摘要
本文对杆杆型冲击拉伸试验装置建立了简化的含有多个轴向和环向的物理和几何间断面的空间轴对称线弹性动力学系统模型，用二维有限差分法和自编的ＢＢＩＤ－Ⅱ程序进行数值分析，并提出双虚边界法来计算物理间断面上的位移。用多种方法，特别是通过将包含内部界面的非均质变截面二维轴对称圆杆的泊松比退化为零，然后求得其差分数值解，再将此差分数值解与一维等效简化变截面非均质圆杆的解比较的方法，对有限差分方法和有限差分程序ＢＢＩＤ－Ⅱ进行了较充分的考核。数值分析成功地模拟了弹性应力波作用下的冲击拉伸试验过程。
The bar-bar tensile impact apparatus was simplified as an axisymmetric linear elastic dynamic system containing several interfaces with physical or geometric discontinuity.Two dimensional finite-difference method and self-designed computing program BBID-Ⅱ were used to obtain the dynamic response of the system. Displacements on the interfaces with physical discontinuity were treated by a new method with two fictitious boundaries.The entire computation scheme was justified by several numerical eaamples.Especially,the response of a nonhomogeneous axisymmetric rod with varying cross-section was calculated and compared with the known one-dimensional equivalent solution.According to this numerical analysis,the actual tensile impact process was simulated successfully and the validity of one-dimensional experimental principle for the bar-bar tensile impact apparatus was proved in the frame of linear elasticity.
出处
《实验力学》
CSCD
北大核心
1997年第1期126-134,共9页
Journal of Experimental Mechanics
基金
国家自然科学基金
关键词
杆杆型
冲击拉伸试验
一维试验原理
试验机
bar-bar tensile impact apparatus, one-dimensional experimental principle,dynamic analysis.
