军机易损性分析中多重遮挡投影面积计算

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A New Algorithm of Multi-Shadowed Projective Area and Its Application in Fighter Aircraft Vulnerability Analysis

1.
Beijing University of Aeronautics and Astronautics, Dept. of Flight Vehicle Design and Applied Mechanics
2. Beijing Institute of Space Medico-Engineering
3. Shen Yang Institute of Aircraft Design

摘要: 利用B样条曲线曲面造型方法给出飞机及其各部件外形的数学模型,将其离散化为三角形面元,并采用改进的翼边拓扑结构来描述几何元素之间的关系.在此基础上,根据集合论中的包含互斥理论,提出了一种求取多个复杂几何形体在任意方向的投影面积的新算法.该算法可以有效地应用于飞机易损性分析计算中.实际应用表明该算法稳定、可靠,而且精度高.
- 曲面拟合 /
- 三角剖分 /
- 离散化 /
- 易损性 /
- 投影面积
Abstract: An accurate surface model for an aircraft and its components was constructed by using B-spline theory. The model can be discretilized into triangle surface elements, relationships among geometrical elements were represented with the improved winged-edge structure. Based on inclusion-exclusion principle of set theory,a new algorithm to calculate the whole projective area was put forward to those overlapped complex geometrical objects in any direction. The algorithm has been used successfully in fighter aircraft vulnerability analysis. Applications showed that the algorithm is stable,reliable and accurate.
- surface fitting /
- triangulation /
- discretization /
- vulnerability /
- projective area