块系岩体摆型波能量转化和耗散规律
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TU91

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国家自然科学基金(51774018);长江学者和创新团队发展计划(IRT_17R06)


Research on the law of energy conversion and dissipation of pendulum wave in blocky rock mass
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National Natural Science Foundation of China(51774018);Supported by Program for Changjiang Scholars and Innovative Research Team in University(IRT_17R06)

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    摘要:

    摆型波现象发生在块系岩体之中,其特性迥异于连续介质中的弹性波。摆型波携带大的能量,易引发冲击地压等各种工程地质灾害。本文基于一维块系岩体中摆型波传播动力模型,利用中心差分法,求解块体系统在不同刚度、黏度及块体尺度情况下摆型波的能量值,分析上述因素变化对能量转化和耗散的影响。研究表明:随着刚度系数的增大,每个块体弹性势能的最大值也增大,系统动能和弹性势能的衰减周期减小;黏性系数越大,每个块体弹性势能最大值越小,每个衰减周期内的能量峰值显著降低,能量衰减速度变快;随着块体尺度的减小,系统动能和弹性势能的衰减周期变大,衰减周期的能量峰值显著降低,系统总能量在前期的衰减速度变快。受到固定端的影响,靠近固定端的块体的最大动能和最大弹性势能会有所增加,且最大弹性势能增加的幅度远大于动能增加的幅度。上述研究加深了我们对于深部块系岩体的动力学性质的了解,对预防工程灾害、保障工程安全具有重要意义。

    Abstract:

    Pendulum wave occurs in the blocky rock mass, and is very different from the elastic wave in the continuum medium. Pendulum wave carries large energy and and can cause easily various engineering geological disasters, such as rock bursts. Based on the one-dimensional dynamic model of pendulum wave propagation in block system rock mass, the energy value of pendulum wave in block system with different stiffness, viscosity and block size is solved by using central difference method, and the influence of the above factors on energy conversion and dissipation is analyzed. The results show that with the increase of stiffness coefficient, the maximum value of the elastic potential energy of each block also increases and the attenuation period of kinetic energy and elastic potential energy of the system decrease; the larger the viscosity coefficient is, the smaller the maximum value of elastic potential energy of each block is, the energy peak decays more rapidly in each period, and the energy decay rate becomes faster; with the decrease of block size, the period of the system kinetic energy and elastic potential energy becomes larger, the energy peak decreases significantly, and the decay rate of the total energy of the system in the early stage becomes faster. Affected by the fixed end, the maximum kinetic energy and maximum elastic potential energy of the blocks close to the fixed end will increase, and the increase in the maximum elastic potential energy is much larger than the increase in the kinetic energy. Based on the above research, our understanding of the dynamic properties of deep block rock mass is further deepened, which is of great significance to prevent engineering disasters and ensure engineering safety.

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朱守东,戚承志,姜宽,等. 块系岩体摆型波能量转化和耗散规律[J]. 科学技术与工程, 2021, 21(27): 11760-11767.
Zhu Shoudong, Qi Chengzhi, Jiang Kuan, et al. Research on the law of energy conversion and dissipation of pendulum wave in blocky rock mass[J]. Science Technology and Engineering,2021,21(27):11760-11767.

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  • 收稿日期:2021-01-21
  • 最后修改日期:2021-07-14
  • 录用日期:2021-05-24
  • 在线发布日期: 2021-09-26
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