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本文考虑火箭燃烧室燃烧不稳定性,固体推进剂不稳定燃烧,液体火箭贮箱推进剂晃动引起火箭系统不稳定性以及航天飞行不稳定性等问题的偏微分方程组定解问题。并指明航天飞行器的断裂问题是断裂力学的时代问题之一,研究它的数学方法如奇异积分方程法,J积分方法,研究复合材料的线性断裂力学原理以及处理边缘断裂问题的边界单元法都是值得探讨的。
In this paper, the problem of partial differential equations for the instability of rocket combustion chamber, the unsteady combustion of solid propellant, the rocking of liquid propellant tank propellant, the instability of rocket system and the instability of space flight are considered. And pointed out that the spacecraft’s fracture problem is one of the problems of fracture mechanics. Studying its mathematical methods such as singular integral equation method, J-integral method, studying the principle of linear fracture mechanics of composite materials and boundary element method for dealing with edge fracture problems are Worth exploring