应力波在变截面体中的传播特性  

Propagation characteristics of stress waves in solids with variable section

作　　者：姚磊[1] 李永池[1] 

机构地区：[1]中国科学技术大学力学和机械工程系,安徽合肥230027

出　　处：《爆炸与冲击》2007年第4期345-351,共7页Explosion and Shock Waves

摘　　要：对应力波在变截面体中的传播特性进行了理论研究和数值分析。以杆中一维纵波波动理论和谐波分析法为基础,研究截面变化所导致的应力波的波形弥散和波幅变化。推导了与截面变化相关的应力波演化因子,并对由于截面变化所造成的几何弥散等二维效应进行了分析,同时计算了变截面体的几何特征参数和截面变化等因素影响应力波演化规律的特点。The propagation characteristics of stress waves in the solids with variable section was dissection. Based on the one-dimensional longitudinal wave motion theory and the harmonic analysis, the rules of the dispersion of the wave shape and the change of the wave amplitude which are due to the variation of the section are obtained, the wave evolution factor combined with the variable section is deduced, and the two-dimensional effect, such as the geometry dispersion due to the variation of the section, is discussed. The rules how the geometry parameters and section shape functions effect the evolution of stress waves in the solids are also calculated and discussed.

关 键 词：固体力学 传播特性 二维分析 变截面 应力波 

分 类 号：O347.4[理学—固体力学] O382[理学—力学]