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力学与实践 ›› 2004, Vol. 26 ›› Issue (3): 0-0.doi: 10.6052/1000-0992-2003-132

• 应用研究 •    

基于有限元理论绘制等高线的新方法

郭旻 刘继明   

  1. 青岛市建筑工程学院土木系 青岛建筑工程学院土木系 青岛 266033
  • 收稿日期:2003-01-17 修回日期:2003-08-08 出版日期:2004-06-10 发布日期:2004-06-10

USING FINITE ELEMENT METHOD TO DRAW CONTOUR

  • Received:2003-01-17 Revised:2003-08-08 Online:2004-06-10 Published:2004-06-10

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.

关键词: 等高线, 地形图, 样条插值, 薄板比拟法, 有限元法, ANSYS

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

Key words: contour , large scale relief maps, interpolating spline, lamella analogue, finite element method, ANSYS