大型运载火箭在脉动推力作用下的结构动力稳定性分析

Analysis of Structural Dynamic Stability on Large-Scale Carrier Vehicle under Periodic Load

将大型运载火箭在脉动推力作用下的结构动力稳定性问题模化为自由-自由梁在脉动载荷作用下的动力稳定性问题,推导纵、横振动相互耦合的微分方程组,采用主模态展开技术和工程化处理方法,获得了一系列Mathieu 方程,给出动力不稳定区域边界的计算公式,为研究火箭的动力稳定性问题提供判据公式。

The structural dynamic stability of large-scale carrier rehicle under periodre load isconsidered in this paper.The stable problem can be modeled as the stability of free-free beamunder periodic load.The coupled differential equations of longitudinal and transverse directionsare derived,which are transformed into a set of Mathieu equations by means of model ex-panding technique and Engineering Method.And finally,the formulae of calculating dynamicunstable region are given,which may provide some criterian for the stability of carrier vehicle.