摘要为了探究变后掠导弹的增程和增速性能，对其滑翔段和俯冲段的弹道优化问题进行 了研究。考虑动压、过载和边界条件等多种约束的条件下，分别建立了变后掠翼导弹基 于射程最大和终端速度最大的弹道优化模型。鉴于全局伪谱法在解决复杂多约束条件下 最优控制问题存在的局限性，采用将全局伪谱法与 hp 型有限元法融合的 hp 自适应伪谱 法的攻角和后掠角双变量优化设计方案，并与固定翼的最优弹道进行对比，分析变后掠 翼导弹的增程和增速机制。另外，通过与粒子群算法的最优弹道比较，验证 hp 自适应伪 谱法在解决变后掠翼导弹优化问题上的合理性。研究成果可为变后掠翼导弹总体设计提 供参考。77979

毕业论文关键词 变后掠翼导弹 弹道优化 hp 自适应伪谱法 增程和增速

毕 业 设 计 说 明 书 外 文 摘 要

Title Trajectory Optimization Design and Analysis for Truss Structure Morphing-wing Missile against Time Critical Target

AbstractIn order to explore the extended range and velocity performance of the morphing-wing missile, an optimization of the glided segment and pe trajectory for the morphing-wing missile is presented。 The trajectory optimization model which based on maximum range and velocity was established with the

multi-constraints of the dynamic pressure, the overload, and the bound conditions and so on。 In view of the limitations that the optimal control problem with complex and multi-constraints was solved by the global pseudo-spectral method, the

hp-adaptive pseudo-spectral method which combined the global pseudo-spectral method with hp finite element method was adopt to optimize the sweep angle and attack angle, and the results were compared with the fixed-wing missile to analyze its ability of the extended range and velocity。 The correctness of the hp-adaptive pseudo-spectral method in solving trajectory optimization problems for morphing-sweep missile was verified by contrast with the particle swarm optimization。 The achievements can provide a reference to the overall design of morphing-wing missile。

Key words: morphing-wing missile; trajectory optimization; hp-adaptive pseudo-spectral method; extended range and velocity

本科毕业设计说明书 第 I 页

目 次

1 绪论 1

1。1 研究背景及意义 1

1。2 变形翼的概念与分类 2

1。3 研究现状 3

1。3。1 变后掠翼的研究现状 3

1。3。2 轨迹优化研究现状 4

1。4 本课题的研究内容 6

2 动力学建模与气动特性分析 7

2。1 常用坐标系相互转换 7

2。1。1 地面坐标系 Axyz 7

2。1。2 速度坐标系 Ox3 y3 z3 7

2。1。3 弹体坐标系 Ox1 y1z1。 7

2。1。4 弹道坐标系 Ox2 y2 z2 7

2。1。5 坐标系之间的转换关系 7

2。2 动力学模型 9

2。3 变后掠翼导弹气动特性分析 11

3 hp 自适应伪谱法 16

3。1 轨迹优化问题描述