亚音速气流中复合材料层合板结构气动弹性稳定性分析

第44卷第8期2018年8月北京工业大学学报JOURNAL OF BEIJING UNIVERSITY OF TECHNOLOGY Vol.44No.8Aug.2018

亚音速气流中复合材料层合板结构气动

弹性稳定性分析

任 涛1,李凤明1,赵 磊2

(1.哈尔滨工程大学航天与建筑工程学院,哈尔滨 150001;2.北京动力机械研究所,北京 100074)

摘 要:为了研究复合材料层合板结构在亚音速气流作用下的气动弹性稳定性,基于线性势流理论建立适用于三维复合材料层合板结构的亚音速气动力模型,采用经典层合板理论,根据Hamilton 变分原理,建立亚音速下三维复合材料层合板的运动方程.采用假设模态法,将偏微分方程离散成常微分方程组,通过求解广义特征值问题分析其气动弹性特性.通过计算层合板结构在不同来流速度时的固有频率,得到层合板结构在亚音速气流作用下的临界失稳速度.研究表明:该亚音速气动力模型适用于三维薄板结构.在气流作用下,层合板结构刚度降低导致结构失稳.

关键词:亚音速气流;复合材料层合板;临界失稳速度;Hamilton 原理;假设模态法

中图分类号:O 322文献标志码:A 文章编号:0254-0037(2018)08-1069-06

doi :10.11936/bjutxb2017040031收稿日期:2017-04-20

基金项目:国家自然科学基金资助项目(11572007,11172084)

作者简介:任 涛(1989 ),男,博士研究生,主要从事动力学与控制方面的研究,E-mail:rentao0222@https://www.wendangku.net/doc/3414871678.html,

通信作者:李凤明(1969 ),男,教授,博士生导师,主要从事动力学与控制方面的研究,E-mail:lifengming@https://www.wendangku.net/doc/3414871678.html, Aeroelastic Stability Analysis of Composite Laminated Plate in Subsonic Airflow

REN Tao 1,LI Fengming 1,ZHAO Lei 2

(1.College of Aerospace and Civil Engineering,Harbin Engineering University,Harbin 150001,China;2.Beijing Power Machinery Institute,Beijing 100074,China)Abstract :In this paper,the aeroelastic stability of the laminated composite plate in subsonic airflow was analyzed.A subsonic aerodynamic model fit for the three-dimensional (3D)composite laminated plate was established by the linear potential flow theory.The equation of motion of the 3D composite laminated

plate was obtained by Hamilton's principle and the classical laminated composite plate theory.The equation of motion was discretized to the ordinary differential equations by using the assumed mode method.The aeroelastic characteristics were analyzed by solving the generalized eigenvalue problem.The critical instability speeds of the laminated composite plate in subsonic airflow were obtained by calculating its natural frequencies at different flow velocities.The investigation results show that the subsonic aerodynamic model established in this paper is fit for the 3D plate structures.In subsonic airflow,the structural stiffness of the laminated plate is reduced,which results in the instability of the laminated plate structure.Key words :subsonic airflow;laminated composite plate;critical instability speed;Hamilton's principle;assumed mode method 万方数据