火炮固有频率的多刚体动力学计算方法

Method of calculating natural frequency of gun by using multi-rigid-body dynamics

基于多体系统动力学理论,建立了火炮系统的多刚体动力学模型,推导了封闭形式的动力学方程,给出了射击过程中火炮所受各类主动力的处理方法。由该动力学方程,推得火炮系统的固有频率计算通式,并计算了火炮有、无后坐两类工况下的固有频率。计算结果与模态实验结果比较分析表明:利用多体建模方法计算火炮系统固有频率方便、通用,且计算精度高。

Based on the multi-body system dynamics, the multi-rigid-body model of a gun was estab- lished, the dynamic equations in a closed form were deduced, and the means of simplifying various active forces were provided. From the dynamic equations is obtained the generalized computing equation for the gun natural frequency. The equation was used to calculate the frequencies of the gun with and without recoil. The comparison of the calculated result with the simulating one shows that it is convenient, effective and high in precision.