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随着人们对随机变量认识的深入和计算能力的提高,已形成了用于处理随机变量的结构可靠度设计与分析的方法与标准。针对固体火箭发动机药柱材料性能、载荷环境、几何尺寸等参数不确定性的影响,提出一种结合蒙特卡罗与响应面法计算随机载荷下固体发动机药柱可靠性的方法。通过建立固体发动机推进剂药柱的极限状态方程,采用响应平面法和蒙特卡洛模拟随机载荷和固体推进剂药柱初始强度来获取推进剂药柱的可靠度。该方法能有效地计算贮存、飞行等环境条件下固体推进剂药柱的结构可靠性。
With the deepening of people’s understanding of random variables and the improvement of computing power, methods and standards for the design and analysis of structural reliability for handling random variables have been formed. Aiming at the uncertainty of parameters such as material properties, load environment and geometrical dimensions of solid rocket motor, a method combining Monte Carlo and response surface method to calculate the reliability of solid propellant grains under random loading was proposed. By establishing the limit state equation of solid propellant grains, the reliability of propellant grains can be obtained by response surface method and Monte Carlo simulation of random loads and the initial strength of solid propellant grains. The method can effectively calculate the structural reliability of solid propellant grains under storage, flight and other environmental conditions.