装备空投中降落伞配备的数学模型和数值计算  

Mathematical Model and Numerical Calculation for Allocating Parachute in the Airdrop of Equipment

作　　者：吴松林[1] 龙云[1] 陈体英[2] 伍度志[1] 

机构地区：[1]后勤工程学院基础部,重庆401311 [2]西南大学附属中学数学组,重庆400715

出　　处：《重庆师范大学学报（自然科学版）》2017年第2期134-140,共7页Journal of Chongqing Normal University:Natural Science

基　　金：重庆市基础与前沿研究计划项目(No.cstc2013jcyjA00006);重庆市研究生教育教学改革研究项目(No.yjg152017)

摘　　要：【目的】根据装备、降落伞的物性参数,考查空投中降落伞配备数量的计算问题。【方法】针对装备空投过程的3个阶段,通过合理假设和力学分析,分别建立了微分方程组模型。通过构建模型的数值求解方法,并结合不同装备的实际参数,计算了相应配置的降落伞绳索的最小承载力和伞衣最小面积。【结果】利用优化知识,构建了降落伞与装备的选配模型,并通过数值计算,对不同装备配置了不同规格的降落伞。【结论】建立的数学模型和数值结果可以加强对空投过程的理解,对降落伞与装备进行科学配置。[Purposes]According to the physical parameters of equipment and parachute,the number equipped with parachute for different equipments in airdrop was studied.[Methods]Through reasonable hypothesis and mechanical analysis,differential equations model was established respectively for three stages of equipment airdrop.According to the construction of numerical solution method of the model and the actual parameters of different equipment,the minimum bearing force of parachute ropes and the minimum area of parachute canopy were gained by numerical calculation.[Findings]With the optimization of knowledge,the allocation model of selecting the parachute for different equipment was built,and the allocation result was gained by numerical calculation.[Conclusions]The established mathematical model and the numerical results could strengthen the understanding for the airdrop process,and have scientific allocation of parachute for different equipments.

关 键 词：降落伞 微分方程 数学模型 牵引比 数值计算 

分 类 号：O29[理学—应用数学]