考虑双模量特性的块系岩体摆型波传播规律研究

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振动与冲击 ›› 2020, Vol. 39 ›› Issue (24) : 171-178.

论文

姜宽1,2,戚承志2，卢真辉2，崔英洁2，李太行2

作者信息 +

A study on the propagation law of pendulum-type wave in block-rock mass considering bimodulus characteristics

JIANG Kuan1,2,QI Chengzhi2,LU Zhenhui2,CUI Yingjie2,LI Taihang2

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文章历史 +

摘要

摆型波现象是深部岩体工程中的一种独特的岩体动力学现象，极易引发冲击地压等深部岩体工程灾害。针对深部块系岩体的非均匀性特征，本文基于岩体等级块系构造理论，利用改进的中心差分法，研究具有双模量特性的块系岩体摆型波的传播规律，分析模量比对摆型波传播规律的影响。研究表明：模量比对块体正向位移幅值影响不大，而对负向位移幅值具有较大影响；块体位移最值在中前区衰减较慢，而在末端快速衰减，不同模量比的块体位移在末端有收敛的趋势；模量比对速度响应的振幅无明显影响，但能使速度响应周期增大；随模量比的减小，加速度响应出现摆型波的“成簇”现象，得到了试验现象的证明。最后，基于摆型波理论提出了预防冲击地压灾害的两点建议：一是增强巷道围岩整体性；二是改进传统巷道支护方式，考虑支护结构的抗冲击性能和抗疲劳性能。研究具有双模量特性的块系岩体摆型波对研究复杂的不均匀的深部岩体动力学性质、保证工程安全具有重要意义。

Abstract

The pendulum-type wave is a unique rock mass dynamic phenomenon in deep rock mass engineering, which is easy to cause deep rock engineering disasters of rockburst.According to the characteristics of heterogeneity of deep block-rock mass, the law of pendulum-type wave propagation was studied in block rock mass with bimodulus characteristics based on the block-hierarchical theory of deep rock mass and the improved central difference method.The influence of the modulus ratio on the law of pendulum-type wave propagation was analyzed.The research shows that the modulus ratio has little effect on the amplitude of the positive displacement of the block, but has a greater influence on the amplitude of the negative displacement.The maximum value of block displacement decays slowly in the middle and front area, while it decays rapidly at the end, and the block displacement with different modulus ratio tends to converge at the end.The modulus ratio has no obvious effect on the amplitude of velocity response, but it can increase the period of velocity response.With the decrease of the modulus ratio, the acceleration response appears as a phenomenon of “clustering” of the pendulum-type wave, which was proved by experiment.Finally, based on the theory of pendulum wave, two suggestions for preventing rockburst disasters were proposed: one is to enhance the integrity of the surrounding rock of the roadway; the other is to improve the traditional roadway support method, considering anti-impact performance and fatigue resistance of the supporting structure.Pendulum-type wave in block rock mass with bimodulus characteristics is of great significance to the study of dynamic properties of complex and heterogeneous deep rock mass and ensure engineering safety.

导出引用

姜宽1,2,戚承志2，卢真辉2，崔英洁2，李太行2. 考虑双模量特性的块系岩体摆型波传播规律研究[J]. 振动与冲击, 2020, 39(24): 171-178

JIANG Kuan1,2,QI Chengzhi2,LU Zhenhui2,CUI Yingjie2,LI Taihang2. A study on the propagation law of pendulum-type wave in block-rock mass considering bimodulus characteristics[J]. Journal of Vibration and Shock, 2020, 39(24): 171-178

