摘要
针对高速列车在运行速度提升过程中的低频噪声难控制的问题,本文基于经典板理论,对多孔功能梯度负泊松比蜂窝夹层板的振动声学响应进行分析研究。其中上下面板为功能梯度材料,其材料特性遵循幂律函数分布变化,夹芯层为负泊松比蜂窝结构。在简支边界条件下,根据Hamilton原理推导出功能梯度板的动力学方程,并利用Navier法求解自由振动问题方程。然后耦合求解模态函数矩阵的特征值得到固有频率,通过Rayleigh积分计算夹层板的横向位移和辐射声压级。讨论功能梯度夹层板的材料和结构参数,以及夹芯层胞元参数对振动声学响应的影响。结果表明:在相同条件下,与倾角15°相比,蜂窝倾角30°比倾角15°在点激励作用下声压级幅值减小约18.18%,长宽比的增加使点激励作用下声压级幅值下降最大约10%;随着孔隙率的减小,点激励下的声压级减小,波峰波谷向低频偏移,同时,在相同点激励下的声辐射特性随着梯度指数的增大而降低,蜂窝胞元结构参数的变化对声压级的移动趋势与幅值大小影响显著。
During the operation of high-speed trains,low-frequency noises,which are difficult to control,are generated during the acceleration phase.Based on classical plate theory,the vibrational acoustic response of honeycomb sandwich plates with a porous,functionally graded negative Poisson′s ratio is studied.The upper and lower layers of the plate comprise functionally graded materials whose properties follow a power law function distribution,while the sandwich layer is a honeycomb structure with a negative Poisson′s ratio.Under simply supported boundary conditions,the dynamic equations for functionally graded plates are derived using Hamilton′s principle,and the free vibration equations are solved using the Navier method.The eigenvalues of the modal function matrix are computed to obtain the natural frequency,while the transverse displacement and radiated sound pressure level of the sandwich plate are calculated using the Rayleigh integral.The effectiveness of the proposed model is verified through comparison with existing literature.The study extensively discusses the material and structural parameters of functionally graded sandwich panels,as well as the effects of honeycomb cell parameters on vibrational acoustic response.The results indicate that,under the same conditions,the sound pressure level amplitude decreases by approximately 18.18%when the honeycomb inclination angle increases from 15°to 30°and by approximately 10%when the aspect ratio increases.As porosity decreases,the sound pressure level under point excitation also decreases,with the peaks and troughs shifting to low frequencies.Additionally,the characteristics of sound radiation under point excitation decrease with an increasing gradient index,and changes in cellular structure parameters notably affect the movement trend and amplitude of the sound pressure level.
作者
饶娥
付涛
RAO E;FU Tao(Faculty of Mechanical and Electrical Engineering,Kunming University of Science and Technology,Kunming 650500,China)
出处
《哈尔滨工程大学学报》
北大核心
2025年第9期1883-1891,共9页
Journal of Harbin Engineering University
基金
国家自然科学基金项目(52205105)
云南省基础研究专项(202101AU070160
202201AT070145).
关键词
经典板理论
HAMILTON原理
功能梯度夹层板
负泊松比
孔隙率
振动声学响应
classical plate theory
Hamilton principle
functionally graded sandwich plate
negative Poisson ratio
porosity
vibration acoustic response
作者简介
饶娥,女,硕士研究生;通信作者:付涛,男,讲师,博士,硕士生导师,E-mail:ftkmust@126.com.
