爆炸作用下围岩稳定性样条小波三维数值模拟

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摘要爆炸具有高压瞬时的特点，地下结构模拟属于半无限域，应用传统有限元模拟时单元划分较多，计算效率低。样条小波有限元具有良好的数值逼近性，一个单元具有多个节点。推导了三维小波转换矩阵，应用构造了三维区间B样条圆环、扇形小波单元。结合工程实例通过Matlab软件编程，对爆炸作用地下拱形结构围岩稳定性进行了三维数值模拟，模拟结果与现场采集数据基本一致，计算效率高于传统有限元。

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关键词 ：爆炸作用, 地下拱形结构, 围岩稳定性, 区间B样条小波, 单元构造

Abstract：Blasting load has the characteristics of high pressure and transient. Underground structure belongs to semi infinite domain in traditional simulation. And the computation is inefficient because of the numerous elements. The Wavelets Finite element has characteristics of good digital approximation. And one element hasmanynodes. The three-dimension transition matrix was derived. The new elements of three-dimension interval B-spline annulus sector wavelet elementand sector wavelet element were constructed. And it was used to study the adjoining rock stability of underground arch structure under blasting Load through programming with Matlab software. The numerical result is basically consistent with the data collected at blasting excavation scene. And thecomputation efficiency is improved compared with traditional finite element.

Key words： blastaction undergroundaxial structure adjoining rock stability interval B-spline Wavelet element construction

收稿日期: 2015-07-20 出版日期: 2016-09-25

引用本文:

孙惠香1胡平2梁丽娜1刘远飞1康婷1于媛1. 爆炸作用下围岩稳定性样条小波三维数值模拟[J]. 振动与冲击, 2016, 35(19): 26-30.
SUN Huixiang1,HU Ping2, LING Lina1,LIU Yuanfei1, KANG Ting 1YU Yuan1. The Three-DimensionSpline Wavelet numericalsimulation on adjoining rock stabilityunder explosionaction. JOURNAL OF VIBRATION AND SHOCK, 2016, 35(19): 26-30.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2016/V35/I19/26

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