参考文献

[1] 钱七虎. 深部地下空间开发中的关键科学问题[A] .钱七虎院士论文选集[C].:中国岩石力学与工程学会,2007:20.
[2] M A Sadovsky. Natural lumpiness of rock. Dokl Akad Nauk,1979,247（4）：21-29.
[3] KurlenyaM V，V.N.Oparin，V.I.Vostrikov. On formation of elastic wave packages under impulse excitation of block media[J]. Dokl.Akad.Nauk SSSR,333(4):1-7.
[4] Kurlenya M V , Oparin V N , Vostrikov V I . Pendulum-type waves. Part I: State of the problem and measuring instrument and computer complexes[J]. Journal of Mining Science, 1996, 32(3):159-163.
[5] Kurlenya M V , Oparin V N , Vostrikov V I . Rock mechanics: Pendulum-type waves. Part II: Experimental methods and main results of physical modeling[J]. Journal of Mining Science, 1996, 32(4):245-273.
[6] Aleksandrova N I , Sher E N . Modeling of Wave Propagation in Block Media[J]. Journal of Mining Science, 2004, 40(6):579-587.
[7] Aleksandrova N I , Sher E N , Chernikov A G . Effect of viscosity of partings in block-hierarchical media on propagation of low-frequency pendulum waves[J]. Journal of Mining Science, 2008, 44(3):225-234.
[8] Aleksandrova N I , Chernikov A G , Sher E N . On attenuation of pendulum-type waves in a block rock mass[J]. Journal of Mining Science, 2006, 42(5):468-475.
[9] Saraikin V . Elastic properites of blocks in the low-frequency component of waves in A 2D medium[J]. Journal of Mining Science, 2009, 45(3):207-221.
[10] Saraikin V A . Calculation of wave propagation in the two-dimensional assembly of rectangular blocks[J]. Journal of Mining Science, 2008, 44(4):353-362.
[11] Saraikin V A, Chernikov A G, Sher E N. Wave propagation in two-dimensional block media with viscoelastic layers (Theory and experiment)[J]. Journal of Applied Mechanics & Technical Physics, 2015, 56(4):688-697.
[12] 王明洋,戚承志,钱七虎. 深部岩体块系介质变形与运动特征研究[J].岩石力学与工程学报，2005,24（16）：2825-2830.
Wang Mingyang, Qi Chengzhi, Qian Qihu. Study on deformation and motion characteristics of blocks in deep rock mass[J]. Chinese Journal of Rock Mechanics and Engineering, 2005, 24(16):2825-2830.
[13] 戚承志,钱七虎,王明洋等.岩体的构造层次及其成因[J].岩石力学与工程学报,2005(16):2838-2846.
Qi Chengzhi, Qian Qihu, Wang Mingyang, et al. Structural hierarchy of rock massif and mechanism of its formation[J]. Chinese Journal of Rock Mechanics and Engineering,2005(16):2838-2846.
[14] 潘一山,王凯兴.岩块尺度对摆型波传播影响研究[J].岩石力学与工程学报,2012,31(S2):3459-3465.
Pan Yishan, Wang Kaixing. Study effect of block-rock scale on pendulum-type wave propagation[J]. Chinese Journal of Rock Mechanics and Engineering, 2012,31(S2):3459-3465.
[15] 王凯兴,潘一山,曾祥华等.块系岩体间黏弹性性质对摆型波传播的影响[J].岩土力学,2013,34(S2):174-179.
Wang Kaixing, Pan Yishan, Zeng Xianghua,et al. Effect of viscoelasticity in block-rock mass partings to the propagation of pendulum waves[J]. Rock and soil mechanics,2013,34(S2):174-179.
[16] 王凯兴,潘一山,窦林名.摆型波传播过程块系岩体能量传递规律研究[J].岩土工程学报,2016,38(12):2309-2314.
Wang Kaixing, Pan Yishan, Dou Linming. Energy transfer in block-rock mass during propagation of pendulum-type waves[J]. Chinese journal of geotechnical engineering,2016,38(12):2309-2314.
[17]蒋海明,李杰,王明洋.块系岩体动态特性测试系统研制及其应用[J].振动与冲击,2018,37(21):29-34.
JIANG Haiming, Li jie, WANG Mingyang. Development of a test system for dynamic characteristics of blocky rock mass and its application[J]. Journal of Vibration and Shock,2018,37(21):29-34.
[18]吴晓,杨立军,黄翀等.双模量悬臂梁在线性分布荷载作用下的Kantorovich解[J].中南大学学报(自然科学版),2014,45(01):306-311.
WU Xiao, YANG Lijun, HUANG Chong , et al. Kantorovich solution for bimodulous cantilever under linear distributed loads[J]. Journal of Central South University (Science and Technology), 2014,45(01):306-311.
[19]吴晓,黄志刚,杨立军.考虑剪切效应时双模量梁的自由振动[J].振动与冲击,2015,34(24):160-163+176.
WU Xiao, HUANG Zhigang, YANG Lijun. Natural vibration of bimodulous beam considering shear effect[J]. Journal of Vibration and Shock, 2015,34(24):160-163+176.
[20]高强,张洪武,张亮等.拉压刚度不同桁架的动力参变量变分原理和保辛算法[J].振动与冲击,2013,32(04):179-184.
GAO Qiang, ZHANG Hongwu, ZHANG Liang, et al. Dynamic parametric variational principle and symplectic algorithm for trusses with different tensional and compressional stiffnesses[J]. Journal of Vibration & Shock, 2013, 32(4):179-184.
[21]赵荣国,徐友钜,陈忠富等.不同拉压特性结构振动分析的双线性近似方法[J].振动与冲击,2005(01):6-9+19+131.
ZHAO Rongguo, XU Youju, CHEN Zhongfu, et al.Bilinear method for vibration analysis of a structure with different tension and compression behavior[J]. Journal of Vibration & Shock, 2005(01):6-9+19+131.
[22] 孙作玉，王晖. 结构动力学与MATLAB程序[M].科学出版社.2010.9.
Sun Zuoyu, Wang Hui. Structural Dynamics and MATLAB Program[M]. Science Press..2010.9.
[23] 李杰,王明洋,蒋海明等.爆炸与冲击中的非线性岩石力学问题(Ⅰ):一维块系岩体波动特性的试验研究[J].岩石力学与工程学报,2018,37(01):38-50.
Jie L I , Mingyang W , Haiming J , et al. Nonlinear mechanical problems in rock explosion and shock. Part Ⅰ:Experimental research on properties of one-dimensional wave propagation in block rock masses[J]. Chinese Journal of Rock Mechanics and Engineering, 2018, 37(1):38-50.
[24] 贾宝新,陈扬,潘一山等.冲击载荷下块系岩体摆型波传播特性的试验研究[J].岩土力学,2015,36(11):3071-3076+3192.
BX Jia, Y Chen, YS Pan , et al. Experimental research on propagation characteristics of block-rock mass pendulum-type wave under shock load[J]. Rock and soil mechanics, 2015,36(11):3071-3076+3192.
[25] 姜耀东,赵毅鑫.我国煤矿冲击地压的研究现状:机制、预警与控制[J].岩石力学与工程学报,2015,34(11):2188-2204.
Yaodong J , Yixin Z . STATE OF THE ART:INVESTIGATION ON MECHANISM,FORECAST AND CONTROL OF COAL BUMPS IN CHINA[J]. Chinese Journal of Rock Mechanics and Engineering, 2015.