索膜结构中考虑摩擦的索滑移分析

以第一摩擦定律为理论基础,首先利用空间三角形膜单元并根据材料力学点的应力应变关系推导出在局部坐标系下索元对膜元的拉力公式;其次根据索与膜的位置关系推导出索膜间摩擦力的公式;然后提出了考虑摩擦时索滑移的判断方法;最后利用荷载增量法与Newton-Raphson法相结合的迭代求解方法,并结合索滑移的算法求解了一道算例,得到在索与膜之间的摩擦力虽对结构的静力影响不大,但摩擦力的存在却影响着膜褶皱出现的数量和索的下料长度,所以设计时应考虑摩擦力的影响等结论。

RESEARCH ON SLIDING CABLE OF A CABLE- MEMBRANE STRUCTURE

The problem of the friction between cable and membrane was caried on research.The paper us- ing the first friction law as the theories foundation made use of the space triangle membrane elements to deduce tension formula of cable elements to membrane elements according to the relationship of stress and strain in the material mechanics and to make friction formula according to the postition of the cable and the membrane.It deductions the judgment method for cable sliding when friction is considered.An example was solved made use of the load increment method which unifies the Newton-Raphson method and the arithmetic of cable sliding. It draws conclusions such as friction's influence to a structure of static performance is not large between the cable and the membrane,but friction's presence influences the number of membranes'wrinkle and baiting length of cables,so friction's influence should be considered in design.