缆索吊装系统有限元分析中的滑轮单元

CABLE-PULLEY ELEMENT IN FINITE ELEMENT ANALYSIS OF CABLEWAY ERECTION SYSTEM

  • 摘要: 为精确模拟结构中的滑轮,建立了滑轮支承一段索的单元,它考虑了滑轮的半径. 该``滑轮单元''的中间节点在滑轮的中心,另两个节点为索段位于滑轮两侧的端点. 新单元通过自动调整索在滑轮两侧的长度,使单元达到平衡状态. 单元算法的推导基于有限元分析的基本原理,并利用了处于平衡状态时单元内力之间的关系. 介绍新单元的推导过程,算例验证了它的正确性,并显示了其在含有滑轮索结构有限元分析中的高效性和方便性.

     

    Abstract: In order to model the pulley in structures, a new element is developed for the pulley and its supported cable segment, with the radius of pulley taken into consideration. This new three-node element, which is called the pulley element, takes the center of the pulley as the middle node, and the cable ends at each side of the pulley as the other two nodes. The new element simplifies computations by automatically adjusting the cable on each side of the pulley to maintain equilibrium. The derivation is based on the basic principles of finite element analysis, and the relation of the forces in the element at the equilibrium state is used. The related algorithms are described, and examples confirm their validity. The new element can be incorporated into conventional finite element analysisschemes. The final example shows the effectiveness and simplicity in of using the new element structural analysis of cable structures with pulleys.

     

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