【作者】 郑颖建；

【导师】 朱卫兵；

【作者基本信息】 哈尔滨工程大学 ， 航空宇航推进理论与工程， 2005， 硕士

【摘要】 本文采用有限元法对固体发动机药柱在高过载(加速度)条件下的应力、应变和位移场进行二维非线性粘弹性分析,得出了药柱在横向和轴向作用下的变形结果。以粘弹理论为基础,采用拉氏逆变换和数值积分的方法,推导出由拉伸松弛模量E(t)、固体推进剂体积松弛模量K(t)计算粘弹泊松比v(t)。简述了体积松弛模量k(t)与体积蠕变柔量B(t)之间的精确与近似转换关系。依照Prony级数展开,由实验数据拟合出固体推进剂松弛模量主曲线及W.L.F.方程中参数的方法,建立了统一的松弛模量主曲线。根据发动机实验故障的具体情况,运用这种试验故障分析方法和过程(即针对试验故障进行故障树分析、数据曲线的复合复算分析和验证实验),从粘弹性理论、动力学理论出发,利用大型有限元分析软件ANSYS6.1对固体推进剂在高过载条件下的瞬态运动仿真,通过有限元分析得到任意时刻推进剂的响应,包括应力分布、变形情况等,据此判断强度是否满足条件,变形是否符合要求,找出造成发动机试验故障的具体原因,结果有助于固体火箭发动机药柱结构设计分析。更多还原

【Abstract】 The two-dimensional non-linear viscoelasticity analysis of stress strain and displacement fields for solid motor grains under light overload (acceleration) is carried out using finite element method in this paper .The deformation results of propellant grains and transverse and axial overload are abstained. On base of viscoelastic theory and using inversion of the Laplace transform and numerical calculation method. A formation and a numerical solution for viscoelastic poissonratio v(t) from stress tension modulus E(t) and bulk relaxation modulus K(t). The exact and approximate inversion relationships between volume relaxation modulus K(t) and volume creep compliance B{t) are summarized.Based on theProny method, a fitting method of solid propellant relaxation modulus master curve and parameter of W.L.F. equation by using test data is put forward. A uniform fitting model is set up. The method and process including failure tree analysis analysis of data curve reexamination and testing. Based on the theory of viscoelasticity and dynamics, the structural integrality analysis of solid rocket motor in the Finite Element Method (ANASYS 6.1) is presented in this paper. The grain FEM model is used to figure out the stress and strain under compound load case, such as inertial force in radius direction and metrical force on axis direction, to estimate if the intensity and deformation can meet the demand to find out the reasons and mechanism of the failure. It is available for reference to the structure design of high-acceleration solid rocket motor grains.更多还原