膛线身管的NURBS建模与等几何数值分析  

NURBS model and isogeometric analysis of rifled barrel

作　　者：过斌[1] 葛建立[1] 张鸿浩 杨国来[1] 

机构地区：[1]南京理工大学机械工程学院,江苏南京210094 [2]北京特种机械研究所,北京100143

出　　处：《南京理工大学学报》2015年第5期538-543,共6页Journal of Nanjing University of Science and Technology

基　　金：国家自然科学基金(11172139)

摘　　要：该文根据身管内膛的结构特征将膛线身管分块,选用非均匀有理B样条(NURBS)基函数建立分块的身管三维等几何模型,通过块缝合技术将其合并为完整的膛线身管等几何模型,精确地保留了身管内膛的结构特征。参照标准有限元方法对膛线身管模型施加载荷和约束,进行等几何分析。并将膛线身管的等几何模型及计算结果与有限元模型及结果进行了对比,等几何方法表现出极大优越性。在静态分析的基础上,通过施加动态载荷,得到了膛线身管的振动位移和动态应力。该模型还可用于研究发射过程中弹丸和膛线身管的耦合振动问题。By dividing the rifled barrel into several pieces according to the structural characteristics of the bore,the non-uniform rational B-splines（ NURBS） basis function is used to establish the piecemeal three-dimensional isogeometric models of the rifled barrel here. And then these models are combined into a complete model by the piece stitching technique with the structural characteristics of the bore being retained precisely. Referring to the standard finite element method,loads and constraints are applied to the rifled barrel model,and then isogeometric analysis is performed. Through the comparison of the model and the results of the rifled barrel from the isogeometric analysis with those using the standard finite element method,it is shown that the isogeometric method has more advantages compared with the standard finite element method. Based on the static analysis,the dynamic displacement and stress of the rifled barrel are calculated through applying dynamic load. The model also can be utilized to further study the coupling problem of the projectile and the rifle barrel in the process of launching.

关 键 词：膛线身管 等几何分析 非均匀有理B样条 有限元法 

分 类 号：O242.21[理学—计算数学]