Acta Mechanica Solida Sinica

, Volume 23, Issue 2, pp 115–123 | Cite as

Modified Scheme Based on Semi-Analytic Approach for Computing Non-Probabilistic Reliability Index

  • Xuyong Chen
  • Chak-yin Tang
  • Chi-pong Tsui
  • Jianping Fan


A new computation scheme proposed to tackle commensurate problems is developed by modifying the semi-analytic approach for minimizing computational complexity. Using the proposed scheme, the limit state equations, usually referred to as the failure surface, are obtained from transformation of an interval variable to a normalized one. In order to minimize the computational cost, two algorithms for optimizing the calculation steps have been proposed. The monotonicity of the objective function can be determined from narrowing the scope of interval variables in normalized infinite space by incorporating the algorithms into the computational scheme. Two examples are used to illustrate the operation and computational efficiency of the approach. The results of these examples show that the proposed algorithms can greatly reduce the computation complexity without sacrificing the computational accuracy. The advantage of the proposed scheme can be even more efficient for analyzing sophistic structures.

Key words

semi-analytic approach non-probabilistic reliability index interval variable limit state equation monotonicity 


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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2010

Authors and Affiliations

  • Xuyong Chen
    • 1
  • Chak-yin Tang
    • 2
  • Chi-pong Tsui
    • 2
  • Jianping Fan
    • 1
  1. 1.Hubei Key Laboratory for Engineering Structrual Analysis and Safety Assessment, School of Civil Engineering and MechanicsHuazhong University of Science and TechnologyWuhanChina
  2. 2.Department of Industrial and Systems EngineeringThe Hong Kong Polytechnic UniversityHong KongChina

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