| Project/Area Number |
17560501
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Building structures/materials
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| Research Institution | Nagoya Institute of Technology |
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Principal Investigator |
ZHAO Yan-gang Nagoya Institute of Technology, Graduate School, Assoc. Prof. (50283479)
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| Project Period (FY) |
2005 – 2007
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| Project Status |
Completed (Fiscal Year 2007)
|
| Budget Amount *help |
¥3,470,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥270,000)
Fiscal Year 2007: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2006: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 2005: ¥1,500,000 (Direct Cost: ¥1,500,000)
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| Keywords | structural safety / reliability analysis / performance function / failure probability / probability distribution |
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| Research Abstract |
In structural reliability analysis, the uncertainties related to resistance and load are generally expressed as random variables that have known cumulative distribution functions. However, in practical applications, the cumulative distribution functions of some random variables may be unknown, and the probabilistic characteristics of these variables may be expressed using only statistical moments.
In the present study, in order to conduct structural reliability analysis without the exclusion of random variables having unknown distribution, the third-order polynomial normal transformation technique using the first four central moments is investigated, and an explicit fourth-moment standardization function is proposed. Using the proposed method, the normal transformation for random variables with unknown cumulative distribution functions can be realized without using the Rosenblatt transformation. Through the numerical examples presented, the proposed method is found to be sufficiently accurate in its inclusion of the random variables which have unknown cumulative distribution functions, in structural reliability analyses with minimal additional computational effort.
Using the proposed method, a simple formula for determining load and resistance factors is developed and reliability analysis for structural system has been conducted.
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