基于响应法的固体推进剂药柱结构可靠性分析
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摘要
传统的固体推进剂药柱结构分析是在安全系数法的基础上进行的。针对传统方法的不足,结合应力强度干涉理论和响应面法对固体推进剂药柱的结构可靠性进行分析。内压载荷下,固体推进剂药柱的泊松比、初始模量、绝热层泊松比和内压峰值载荷是影响药柱应变的四个主要因素,且均服从正态分布。采用中心复合表面设计,对变量进行了25组有限元仿真试验,以此建立了药柱应变的响应面模型,通过蒙特卡洛方法计算了药柱的结构可靠性。结果表明,该方法得到的结果综合考虑了变量的随机性,避免了较大的主观随意性,在固体推进剂药柱的可靠性分析上有较大的应用价值。
The traditional structural analysis of solid propellant grain is based on the safety factor method.In view of the shortcomings of the traditional method,the structural reliability of the propellant grain is calculated by the stress-intensity interference theory and the response surface method. Under the internal pressure load,the Poisson's ratio of insulation,the peak pressure,the Poisson's ratio and the initial modulus of the propellant grain are the four main factors in influencing the strain of the grain. And the factors are subject to the normal distribution. Twenty-five sets of finite element simulation tests are carried out by using the CCF,and the response surface model of the strain is established. Then,the structural reliability of the grain is reckoned by Monte Carlo method. The results show that the response surface method take into account the randomness of the variables and can avoid subjective randomness. It has great value in the reliability analysis of solid propellant grain.
The traditional structural analysis of solid propellant grain is based on the safety factor method.In view of the shortcomings of the traditional method,the structural reliability of the propellant grain is calculated by the stress-intensity interference theory and the response surface method. Under the internal pressure load,the Poisson's ratio of insulation,the peak pressure,the Poisson's ratio and the initial modulus of the propellant grain are the four main factors in influencing the strain of the grain. And the factors are subject to the normal distribution. Twenty-five sets of finite element simulation tests are carried out by using the CCF,and the response surface model of the strain is established. Then,the structural reliability of the grain is reckoned by Monte Carlo method. The results show that the response surface method take into account the randomness of the variables and can avoid subjective randomness. It has great value in the reliability analysis of solid propellant grain.
引文
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[2]杨显峰.结构可靠度分析的高效响应面法研究[D].南宁:广西大学,2012.
[3]蒙上阳,唐国金,雷勇军.材料性能对固体发动机结构完整性的影响[J].国防科技大学学报,2002,24(5):10-15.
[4]李进贤,谢蔚民,王秉勋,等.火箭发动机可靠性设计[M].西安:西北工业大学出版社,2012.
[5]王哲君,强洪夫,常新龙,等.结构可靠性仿真方法研究[J].力学与实践,2014,36(1):9-22.
[6]张志红,何桢,郭伟.在响应曲面方法中三类中心复合设计的比较研究[J].沈阳航空工业学院学报,2007,24(1):87-91.
[7]辛景舟,周建庭,杨洋,等.响应面法在大跨轨道斜拉桥索塔长期变形预测中的应用[J].江苏大学学报(自然科学版),2016,37(3):367-372.
[8]田四朋,唐国金,雷勇军.固体火箭发动机随机药柱结构分析参数的灵敏度研究[J].固体火箭技术,2008,31(1):28-32.
[9]田四朋.固体火箭发动机药柱三维粘弹性响应面随机有限元分析[J].固体火箭技术,2010,33(1):17-20.
[10]常新龙,方鹏亚,简斌,等.药柱结构非概率可靠性分析的响应面法[J].固体火箭技术,2012,35(2):177-182.
[11]刘冬青,孙冰,张建伟.固体推进剂药柱不确定结构分析及方法比较[J].航空动力学报,2013,28(2):466-472.