首页|基于固有频率的悬臂式危岩稳定性评价模型研究

基于固有频率的悬臂式危岩稳定性评价模型研究

扫码查看
针对悬臂式危岩体稳定性评价的问题,分析了悬臂式岩体的稳定性与其岩桥长度的关系,给出了岩桥长度与岩体振动频率的关系式,推导了悬臂式危岩体固有频率的理论计算式,建立了基于固有频率这一动力学指标的悬臂式危岩体稳定性评价模型.开展了悬臂式危岩体破坏的室内模型实验,证明悬臂式危岩体岩桥长度的减小会导致其固有频率降低,发现危岩体不同振型固有频率在其稳定性评价中会存在差异,结合实验结果对危岩体固有频率计算公式进行了修正.实验结果表明:悬臂式危岩体的固有频率可作为其稳定的计算指标,针对本次实验,利用修正后的悬臂式危岩体固有频率计算式,以危岩体竖直面内振动的固有频率计算危岩体破坏前的稳定性,其准确度超过90%.
Stability Evaluation Model of Cantilevered Dangerous Rock Based on Natural Frequency
In response to the difficulty of evaluating the stability of cantilevered dangerous rock mass,the relationship between the stability of the cantilevered rock mass and the length of their rock bridges was analyzed.The formula for the relationship between the length of the rock bridge and the vibration frequency of the rock mass was given,and the theoretical calculation formula for the natural frequency of cantilevered dangerous rock mass was derived,and a stability evaluation model for cantilevered dangerous rock mass based on the dynamic index of natural frequency was established.Indoor model experiments were conducted to investigate the failure of cantilevered dangerous rock mass.It is indicated that reducing the length of the rock bridge of cantilevered dangerous rock mass will cause a decrease of its natural frequency.It is found that there are differences in the natural frequencies of different vibration modes in the stability evaluation of dangerous rock masses.The calculation formula for the natural frequency of dangerous rock masses has been adjusted with the combination of the experimental results.The experiment results demonstrate that the natural frequency of cantilevered dangerous rock mass can serve as a calculation index of stability.For the pro-posed experiment,the modified formula for calculating the natural frequency of cantilevered dangerous rock mass ex-hibits an accuracy of over 90%,in which the stability of dangerous rock mass prior to damage is calculated by the natural frequency of vibration in the vertical plane of dangerous rock mass.

geotechnicd engineeringcollapserock vibration characterizationstability of rock massnatural vibra-tion frequency

刘卫南、宋红克

展开 >

黄河勘测规划设计研究院有限公司,河南 郑州 450003

岩土工程 崩塌 岩石振动特征 岩石稳定性 固有振动频率

2025

重庆交通大学学报(自然科学版)
重庆交通大学

重庆交通大学学报(自然科学版)

北大核心
影响因子:0.76
ISSN:1674-0696
年,卷(期):2025.44(1)