危岩聚集体破坏振动方程研究

陈洪凯1,2 吴亚华2 王圣娟2

振动与冲击 ›› 2018, Vol. 37 ›› Issue (12) : 60-66.

PDF(1239 KB)
PDF(1239 KB)
振动与冲击 ›› 2018, Vol. 37 ›› Issue (12) : 60-66.
论文

危岩聚集体破坏振动方程研究

  • 陈洪凯1,2  吴亚华2  王圣娟2
作者信息 +

A study on the vibration equation of the rupture of perilous rock aggregate

  • CHEN Hongkai1, 2,WU Yahua2,WANG Shengjuan2
Author information +
文章历史 +

摘要

针对高陡岩石边坡表面危岩聚集体破坏易于出现激振链式崩落的实际情况,将危岩聚集体竖向裂隙未贯通部分概化为棱柱体,采用波动理论方法推导建立了危岩破坏激振波作用下危岩聚集体破坏振动力学模型,运用特征法求解得到了危岩聚集体质点振动方程、位移方程、应力方程及振动速度方程。通过室内模型试验对理论模型进行了验证,误差仅为6.12%。研究成果对于深入开展群发性危岩破坏机理研究有积极意义。

Abstract

Aiming at the actual situation that perilous rock aggregate can easily avalanche under action of excitation at rupture of perilous rock on steep and high slope, this work generalizes perilous rock aggregate with nonthrough vertical fissure as a prism. A vibration mechanics model at rupture of perilous rock aggregate under the excitation was deduced and established using the wave theory. To solve the model through the characteristic method, four equations specific to any mass point in perilous rock aggregate were obtained, respectively, vibration equation, displacement equation, stress equation and vibration velocity equation. Model experiments in laboratory identify that the error between the theoretical solution and experimental data is about 6.13%.

 

关键词

工程力学 / 破坏 / 振动方程 / 波动理论 / 危岩聚集体

Key words

engineering mechanics / rupture / oscillation equation / wave theory / perilous rock aggregates

引用本文

导出引用
陈洪凯1,2 吴亚华2 王圣娟2. 危岩聚集体破坏振动方程研究[J]. 振动与冲击, 2018, 37(12): 60-66
CHEN Hongkai1, 2,WU Yahua2,WANG Shengjuan2. A study on the vibration equation of the rupture of perilous rock aggregate[J]. Journal of Vibration and Shock, 2018, 37(12): 60-66

参考文献

[1] 陈洪凯,唐红梅,王智,等. 危岩破坏激振信号频域特征研究[J]. 振动与冲击, 2014, 33(19):64-68.
   CHEN Hong-kai,TANG Hong-mei,WANG Zhi,et al. Frequency domain characteristics of excitation signals for rupture of perilous rocks[J]. Journal of Vibration and Shock, 2014, 33(19):64-68.
[2] 陈洪凯,杨铭,唐红梅,等. 危岩破坏激振信号局部和细节信息特征[J]. 振动与冲击, 2014,33(24):15-18,25.
   CHEN Hong-kai,YANG Ming,TANG Hong-mei,et al. Local and minutiae characteristics of excitation signals during perilous rock rupture[J]. Journal of Vibration and Shock, 2014,33(24):15-18,25.
[3] 陈洪凯, 杨铭, 唐红梅, 等. 危岩破坏激振信号概率统计特征研究[J]. 振动与冲击, 2015, 34(8):139-143.
   CHEN Hong-kai, YANG Ming, TANG Hong-mei, et al. Probabilistic and statistic characteristics of excitation signals during rupture of perilous rock[J]. Journal of Vibration and Shock, 2015, 34(8):139-143.
[4] CHEN H K, TANG H M, YE S Q. Damage model of control fissure in perilous rock[J].Applied Mathematics and Mechanics, 2006, 27(7):967-974.
[5] 陈洪凯,鲜学福,唐红梅. 危岩稳定性断裂力学计算方法[J].重庆交通大学学报, 2009, 32(4):434- 437/452.
    CHEN Hong-kai, XIAN Xue-fu, TANG Hong- mei. Stability analysis method for perilous rock by fracture mechanics[J]. Journal of Chongqing University, 2009, 32(4):434-437,452.
[6] CHEN Hong-kai, TANG Hong-mei. Method to calculate fatigue fracture life of control fissure in perilous rock[J]. Applied Mathematics and Mechanics, 2007, 28(5):643-649.
[7] 崔宏环, 刘建坤, 张立群, 等. 含纵向裂隙的悬挑式危岩稳定性分析方法研究[J].铁道工程学报,2016, (1):11-15.
    CUI Hong - huan,LIU Jian - kun,ZHANG Li - qun,et al. A stability analysis method of the overhanging crag with longitudinal cracks[J]. Journal of Railway Engineering Society, 2016, (1):11-15.
[8] Unteregger D, Fuchs B, Hofstetter G. A damage plasticity model for different types of intact rock[J]. International Journal of Rock Mechanics & Mining Sciences, 2015, 80:402-411.
[9] Mohammad R Z, Ahmad F. Analytical solutions for the stresses and deformations of deep tunnels in an elastic-brittle-plastic rock mass considering the damaged zone[J]. Tunnelling and Underground Space Technology, 2016, 58:186-196.
[10] Khazaei C, Hazzard J, Chalaturnyk R. Damage quantification of intact rocks using acoustic emission energies recorded during uniaxial compression test and discrete element modeling[J]. Computers and Geotechniques, 2015, 67:94-102.
[11] 程昀,昌晓旭,何聪,等. 基于解析解的混凝土桩体应力波特性分析[J].江西理工大学学报,2016,37(5): 41-46.
    CHENG Yun, CHANG Xiao-xu, HE Cong, et al. Analysis of stress wave characteristics of concrete pile based on analytic equation[J]. Journal of Jiangxi University of Science and Technology, 2016, 37(5):41-46.
[12] Berrones R F, Whitman R V. Seismic response of end-bearing piles[J]. Journal of Geotechnical Engineering, ASCE, 1982,108(4):554-568.
[13] Novak M, Nogami T. Soil-pile interaction in horizontal vibration[J]. Journal of Earthquake Engineering Structure Dynamics, 1977, 5:263-281.
[14] Bhowmik D, Baidya D K, Dasgupta S P. A numerical and experimental study of hollow steel pile in layered soil subjected to vertical dynamic loading[J]. Soil Dynamics and Earthquake Engineering, 2016, 85:161-165.
[15] Cerv J, Adamekb V, Vales F, et al. Wave motion in a thick cylindrical rod undergoing longitudinal impact[J]. Wave Motion, 2016, 66:88-105.

PDF(1239 KB)

510

Accesses

0

Citation

Detail

段落导航
相关文章

/