深埋煤层应力松弛状态演化试验与动力学分析

发布时间：2018-05-26 22:41

  本文选题：非线性动力学 + 应力松弛　； 参考：《岩土力学》2016年06期

【摘要】：应用Lyapunov指数法,对试验得到的深埋煤层应力松弛系统演化对应于各级应变水平的时间序列进行分析,科学重构相空间,得到了每一递进应变水平的相轨迹均不重复地围绕各自对应的历史应力中值而顺次演化。采用分形几何学方法进行时间序列分析,定量揭示出煤样应力松弛系统演化的各层次间自相似性,并部分反映了经典力学与非线性科学间的关系。得到了对应各级应变水平系统演化时间序列的非线性动力学评价指标,并判定深埋煤层应力松弛系统为复杂系统且具有典型混沌特征。深埋煤层应力松弛系统演化的混沌程度及复杂程度呈下降规律,煤体内部力学性质弱化因素与强化因素之间竞争最为激烈的阶段,其混沌程度最高,而宏观破坏后系统伴随最低的混沌程度及复杂程度。
[Abstract]:By using Lyapunov exponent method, the time series of stress relaxation system evolution in deep buried coal seams corresponding to different strain levels are analyzed, and the phase space is reconstructed scientifically. It is obtained that the phase trajectories of each progressive strain level evolve in sequence without repeating the corresponding historical stress median. The time series analysis using fractal geometry method reveals quantitatively the self-similarity of the evolution of stress relaxation system in coal samples, and partly reflects the relationship between classical mechanics and nonlinear science. The nonlinear dynamic evaluation indexes corresponding to the evolution time series of different strain level system are obtained, and the stress relaxation system in deep buried coal seam is determined to be a complex system with typical chaotic characteristics. The degree of chaos and complexity of the evolution of stress relaxation system in deep buried coal seam is decreasing, and the degree of chaos is the highest in the stage in which the competition between the weakening factors of mechanical properties of coal body and the strengthening factors is the most intense. However, the chaos degree and complexity of the system are the lowest after macroscopic destruction.
【作者单位】： 山东农业大学水利土木工程学院;中国科学院武汉岩土力学研究所;枣庄矿业集团公司田陈煤矿;
【基金】：国家自然科学基金项目(No.51004098;No.51574156) 山东省自然科学基金项目(No.ZR2014DM019)~~
【分类号】：TD311
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本文编号：1939251