风作用下机载拖曳天线的动力学建模与分析
收稿日期: 2012-11-27
修回日期: 2013-03-19
网络出版日期: 2013-03-28
Modeling and Simulation of Trailing Antenna on Aircraft Under Wind
Received date: 2012-11-27
Revised date: 2013-03-19
Online published: 2013-03-28
建立了风作用下的机载甚低频拖曳天线动力学模型并给出了一种适合该模型的数值计算方法。根据微元法推导建立在风作用下的机载甚低频拖曳天线动力学模型，该动力学模型是一个复杂的偏微分方程组。利用微扰动方法将偏微分方程组转化为一个常微分方程组和一个简单的偏微分方程组，针对转化后的偏微分方程组，采用Galerkin方法进行离散求解。在相同的条件下，仿真结果在频率和幅值上与飞行测试结果相吻合，表明所建动力学模型是可信的。最后，以南海海域（110E，20N）2009年的平均风速轮廓为背景，研究了风作用下的拖曳天线动力学问题。仿真结果表明：在风的作用下，天线以及天线末端锥袋会发生大幅振动，通过控制载机的倾斜角可以在一定程度控制天线及天线末端锥袋的振动。
郑小洪 , 韩维 , 贾忠湖 . 风作用下机载拖曳天线的动力学建模与分析[J]. 航空学报, 2013 , 34(11) : 2565 -2571 . DOI: 10.7527/S1000-6893.2013.0180
A dynamic model of the trailing antenna under wind and its simulation method are developed based on the microelement method, which is a very complex partial differential equation. It is transformed into a governing partial equation and a simple partial differential equation by perturbation procedure. Then the simple partial differential equation is discretized to obtain the numerical solution by the Galerkin method. Under the same flight conditions, the magnitude and frequency of the oscillation between the simulation and experiment are very close, which shows the dynamic model is dependable. Under the background of the average wind speed profile of south China sea (110E, 20N) in 2009, the dynamics of the trailing antenna is researched. The simulation results show that the antenna and the end drogue vibrate by a large displacement but it can be improved by controlling the bank angle.
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