• Title/Summary/Keyword: tail-equivalence method

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Design Thermal Loads In Composite Box Girder Bridges (합성형교량의 설계온도하중)

  • Chang, Sung Pil;Im, Chang Kyun
    • Journal of Korean Society of Steel Construction
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    • v.10 no.3 s.36
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    • pp.537-551
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    • 1998
  • The intention of this paper is to provide realistic values of design thermal loads applicable to composite box girder bridges on the basis of the statistical analysis of long-term measured temperature data. For this purpose, temperatures were recorded at a newly constructed composite box girder bridge during about 20 months. Before analyzing the extreme values, major thermal loading parameters that characterize the temperature profile are defined, and a seasonal behavior of those is examined in detail. The limit distributions of the thermal loading parameters are then determined by the tail-equivalence method, and the thermal loading parameters corresponding to selected return period are calculated. Finally, the results are compared to the specifications suggested in a current design code for thermal loads, and it is concluded that the current design code is unsuitable for representing the self-equilibrated thermal stresses in composite bridges, and the horizontal temperature difference which is not suggested in current design code should be taken Into account in particular cases.

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Estimation of Design Thermal Loads on PSC Box Girder Bridges by Statistical Extrapolation of Analytical Data (해석 데이터의 통계적 방법을 통한 PSC 박스거더교의 설계 온도 하중 추정)

  • 황의승;임창균;이영수
    • Proceedings of the Korea Concrete Institute Conference
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    • 2000.04a
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    • pp.497-500
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    • 2000
  • This paper describes the procedures to estimate for the design thermal loads on prestressed concrete box girder bridges on th basis of the extreme analysis of the temperature data obtained from long-term thermal analyses. Long-term thermal analyses using the environmental data for three years were conducted, and the extreme distributions of th thermal loads are then determined by the tail-equivalence method, and the thermal loads corresponding to selected return period are calculated. Finally, the results are compared to the specifications suggested in a current design code for thermal loads.

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Analytical Approximation Algorithm for the Inverse of the Power of the Incomplete Gamma Function Based on Extreme Value Theory

  • Wu, Shanshan;Hu, Guobing;Yang, Li;Gu, Bin
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.15 no.12
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    • pp.4567-4583
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    • 2021
  • This study proposes an analytical approximation algorithm based on extreme value theory (EVT) for the inverse of the power of the incomplete Gamma function. First, the Gumbel function is used to approximate the power of the incomplete Gamma function, and the corresponding inverse problem is transformed into the inversion of an exponential function. Then, using the tail equivalence theorem, the normalized coefficient of the general Weibull distribution function is employed to replace the normalized coefficient of the random variable following a Gamma distribution, and the approximate closed form solution is obtained. The effects of equation parameters on the algorithm performance are evaluated through simulation analysis under various conditions, and the performance of this algorithm is compared to those of the Newton iterative algorithm and other existing approximate analytical algorithms. The proposed algorithm exhibits good approximation performance under appropriate parameter settings. Finally, the performance of this method is evaluated by calculating the thresholds of space-time block coding and space-frequency block coding pattern recognition in multiple-input and multiple-output orthogonal frequency division multiplexing. The analytical approximation method can be applied to other related situations involving the maximum statistics of independent and identically distributed random variables following Gamma distributions.