基于离散时间传递矩阵法的伞-弹系统动力学模型

摘要

采用离散时间传递矩阵法建立了伞-弹系统减速稳定段的动力学模型,回避了多体动力学传统的研究方法在伞-弹系统建模过程中存在的问题.详细给出了应用离散时间传递矩阵法建立铅垂平面内伞-弹系统模型的建模过程,推导了伞-弹系统的传递矩阵和传递方程.通过算例将建立的伞-弹系统模型和采用牛顿-欧拉法建立的伞-弹系统模型进行了对比分析,两种模型计算结果吻合度好,验证了本文模型的正确性以及离散时间传递矩阵法应用在减速伞-子导弹系统中的可行性.%Based on the discrete time transfer matrix method ( DTTMM), a dynamic model for a parachute-submissile system in the terminal descent phase is developed, thus avoiding the questions of multi-body dynamics based on traditional methods. The modeling process of a parachute-submissile system in the vertical plane is illuminated by adopting the DTTMM in detail and the transfer matrix and the transfer equation are deduced. Through an example, the validity of the model and the feasibility of DTTMM used in the deceleration parachute-submissile system are verified by comparing the parachute-submissile dynamic models based on the DTTMM and the Newton-Euler method.