Blasting ground vibration is an undesirable side effect of using explosives to fragment rocks. There is not any universally accepted standard to determine limitations of blast vibrations; however, velocity is the most commonly used method to measure ground vibrations. Because the structural response is highly frequency dependent, the frequency content is an essential characteristic of blast-induced shock waves along with the velocity. The magnitude of blast-induced displacement or velocity and their relative stress and strain are directly related to the quantity of charge, distance from blasting point, and geological conditions. These effects were not considered in the response spectrum theory of structures. This article tries to propose a new procedure to predict the shear displacement and relative strain for optimization of blasting patterns before the explosion. It can be accomplished by representing the effects of both velocity and frequency on the horizontal displacement of the structures based on measurements undertaken by the authors in two different rock formations. In this study, collected data were analyzed statistically to determine the coupled effects of dominant frequency, peak particle velocity, and peak particle displacement to propose a simple procedure for predicting the range of blast-induced displacement and related strain in structures.

爆破地面振动是使用炸药将岩石打碎的不良副作用。没有任何通用的标准可以确定爆炸振动的限制；但是，速度是测量地面振动的最常用方法。因为结构响应高度依赖于频率，所以频率含量是爆炸引起的冲击波与速度一起的基本特征。爆炸引起的位移或速度的大小以及它们的相对应力和应变与装药量，距爆炸点的距离以及地质条件直接相关。在结构的响应谱理论中未考虑这些影响。本文试图提出一种新的程序来预测剪切位移和相对应变，以优化爆炸前的爆破方式。这可以通过根据作者在两个不同岩层中进行的测量来表示速度和频率对结构水平位移的影响来实现。在这项研究中，对收集到的数据进行统计分析，以确定主频，峰值粒子速度和峰值粒子位移的耦合效应，从而为预测爆炸引起的位移范围和结构中的相关应变提供了一种简单的程序。这可以通过根据作者在两个不同岩层中进行的测量来表示速度和频率对结构水平位移的影响来实现。在这项研究中，对收集的数据进行统计分析，以确定主频，峰值粒子速度和峰值粒子位移的耦合效应，从而为预测爆炸引起的位移范围和结构中的相关应变提供了一种简单的程序。这可以通过根据作者在两个不同岩层中进行的测量来表示速度和频率对结构水平位移的影响来实现。在这项研究中，对收集的数据进行统计分析，以确定主频，峰值粒子速度和峰值粒子位移的耦合效应，从而为预测爆炸引起的位移范围和结构中的相关应变提供了一种简单的程序。