皮埃尔·西蒙·拉普拉斯(Pierre Simon Laplace,1749-1827),被称为'法国的牛顿',分析概率论奠基人,发明拉普拉斯定理,集大成天体力学。他促进分析概率论发展,引领古典概率论紧跟世界潮流,也为现代概率论出现埋下坚实伏...皮埃尔·西蒙·拉普拉斯(Pierre Simon Laplace,1749-1827),被称为'法国的牛顿',分析概率论奠基人,发明拉普拉斯定理,集大成天体力学。他促进分析概率论发展,引领古典概率论紧跟世界潮流,也为现代概率论出现埋下坚实伏笔,积极将概率论的应用拓展至决策理论、海事保险等领域。拉普拉斯定理不单单应用于物理学领域,在医学领域的应用也惊为天人,特别在心血管、泌尿和肛肠等学科中,对临床症状的解释及治疗方法的选择起至关重要的作用。拉普拉斯还用微积分进行古典力学的研究,成功解释牛顿遗留下的多行星运转相互作用问题。展开更多
To study the behavior of overlying strata and the likelihood of water inrush and quicksand with different mining sequences under an unconsolidated alluvium aquifer, a numerical model based on the fluid-solid coupling ...To study the behavior of overlying strata and the likelihood of water inrush and quicksand with different mining sequences under an unconsolidated alluvium aquifer, a numerical model based on the fluid-solid coupling theory was con- structed by FLAC3D. Simulation results revealed that the mining sequences had a significant influence on the seepage, dis- placement and failure characteristics of the overlying strata. In this kind of geological and hydrogeological conditions, the workface close to the outcrop of coal seam easily suffers from water inrush and quicksand during mining. In the simulation re- sults, the plastic zone, vertical displacement and pore water pressure in the overlying strata of the workface decrease more or less using the upward mining sequence than using the downward mining sequence. Therefore, the application of the upward mining sequence in the process of mining is preferential to prevent water inrush and quicksand.展开更多
Composite laminates are made up of composite single-plies sequence. The plies generally have the same fiber and resin and their difference in fiber orientation results in a difference in various laminates' strengt...Composite laminates are made up of composite single-plies sequence. The plies generally have the same fiber and resin and their difference in fiber orientation results in a difference in various laminates' strength. Tsai-Hill failure criterion as a limiting state function to analyze structural reliability of a composite laminate and estimation theory in order to estimate statistical parameters of effective stress were utilized to construct probability box. Finally, we used the Monte Carlo simulation and FERUM software to calculate the upper and lower bounds of probability of failure.展开更多
文摘皮埃尔·西蒙·拉普拉斯(Pierre Simon Laplace,1749-1827),被称为'法国的牛顿',分析概率论奠基人,发明拉普拉斯定理,集大成天体力学。他促进分析概率论发展,引领古典概率论紧跟世界潮流,也为现代概率论出现埋下坚实伏笔,积极将概率论的应用拓展至决策理论、海事保险等领域。拉普拉斯定理不单单应用于物理学领域,在医学领域的应用也惊为天人,特别在心血管、泌尿和肛肠等学科中,对临床症状的解释及治疗方法的选择起至关重要的作用。拉普拉斯还用微积分进行古典力学的研究,成功解释牛顿遗留下的多行星运转相互作用问题。
文摘To study the behavior of overlying strata and the likelihood of water inrush and quicksand with different mining sequences under an unconsolidated alluvium aquifer, a numerical model based on the fluid-solid coupling theory was con- structed by FLAC3D. Simulation results revealed that the mining sequences had a significant influence on the seepage, dis- placement and failure characteristics of the overlying strata. In this kind of geological and hydrogeological conditions, the workface close to the outcrop of coal seam easily suffers from water inrush and quicksand during mining. In the simulation re- sults, the plastic zone, vertical displacement and pore water pressure in the overlying strata of the workface decrease more or less using the upward mining sequence than using the downward mining sequence. Therefore, the application of the upward mining sequence in the process of mining is preferential to prevent water inrush and quicksand.
文摘Composite laminates are made up of composite single-plies sequence. The plies generally have the same fiber and resin and their difference in fiber orientation results in a difference in various laminates' strength. Tsai-Hill failure criterion as a limiting state function to analyze structural reliability of a composite laminate and estimation theory in order to estimate statistical parameters of effective stress were utilized to construct probability box. Finally, we used the Monte Carlo simulation and FERUM software to calculate the upper and lower bounds of probability of failure.
