Finite element formulation for modeling sliding cable elements
Finite element formulation for modeling sliding cable elements
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DOI：
10.1016/j.compstruc.2003.08.006
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发表时间：
2004
影响因子：
4.7
通讯作者：
B. Zhou;M. Accorsi;J. Leonard
中科院分区：
文献类型：
--
作者：
B. Zhou;M. Accorsi;J. Leonard
本文提出了一种“滑动索单元”，用以解决约束索单元连续通过指定移动节点的一般问题。这些元素可以用于各种各样的应用，并在目前的工作中，用于模拟降落伞系统中的各种功能。利用虚功原理和全拉格朗日列式推导了单元内力矢量、切线刚度矩阵、时变质量矩阵和体积力。单元方程在一个几何非线性，瞬态隐式有限元程序中实现。一个搜索算法的开发，以跟踪元素的相对运动，这是执行之前，制定的元素方程的每次迭代。通过两个算例验证了新单元的力学性能和搜索算法的有效性。给出了几个应用于降落伞系统的滑动索单元的例子。
“Sliding cable elements” are developed to solve the general problem of constraining a string of cable elements to continuously pass through a prescribed moving node. These elements can be used for a wide variety of applications and in the current work are used to model various features in parachute systems. The principle of virtual work and total Lagrange formulation are used to derive the element internal force vector, tangent stiffness matrix, and time-dependent mass matrix and body forces. The element equations are implemented in a geometrically nonlinear, transient implicit finite element program. A searching algorithm is developed to track the relative movement of the elements, which is performed each iteration prior to formulation of the element equations. Two problems with analytical solutions are performed to validate the mechanical behavior of the new element and the searching algorithm. Several examples are presented where the sliding cable elements are used in parachute systems.