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| The ANCF element and implicit iterative formulation for highly flexible beam/cable |
| Received:April 10, 2020 Revised:August 17, 2020 |
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| DOI：10.7511/jslx20200410003 |
| KeyWord:highly flexible beam/cable absolute nodal coordinate formulation nodal equivalent force tangent stiffness matrix hinge/rigid connection |
| Author | Institution |
| 罗鑫 |
四川大学 建筑与环境学院, 成都 ;四川中锐信息技术有限公司, 成都 |
| 魏泳涛 |
四川中锐信息技术有限公司, 成都 |
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| Abstract: |
| To simulate deformation and large overall motion for highly flexible beam/cable structures,an implicit dynamic iteration formulation for cables is presented based on ANCF(Absolute nodal coordinate formulation) and HHT (Hilber-Hughes-Taylor) integration method.Concise expressions of nodal equivalent forces are obtained,and all tangent stiffness matrices are derived further.Hinge joints and rigid connections are handled by employing the penalty method.A vibrating string,a double pendulum,a T-shape pendulum and a flexible cable are simulated.Numerical results are in good agreement with the analytical solutions and the reported data,which verifies the validity of the presented method. |