›› 2018, Vol. 39 ›› Issue (6): 2175-2183.doi: 10.16285/j.rsm.2016.2047

• 岩土工程研究 • 上一篇    下一篇

位移不连续模型在黏弹性节理刚度计算的应用

王观石1, 2,熊 鹏2,胡世丽2,孟世明2,龙 平2,谭 谈3   

  1. (1. 江西理工大学 工程研究院,江西 赣州 341000;2. 江西理工大学 建筑与测绘工程学院,江西 赣州 341000; 3. 新疆大学 数学与系统科学学院,新疆 乌鲁木齐 830046
  • 收稿日期:2016-09-21 出版日期:2018-06-11 发布日期:2018-07-03
  • 作者简介:王观石,男,1977年生,博士,副教授,主要从事岩体动力学和地下水渗流力学等方面的研究。
  • 基金资助:

    国家自然科学基金(No.41462009,No.51104069)

Application of displacement discontinuity model for calculating the viscoelastic stiffness of joints

WANG Guan-shi1, 2, XIONG Peng2, HU Shi-li2, MENG Shi-ming2, LONG Ping2, TAN Tan3   

  1. 1. Institute of Engineering and Research, Jiangxi University of Science and Technology, Ganzhou, Jiangxi 341000, China; 2. School of Architectural and Surveying Engineering, Jiangxi University of Science and Technology, Ganzhou, Jiangxi 341000, China; 3. College of Mathematics and System Sciences, Xinjiang University, Urumqi, Xinjiang 830046, China
  • Received:2016-09-21 Online:2018-06-11 Published:2018-07-03
  • Supported by:

    This work was supported by the National Natural Science Foundation of China (41462009, 51104069).

摘要: 考虑节理质量对应力波传播的影响,运用波的位移位函数推导了谐波在厚黏弹性节理的透、反射系数计算公式,采用波形相关系数描述子波穿过黏弹性节理的波形变化,讨论具有一定厚度的黏弹性节理简化位移不连续模型的适用条件。设厚黏弹性节理模型和位移不连续模型的透射波波形相关系数为0.9时对应的节理厚度为临界厚度,岩体与节理的阻抗比对临界厚度的影响很小;临界厚度随子波中心频率增大呈负指数减小,入射角越大,临界厚度随中心频率减小得越慢。试验数据分析表明:当节理厚度为0.03 m时,采用位移不连续模型和厚黏弹性模型计算得到的节理力学参数非常接近,随节理厚度和子波中心频率增加,运用位移不连续模型的计算结果偏差越大,试验结果与理论分析是一致的。

关键词: 位移不连续模型, 黏弹性节理, 临界厚度, 节理刚度

Abstract: Considering the effect of joint mass on the propagation of stress waves, this study derived formulas for the transmission and reflection coefficients of harmonic waves through the thick viscoelastic joints based on the displacement function of waves. The correlation coefficient of waves was used to describe the waveform changes of the wavelet through viscoelastic joints. Then, we discussed the applicable conditions of a simplified displacement discontinuity model with thick viscoelastic joints. When the correlation coefficient of transmission wave was 0.9, which was calculated by the thick viscoelastic joint model and the displacement discontinuity model, the corresponding thickness of the joint was defined as critical thickness. It was found that there was little impact of the impedance ratio between the rock mass and joint on the critical thickness. The relationship between the critical thickness and the centre frequency followed a negative exponential law. Meanwhile, the larger incident angle was, the lesser impact of centre frequency on critical thickness was. The field tests showed that when the thickness of the joint was 0.03 m, mechanical parameters were extremely close to the results calculated by the thick viscoelastic joint model and the displacement discontinuity model. With the increase of the joint thickness and the centre frequency of the wavelet, the deviation of calculated results using the displacement discontinuity model was larger, which was consistent with the results of theoretical analysis.

Key words: displacement discontinuity model, viscoelastic joint, critical thickness, joint stiffness

中图分类号: 

  • TU 452
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