| 基于张量的舰载机滑跃式起飞动力学建模 |
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| 引用本文： | 刘伟伟 屈香菊. 基于张量的舰载机滑跃式起飞动力学建模[J]. 中国航空学报, 2005, 18(4): 326-335 |
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| 作者姓名： | 刘伟伟 屈香菊 |
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| 作者单位： | School of Aeronautics Science and Technology，Beijing University of Aeronautics and Astronautics，Beijing 100083，China，School of Aeronautics Science and Technology，Beijing University of Aeronautics and Astronautics，Beijing 100083，China |
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| 基金项目： | AeronauticsScienceFoundationofChina(02A51045) |
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| 摘 要： | 基于张量推导建立了舰载机起飞过程的一般数学模型。将航空母舰、飞机、飞机的前后起落架活动部分视为具有独立质量的实体,构成柔性连接的多刚体系统。用牛顿—欧拉法(N-E法)建立各个实体的动力学方程。利用张量的不变性对动力学和运动学方程进行变换,消除坐标系转换的影响,得到矩阵形式的微分方程组。这样动力学的全部计算均统一为矩阵形式。讨论了模型的封闭性,并给出了仿真结果。
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| 关 键 词： | 数学模型 张量 舰载机 滑跃式起飞 |
| 收稿时间： | 2005-04-08 |
| 修稿时间： | 2005-09-02 |
Modeling of Carrier-based Aircraft Ski Jump Take-off Based on Tensor |
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| LIU Wei-wei, QU Xiang-ju. Modeling of Carrier-based Aircraft Ski Jump Take-off Based on Tensor[J]. Chinese Journal of Aeronautics, 2005, 18(4): 326-335 |
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| Authors: | LIU Wei-wei QU Xiang-ju |
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| Affiliation: | School of Aeronautics Science and Technology, Beijing University of Aeronautics and Astronautics, Beijing 100083, China |
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| Abstract: | A general mathematical model of carrier-based aircraft ski jump take-off is derived based on tensor. The carrier, the aircraft body and the movable parts of the landing gears are treated as independent entities. These entities are assembled into a multi-rigid-body system with flexible links. Dynamical equations of each entity are derived on the basis of the Newton law and the Euler transformation. Using the invariance property of the tensor, the dynamical and kinematical equations are converted to tensor forms which are invariant under time-dependent coordinate transformations. Then the tensor-formed equations are expressed by the matrix operation. Differential equation group of the matrix form is formulated for the programming. The closure of the model is discussed, and the simulation results are given. |
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| Keywords: | mathematical model tensor carrier-based aircraft ski jump take-off |
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