炮管振动的有限元分析

本文把炮管处理成圆锥形悬臂梁,其上受有后坐惯性载荷,布尔登(Bourdon)载荷,高速移动弹丸载荷。模型考虑了载体(如坦克、舰艇、飞机等)的平动和转动影响。单元取有4个自由度的一维梁单元,插值函数取三次Hermite多项式。根据达朗贝尔原理和变形体虚功原理导出了梁单元的有限元运动方程,给出了整体质量矩阵、阻尼矩阵、刚度矩阵和节点力列阵的集合规则,编写了该问题的有限元计算机源程序,最后给出了实例计算。

FINITE ELEMENT ANALYSIS OF BARREL VIBRATIONS

The barrel is treated as a tapered cantilever beam on which the recoil inertia load, Bourdon load, and the load generated by a high speed moving projectile are acted. The translation and rotation of the vehicle or carrier (e. g. tank, naval vessel, aircraft, et al.) are taken into consideration. Beam elements with four degrees of freedom are taken, the interpolation function used being the Hermite cubic multinomial. The motion equations of the beam elements are derived on the basis of D'Alembert principle and the principle of virtual work. The principle relating to the formation of sets for the total mass matrix, damping matrix, stiffness matrix, and nodal force vector is given. A computer program has been devised and results of calculation for a practical example are given graphically.