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机构地区:[1]南昌工程学院土木工程系,江西南昌330099 [2]哈尔滨工业大学航天学院,黑龙江哈尔滨150001
出 处:《工程力学》2009年第A01期158-162,共5页Engineering Mechanics
基 金:国家自然科学基金项目(50878064);江西省教育厅科学技术研究项目(GJJ08460);南昌工程学院青年基金科技项目(2008KJ007);江西省科技计划项目(2007CC2000)
摘 要:针对张拉膜结构施工过程中索在膜套中(或膜表面上)滑移的问题进行了分析。首先利用空间两节点直线索单元推导了连续索滑移刚度;然后以摩擦第一定律为理论基础,根据材料力学点的应力-应变关系推导了索元对膜元的拉力公式,并给出了索膜间摩擦力公式;其次提出了考虑摩擦时索滑移的算法;最后求解了一道算例,得到如下结论:在相同荷载作用下,当考虑索无摩擦滑移后,索受力均匀,脊索索力整体增大;当考虑索有摩擦滑移后,索力不均匀且索力有所减小,但对索力的影响较小,摩擦力对脊索的影响较谷索的大。膜最大主应力有所减小,但摩擦力对膜最大主应力的影响较小。This paper researches on the friction between the cable and membrane in the construction of tensioned membrane structures. It uses two-node linear space cable elements to deduce the stiffness of a new continuous cable element. Using the first friction rule as the theory's foundation, it deduces a tension formula between cable elements and membrane elements according to the relationship of stress and strain of material mechanics and the friction formula between cable elements and membrane elements. Then it deducts the judgment method of the cable sliding when the friction is considered. At last, one example is solved and some conclusions are as follows: under the same loads, cables' stress is uniform and ridge cables' stress overall increase when considering cables' sliding without friction. When considering cables' sliding with friction, the stress is uneven and decreasing, but its impact to cables' stress is smaller. The impact of friction is bigger of ridge cables than valley cables. Membrane's maximum principal stress is decreased, but the friction on the membrane has less effect on maximum principal stress.
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