区域脉冲载荷下二维Lamb问题的精确求解  

EXACT SOLUTION FOR A TWO-DIMENSIONAL LAMB'S PROBLEM DUE TO A STRIP IMPULSE LOADING

作　　者：刘广裕[1] 刘凯欣[1] 

机构地区：[1]北京大学工学院力学与空天技术系湍流与复杂系统国家重点试验室,北京100871

出　　处：《固体力学学报》2007年第4期341-346,共6页Chinese Journal of Solid Mechanics

基　　金：国家自然科学基金(10572002)资助

摘　　要：采用积分变换方法,并利用两类积分公式克服反变换求解的困难,求得了区域脉冲载荷下一个二维Lamb问题的代数形式的精确解.基于该分段函数形式的代数结果,纵波、横波、Rayleigh波等应力波成分在弹性表面的激发和传播过程得到详尽分析,其中很多结论是已有的解析积分结果或者数值计算结果不曾得到的.Applying integral transform method and the corresponding inverse transformation based upon two types of integration, the present paper successfully obtains an exact algebraic solution for a two-dimensional Lamb＇s problem due to a strip impulse loading. With the algebraic result in form of piecewise function expressions, the excitation and propagation processes of stress waves, including the longitudinal wave, the transverse wave, and Rayleigh-wave, are discussed in detail. A few new conclusions, which have never been drawn before from the existing integral results or computational results of this problem, are given finally.

关 键 词：LAMB问题 精确解 积分变换 区域脉冲载荷 弹性波的激发与传播 

分 类 号：O347.1[理学—固体力学]