爆炸作用下围岩稳定性样条小波三维数值模拟  

Spline wavelet 3D numerical simulation for adjoining rock stability under explosion

作　　者：孙惠香[1] 胡平 梁丽娜[1] 刘远飞[1] 康婷[1] 于媛[1] 

机构地区：[1]空军工程大学航空航天工程学院,西安710038 [2]兰空房管处,兰州730020

出　　处：《振动与冲击》2016年第19期26-30,112,共6页Journal of Vibration and Shock

基　　金：国家自然科学基金资助项目(51208506;51308540)

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。Blasting load has characteristics of high pressure and transient state. Underground structure blast simulation belongs to a semi-infinite domain simulation. When using FE for its blast simulation, the computation efficiency is very low due to too many elements. The wavelet finite element method has characteristics of good numerical approach property, one element has many nodes. The 3D wavelet conversion matrix was derived. New elements of 3D interval B- spline annulus wavelet element and sector wavelet element were constructed. They were used to study the adjoining rock stability of an underground arch structure under blasting load through programming with Matlab software. The simulation results were consistent with the data collected at the blasting site. It was shown that the computation efficiency of the proposed method is improved compared with the traditional finite element method.

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 

分 类 号：TU45[建筑科学—岩土工程]