基于有限元理论绘制等高线的新方法

USING FINITE ELEMENT METHOD TO DRAW CONTOUR

  • 摘要: 由于传统绘制等高线的方法存在很多的缺点,如相邻等高线不协调,等高线交叉重叠等. 为了克服这些现象,提出了一种根据地形特征点自动绘制等高线的高效、简便、实用的新方法,其基本思想是建立在样条函数的力学模型基础上,利用弹性薄板的竖向位移比拟地形特征点的标高,从而利用有限元,高精度地绘制出等高线. 还通过两个算例,利用有限元通用程序ANSYS进行绘制等高线,来进一步说明该方法的实用性.

     

    Abstract: The traditional method to draw contours has somedisadvantages, such as adjacent contours are not well fitted and contoursintersect and overlap each other. In order to overcome them, another simple but highly effective method is proposed in this paper. This methodis based on mechanical model of spline function. The principle isthat the vertical displacements of elastic lamella grids theelevation of land key points. Consequently we can use the finite elementmethod to draw contours accurately. Through two examples,the practicability of this method is illuminated by using finite element general programANSYS to draw contour. This method can be widely used in drawing contours oflarge scale relief maps.

     

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