基于Galerkin法的机载甚低频拖曳天线振动分析

Analysis of Vibration of Trailing Antennaon an Aircraft Based on Galerkin Method

摘要:

通过对拖曳天线运动状态及其受力进行分析,建立了其动力学模型；针对模型复杂的非线性和耦合性,在考虑天线旋转平衡时构型的基础上,采用Galerkin法研究求解了其末端锥袋的非线性振动。通过仿真并对多阶Galerkin方法截断求解结果进行比较,验证了Galerkin方法求解时的收敛性和可靠性。仿真结果表明,在无风条件下,拖曳天线的末端锥袋振动不会对机载甚低频通信系统的通信质量产生明显的影响。

Abstract:

The mathematics model of the trailing antenna was founded. For the complicate nonlinear and strongly coupled dynamic model, the dynamic model was discretize to obtain numerical solution by Galenkin method, based the steady state of the trailing antenna on an aircraft. Then a mathematical simulation was provided to validate the solution of Galerkin method being compared with the several solutions. The results indicated that the influences of the vibration of the drogue to communication were little without wind.