Lagrange Dynamics Analysis of Axisymmetric Vector Nozzle
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摘要: 以轴对称矢量喷管为研究对象，建立其动力学方程。首先，将轴对称矢量喷管结构简化为等效的3-PRS结构模型，利用等效的3-PRS结构模型建立喷管喷口运动学方程。然后，将气动力等效为动平台虚拟质量，运用Lagrange方法推导出喷管喷口的动力学方程，并分析其动力学特性。通过MATLAB和ADAMS仿真，对比两种仿真结果，验证了建立模型的准确性。结果表明喷口姿态对驱动力影响很大，由此可得出不同姿态下驱动力的变化规律。从而对进一步进行喷管优化设计及控制提供了有效帮助。Abstract: The axisymmetric vector nozzle was taken as the research object, and its dynamic equation was established. Firstly, the structure of axisymmetric vector nozzle was simplified to an equivalent 3-PRS structure model, and the kinematics equation of the nozzle was established with the equivalent 3-PRS structure model. Then, the aerodynamic force was settled to be equivalent to the virtual mass of the dynamic platform, and the dynamic model of the nozzle was deduced by Lagrange method, and meanwhile its dynamic features were analyzed. The accuracy of the model was verified by comparing the two simulation results in MATLAB and ADAMS. The results showed that the attitude of nozzle took great influence on driving force. At the same time, the change rule of driving force can be obtained under different attitudes. This study provides effective help for further optimal design and control of nozzles.
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Key words:
- axisymmetric vector nozzle /
- kinematics /
- dynamics /
- Lagrange method /
- 3-PRS /
- aerodynamics
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