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Efficient Reliability Analysis Using Multipoint Response Surface Method

[+] Author Affiliations
B. N. Rao, Rajib Chowdhury, A. Meher Prasad

Indian Institute of Technology - Madras, Chennai, Tamilnadu, India

Paper No. PVP2007-26793, pp. 335-347; 13 pages
doi:10.1115/PVP2007-26793
From:
  • ASME 2007 Pressure Vessels and Piping Conference
  • Volume 7: Operations, Applications and Components
  • San Antonio, Texas, USA, July 22–26, 2007
  • Conference Sponsors: Pressure Vessels and Piping Division
  • ISBN: 0-7918-4285-1 | eISBN: 0-7918-3804-8
  • Copyright © 2007 by ASME

abstract

In the reliability analysis of complex structural system, to approximate the performance function accurately, the most common approach is Response Surface Method. Response surface is usually constructed around the design point, for better approximation of the performance function. Existence of multiple design points accelerates the difficulty of approximating the performance function. This paper presents i) a simplified approach for identifying the existence of multiple design points/or regions on the limit surface which have significant contributions to the failure probability and ii) a newly developed concept of multipoint response surface. Identification of multiple design points is based on a weight function, which can provide the weighting index of sampling points. Failure probability can be estimated by constructing multipoint response surface around the identified pints. In addition to the effort of identifying the region of importance, the method requires a small number of exact or numerical evaluations of the performance function at selected inputs. Numerical examples show the accuracy and efficiency of the proposed approach.

Copyright © 2007 by ASME

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