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一、引言 现代火炮设计要求研究火炮振动和对炮架强度作动力计算。此时,若仍将炮架看成固定不动的刚体系统就不适宜了。然而,若将炮架视为复杂的动力学系统,既考虑各部件的运动,又考虑它们的弹性,则又过于繁杂,也不切合工程问题求解的要求。本文介绍一种力学模型,将炮架当作几个刚体组成的弹性系统(刚体之间连接部位的弹性可通过实验测定,确定其弹性常数),也就是说将火炮当作集总参数系统。据此,应用拉格朗日(Lagrange)方
I. INTRODUCTION Modern artillery design requires the study of artillery vibration and dynamic calculation of gun frame strength. At this point, if the frame is still regarded as a rigid body system is not appropriate. However, considering the gun as a complicated dynamical system, considering both the motion of components and their elasticity, is too complicated and does not meet the requirements of solving engineering problems. In this paper, a mechanical model is introduced, in which the gantry is considered as an elastic system composed of several rigid bodies (the elasticity of the joint between rigid bodies can be determined experimentally and its elastic constant is determined), that is, the grenade is regarded as a lumped parameter system. Accordingly, the Lagrange side is applied