Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (11): 1277-1281.

• 论文 • 上一篇    下一篇

A FORM FUNCTION METHOD FOR FORM FINDING OF TENSION STRUCTURE

孙宗光, 赵俭斌   

  1. Department of Civil Engineering, Shenyang Architecture and Civil Engineering Institute, Shenyang 110015, P R China
  • 收稿日期:1999-04-02 修回日期:2000-09-10 出版日期:2000-11-18 发布日期:2000-11-18
  • 基金资助:
    the Science and Technology Foundation of Liaoning Province(962121)

A FORM FUNCTION METHOD FOR FORM FINDING OF TENSION STRUCTURE

SUN Zong-guang, ZHAO Jian-bin   

  1. Department of Civil Engineering, Shenyang Architecture and Civil Engineering Institute, Shenyang 110015, P R China
  • Received:1999-04-02 Revised:2000-09-10 Online:2000-11-18 Published:2000-11-18
  • Supported by:
    the Science and Technology Foundation of Liaoning Province(962121)

摘要: A new form function involving parameters β1 is presented. On the basis of the form function, an initial form of tension structure was found by interpolating through the control points on boundary of the structure. The form function can be controlled by changing β1 according to the pre-tension and the boundary of the structure. The final form of a tension structure should be an equilibrium system under the pre-tension. To examine the nature of the initial form, the FEM was used. Many examples show that the initial form gives a very ideal result for equal or unequal pre-tension in two directions of the structure. In general cases, there is little difference between the initial form and the final one.

Abstract: A new form function involving parameters β1 is presented. On the basis of the form function, an initial form of tension structure was found by interpolating through the control points on boundary of the structure. The form function can be controlled by changing β1 according to the pre-tension and the boundary of the structure. The final form of a tension structure should be an equilibrium system under the pre-tension. To examine the nature of the initial form, the FEM was used. Many examples show that the initial form gives a very ideal result for equal or unequal pre-tension in two directions of the structure. In general cases, there is little difference between the initial form and the final one.

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