摘要
对非光滑锥形杆中的纵波传播问题进行了研究。建立了由高度均方根和相关长度控制且粗糙高度满足高斯分布的随机粗糙面的数字模型。利用步近法将锥形杆进行离散,并求解了非光滑锥形杆中的纵波波场,将非光滑锥形杆进行离散,并利用步近法求解了粗糙锥形杆中的纵波波场,计算结果与有限元分析结果吻合。与光滑杆中的纵波进行对比,系统地研究了粗糙杆中纵波波幅随粗糙高度均方根和相关长度的变化情况。结果表明:高度均方根与波幅衰减量呈指数正相关;而相关长度与波幅衰减量呈指数负相关。基于数值模拟结果,给出了波幅衰减与高度均方根和相关长度的预测公式。本研究为工程中的粗糙锥形杆中的波传播问题提供了方法指导。
The propagation of longitudinal wave in non-smooth tapered rods is studied.A numerical model of random rough surface is established,which is characterized by the root mean square of height and the correlation length,and the rough height distribution satisfies the Gaussian distribution.The tapered rods are discretized by Step Approximate Method(SAM),which is introduced to solve the longitudinal wave field in non-smooth tapered rods.The results of numerical simulations are in agreement with the results of finite element method.In comparison with the smooth rods,variations of the amplitude of longitudinal wave in rough rods with the root mean square of height and the correlation length are studied in a systematic way.Numerical results indicate that the maximum attenuation in wave amplitude increase in an exponential fashion with the increase of root mean square of height,and decrease in an exponential fashion with the increase of correlation length.From the numerical simulation results,a prediction formula is given,which relates the maximum attenuation in wave amplitude and the statistical parameters.This present study provides a guidance for wave propagation in rough tapered rods in engineering.
作者
袁乐
贺宇翔
李翔宇
YUAN Le;HE Yuxiang;LI Xiangyu(School of Mechanics and Engineering,Southwest Jiaotong University,Chengdu 611756,China)
出处
《四川轻化工大学学报（自然科学版）》
CAS
2021年第6期64-70,共7页
Journal of Sichuan University of Science & Engineering(Natural Science Edition)
基金
四川省科技计划项目(2021YJ0003)。
关键词
随机粗糙面
锥形杆
纵波
random rough surface
tapered rods
longitudinal wave
