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一类生物流体力学模型的稳定性
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作者 陈书宇 姚伟 丁光宏 《力学季刊》 CSCD 北大核心 2004年第1期101-106,共6页
在研究颅内压集中参数模型的基础上,改进自适应的龙格-库塔法对一类生物流体力学模型进行数值模拟。通过合理控制计算量,得到了微分方程近似解的局部截断误差的估计。使用矩阵特征值分析微分方程的稳定性,在实际生理范围内变化模型参数... 在研究颅内压集中参数模型的基础上,改进自适应的龙格-库塔法对一类生物流体力学模型进行数值模拟。通过合理控制计算量,得到了微分方程近似解的局部截断误差的估计。使用矩阵特征值分析微分方程的稳定性,在实际生理范围内变化模型参数,得到特征值随参数变化的关系,指出模型中存在实部为正的特征值。文章还讨论了控制矩阵特征值的变化对数值方法稳定步长的影响,并得到步长的取值范围。通过理论分析,得到控制方程的解随时间的发展和模型中生理参数的选取相关。分析了特征值变化的稳定性和参数的关系,并对模型进行改进,讨论其稳定性的情况。 展开更多
关键词 生物力学 生物流体力学模型 数值模拟 血液动力学 特征值条件数 稳定性
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Experimental investigation into stress-relief characteristics with upward large height and upward mining under hard thick roof 被引量:21
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作者 Ke Yang Xiang He +3 位作者 Litong Dou Wenjun Liu Li Sun Haisong Ye 《International Journal of Coal Science & Technology》 EI 2015年第1期91-96,共6页
According to geological conditions of No. 3 and No. 4 coal seams (namely A3 and B4) of the Pan'er coal mine and the parameters of panels 11223, 11224, and 11124 with fully-mechanical coal mining, we built 2D simila... According to geological conditions of No. 3 and No. 4 coal seams (namely A3 and B4) of the Pan'er coal mine and the parameters of panels 11223, 11224, and 11124 with fully-mechanical coal mining, we built 2D similar material simulation and FLAC3D numerical simulation models to investigate the development of mining-induced stress and the extraction effect of pressure-relief gas with large height and upward mining. Based on a comprehensive analysis of experimental data and observations, we obtained the deformation and breakage characteristics of strata overlying the coal seam, the development patterns of the mining-induced stress and fracture, and the size of the stress-relief area. The stress-relief effect was investigated and analyzed in consideration with mining height and three thick hard strata. Because of the group of three hard thick strata located in the main roof and the residual stress of mined panel 11124, the deformation, breakage, mining-induced stress and fracture development, and the stress-relief coefficient were discontinuous and asymmetrical. The breakage angle of the overlying strata, and the compressive and expansive zones of coal deformation were mainly controlled by the number, thickness, and strength of the hard stratum. Compared with the value of breakage angle derived by the traditional empirical method, the experimental value was lower than the traditional results by 3°-4°below the hard thick strata group, and by 13°-19° above the hard thick strata group. The amount of gas extracted from floor drainage roadway of B4 over 17 months was variable and the amount of gas per month differed considerably, being much smaller when panel 11223 influenced the area of the three hard thick strata. Generally, the stress-relief zone of No. 4 coal seam was small under the influence of the hard thick strata located in the main roof, which played an important role in delaying the breakage time and increasing the breakage space. In this study we gained understanding of the stress-relief mechanism influenced by the hard thick roof. The research results and engineering practice show that the main roof of the multiple hard thick strata is a critical factor in the design of panel layout and roadways for integrated coal exploitation and gas extraction, provides a theoretical basis for safe and high-efficient mining of coal resources. 展开更多
关键词 Integrated coal exploitation and gas extraction Large mining height Stress-relief effect Hard thick strata Mining-induced stress
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The First Eigenvalue of a Compact Manifold
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作者 ZHAODi YANGJian-an 《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2005年第2期200-205,共6页
This paper discusses the first eigenvalue on a compact Riemann manifold with the negative lower bound Ricci curvature. Let M be a compact Riemann manifold with the Ricci curvature≥-R, R=const. ≥0 and d is the diamet... This paper discusses the first eigenvalue on a compact Riemann manifold with the negative lower bound Ricci curvature. Let M be a compact Riemann manifold with the Ricci curvature≥-R, R=const. ≥0 and d is the diameter of M. Our main result is that the first eigenvalue λ1 of M satisfies λ1≥π^2/d^2-0.518R. 展开更多
关键词 Ricci curvature first eigenvalue
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