超音速气流中贴压电层的功能梯度材料混合板的颤振分析  

Flutter analysis of functionally graded hybrid plates with piezoelectric layer in supersonic flow

作　　者：黄小林 王熙 董雷 张伟 Huang Xiaolin;Wang Xi;Dong Lei;Zhang Wei(School of Architecture and Transportation Engineering,Guilin University of Electronic Technology,541004,Guilin,China)

机构地区：[1]桂林电子科技大学建筑与交通工程学院

出　　处：《应用力学学报》2019年第6期1429-1434,I0012,共7页Chinese Journal of Applied Mechanics

基　　金：国家自然科学基金(11362004)

摘　　要：基于复合材料薄板理论和有气流偏角的气动压力的一阶活塞模型,建立了超音速气流作用下上、下表面粘贴压电层的功能梯度材料混合板的气动弹性力学模型;用Galerkin法求解并分析了气流马赫数、气流偏角、压电层预加电压、热环境等因素对混合板固有频率和颤振临界速压的影响。结果表明:混合板的固有频率随马赫数和温度的升高而降低,随气流偏角的不断增加而呈现波动现象;通过调整压电层的预加电压可以提高混合板的颤振临界速度。Based on composite plate theory and first-order piston model, an aerodynamic elastic model of functionally graded material hybrid plates with piezoelectric layers bonded on the top and bottom surfaces is established. The governing equations of the hybrid plates are solved by Galerkin method, and the vibration characteristics of plates are investigated. Effects of Mach number, control voltage, flow yaw angle and thermal environment on the free vibration and flutter of hybrid plates are presented. Results obtained show that with the increase of Mach number and temperature, the natural frequency of the plate decreases. The natural frequencies of the hybrid plates are significantly affected by flow angle. Moreover, effect of control voltage on the critical flutter speed of hybrid plates is also studied.

关 键 词：超音速气流 功能梯度材料 压电材料 颤振 

分 类 号：O327[理学—一般力学与力学基础]