液体运载火箭充液贮箱箱底纵向刚度数值求解

Numerical calculation of the longitudinal spring constant for the bulkheads of liquid-propellant launch vehicles

基于弹簧—质量简化模型进行液体运载火箭充液贮箱纵向结构动力学建模分析时,需要考虑贮箱箱底的刚度影响,Larry D.Pinson基于线性薄膜理论推导了充液贮箱椭球箱底的纵向刚度模型,本文基于有限元方法进行了贮箱箱底刚度的数值求解,计算结果与文献方法进行了比较,计算结果一致,同时数值求解方法可以较好地解决厚度不均匀以及异型的贮箱箱底的刚度求解。

The effect of the bulkheads of the liquid-propellant tanks must be taken into account when the longitudinal structural characteristics of the liquid-propellant launch vehicles are studied based on the lumped mass-spring models.Larry D.Pinson studied and derived the models for the longitudinal spring constant of the bulkheads of the liquid-propellant tanks using the linear membrane theory.This paper provided the numerical calculation of the longitudinal spring constant for the bulkheads of liquid-propellant launch vehicles based on the finite element method.The results of both the analytical method derived by Larry D.Pinson and the numerical calculation are almost the same.On the other hand,the numerical calculation method is also the effectual approach to the calculation of the longitudinal spring constant of the bulkheads for the tanks with un-uniform thickness and irregular bulkheads.