固体火箭发动机药柱三维粘弹性响应面随机有限元分析

发展了一种三维粘弹性响应面随机有限元法(VRSSFEM),并对某型号固体火箭发动机药柱进行了随机结构分析。首先基于近似不可压粘弹性有限元方法和中心复合设计(CCD)技术获得输入、输出随机变量多组试验点,然后采用最小二乘法估计响应面函数的各项系数,最后以显式的函数表达式代替实际药柱结构的有限元分析模型,结合Monte Carlo方法完成了某型号固体火箭发动机药柱结构的随机响应分析。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,能满足实际工程需要,特别适用于大型复杂粘弹性结构的随机分析。

Three-dimensional viscoelastic response surface stochastic finite element analysis on solid rocket motor grain

kind of 3D viscoelastic response surface stochastic finite element method(VRSSFEM) was developed,which was applied to analyzing stochastic structure of a solid rocket motor grain.Firstly,multiple experimental points of input-output stochastic variables were obtained based on nearly incompressible viscoelastic finite element method and central composite design(CCD) technique.Secondly,all the coefficients of the response surface function were estimated by using least square method.Finally,the finite element a...