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首页> 外文会议>第一届现代铁路创新与可持续发展国际会议（The First International Symposium on Innovation amp; Sustainability of Modern Railway） >ADAPTABILITY OF INTERPOLATED CURVES TO THE DISPLACEMENT-BASED METHOD FOR RELIABILITY ANALYSIS OF TUNNEL LINING OF SHOTCRETE
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ADAPTABILITY OF INTERPOLATED CURVES TO THE DISPLACEMENT-BASED METHOD FOR RELIABILITY ANALYSIS OF TUNNEL LINING OF SHOTCRETE

机译：内插曲线对位移法可靠度分析的适应性

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摘要

In the alleged displacement-based method proposed earlier by the same authors of this paper, a circle has been used to interpolate the central axis of an arch-like lining segment at a tunnel under construction. It is obvious that different types of interpolated curves will give different values of arc length and radius of curvature of the segment. This paper continues the study by making comparison upon four curves: circle, parabola, hyperbola and cosine curve. First of all, derived out are formulae to calculate the arc length and the radius of curvature of the central axis of the lining. Then, the influences of curves on changes in the arc length and the radius of curvature are probed. Thirdly, the effect of curves on reliability index is investigated through three case studies. Finally, the adaptability of the four curves is observed. The results show that parabola is the most suitable one for the displacement-based method, following with cosine curve being the second and then circle the third, while hyperbola is unfit for the method.
机译：在本文的同一作者之前提出的所谓的基于位移的方法中，圆已被用于内插在施工隧道中的拱形衬砌段的中心轴。显然，不同类型的插值曲线将给出该段的弧长和曲率半径的不同值。本文通过比较四个曲线（圆，抛物线，双曲线和余弦曲线）来继续研究。首先，导出公式来计算弧长和衬里中心轴的曲率半径。然后，探究曲线对弧长和曲率半径变化的影响。第三，通过三个案例研究了曲线对可靠性指标的影响。最后，观察到这四个曲线的适应性。结果表明，抛物线是最适合基于位移的方法，其次是余弦曲线，然后是第三圆，而双曲线不适合该方法。

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