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针对复合固体推进剂力学性能参数的不确定性对固体火箭发动机药柱结构分析的影响,使用软件ANSYS parametric design language(APDL)建立了受固化降温载荷和压力载荷联合作用下药柱结构的参数化有限元模型.在此基础上,分别应用蒙特卡洛法和响应面法,研究了复合固体推进剂热膨胀系数与初始泊松比的随机分布对药柱结构有限元分析的影响,并对两种方法得到的概率分析结果进行了对比.结果表明:复合推进剂热膨胀系数和初始泊松比微小的变化会对结构分析结果产生较大的影响;药柱结构响应对初始泊松比更为敏感.在药柱结构有限元分析时考虑推进剂力学性能参数的不确定性十分必要.通过对两种不确定结构分析方法的比较发现,响应面法得到的分析结果与蒙特卡洛法得到的分析结果十分接近,且分析效率远高于蒙特卡洛法.
Aiming at the influence of the uncertainty of the mechanical properties of solid propellants on the structure analysis of solid rocket motors, the finite element method (FEA) was established by using software ANSYS parametric design language (APDL) under the combined effect of curing cooling load and pressure load Element model.On this basis, Monte-Carlo method and response surface method were used to study the influence of random distribution of thermal expansion coefficient and initial Poisson’s ratio of composite solid propellant on the finite element analysis of the column structure, The results of the probabilistic analysis are compared.The results show that the slight change of the thermal expansion coefficient and the initial Poisson’s ratio of composite propellants will have a significant effect on the structural analysis results.The response of the column structure is more sensitive to the initial Poisson’s ratio It is necessary to consider the uncertainty of the mechanical properties of propellants in the finite element analysis of the column structure.By comparing the two uncertain structure analysis methods, the analysis results obtained by the response surface method and the Monte Carlo method are very good Close, and the analysis efficiency is much higher than the Monte Carlo method.