爆破与地震载荷下椭圆夹塞体的动态响应差异分析

DIFFERENCES ANALYSIS IN DYNAMIC RESPONSE OF ELLIPTICAL INCLUSION UNDER BLASTING AND SEISMIC LOADING

  • 摘要: 爆破和地震两种类型的动力扰动特性不同,对地下回采充填体等夹塞体造成的应力波散射与应力重分布特征也存在差异。因此本文针对爆破与地震载荷下椭圆夹塞体的动态响应差异,基于马修函数和波函数展开法,引入雷克子波和针状波表征地震和爆破载荷,结合傅里叶变换和杜哈梅积分获得两种载荷下椭圆夹塞体的瞬态动态应力集中因子(dynamic stress concentration factor, DSCF)时变解析解。数值结果表明,爆破与地震载荷下的DSCF总是在椭圆夹塞的短轴两端取得最大值,但是地震相较爆破造成夹塞与围岩结构破坏的可能性更大,破坏能力更强。

     

    Abstract: Blasting and earthquakes have different dynamic disturbances characteristics, and cause differences in the characteristics of stress wave scattering and stress redistribution on inclusion such as underground backfill. Therefore, this study investigated the difference in dynamic response of elliptical inclusion under blasting and seismic loading. Based on the Mathieu function and wave function expansion method, the Ricker wavelet and needle wave are adopted to characterize the seismic and blasting loads, and the transient dynamic stress concentration factor (DSCF) time-varying analytical solutions of elliptical inclusion under the two kinds of loads are obtained by combining Fourier transform and Duhamel integral. The numerical results indicate that DSCF always achieves the maximum value at both ends of the elliptical minor axis, but the seismic load is more likely to cause inclusion and surrounding rock structure failure, and the damage capacity is stronger than the blasting load.

     

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