球-柱-球复合壳体结构声辐射建模及特性分析  

Acoustic radiation modeling and analysis of sphere-cylinder-sphere composite shells

作　　者：张艳涛 靳国永[1] 杨宇航 叶天贵 ZHANG Yantao;JIN Guoyong;YANG Yuhang;YE Tiangui(College of Power and Energy Engineering,Harbin Engineering University,Harbin 150001,China)

机构地区：[1]哈尔滨工程大学动力与能源工程学院,黑龙江哈尔滨150001

出　　处：《哈尔滨工程大学学报》2023年第1期138-145,共8页Journal of Harbin Engineering University

基　　金：国家自然科学基金项目(52225109,52241101)。

摘　　要：针对典型复合材料轴对称结构的外部声辐射问题,本文建立了基于结构完整边界的广义谱-配点边界元法的结构声辐射分析模型。从一阶剪切层合壳理论出发,推导了复合材料结构振动能量方程,引入广义谱方法和边界元方法的思想,将Helmholtz积分方程转化为边界积分方程,再将位移、声学变量和Green函数等展开为周向Fourier多项式和轴向Chebyshev多项式的形式,经化简得到一维半解析声振耦合求解的声场方程。对于浸没在轻质和重质流体中的壳体结构,均采用强耦合的处理方式对结构声问题进行求解。通过数值结果验证了本文方法的正确性,分析了各向同性均匀材料和正交各向异性球-柱-球复合壳体的声辐射问题,并讨论了不同载荷方式、铺层角度等因素对复合壳体结构声辐射的影响。结果表明:对于铺层为[90°/±θ/0°]S的玻璃纤维材料复合壳体结构,随着铺层角的增大,组合结构的轴向拉伸和弯曲刚度逐渐减小,周向的刚度得到加强,并在结构弯曲-扭转耦合效应的作用下,壳体结构的辐射声功率级响应曲线的峰值频率向高频发生偏移。To study the external acoustic radiation of a typical composite axisymmetric structure,we establish a structural acoustic radiation analysis model using the generalized spectrum-matching point boundary element method based on the complete boundary of the composite combination shell structure.The equation describing the vibration energy of the structure made of composite materials is derived from the first-order shear-laminated shell theory.Using the generalized spectral method and the boundary element method,the Helmholtz integral equation is transformed into a boundary integral equation.The displacement admissible functions,acoustic variables,and Green′s functions are transformed into Fourier and Chebyshev polynomials,which are further simplified to obtain the sound field equation solved by the one-dimensional semi-analytical sound-vibration coupling.For shell structures immersed in light and heavy fluids,a robust coupling method is adopted to solve the structural-acoustic problem.Numerical results verify the accuracy of the process.Acoustic radiation inside isotropic homogeneous media and orthotropic sphere-cylinder-sphere composite shells is analyzed,and the combined influence of different loads and ply angles on the acoustic radiation characteristics of composite shells is discussed.The results show that for the fiberglass composite shell structure with lamination schemes of[90°/±θ/0°]S,as the ply angleθincreases,the axial tensile and bending stiffness of the shell gradually decreases and the circumferential stiffness is strengthened.The resonance peaks of the response curve of the radiated sound power level of the shell shift to higher frequencies under the influence of the structural bending-torsional coupling.

关 键 词：复合材料 球-柱-球复合壳体 广义谱-配点边界元 结构声辐射 一阶剪切层合壳理论 

分 类 号：O327[理学—一般力学与力学基础]