A New Reliability Method Combining Kriging and Probability Density Evolution Method


Abstract eng:
Dynamic response analysis of non-linear structures involving random parameters under earthquakes has been an important and challenging problem for a long time. As a newly developed method, probability density evolution method (PDEM) is capable of capturing the instantaneous probability density function (PDF) of stochastic dynamic responses of structures. However, as the demand for accuracy of numerical model increase, engineering problems involve more and more complex computer codes and the calculating of the reliability of structure may require very time-consuming computations. Therefore, minimizing the number of calls to the numerical models become one of the most important challenges in this area. Many response surface methods (RSM) such as Least Square Regression, Polynomial Chaos, Support Vector Machine are introduced to solve this problem. Recently, the Gaussian process regression (GPR) or so called Kriging method has received increasing attention in the field. Unlike most response surface methods, Kriging method is an exact interpolation method and capable of giving the confidence of its result. The aim of this paper is to propose a new approach named K-PDEM based on probability density evolution method and Kriging metamodel to assess the reliability of structure under earthquake. The result shows that the new method is efficient and accurate for calculating the reliability of structure especially when the number of calls to numerical model is small.

Contributors:
Conference Title:
Conference Title:
16th World Conference on Earthquake Engineering
Conference Venue:
Santiago (CL)
Conference Dates:
2017-01-09 / 2017-01-13
Rights:
Text je chráněný podle autorského zákona č. 121/2000 Sb.



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 Record created 2017-01-18, last modified 2017-01-18


Original version of the author's contribution as presented on USB, paper 624.:
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