收稿日期: 2016-12-09
修回日期: 2017-04-19
网络出版日期: 2017-04-19
基金资助
国家自然科学基金（11472216）
Vibration and acoustic radiation characteristics analysis of composite laminated plate in hygrothermal environments
Received date: 2016-12-09
Revised date: 2017-04-19
Online published: 2017-04-19
Supported by
National Natural Science Foundation of China (11472216)
研究了湿热环境中正交各向异性复合材料层合板结构受简谐激励作用的振动和声辐射特性。考虑了湿热应力和质量效应，利用一阶剪切变形理论和模态叠加法推导出四边简支层合壁板的固有频率计算公式，并采用Rayleigh积分得到其在简谐激励下的声辐射特性公式。基于湿热膨胀的等效性获得不同湿热环境下复合材料层合板的等效热膨胀系数，并进行有限元数值模拟，对理论公式进行了验证。算例结果表明，湿热环境导致复合材料层合板产生湿热应力，使得固有频率减小；单层板的振动特性对湿度和温度的变化更敏感；随着湿度和温度的增加，简谐激励作用下的复合材料层合板的振动速度响应、辐射声压级（SPL）、辐射声功率和声辐射效率曲线的波峰逐渐向低频方向移动，同时声辐射效率随之降低；低阶固有频率受湿度和温度的影响更加明显，声辐射特性曲线中低阶模态的波峰移动更显著。
赵天 , 杨智春 , 田玮 , 陈兆林 . 湿热环境下复合材料层合板振动与声辐射特性分析[J]. 航空学报, 2017 , 38(10) : 221038 -221038 . DOI: 10.7527/S1000-6893.2017.221038
The vibration and acoustic radiation characteristics of an orthotropic composite laminated plate excited by a harmonic concentrated force in hygrothermal environments are studied.Taking the effects of hygrothermal stress and additional mass effect into account,we derive the natural frequency formulations of four-edge simply-supported laminated panel based on the first-order shear deformation theory and mode superposition approach.The sound radiation formulations for the panel are obtained by using Rayleigh integral.Furthermore,the equivalent coefficients of thermal expansion of the panel in the hygrothermal environment are obtained according to the equivalence of hygrothermal expansion and thermal expansion.Numerical simulations are carried out with the finite element method to verify the analytical solutions.It is observed that the natural frequencies decrease with the increase of moisture content and temperature due to the effect of hygrothermal stress.The orthotropic lamina is more sensitive to hygrothermal effect than the laminated plate.Meanwhile,the peaks of dynamic response,Sound Pressure Level (SPL),sound power and acoustic radiation efficiency curves of the panel generally shift towards lower frequencies;and the acoustic radiation efficiency decreases with the elevation of temperature and moisture content,and this phenomenon is more evident in the low frequency region.
[1] 郑建军. 湿热环境对复合材料剪切层合板自由振动和动力响应的影响[D]. 上海:上海交通大学, 2002:21-24. ZHENG J J. Hygrothermal effects on the vibration and transient response of shear deformed laminated plates[D]. Shanghai:Shanghai Jiaotong University, 2002:21-24(in Chinese).
[2] SHEN H S, YANG J, ZHANG L. Dynamic response of Reissner-Mindlin plates under thermomechanical loading and resting on elastic foundations[J]. Journal of Sound and Vibration, 2000, 232(2):309-329.
[3] LIEW K M, HUANG Y Q, REDDY J N. Vibration analysis of symmetrically laminated plates based on FSDT using the moving least squares differential quadrature method[J]. Computer Methods in Applied Mechanics and Engineering, 2003, 192(19):2203-2222.
[4] SHOOSHTARI A, RAZAVI S. A closed form solution for linear and nonlinear free vibrations of composite and fiber metal laminated rectangular plates[J]. Composite Structures, 2010, 92(11):2663-2675.
[5] JEYARAJ P, GANESAN N, PADMANABHAN C. Vibration and acoustic response of a composite plate with inherent material damping in a thermal environment[J]. Journal of Sound and Vibration, 2009, 320(1-2):322-338.
[6] JEYARAJ P, PADMANABHAN C, GANESAN N. Vibration and acoustic response of an isotropic plate in a thermal environment[J]. Journal of Vibration and Acoustics, 2008, 130(5):301-306.
[7] GENG Q, LI Y M. Analysis of dynamic and acoustic radiation characters for a flat plate under thermal environments[J]. International Journal of Applied Mechanics, 2012, 4(3):1250028.
[8] GENG Q, LI H, LI Y M. Dynamic and acoustic response of a clamped rectangular plate in thermal environments:Experiment and numerical simulation[J]. Journal of the Acoustical Society of America, 2014, 135(5):2674-2682.
[9] LI W, LI Y M. Vibration and sound radiation of an asymmetric laminated plate in thermal environments[J]. Acta Mechanica Solida Sinica, 2005, 28(1):11-22.
[10] GENG Q, LI Y M. Solutions of dynamic and acoustic responses of a clamped rectangular plate in thermal environments[J]. Journal of Vibration and Control, 2016, 22(6):1593-1603.
[11] LI X Y, YU K P. Vibration and acoustic responses of composite and sandwich panels under thermal environment[J]. Composite Structures, 2015, 131:1040-1049.
[12] RAM K S S, SINHA P K. Hygrothermal effects on the free vibration of laminated composite plates[J]. Journal of Sound and Vibration, 1992, 158(1):133-148.
[13] NATARAJAN S, DEOGEKAR P S, MANICKAM G, et al. Hygrothermal effects on the free vibration and buckling of laminated composites with cutouts[J]. Composite Structures, 2014, 108:848-855.
[14] ZHAO X, GENG Q, LI Y M. Vibration and acoustic response of an orthotropic composite laminated plate in a hygroscopic environment[J]. Journal of the Acoustical Society of America, 2013, 133(3):1433-1442.
[15] LI X, LI Y H, QIN Y. Free vibration characteristics of a spinning composite thin-walled beam under hygrothermal environment[J]. International Journal of Mechanical Sciences, 2016, 119:253-265.
[16] JIANG B K, XU J, LI Y H. Flapwise vibration analysis of a rotating composite beam under hygrothermal environment[J]. Composite Structures, 2014, 117:201-211.
[17] QIN Y, LI X, YANG E C, et al. Flapwise free vibration characteristics of a rotating composite thin-walled beam under aerodynamic force and hygrothermal environment[J]. Composite Structures, 2016, 153:490-503.
[18] QIN Y, LI Y H. Influences of hygrothermal environment and installation mode on vibration characteristics of a rotating laminated composite beam[J]. Mechanical Systems and Signal Processing, 2017, 91:23-40.
[19] FAHY F, KALNINS A. Sound and structural vibration radiation, transmission, and response by Frank Fahy[J]. The Journal of the Acoustical Society of America, 1987, 81(5):1651-1651.
[20] FICK A V. On liquid diffusion[J]. Philosophical Magazine Series 4, 1855, 10(63):30-39.
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