Studying Non-vector Kinematics of Cold Axisymmetric Vector Exhaust Nozzle
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摘要: 轴对称矢量喷管是一种机械收扩式推力矢量喷管。首先,应用解析几何法对冷态轴对称矢量喷管非矢量状态进行了A8喉道和A9喷口面运动学精确建模。其次,通过构建三维实体、ADAMS与MATLAB数据交换,对模型进行了动态仿真分析,验证了结构设计的合理性以及所建模型用于控制喷口面积的准确性。研究结果表明:喷口面积绝对误差最大值仅为-3.7 mm2,相对误差均值为-0.045%,说明所建立的数学模型能为轴对称矢量喷管控制及仿真提供准确的理论依据。Abstract: An axisymmetric vector exhaust nozzle is a kind of mechanically retractable thrust vector nozzle. First, with the analytic geometry method, the kinematics models of the A8 throat and the A9 nozzle area are accurately established for the non-vector state of the cold axisymmetric vector exhaust nozzle. Second, by building a three-dimensional entity and through the ADAMS and MATLAB data exchange, the dynamic simulation analysis of the kinematics models is carried out, the rationality of structural design is validated and the accuracy of the nozzle area is controlled. The results show that the maximum absolute error in the nozzle area is only -3.7 mm2 and that the mean relative error is only -0.045%, indicating that the kinematics model can provide an accurate theoretical basis for the control and simulation of the axisymmetric vector exhaust nozzle.
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Key words:
- axisymmetric vector exhaust nozzle /
- kinematics /
- relative error /
- models /
- A8 throat /
- A9 nozzle area /
- dynamic simulation /
- absolute error
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表 1 各部分绝对误差最大值及相对误差均值
名称 绝对误差最大值 相对误差均值 角度α 0.027° 0.277% 末端位置xE′ -0.009 mm -0.007% 末端位置yE′ -0.017 mm -0.269% 距离Rm -0.017 mm 0.029% 喷口面积Sz -3.7 mm2 -0.045% -
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