Based on the relationship between ANCF cable element and Bézier/B-spline curve, the concept of piecewise ANCF cable element is proposed. The recursive form of the element shape function with arbitrary number of inner nodes is presented. The continuity condition of the element on a inner node can be automatically included in the selection of nodal vectors and definition of the element shape function. The elastic force and its Jacobian matrix with respect to the nodal coordinates are derived. The new element is used to model the high voltage wire when the rupture accident happens. Only one element is required to model the entire wire. As a result, the integration and the discretization between the finite elements and the whole system can be omitted. The static analysis is performed to obtain the nodal coordinate when the element achieves equilibrium under the external force. Then the nodal coordinate is used as the initial value in the dynamic analysis so the effect of the tensile force can be accounted for. The numerical examples are proposed to demonstrate the feasibility of the element. The result of the high voltage wire is also presented.
YU Zuqing
,
LAN Peng
,
LI Kunkun
,
LU Nianli
. Dynamic Simulation of Electrical Wire Based on the Piecewise Absolute Nodal Coordinate Formulation Cable Element[J]. Journal of Mechanical Engineering, 2018
, 54(19)
: 70
-77
.
DOI: 10.3901/JME.2018.19.070
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