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本文的基本内容是建立全向立体交会条件下导弹-破片-目标相互运动的数学模型和用来确定战斗部最佳炸点的引爆方程。导弹在遇靶段的目标区域内,导弹和目标之间的相互运动一定是处于唯一的一对相互平行的平面内。根据这个特点,建立起导弹-破片-目标运动的数学模型——SKS模型。在这个SKS模型中,战斗部破片流场为一空心的圆锥体,这就解决了以往由于数学处理方法而引进的破片流场空心锥体的变形问题(此种变形使建立完整的较为严密的数学模型大为复杂化)。这使SKS模型的数学表达式十分简单。本文从SKS模型中,导出了适用空对空导弹的引爆方程,在数学上证明了以往建立的共面条件下的引爆方程仅是本文导出的引爆方程的一个特例。SKS模型也适用于其它多种战术导弹,当然其中有关参数的选取应根据各战术导弹本身的技术要求来确定。
The basic content of this paper is to establish the mathematical model of the missile-fragment-target mutual movement under the condition of omnidirectional rendezvous and the detonation equation used to determine the best blast point of warhead. Missiles in the target area of the target area, the missile and the target must be in mutual movement between the only pair of planes parallel to each other. According to this feature, the missile - fragment - the mathematical model of the target movement --SKS model. In this SKS model, the warhead fragment flow field is a hollow cone, which solves the deformation problem of hollow cones introduced by the mathematical treatment method in the past (this deformation makes the establishment of a more complete Mathematical model is much more complicated). This makes the mathematical expressions of the SKS model very simple. In this paper, the detonation equations of air-to-air missiles are deduced from the SKS model. It is proved mathematically that the detonation equation under the coplanar conditions established in the past is only a special case of the detonation equation derived in this paper. The SKS model is also applicable to many other types of tactical missiles, of which the selection of relevant parameters should be based on the technical requirements of each tactical missile itself.