固体推进剂三维粘弹性Monte-Carlo随机有限元法  

Three-dimension viscoelastic monte-carlostochastic FEM for solid propellant

作　　者：田四朋[1] 唐国金[1] 李道奎[1] 雷勇军[1] 

机构地区：[1]国防科技大学航天与材料工程学院,长沙410073

出　　处：《强度与环境》2007年第2期51-57,共7页Structure & Environment Engineering

基　　金：教育部高等学校博士学科点专项科研基金(20069998002)资助项目;"十一五"总装预研项目(513270301);国防科技大学科研计划项目(JC06-01-01)

摘　　要：发展了一种粘弹性Monte-Carlo随机有限元法,并对固体火箭发动机药柱进行了三维随机分析。首先由Herrmann泛函出发导出了三维不可压和近似不可压粘弹性增量有限元列式。然后,同时考虑固体推进剂力学性能参数和载荷的随机性,结合Monte-Carlo技术对弹性约束的圆柱形中孔药柱进行了随机分析。为了克服直接Monte-Carlo法(DMCS)效率低的缺点,引入Latin超立方抽样技术(LHS)以提高计算效率。算例表明该方法收敛速度块、通用性强、易于工程应用。A kind of viscoelastic Monte-Carlo stochastic finite element method was developed and three-dimension stochastic analysis of solid rocket motor grains was presented. Firstly, incompressible and nearly incompressible viscoelastic incremental finite element formulations were derived based on Herrmann functional. Secondly, randornicity of solid propellant mechanics properties and loads was all considered, at the same time stochastic analysis of a hollow cylindrical grain with elastic restraint was presented by combining Monte-Carlo technique. Latin Hypercube Sampling （LHS） technique was applied to increase computing efficiency of direct Monte Carlo simulation （DMCS）. The results of evaluated examples demonstrate that this methodology converges relatively fast, and it is universal, thus suitable for engineering application.

关 键 词：不可压 Latin超立方抽样 随机分析 MONTE-CARLO模拟 

分 类 号：V435.13[航空宇航科学与技术—航空宇航推进理论与工程]