Effects of the Number of Representative Points on the Analysis Accuracy of the Probability Density Evolution Method

MEI Zhen; GUO Zi-xiong; HUANG Qun-xian; LIU Yang

doi:10.3879/j.issn.1000-0887.2016.01.008

Volume 37 Issue 1

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MEI Zhen, GUO Zi-xiong, HUANG Qun-xian, LIU Yang. Effects of the Number of Representative Points on the Analysis Accuracy of the Probability Density Evolution Method[J]. Applied Mathematics and Mechanics, 2016, 37(1): 97-106. doi: 10.3879/j.issn.1000-0887.2016.01.008

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Effects of the Number of Representative Points on the Analysis Accuracy of the Probability Density Evolution Method

doi: 10.3879/j.issn.1000-0887.2016.01.008

¹College of Civil Engineering, Huaqiao University, Xiamen, Fujian 361021, P.R.China;²Key Laboratory of Structural Engineering and Disaster Prevention of Fujian Province, Xiamen, Fujian 361021, P.R.China

Funds: The National Natural Science Foundation of China(51208219)

Received Date: 2015-09-06
Rev Recd Date: 2015-11-13
Publish Date: 2016-01-16

Abstract

Abstract

3 sets of random ground motions with different-size samples were generated based on a physical stochastic ground motion model and a strategy of selecting points via sphere of contact. Then the stochastic response analysis of a model structure subjected to the generated ground motions was carried out with the probability density evolution method (PDEM). Through comparison of the results from the stochastic seismic response analysis, the effects of the number of representative points on the analysis accuracy of the PDEM were investigated. Numerical results show that a relatively small number of representative points selected under the strategy of sphere of contact yield fairly accurate results of the 1st- and 2nd-order statistical characteristics of structural responses. At the same time, it is pointed out that a small sample size may lead to a certain analytical errors of the response probability distribution at each time point. Therefore, the number of representative points in the PDEM should be reasonably determined according to the number of random variables of the related stochastic dynamic system, the method of selecting representative points and the expected calculation accuracy.

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References(18)

References

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