【摘要】：針對(duì)標(biāo)準(zhǔn)區(qū)間運(yùn)算易引發(fā)誤差爆炸,常規(guī)的仿射運(yùn)算沒(méi)能考慮計(jì)算過(guò)程中出現(xiàn)的使用同一噪聲元表達(dá)的一次項(xiàng)、二次項(xiàng),乃至多次項(xiàng)、非線性項(xiàng)之間存在相關(guān)性而造成的計(jì)算誤差,提出以仿射運(yùn)算為主體,在遇到這種相關(guān)項(xiàng)時(shí),借助區(qū)間運(yùn)算計(jì)算出相關(guān)項(xiàng)總體取值的上下界,再利用上下界信息,引入新噪聲的仿射型代替它們。這種借助區(qū)間運(yùn)算對(duì)常規(guī)的仿射運(yùn)算進(jìn)行改進(jìn)的方法,應(yīng)用于區(qū)間模型非概率可靠性指標(biāo)的計(jì)算結(jié)果,精度高于區(qū)間運(yùn)算和常規(guī)的仿射運(yùn)算,有較強(qiáng)的實(shí)際意義。
[Abstract]:In view of the error explosion caused by standard interval operations, conventional affine operations fail to take into account the terms of one, two, or even more times, which are expressed by the same noise element in the course of calculation. The calculation error caused by the correlation between the nonlinear terms is put forward. When the affine operation is the main body, the upper and lower bounds of the total value of the related items are calculated by the interval operation, and the upper and lower bound information is used. Affine types of new noises are introduced to replace them. The method of improving the conventional affine operation with interval operation is applied to the calculation results of non-probabilistic reliability index of interval model. The accuracy of the method is higher than that of interval operation and conventional affine operation, so it is of great practical significance.
【作者單位】： 華東交通大學(xué)交通運(yùn)輸與物流學(xué)院;中南大學(xué)交通運(yùn)輸工程學(xué)院;
【基金】：國(guó)家自然科學(xué)基金資助項(xiàng)目(51465017) 江西省普通本科高校中青年教師發(fā)展計(jì)劃訪問(wèn)學(xué)者專項(xiàng)資金資助項(xiàng)目(2016-08)
【分類號(hào)】：TB114.3

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