本文選題：非線性動(dòng)力學(xué) + 應(yīng)力松弛��； 參考：《巖土力學(xué)》2016年06期

【摘要】：應(yīng)用Lyapunov指數(shù)法,對(duì)試驗(yàn)得到的深埋煤層應(yīng)力松弛系統(tǒng)演化對(duì)應(yīng)于各級(jí)應(yīng)變水平的時(shí)間序列進(jìn)行分析,科學(xué)重構(gòu)相空間,得到了每一遞進(jìn)應(yīng)變水平的相軌跡均不重復(fù)地圍繞各自對(duì)應(yīng)的歷史應(yīng)力中值而順次演化。采用分形幾何學(xué)方法進(jìn)行時(shí)間序列分析,定量揭示出煤樣應(yīng)力松弛系統(tǒng)演化的各層次間自相似性,并部分反映了經(jīng)典力學(xué)與非線性科學(xué)間的關(guān)系。得到了對(duì)應(yīng)各級(jí)應(yīng)變水平系統(tǒng)演化時(shí)間序列的非線性動(dòng)力學(xué)評(píng)價(jià)指標(biāo),并判定深埋煤層應(yīng)力松弛系統(tǒng)為復(fù)雜系統(tǒng)且具有典型混沌特征。深埋煤層應(yīng)力松弛系統(tǒng)演化的混沌程度及復(fù)雜程度呈下降規(guī)律,煤體內(nèi)部力學(xué)性質(zhì)弱化因素與強(qiáng)化因素之間競(jìng)爭(zhēng)最為激烈的階段,其混沌程度最高,而宏觀破壞后系統(tǒng)伴隨最低的混沌程度及復(fù)雜程度。
[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.
【作者單位】： 山東農(nóng)業(yè)大學(xué)水利土木工程學(xué)院;中國(guó)科學(xué)院武漢巖土力學(xué)研究所;棗莊礦業(yè)集團(tuán)公司田陳煤礦;
【基金】：國(guó)家自然科學(xué)基金項(xiàng)目(No.51004098;No.51574156) 山東省自然科學(xué)基金項(xiàng)目(No.ZR2014DM019)~~
【分類號(hào)】：TD311
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本文編號(hào)：1939251