Adjoint-FORM for efficient reliability analysis of large-scale structural problems

Yi Gao, Yongming Liu

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

For large scale structural reliability analysis, most of the current methods have the difficulty associated with the “curse of dimensionality”. A novel and efficient Adjoint-FORM (first order reliability method) is proposed to solve extremely large dimensional structural reliability problems. The method formulates the reliability problem as the optimization problem using the additional physical equation of the state variables (responses of the system). The responses and gradients in each iteration are efficiently evaluated by the adjoint method. Then the sequential quadratic programming (SQP) algorithm is applied to obtain the optimal reliability index. Its application is demonstrated by several extremely large dimension examples extracted from a truss structure with varying dimensions. The results of the proposed method are compared with those of FORM and direct Monte Carlo simulation. It is shown that the proposed model has the same failure probability estimation as the classical FORM, which is applicable to linear and weakly nonlinear problem. The major benefit is that the computational cost is almost independent of the dimensionality of the system, which is due to the adjoint formulation of the sensitivity problem. This characteristic offers a significant improvement of computational efficiency for large dimension problems. Finally, some future work are discussed.

Original languageEnglish (US)
Title of host publicationAIAA Non-Deterministic Approaches
PublisherAmerican Institute of Aeronautics and Astronautics Inc, AIAA
Edition209969
ISBN (Print)9781624105296
StatePublished - Jan 1 2018
EventAIAA Non-Deterministic Approaches Conference, 2018 - Kissimmee, United States
Duration: Jan 8 2018Jan 12 2018

Other

OtherAIAA Non-Deterministic Approaches Conference, 2018
CountryUnited States
CityKissimmee
Period1/8/181/12/18

Fingerprint

Reliability analysis
Quadratic programming
Computational efficiency
Costs

ASJC Scopus subject areas

  • Building and Construction
  • Civil and Structural Engineering
  • Architecture
  • Mechanics of Materials

Cite this

Gao, Y., & Liu, Y. (2018). Adjoint-FORM for efficient reliability analysis of large-scale structural problems. In AIAA Non-Deterministic Approaches (209969 ed.). American Institute of Aeronautics and Astronautics Inc, AIAA.

Adjoint-FORM for efficient reliability analysis of large-scale structural problems. / Gao, Yi; Liu, Yongming.

AIAA Non-Deterministic Approaches. 209969. ed. American Institute of Aeronautics and Astronautics Inc, AIAA, 2018.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Gao, Y & Liu, Y 2018, Adjoint-FORM for efficient reliability analysis of large-scale structural problems. in AIAA Non-Deterministic Approaches. 209969 edn, American Institute of Aeronautics and Astronautics Inc, AIAA, AIAA Non-Deterministic Approaches Conference, 2018, Kissimmee, United States, 1/8/18.
Gao Y, Liu Y. Adjoint-FORM for efficient reliability analysis of large-scale structural problems. In AIAA Non-Deterministic Approaches. 209969 ed. American Institute of Aeronautics and Astronautics Inc, AIAA. 2018
Gao, Yi ; Liu, Yongming. / Adjoint-FORM for efficient reliability analysis of large-scale structural problems. AIAA Non-Deterministic Approaches. 209969. ed. American Institute of Aeronautics and Astronautics Inc, AIAA, 2018.
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