外激和参激作用下的三角翼飞行器滚转运动的随机响应  

Random Response of Rolling Motion of Delta Wing Aircraft under External and Parametric Excitations

作　　者：焦萌倩 彭如月 黄文韬 蒋贵荣[1] JIAO Mengqian;PENG Ruyue;HUANG Wentao;JIANG Guirong(School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin Guangxi 541004, China;College of Mathematics and Statistics, Guangxi Normal University, Guilin Guangxi 541006, China)

机构地区：[1]桂林电子科技大学数学与计算科学学院,广西桂林541004 [2]广西师范大学数学与统计学院,广西桂林541006

出　　处：《广西师范大学学报（自然科学版）》2020年第5期34-41,共8页Journal of Guangxi Normal University:Natural Science Edition

基　　金：国家自然科学基金(11662001,11562006,11771105);广西自然科学基金(2016GXNSFDA380031,2017GXNSFFA198012,2018GXNSFAA138177);广西高校中青年教师科研基础能力提升项目(2019KY0228)。

摘　　要：滚转运动在飞行器的横向稳定性中居于主导地位,为研究随机激励下三角翼飞行器滚转运动的随机响应,本文在更为复杂的滚转模型上引入外激和速度参激,利用耗散能量平衡法、幅值包线随机平均法、能量包线随机平均法求得系统近似平稳概率密度,并通过数值模拟对比了3种方法的精度。Rolling motion dominates the lateral stability of the aircraft.In order to study the random response of the delta wing’s rolling motion under random excitation,external and parametric excitations are added to a more complex rolling model.The approximate probability density of the system is obtained by the dissipative energy balance method,the amplitude envelope random average method and the energy envelope random average method.The accuracy of the three methods is compared by numerical simulations.

关 键 词：三角翼 滚转运动 高斯白噪声 随机平均法 FPK方程 

分 类 号：O324[理学—一般力学与力学基础]