炮管振动的有限元分析

• 作 者: 康新中 王宝元
• 机 构: 陕西机械电气研究所,陕西机械电气研究所
• 出 处: 兵工学报
• 发表日期: 1990年02期
• 关键词: 有限元分析 炮管 刚度矩阵 节点力 达朗贝尔原理 质量矩阵 虚功原理 变形体 阻尼矩阵 插值函数

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。

In this paper, the barrel is processed into a conical cantilever, which is subjected to inertial load on the back, Bourdon load, and high velocity moving projectile load. The model takes into account the translational and rotational effects of carriers (such as tanks, ships, planes, etc.). The unit takes a 4-DOF one-dimensional beam element and the interpolation function takes a cubic Hermite polynomial. The finite element equations of motion of beam elements are deduced according to the principle of Dalambel and the principle of virtual body deformation. The general rules of mass matrix, damping matrix, stiffness matrix and node force array are given. The finite element computer Source program, finally gives an example calculation.