为克服离散化模型弊端，使线缆能适应航天器内复杂空间约束工况，基于弹性细杆思想，提出含空间约束的航天器线缆力学建模方法建立线缆连续型力学模型。通过线缆惯性坐标系与局部坐标系描述线缆空间位置与形态，推导考虑线缆自重与空间约束作用的静力平衡方程，分析布线过程中典型空间约束工况，并构建无约束、端点约束、接触面约束及卡箍约束下线缆力学模型。用数值方法对典型约束工况下线缆力学模型进行计算与分析，获得线缆在无约束、接触面约束及卡箍约束下的受力规律。结果表明，布线过程中合理组合卡箍约束与接触面约束可有效提高线缆的力学性能，从而验证所建模型的普适性与可行性。
Abstract
In order to overcome drawbacks of the discrete model and adapt to the complex spatial constraints in spacecraft, a mechanic modeling method of spacecraft cable considering spatial constraints is proposed based on thin elastic rod. And continuous mechanic model of the cable is established. The spatial position and attitude of the cable are described by inertial coordinate system and local coordinate system. And then, static equilibrium equation of the cable considering deadweight and spatial constraints is deduced. Typical conditions of space constraints in the routing process are analyzed. Furthermore, mechanic models of the cable with none constraint, endpoint constraint, contact surface constraint and clamp constraint are established, and they are solved and analyzed using the numerical method. Regularities of forces of the cable with none constraint, contact surface constraint and clamp constraint are obtained. The results show that mechanic properties of the cable can be improved effectively by combining the clamp constraint and contact surface constraint reasonably in the routing process. Universality and feasibility of the model are verified. Therefore, conclusions have important academic value and engineering significance to the mechanic modeling of the flexible cable and routing process.
关键词
柔性线缆 /
力学建模 /
空间约束 /
仿真分析
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Key words
flexible cable /
mechanic modeling /
spatial constraints /
simulation analysis
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