力学与实践 ›› 2010, Vol. 32 ›› Issue (2): 125-127.DOI: 10.6052/1000-0879-2008-602

• 教育研究 • 上一篇    下一篇

利用四点共圆作图法构建复杂滑移线场

邬移华 罗文波 彭炎荣   

  1. 湖南工业大学机械工程学院 湘潭大学 土木工程与力学学院
  • 收稿日期:2008-12-15 修回日期:2009-06-09 出版日期:2010-04-08 发布日期:2010-04-08

The Application of an Orthogonal Net of Circles to Construction of the Complex Slip-Lines Fields

  • Received:2008-12-15 Revised:2009-06-09 Online:2010-04-08 Published:2010-04-08

摘要: 论证了作图法的几何原理------四点共圆. 介绍了四点共圆作图法在计算机辅助下的求解 和构建复杂滑移线场的过程. 并以有心扇形场为例,演示了该方法的解题步骤. 通过实例计 算,将该方法的求解结果与作者用数值积分法和矩阵算子法的求解结果作了比较,证明该方 法计算精度高、绘图质量好.

关键词: 有心扇形场, 滑移线场, 四点共圆法

Abstract: Abstract: Taking the centered-fan fields for example, the application of an orthogonal net of circles for construction of the complex slip-line fields are discussed. The results of this method are compared with the results of the numerical method and the matrix-operator method. The calculation shows that result of above three methods proffers a good approximation.

Key words: Centered-fan field, Slip-lines field, Orthogonal net of circles