弹体结构屈曲和振动问题的理论研究  

Theoretical Study on Buckling and Vibration Behaviors of Projectile Structure

作　　者：杨慧[1] 王可慧[1] 李明[1] 姚飞娟 蔡松 戴湘晖[1] 段建[1] YANG Hui;WANG Kehui;LI Ming;YAO Feijuan;CAI Song;DAI Xianghui;DUAN Jian(Northwest Institute of Nuclear Technology,Xi’an 710024,China)

机构地区：[1]西北核技术研究所,西安710024

出　　处：《现代应用物理》2024年第6期140-146,186,共8页Modern Applied Physics

基　　金：国家重点研发基金资助项目(YF-20230309)。

摘　　要：弹体结构屈曲载荷和振动频率是影响弹体侵彻性能的重要参数,然而针对弹体屈曲失稳问题及振动问题的理论求解研究仍不完善。基于弹体结构和载荷的对称性,构建了5次型和7次型高次位移模式,利用剪应力自由条件、本构关系、几何关系以及哈密顿原理,获得了弹体结构屈曲问题和振动问题的新理论模型及理论解。与其他理论结果对比表明:建立的高次位移模式理论及求解方法,不仅求解精度高,且可求解复杂边界问题;不同边界条件下屈曲问题的临界载荷相对偏差可达54.9%。The buckling load and vibration frequency of structures for the earth penetrating weapon(EPW)are important parameters.However,the research on the theories and solutions is still insufficient for buckling and vibration behaviors of projectiles.In this paper,based on the symmetry of the projectile structure and load,the fifth-order and seventh-order displacement modes are constructed to present the new theoretical models and solutions for buckling and vibration behaviors using the shear stress free condition,constitutive relationships,geometric relationships and the principle of Hamilton.Compared with other theoretical results,it indicates that the present theories and concerned solutions with higher order displacement modes not only are highly accurate,but also can be used to handle the behaviors with complex boundaries.Under different boundary conditions,the relative deviation of critical buckling load can reach up to 54.9%.

关 键 词：屈曲问题 振动问题 高次位移模式 悬臂条件 理论解 

分 类 号：TJ03[兵器科学与技术—兵器发射理论与技术] O34[理学—固体力学]