弹道学报Issue(3)：7-11,5.
弹箭非线性角运动周期解稳定性分析
Stability Analysis of Periodic Solution for Nonlinear Angle Motion of Proj ectiles and Rockets
摘要
Abstract
In order to analyze and calculate the stability of the periodic solution for nonlinear angle motion of proj ectiles and rockets,the equations of the nonlinear angle motion were derived. Taking a rocket plateau test for an example,the phase portraits of angle motion and Poincare surface of section were calculated while the value of the cubic Magnus moment coefficient(MMC) varies.The bifurcation diagram was calculated based on Poincare map in which the linear MMC was selected as the bifurcation parameter.The amplitude and cycle of the periodic solution were calculated by generalized shooting method,and then the stability of the periodic solution was analyzed by using Floquet theory.In the case of low density at high altitude,the stable periodic motion is bifurcated from zero equilibrium position of the angle motion of the rocket after considering the nonlinear MMC while the MMC reaches a certain range.关键词
火箭弹外弹道/非线性运动/打靶法Key words
exterior ballistics of rockets/nonlinear motion/shooting method分类
军事科技引用本文复制引用
钟扬威,王良明,常思江,傅健..弹箭非线性角运动周期解稳定性分析[J].弹道学报,2015,(3):7-11,5.基金项目
国家自然科学基金项目(11402117) （11402117）
