固体推进剂药柱结构可靠度分析的响应面法  

Response Surface Method for Structure Reliability Analysis of Solid Propellant Grain

作　　者：田四朋[1] 唐国金[1] 雷勇军[1] 李道奎[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：《弹箭与制导学报》2007年第4期169-172,共4页Journal of Projectiles,Rockets,Missiles and Guidance

基　　金：高等学校博士学科点专项科研基金(20069998002);武器装备预先研究项目;国防科学技术大学科研计划项目(JC06-01-01)资助

摘　　要：发展了一种固体火箭发动机药柱结构可靠度分析的响应面法。首先基于不可压或近似不可压粘弹性有限元方法和中心复合设计技术获取多组输入、输出随机变量,然后用最小二乘法估计输出随机变量二次多项式的各项系数,进而给出显式的极限状态方程,最后采用结构可靠度分析中的R-F法分析了三维药柱结构的可靠度。数值算例表明该方法不修改确定性有限元分析程序,效率较高且精度能够满足工程需要,所以特别适用于实际药柱结构的可靠度分析。A response surface method （RSM） for structure reliability analysis of solid rocket motor （SRM） grain was presented. Firstly, multiple experimental points of input-output random parameters were determined based on incompressible or nearly incompressible viscoelastic finite element method （FEM） and central composite design （CCD） technique. Secondly, the coefficients of a quadratic polynomial for output random parameters were acquired by least square method and explicit expression of the limit state function was obtained. Finally, the reliability of three-dimension grain was evaluated by Rackwitz-Fiessler （R-F）method in structural reliability analysis. Numerical examples show that this method doesn＇t modify deterministic finite element program, and its efficiency and accuracy meets the need of engineering, so it is especially suitable for structural reliability analysis of actual grains.

关 键 词：固体推进剂 结构可靠度 响应面法 有限元法 R-F法 

分 类 号：V435[航空宇航科学与技术—航空宇航推进理论与工程]