直升机旋翼
传递矩阵
控制理论(社会学)
基质(化学分析)
振动
转子(电动)
传递函数
还原(数学)
齿轮传动系
维数(图论)
拓扑(电路)
计算机科学
工程类
机械工程
物理
数学
螺旋锥齿轮
材料科学
控制(管理)
电气工程
几何学
量子力学
人工智能
纯数学
复合材料
计算机视觉
出处
期刊:AIAA Journal
[American Institute of Aeronautics and Astronautics]
日期:2022-07-01
卷期号:60 (7): 4288-4301
摘要
When it comes to analyzing the dynamic characteristics of a geared system, it is common practice to create an equivalent mathematical model for which the rotational velocity is the same for all the elements. In contrast to creating the equivalent system firstly, a novel strategy based on the transfer matrix method is developed, which can directly obtain the equation of motion according to the system topology figure. Actually, any kind of topology of the system, e.g., geared branch or geared closed-loop systems, can be decoupled into a combination of a series of independent chain systems via introducing the virtual branched-gear transfer matrix. The overall transfer equation of the system can be efficiently obtained because the transfer matrix method of a chain system is simply matrix multiplication. The transfer matrices of typical gear types, e.g., reduction gear and planetary gear, are derived. In particular, a simple and aesthetic transfer matrix of rotating beam is derived to solve the rotor blade flapping or lead-lag vibration problems. A dimension reduction strategy is also introduced to address the dimension unmatched issue, further reducing the scale of the overall transfer matrix of the system. At last, an application on modeling an analysis of the coupled flexible rotor blade/engine/tail rotor/drive train system of a helicopter is presented.
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