| 极值Ⅰ型-正态模式结构可靠性当量正态设计法 |
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| 引用本文： | 郑道钦.极值Ⅰ型-正态模式结构可靠性当量正态设计法[J].福建师范大学学报(自然科学版),1987(2). |
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| 作者姓名： | 郑道钦 |
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| 作者单位： | 福建师范大学数学系 |
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| 摘 要： | 本文给出了与R.Rackwitz & B.Fiessler不同的当量正态变量的定义,利用当量正态方法,将极值Ⅰ型—正态模式转换成当量正态—正态模式,从而解决了结构可靠性设计问题,得到了极值Ⅰ型—正态模式结构可靠性当量正态设计法的可靠系数的表达式,并用两种模拟法对极值Ⅰ型—正态模式结构可靠度的理论值与设计值进行比较,得到了2070组不同参数的极值Ⅰ型—正态模式结构可靠度的理论值与设计值的相对误差,其最大误差不超过千分之九;最后,对R.Rackwitz & B.Fiessler和我们的两种不同的当量正态方法进行模拟比较。
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| 关 键 词： | 极值Ⅰ型—正态模式 可靠性设计 |
Design of Equivalent Normal Random Variable of Structural Reliability for Extreme Value Distribution-Normal Distribution Model |
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| Zheng Dao-qin.Design of Equivalent Normal Random Variable of Structural Reliability for Extreme Value Distribution-Normal Distribution Model[J].Journal of Fujian Teachers University(Natural Science),1987(2). |
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| Authors: | Zheng Dao-qin |
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| Institution: | Zheng Dao-qin Department of Mathematics |
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| Abstract: | In this paper, we give another definition of equivalent normal random variable different from that of R. Rackwitz and B.Fissler. By using this concept,we change the Extreme Value Distribution-Normal Distribution Model into the Normal Distribution-Normal Distribution Model and get a method for the design of structural reliability. We find out the explicit expression of reliable coefficient in that problem. By method of imitation, we calculate 2070 different parameter, get the relative errors of their designed values of structural reliability with accurate values of structural reliability. We satisfactorily find that the greatest relative error is less than nine-thousand. |
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| Keywords: | Design of reliability Extreme value-normal model |
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