细长弹/箭体简化梁结构动特性设计研究

Structural Dynamic Analysis and Design on Free-beam with Equal Section

将细长弹体等效为等截面自由直梁,分析比较了三种求解其低阶固有频率的方法,算例证明:比起有限元方法和经验公式,根据自由振动方程求解得到频率解析式的方法计算精度较高且使用方便。应用频率解析式,利用优化方法,对等截面自由直梁进行初始动力学设计。细长体飞行器作为弹性体,只考虑其刚体运动是不能满足要求的,本文可为细长体飞行器的早期动力学设计提供参考,具有一定的工程应用价值。

The slender elastic body is equivalent to the equal section free straight beam,and we analyze and compare three methods to solve its low order natural frequency.The example proves that compared with the finite element method and the empirical formula,the calculation accuracy of solving the frequency analytical method according to the free vibration equation is high and easy to use.We use the optimization method.As an elastomer,considering only its rigid body motion cannot meet the requirements.This study can provide references for the early dynamic design of the slender body aircraft.It has a certain value for engineering application.