摘要
运用波的传播理论研究了应力波在具有自由边界的弹性介质中的反射和叠加效应,并求得波动方程的解析解.在此基础上,利用mathcad软件绘出了应力波叠加后应力波的幅值与各参数的关系曲线.结果表明,叠加后的应力波幅值不仅与介质的位置与参数有关,而且与应力波本身的入射频率和波速有关.研究结果为确定应力集中的局部区域和消除它对工程的影响提供了理论基础.
Wave propagation theory is applied to study the reflection and accumulation effect of the stress wave propagating in the rock mass with free interfaces, and the analytical solution is gained. On the basis of this, the relation curve between the transiting parameters of stress wave and reflection effect is drawn through Mathcad software. The results show: the amplitude of the accumulated stress wave is related not only to the position of the rock mass and its parameters, but also to the velocity and frequency of stress wave itself. The results provide theoretical basis for determining the stress concentration region and eliminating its effect on the project.
出处
《徐州工程学院学报(自然科学版)》
CAS
2008年第3期74-79,共6页
Journal of Xuzhou Institute of Technology(Natural Sciences Edition)
基金
973计划项目(2007CB209405)
国家自然科学基金项目(50634050,50574090)
中国矿业大学青年科研基金项目(2006A039)
关键词
应力波
叠加效应
反射
应力集中
stress wave
accumulation effect
reflection
stress concentration