Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (11): 1277-1281.
孙宗光, 赵俭斌
SUN Zong-guang, ZHAO Jian-bin
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.
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