考虑摩擦接触时简谐波透过微缝隙的传播  

Propagation of Harmonic Waves Through a Micro Gap With Consideration of Frictional Contact

作　　者：陈小云[1] 于桂兰[1] 

机构地区：[1]北京交通大学土木建筑工程学院,北京100044

出　　处：《应用数学和力学》2011年第11期1329-1341,共13页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助项目(10772022)

摘　　要：研究了简谐波透过微缝隙的传播问题.考虑界面摩擦接触,利用Fourier分析技术和半空间解修正法,将边界非线性波动问题简化为一组代数方程并进行了详细的数值计算.给出了分离区、滑移区和粘着区的分布以及界面应力分布和能量分配;讨论了缝隙宽度、摩擦因数、入射角等因素对波动传输的影响.结果表明:由于界面发生局部接触和滑移使得反射波和透射波中含有高频谐波.缝隙宽度与各阶谐波反射、透射系数的关系可为材料及结构的无损检测提供理论依据.Propagation of elastic waves through a micro gap between two solids with consideration of frictional contact was investigated. By using the Fourier analysis technique and corrective solution method, the nonlinear boundary problem was reduced to a set of algebraic equations. Numerical results exhibit the locations and extents of separation, slip and stick zones, the interface tractions and the energy partition. The effects of gap width, frictional coefficients and the incident angle on the wave transmission were discussed in detail. The results show that higher harmonics are generated due to the local contact/slip at the interface. The dependence of reflection and refraction coefficients for higher harmonics on the initial gap width may provide us a theoretical foundation for non-destructive testing of a pre-existing micro gap.

关 键 词：简谐波 微缝隙 摩擦接触 FOURIER分析 

分 类 号：O347.4[理学—固体力学]