复合材料夹芯圆柱壳水下振动和声辐射的三维弹性解  

Three-dimensional elastic solutions for underwater vibration and sound radiation of composite sandwich cylindrical shells

作　　者：仝博[1] 李永清[1] 朱锡[1] 张焱冰[1] TONG Bo;LI Yongqing;ZHU Xi;ZHANG Yanbing(College of Naval Architecture and Ocean Engineering, Naval University of Engineering, Wuhan 430033, China)

机构地区：[1]海军工程大学舰船与海洋学院,武汉430033

出　　处：《复合材料学报》2019年第5期1159-1168,共10页Acta Materiae Compositae Sinica

基　　金：国家自然科学基金(50979110)

摘　　要：为获得复合材料夹芯圆柱壳的振动声辐射准确解,在厚度方向将壳体分成若干薄层,基于三维弹性理论和状态空间技术,对每一薄层建立状态空间方程,并结合位移和应力连续条件,建立横向位移和应力的传递矩阵。外表面的流体载荷和内表面的点激励通过傅里叶级数展开,并代入状态空间方程,获得了复合材料圆柱壳水下振动和声辐射的弹性准确解。应用具体算例,与有限元仿真和文献计算结果对比。结果表明,本文的三维弹性理论相较于近似的二维壳体理论更加准确。进一步研究了铺层角、表层和芯材厚度分布及材料损耗因子对振动声辐射的影响。计算结果表明,在环频率以下的频段,声功率峰值点数目随铺层角度增加呈"抛物线"型变化趋势;在环频率以上的中高频段,随着铺层角度增加,声功率峰值点数目呈先增加后趋于平缓然后继续增加的趋势。随着芯材损耗因子的增加,声功率峰值逐步降低,但下降幅度减小。In order to obtain the exact solution for the vibration and sound radiation of composite sandwich cylindri cal shell the shell was divided into several thin layers in the thickness direction the state space equation was estab lished for each thin layer based on three-dimensional elastic theory and state space technique and the transfer matrix of transversal displacement and stress was built considering the continuous condition of displacement and stress. The fluid load on the outer surface and the point excitation on the inner surface were expanded by Fourier series and in troduced into the state space equation, the exact elastic solution of underwater vibration and sound radiation of com posite sandwich shell was obtained. In contrast to the results by finite element simulation and that from the previous literature, present theoretical model is more accurate than the approximate two-dimensional shell theories. The effect of ply angle, thickness distribution of face and core and loss factor on vibration and sound radiation were fur ther investigated. The results show that in the frequency range below the ring frequency the peak's number of sound power changes as the parabolic curve, and in the middle and high frequency bands above the ring frequency the peak's number of sound power increases first and tends to be gentle, and then continues to increase. With the increasing of core's loss factor, the peak value of sound radiation power gradually decreases, as well as the extent of decline.

关 键 词：三维弹性理论 状态空间法 复合材料夹芯圆柱壳 水下 振动声辐射 

分 类 号：TB330.1[一般工业技术—材料科学与工程]