炮身的双时变横向振动分析

DUAL TIME-VARYING TRANSVERSE VIBRATION ANALYSIS OF A GUN TUBE

根据射击时炮身悬臂长度和激励载荷作用点及其数值大小都随时间变化（称为双时变）的基本特点，研究了炮身在射击平面内的横向振动问题，包括建立数学模型，分析计算自由振动特性和强迫振动响应等。提出了时变支承的定点替代、变位置载荷的时间等效和静态位移修正等实用方法来解算双时变中的一些问题。分析计算与实测结果符合良好。

Transverse vibration in the firing plane of a gun tube is studied under the consideration of the fact that the overhang length of a gun tube and the point of application and magnitude of excitation loads are both time-varying during firing (herein called dual time-varying for simplicity). With the general mathematical model found, the characteristics of free vibration and the response of forced vibration are analyzed and calculated. Some practical approaches such as the oint-location displacement method for time-varying supports, time equivalent method for moving load and the static displacement correction method, etc, are suggested and used for solving dual time-varying problems. Calculation results conform to the experiments satisfactorily.