designing robust suspended structures.

AB - Suspended structures such as cable roofs and bridges are tensile spatial systems. The objective of this paper is to describe an automated robust design methodology that can be used to evaluate suspended structures. Numerical simulations combine dynamic relaxation for the nonlinear structural analysis with a non-dominated sorting genetic algorithm (NSGA-II) for multicriteria optimization. The formulation used is general and adaptable to allow for handling of multiple objectives and constraints concurrently. Robust designs are obtained by including random uncertainties in the methodology. Uncertainties are assigned to model inputs which yields outputs with associated uncertainties. Polynomial chaos expansion (PCE) is utilized to create reduced-order stochastic structural analysis models. These models allow statistical robust measures to be obtained with reasonable computational time. A polyester-rope suspended footbridge case study is analyzed to show how the methodology handles both static and dynamic parameters. Test cases in which Young's Modulus and prestress are taken as random variables are examined. Two objectives (maximization of the lowest in-plane natural frequency and minimization of rope volume) and two static constraints (maximum stress and maximum slope) are considered simultaneously. Best compromise solution sets, also named Pareto fronts, for the deterministic and robust designs are compared and found to be similar for all test cases examined. Thus, for this case study, the deterministic solution is the most robust solution. The design methodology described in this paper can be used to evaluate other suspended systems subject to different constraints, objectives, uncertainties, etc. Consequently, this methodology has the potential to be a powerful computational tool for designing robust suspended structures.

KW - Dynamic relaxation

KW - Multicriteria optimization

KW - Polyester-rope suspended footbridge

KW - Polynomial chaos expansion

KW - Robust design

KW - Suspended structure

UR - http://www.scopus.com/inward/record.url?scp=84953256276&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84953256276&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84953256276

VL - 56

SP - 221

EP - 229

JO - Journal of the International Association for Shell and Spatial Structures

JF - Journal of the International Association for Shell and Spatial Structures

SN - 1028-365X

IS - 4

ER -