轴向可伸缩复合材料悬臂梁的非线性振动研究  

MODELING AND NUMERICAL ANALYSIS OF AN AXIALLY MOVING COMPOSITE LAMINATED CANTILEVER BEAM

作　　者：刘燕 张伟[2] 龚涛涛 Liu Yan;Zhang Wei;Gong Taotao(Physics and Space Science College,China West Normal University,637002,China;College of Mechanical Engineering,Beijing University of Technology,100022,China)

机构地区：[1]西华师范大学物理与空间科学学院,南充637002 [2]北京工业大学机电学院,北京100124

出　　处：《动力学与控制学报》2020年第4期19-25,共7页Journal of Dynamics and Control

基　　金：国家自然科学基金重点项目(10732020);南充市科技局项目(18YFZJ0033)。

摘　　要：以航空领域中可变体机翼的伸缩变形过程为研究对象,对可伸缩悬臂复合材料层合梁的时变非线性振动进行理论研究.建立可伸缩悬臂复合材料层合梁在外载荷作用下的非线性动力学模型;根据时变系数非线性动力学方程研究时变非线性振动特性.分析可伸缩悬臂复合材料层合梁在外伸与收缩变形过程中的非线性动力学特性.从数值结果上看:模型的外伸速度、飞行速度对振动的影响较大,初值对振动的影响较小.Time-varying nonlinear dynamic responses of a deploying-and-retracting composite laminated cantilever rectangular beam under external excitations were studied.Firstly,the nonlinear dynamic modeling of the deployable-and-retractable laminated composite cantilever beam was established.And then,the time-varying nonlinear dynamic phenomena during the deploying and retreating process of the composite laminated cantilever beam were revealed by solving the time-varying parameter differential equations.Finally,numerical simulations were carried out to analyze the complicated nonlinear dynamics of the axially moving cantilever beam.The results indicated that the moving velocity of the beam and the flight speed of aircraft have significant impact on the dynamic behavior of the beam,while the initial conditions have little influence.

关 键 词：轴向运动悬臂梁 高阶剪切理论 活塞理论 非线性动力学 

分 类 号：V214.33[航空宇航科学与技术—航空宇航推进理论与工程]