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一类k步2k+1阶刚性稳定的二阶导数方法 被引量:1
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作者 王雷 吴新元 《南京大学学报(数学半年刊)》 CAS 2006年第1期149-156,共8页
本文导出新的二阶导数线性多步法,这些方法适合于求解刚性方程组,方程的稳定域由根轨迹法给出,数值试验显示方法是行之有效的.
关键词 二阶导数线性多步法 绝对稳定性区域 刚性稳定性 刚性系统
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Stability Analysis of Tubular Steel Shores
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作者 Febio Andre Frutuoso Lopes Femando Artur Nogueira Silva +1 位作者 Romilde Almeida de Oliveira Romildo Alves Berenguer 《Journal of Civil Engineering and Architecture》 2016年第5期563-567,共5页
The design of tubular steel scaffold-type shoring is usually performed by calculating the load capacity of the elements, taking into account their axial strength, mainly. Geometric stiffness effects and changes in the... The design of tubular steel scaffold-type shoring is usually performed by calculating the load capacity of the elements, taking into account their axial strength, mainly. Geometric stiffness effects and changes in the stiffness of connections are seldom considered. This paper assesses the stability of tubular steel shores using experimental and numerical approaches that take into account geometric nonlinearities as well as the features of the elements used to make the link between the steel tubes (pressed double coupler--right angle). The increase in overall stiffness generated by diagonal bars used in the analyzed models was examined. The results obtained show the importance of using P-delta analyses in this kind of structure in order to evaluate structure's overall stability even when compressive stresses are within acceptable ranges of code limits. 展开更多
关键词 Tubular steel shores global stability semi-rigid connections P-delta analyses.
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Stability and reinforcement analysis of rock slope based on elasto-plastic finite element method 被引量:2
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作者 刘耀儒 武哲书 +2 位作者 常强 李波 杨强 《Journal of Central South University》 SCIE EI CAS CSCD 2015年第7期2739-2751,共13页
The rigid body limit equilibrium method(RBLEM) and finite element method(FEM) are two widely used approaches for rock slope's stability analysis currently. RBLEM introduced plethoric assumptions; while traditional... The rigid body limit equilibrium method(RBLEM) and finite element method(FEM) are two widely used approaches for rock slope's stability analysis currently. RBLEM introduced plethoric assumptions; while traditional FEM relied on artificial factors when determining factor of safety(FOS) and sliding surfaces. Based on the definition of structure instability that an elasto-plastic structure is not stable if it is unable to satisfy simultaneously equilibrium condition, kinematical admissibility and constitutive equations under given external loads, deformation reinforcement theory(DRT) is developed. With this theory, plastic complementary energy(PCE) can be used to evaluate the overall stability of rock slope, and the unbalanced force beyond the yield surface could be the identification of local failure. Compared with traditional slope stability analysis approaches, the PCE norm curve to strength reduced factor is introduced and the unbalanced force is applied to the determination of key sliding surfaces and required reinforcement. Typical and important issues in rock slope stability are tested in TFINE(a three-dimensional nonlinear finite element program), which is further applied to several representatives of high rock slope's stability evaluation and reinforcement engineering practice in southwest of China. 展开更多
关键词 stability analysis rock slope plastic complementary energy(PCE) unbalanced forces elasto-plasticity FEM
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