爆炸所致地面运动的仿真

本文提出了一个由爆炸地震引起的地面运动的理论仿真方法。将一个运动参数的时间变化过程转化为具有时变振幅的一个纯随机振荡问题，运用地震运动传递具有无特征尺度的分形结构和地运动时域信号具有统计自相似性的概念，提出地面运动随机平稳噪声的时变曲线是一条分形曲线的假设，根据随机振荡 函数功率谱满足指数关系的实验结果。引入Weiersterass-Mandelbrot(W-M)函数，给出了爆炸所致地面运动的仿真方法和过程，地面竖向位移的理论仿真结果与实验测试结果在统计规律上具有较好的一致性。

MODELING OF GROUND MOTION INDUCED BY EXPLOSIONS

The paper proposes a theoretical modeling method for the ground motion caused by explosions The relation between the parameter of ground motion and time is transformed into a pure random process with the amplitude varying with time Based on the concept that there is the scaling invariant fractal structure in the transmission of earthquake motion and the self affinity of the ground motion signal in time domain, an assumption is deduced that the curve of the stationary random noise of the ground motion varying with time is a fractal graph Experimental results show that the power spectrum of the random oscillation function follows a power law, thus the Weiersterass Mandelbrot (W M) function is introduced and the method and procedure of simulation for the ground motion produced by explosions are presented The theoretical predications are in good statistical agreement with experimental results for the displacements of vertical ground motion