基于拉格朗日方程的航空拖缆建模与仿真  

Modeling and simulation of aerial tow cable based on Lagrange equations

作　　者：杜一江 沈作军[1] DU Yi-jiang;SHEN Zuo-jun(School of Aeronautic Science and Engineering,BUAA,Beijing 100083,China)

机构地区：[1]北京航空航天大学航空科学与工程学院,北京100083

出　　处：《飞行力学》2018年第5期11-15,共5页Flight Dynamics

摘　　要：为研究航空拖缆的空间构型和运动规律,采用多刚体法,将拖曳缆绳离散为一系列的刚体微元段,基于拉格朗日方程建立动力学模型;引入缆绳在运动过程中的弹性和阻尼特性因子,使模型更加精确高效。分别在平衡状态和加速机动两种飞行状态下,对系统进行了仿真研究,分析了缆绳的空间构型和动态响应过程。研究结果表明,采用所建模型进行较少的分段数就可以获得较为精确的结果;缆绳的弹性对系统的动态响应起到了明显的阻尼作用,对平衡态则无影响。To predict the spatial configuration and the motion law of the aerial tow cable,the dynamic model of the cable is built and its dynamic characteristics are studied. Based on the Lagrange equations,the multi-rigid method is applied to build the dynamic model,in which the aerial tow cable is discretized into a series of rigid body segments. The elasticity and damping characteristic factors of the cable are considered to make the model more accurate and efficient. The system is simulated during the balance state and the host vehicle maneuver. The shape and dynamic process of the cable are analyzed. The results show that the system simulation with the multi-rigid model produces good results with a small amount of segments. The elasticity of the cable plays a significant damping effect on the dynamic process,while has no influence when the system reaches equilibrium.

关 键 词：航空拖缆 拉格朗日方程 缆绳弹性 动力学模型 数值仿真 

分 类 号：V212.1[航空宇航科学与技术—航空宇航推进理论与工程]