考虑不确定性的模块化战术导弹优化设计

Optimization Design of Modular Tactical Missile under Uncertainty

针对不确定性因素对模块化战术导弹总体参数影响较为敏感,从而导致设计出的导弹无法满足要求问题,开展了模块化战术导弹不确定性优化设计。以某38 kg级别直升机载空地导弹为研究对象,采用稳健性优化设计理论,建立模块化导弹稳健性优化设计模型,分析载荷质量与质心位置、速度方案、弹道方案3类不确定问题对导弹起飞质量与设计约束的影响。优化结果表明:在付出很小质量代价基础上,稳健性优化方案可降低不确定性因素对设计目标的影响,大幅度提升满足设计约束的概率。方案对比分析表明:增加导弹飞行高度与续航阶段末速可提升模块化直升机载空地导弹起飞质量稳健性;增加续航段末速与尾舵展长、减小弹翼展长可提升设计约束稳健性。

The designed missile can not meet the requirements due to the influence of uncertainty on the overall parameters of modular tactical missile.An optimization design of modular tactical missile is made in consideration of uncertainty.A 38 kg helicopter-borne air-to-ground missile(HBAGM)is taken as a case study in the present paper.The robust design optimization(RDO)theory is applied to solve the problem of insensitive HBAGM weight under both design variable and design parameter uncertainties.A missile RDO model is established,including missile conceptual design,surrogate model and robust optimization.Three uncertain problems which exist in modular HBAGM conceptual design,namely,payload weight and center-of-mass location,velocity characteristic,and flight trajectory,are taken into account in a probabilistic setting.The RDO results show that the HBAGM weight is much less insensitive to the uncertainties with a slight weight penalty,and the constraints are also satisfied with much higher probabilities.Comparison of various schemes suggests that the increases in flight height and terminal cruise velocity reduce the effects of uncertain parameters on HBAGM weight.The constraint probabilities can be significantly improved by increasing the terminal cruise velocity as well as tail fin span,and decreasing the wingspan.