爆炸荷载作用下地下拱形结构动力响应样条小波有限元研究

摘要

The wavelet finite element is adopted to study the dynamic action of underground structure subjected to blasting load in order to overcome the disadvantages of stress centralism and inefficient com- putation occurring in numerical simulation. It is because of the characteristics of material singularity, complexity of geologic structure and high-speed loading. In this paper, according to the spline finite point method,the new elements of one-way and two-way annulus sector interval B-spline elements were con- structed using the scaling functions as interpolation function. And they were used to study the dynamic reaction of underground arch structure under blasting load through programming with Matlab software. The result showed that the computation precision is high with little elements and the computation effi- ciency is improved 50% comprised with common finite element.%采用小波有限元方法研究爆炸荷载作用下地下结构的动力响应，克服在模拟过程中由于材料的奇异性、地质条件的复杂性和加载的快速性出现的应力集中和计算效率低下，根据样条有限点法，构造了单向和双向区间B样条圆环扇形小波单元，用尺度函数作为插值函数；结合工程实例，通过Matlab软件编程对爆炸荷载作用地下拱形结构的动力响应进行了数值模拟，并与应用传统有限元程序模拟结果进行对比。结果表明，小波有限元用很少单元取得了较高的精度，计算效率比传统有限元提高一倍。