地下结构物在爆炸冲击波作用下的动力分析

Dynamic Load Analysis of Underground Structure Under the Effect of Blast Wave

1.
Mechanical and Engineering Institute, Beijing Institute of Technology, Beijing 100081, P. R. China;

摘要: 提出了一种求解任意形地下结构物在爆炸冲击波作用下的动应力集中问题的半解析方法．爆炸冲击波以平面SH波的形式入射，并用Fourier变换方法将其转换到频域，不同形状地下结构物的导纳函数由复变函数和保角映射的方法求得．利用Fourier逆变换，进一步合成得到时域中的地下结构的动力响应，最后，对正方形、三角形及马蹄形孔洞附近的动应力集中系数作了数值计算，并给出了具体结果．
- 动应力 /
- 爆炸冲击波 /
- FFT变换 /
- 地下结构物
Abstract: A semi-analytical method of solving the problem of dynamic stress concentration of arbitrary underground structure under the effect of blast waves was introduced. Using the Fourier Transform theory, the shock waves (in the forms of SH-waves) can be converted into frequency bands. After employing complex functions and conformal mapping, the admittance functions of various underground structures were obtained. Then, the problem of the time domain dynamic stress response of underground structure can be easily solved through the Fourier inverse transform. At last, the results and curves of the dynamic stress for the square, triangle and horseshoe cavity are presented.
- dynamic stress /
- blast wave /
- FFT transform /
- underground structure

[1]	LIU Shaw-wen. Transient scattering of SH waves by surface-breaking and sub-surface cracks[J].Internat J Solids and Structures,1997,34(30)：4019—4035. doi: 10.1016/S0020-7683(96)00234-X
[2]	LIU Dian-kui,GAI Bing-zeng,TAO Gui-yuan.Application of the method of complex functions to dynamic stress concentration[J].Wave Motion,1982,4(4):293—304. doi: 10.1016/0165-2125(82)90025-7
[3]	韩峰.复变函数方法在弹性波散射及动应力集中问题研究中的应用[D].博士学位论文.哈尔滨：哈尔滨建筑大学,1991,49—52.[WT5”BZ]. Γ H 萨文.孔附近的应力集中[M].卢鼎霍,译.北京：科学出版社,1958,150—199.
[5]	王桂芳.隧道计算[M].成都：成都科技大学出版社，1992，20—37.
[6]	李翼祺,马素贞.爆炸力学[M].北京：科学出版社,1992，258—275.
[7]	胡律贤.地震工程学[M].北京：地震出版社,2006，129—147.