Dynamic response mechanisms of limestone pillars with weak interlayers under vertical stress wave disturbance of blasting

JIANG Lichun; LI Yinghao; ZHONG Qipeng

doi:10.12454/j.jsuese.202401044

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Dynamic response mechanisms of limestone pillars with weak interlayers under vertical stress wave disturbance of blasting

更新时间：2025-05-20

- Dynamic response mechanisms of limestone pillars with weak interlayers under vertical stress wave disturbance of blasting
- Advanced Engineering Sciences Pages: 1-13(2025)
- 作者机构：
  
  华南理工大学土木与交通学院，广东广州，510640
- 作者简介：
- 基金信息：
- DOI：10.12454/j.jsuese.202401044
  CLC： TD853
- Received：17 December 2024，
  
  Published Online：19 May 2025，
- 稿件说明：
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姜立春,李英浩,钟起鹏.爆破垂直应力波扰动下含软弱夹层石灰岩矿柱动力响应机制[J].工程科学与技术,

JIANG Lichun,LI Yinghao,ZHONG Qipeng.Dynamic response mechanisms of limestone pillars with weak interlayers under vertical stress wave disturbance of blasting[J].Advanced Engineering Sciences,XXXX,XX(XX):1‒13.
姜立春,李英浩,钟起鹏.爆破垂直应力波扰动下含软弱夹层石灰岩矿柱动力响应机制[J].工程科学与技术, DOI：10.12454/j.jsuese.202401044.

JIANG Lichun,LI Yinghao,ZHONG Qipeng.Dynamic response mechanisms of limestone pillars with weak interlayers under vertical stress wave disturbance of blasting[J].Advanced Engineering Sciences,XXXX,XX(XX):1‒13. DOI： 10.12454/j.jsuese.202401044.

摘要

为研究爆破垂直应力波扰动下含软弱夹层石灰岩矿柱的动力响应机制，综合含软弱夹层石灰岩矿柱的分层特征，构建含软弱夹层石灰岩矿柱动力响应模型，利用Matlab软件工具包并结合Newmark-β自起步方法编写程序，以某地下石灰石矿含软弱夹层矿柱为例进行计算分析，与数值模拟结果及现场监测数据进行对比，验证其合理性，并研究相关因素对其结构动力响应影响，判断其稳定状态。结果表明：在爆破垂直应力波作用下，理论计算模型的结果与数值模拟结果及现场监测数据基本吻合。软弱夹层的数量、刚度和阻尼的大小以及爆破荷载频率影响含软弱夹层矿柱的位移、速度响应。软弱夹层数量与响应幅值成反比，但由于软弱夹层强度较低，在吸收更多能量的同时容易发生破坏；当其他条件一定时，动力响应幅值随软弱夹层的刚度或阻尼的增大而减小，响应周期随着刚度的增大而减小，阻尼大小的改变对响应周期无显著影响；石灰岩的位移、速度响应幅值随着爆破应力波频率的增大先增大后减小，其时程曲线呈“单峰”状，当外荷载频率接近岩体自振频率时，出现极大值，容易发生共振现象；夹层的厚度、刚度和阻尼影响共振的发生，共振在持续3~5个周期会引发含软弱夹层矿柱发生压缩破坏；在高频阶段，由于阻尼的存在，振动更容易发生衰减。研究成果为爆破垂直应力波扰动下含软弱夹层石灰岩矿柱稳定性判定提供理论支撑。

Abstract

Objective

In view of the problems such as cumbersome modeling and long calculation time faced in the past when numerical simulation was used to study the dynamic response of rock mass under blasting loads

and the existing mine numerical software is unable to solve the analysis of the vibration response of each parameter of blasting stress waves. This paper proposes a "Structural dynamic response model analysis method"

conducts exploratory research in this field to achieve the purpose of rapid calculation

and provides a new research idea for the study of rock mass dynamic response under blasting load disturbance.

Methods

By constructing a dynamic response calculation model for limestone pillars with weak interlayers and employing the concentrated mass method in structural dynamics

the weak interlayers

which possess relatively weaker mechanical properties

were simplified as viscoelastic elements

while the limestone portions were treated as rigid bodies. Subsequently

relevant parameters were input

boundary conditions were established according to specific criteria

and a program was developed using Matlab software by integrating the Newmark-

self-starting method within the time-domain stepwise integration approach. The validity of this methodology was confirmed through numerical simulations and corroborated by on-site monitoring data. Additionally

the influence of various factors on the structural dynamic response was systematically analyzed to ascertain its

stable state. This approach offers significant advantages

including reduced computational time

efficient modeling

and precise external load inputs.Results and discussion　The number of weak interlayers

the magnitude of stiffness and damping

as well as the frequency of blasting loads

affect the displacement and velocity response of the pillar containing weak interlayers. The number of weak interlayers is inversely proportional to the response amplitude. However

due to the lower strength of the weak interlayers

they are prone to damage while absorbing more energy. When other conditions are constant

the amplitude of the dynamic response decreases with the increase of the stiffness or damping of the weak interlayer

the response period decreases with the increase of stiffness

and the change of damping magnitude has no significant effect on the response period. The amplitude of the displacement and velocity response of limestone first increases and then decreases with the increase of the frequency of the blasting stress wave. Its time-history curve shows a "single peak" shape. When the frequency of the external load is close to the natural frequency of the rock mass

a maximum value occurs and resonance is prone to happen. The thickness

stiffness and damping of the interlayer affect the occurrence of resonance. Resonance lasting for 3 to 5 cycles will cause compressive failure of the pillar with weak interlayers. At the high-frequency stage

due to the existence of damping

vibration is more likely to attenuate.

Conclusions

This paper focuses on addressing the exposure of weak interlayers during limestone mining

and the dynamic response mechanism of such ore pillars under the action of blasting loads. By using the Newmark-β code program for calculation

the goals of short time consumption and high efficiency are achieved

which is basically in line with the actual situation and provides a new idea for the study of rock mass dynamic response under blasting excitation.

关键词

Keywords

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