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| Adjustable parameter analysis of an improved maximum entropy method |
| Received:November 02, 2018 Revised:February 25, 2019 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20181102002 |
| KeyWord:maximum entropy method reliability analysis transformation function probability conservation failure probability estimation |
| Author | Institution |
| 李刚 |
大连理工大学 工业装备结构分析国家重点实验室, 大连 |
| 周春晓 |
大连理工大学 工业装备结构分析国家重点实验室, 大连 ;北京宇航系统工程研究所, 北京 |
| 曾岩 |
大连理工大学 工业装备结构分析国家重点实验室, 大连 |
| 王熠煊 |
大连理工大学 工业装备结构分析国家重点实验室, 大连 |
| 汪锐琼 |
北京宇航系统工程研究所, 北京 |
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| Abstract: |
| In structural reliability analysis,the classical maximum entropy method can be improved to estimate the failure probability more accurately by introducing the transformation function with an adjustable parameter.But it is still difficult to determine the best value of the adjustable parameter.To solve this problem,in this paper the relationship between the maximum information entropies before and after the transformation is established from the probability density functions of the original and transformed performance functions by introducing the probability conservation equation.The theoretical form of the difference between the maximum entropy values before and after the transformation is also obtained.Three typical monotone nonlinear transformation functions are studied in numerical examples.It is found that the difference between maximum entropy values before and after transformation is related to the selection of the optimal adjustable parameters.When the difference between the corresponding maximum entropy values is modulated according to the changing of the adjustable parameter,a better estimation of the failure probability can be obtained by using the improved maximum entropy method with the transformation function. |