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作为动态规划法与随机搜索法相结合进行公路线形优化设计的应用之一,本文提出了在山区狭长地带范围内对公路平面线形进行优化的有效方法。本方法选用了简单实用的带状方格网式数字地形模型。线形优化的目标函数采用以主导坡度控制时的“理想坡度线”作为纵断面设计线的假想工程量或假想工程费用。函数的状态变量和决策变量为平面转角点座标。一般情况下,优化的计算单元包含了圆曲线和缓和曲线的构成,并选用各转角点的直缓点作为分段点。此外,文中还列举了进行公路平面和纵断面线形优化前后的算例比较与成果分析。算例表明,采用本方法进行山区公路平面线形优化通常能缩短路线,增大平曲线半径和提高路线设计纵坡的均匀性,并明显降低工程造价。
As one of the applications of dynamic programming and stochastic search to the optimization of highway alignment, this paper presents an effective method to optimize the alignment of the highway in the narrow strip of mountainous area. This method uses a simple and practical ribbon mesh digital terrain model. The objective function of linear optimization adopts the “ideal slope line” when the dominant slope control is adopted as the hypothetical engineering amount or the hypothetical engineering expense of the longitudinal section design line. The function’s state variables and decision variables are the coordinates of the plane corner points. Under normal circumstances, the optimal calculation unit contains a circular curve and the composition of the easing curve, and the use of each corner of the straight ramp as the point of segmentation. In addition, the article also lists the examples of comparison and analysis of the results before and after the optimization of the line shape of the highway plane and longitudinal section. The example shows that the optimization of the plane shape of the mountain highway by this method can usually shorten the route, increase the radius of the flat curve and improve the uniformity of the longitudinal slope of the route design, and obviously reduce the construction cost.