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Dynamics of variable-length tethers with application to tethered satellite deployment

机译:变长系绳的动力学及其在系留卫星部署中的应用

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The dynamics of variable-length tethers are studied using a flexible multibody dynamics method. The governing equations of the tethers are derived using a new, hybrid Eulerian and Lagrangian framework, by which the mass flow at a boundary of a tether and the length variation of a tether element are accounted for. The variable-length tether element based on the absolute nodal coordinate formulation is developed to simulate the deployment of satellite tethers. The coupled dynamic equations of tethers and satellites are obtained using the Lagrangian multiplier method. Several tethered satellite systems involving large displacements, rotations, and deformations are numerically simulated, where the tethers are released from several meters to about 1 km. A control strategy is proposed to avoid slackness of the tethers during deployment. The accuracy of the modeling and solution procedures was validated on an elevator model.
机译:使用灵活的多体动力学方法研究了可变长度系链的动力学。使用新的混合欧拉和拉格朗日框架推导了系链的控制方程式,通过该框架,可以计算出系链边界处的质量流和系链元素的长度变化。开发了基于绝对节点坐标公式的变长系绳元件,以模拟卫星系绳的部署。使用拉格朗日乘数法获得了系绳和卫星的耦合动力学方程。数值模拟了涉及大位移,旋转和变形的多个系留卫星系统,其中系链从几米释放到大约1 km。提出了一种控制策略,以避免部署过程中系绳的松弛。在电梯模型上验证了建模和求解过程的准确性。

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