楔體穩(wěn)定性概率分析方法及應(yīng)用
發(fā)布時間:2018-07-12 16:32
本文選題:楔體 + 不確定性; 參考:《哈爾濱工業(yè)大學(xué)學(xué)報》2017年12期
【摘要】:為綜合分析參數(shù)具有多種不確定性的楔體的穩(wěn)定性,提出一種基于Fisher最優(yōu)分割法和盲數(shù)理論的楔體穩(wěn)定性概率分析方法,該方法通過構(gòu)造基于Fisher最優(yōu)分割法的楔體穩(wěn)定性盲數(shù)評價模型,綜合考慮楔體參數(shù)的多種不確定性,確定楔體穩(wěn)定性概率分布.文章構(gòu)建了單滑面與雙滑面的不確定性楔體穩(wěn)定性盲數(shù)評價模型,將該模型應(yīng)用于經(jīng)典的雙滑面楔體穩(wěn)定性分析之中,并與傳統(tǒng)的均值安全系數(shù)、數(shù)值模擬、蒙特卡洛抽樣(MCS)方法的結(jié)果進(jìn)行對比,結(jié)果表明:均值安全系數(shù)法和swedge數(shù)值分析只能給出一個固定的安全系數(shù),準(zhǔn)確度較低,不能考慮楔體的失穩(wěn)概率,基于Fisher最優(yōu)分割法和盲數(shù)理論的楔體穩(wěn)定性分析方法安全系數(shù)累計頻率與公認(rèn)比較準(zhǔn)確的蒙特卡洛抽樣方法幾乎重合,并且更加的高效簡便,驗證了該方法的可靠性與有效性.最后,將該方法應(yīng)用于興城某楔體的穩(wěn)定性評價,為楔體的防治提供數(shù)據(jù)支撐.
[Abstract]:In order to synthetically analyze the stability of wedge with various uncertainties, a probability analysis method of wedge stability based on Fisher optimal segmentation method and blind number theory is proposed. By constructing a blind number evaluation model of wedge stability based on Fisher's optimal segmentation method, the probability distribution of wedge stability is determined by considering various uncertainties of wedge parameters. In this paper, a blind number evaluation model for the stability of uncertain wedges with single and double sliding surfaces is constructed. The model is applied to the classical stability analysis of double sliding wedges, and compared with the traditional mean safety factor and numerical simulation. The results of Monte Carlo sampling (MCS) method are compared. The results show that the mean safety factor method and the swedge numerical analysis can only give a fixed safety factor, and the accuracy is low, and the probability of instability of the wedge can not be considered. The cumulative frequency of the safety factor of the wedge stability analysis method based on Fisher's optimal segmentation method and blind number theory almost coincides with the accepted accurate Monte Carlo sampling method and is more efficient and simple. The reliability and effectiveness of the method are verified. Finally, the method is applied to evaluate the stability of a wedge in Xingcheng.
【作者單位】: 吉林大學(xué)建設(shè)工程學(xué)院;
【基金】:國家自然科學(xué)基金青年基金(41202197);國家自然科學(xué)基金重點項目(41330636)
【分類號】:TU457
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