摘要
装备投放是一种部队快速生成战斗力的机动方法.投放过程涉及到气动力学、气固耦合、装备属性等领域知识.通过合理简化,对投放过程的四个阶段分别进行受力分析,在二维情况下建立了对应的微分方程组模型,并给出了相关算例.考虑实际风速、风向等随机参数的影响,在三维情况下建立了带参的微分方程模型,并随机模拟了装备降落点的范围.建立的数学模型对定点降落,及时把握空投最佳时机有积极的指导意义.
The airdrop of equipment is a kind of maneuver method for rapid generation of combat force. This drop process involves the knowledge of aerodynamics, gas-solid coupling, equipment and other fields. In this paper, by means of reasonable simplification, the four stages of the drop process were analyzed, the corresponding differential equations model was established in the two-dimensional case, and a relevant example was given. Considering the influence of the random parameters such as wind speed, wind direction and so on, the differential equation model with parameters was established, and the range of the landing point were simulated. The mathematical models for the landing point, the optimal time to airdrop have positive significance.
作者
吴松林
龙云
陈体英
伍度志
WU Song-lin LONG Yun CHEN Ti-ying WU Du-zhi(Department of Fundamental Studies, Logistical Engineering University, Chongqing 401311, China Mathematics Group, High School Affiliated to Southwest University, Chongqing 400700, China)
出处
《数学的实践与认识》
北大核心
2016年第24期176-183,共8页
Mathematics in Practice and Theory
基金
后勤工程学院预研项目
关键词
微分方程
数学模型
牵引比
收口比
模拟
differential equation
mathematical model
traction ratio
closing ratio
simulation
