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用平衡结构法讨论大系统实用稳定性和极限环存在性
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作者 贺建勋 郑列列 《厦门大学学报(自然科学版)》 CAS CSCD 北大核心 1990年第3期233-239,共7页
首先简介由本文作者提出的研究大系统稳定性的平衡结构法。其次应用平衡结构法讨论大系统的实用稳定性,并研究了一般二维非线性动态系统的极限环存在问题。最后给出一个实例说明所得结果的应用。
关键词 平衡结构法 大系统 稳定性 极限环
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子系统为s≥3的非线性大系统在近平衡区内的稳定性
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作者 贺建勋 郑列列 《应用数学》 CSCD 北大核心 1991年第2期1-6,共6页
本文采用文[1,2]中提出的平衡结构法研究子系统s≥3的非线性大系统在近平衡区内的稳定性;得到了判别这类大系统稳定性的两个一般性准则.
关键词 大系统 稳定性分析 平衡结构法
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New Exact Solutions and Special Coherent Structures for Coupled Integrable Dispersionless Equation
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作者 Naranmandula 《Communications in Theoretical Physics》 SCIE CAS CSCD 2009年第6期1037-1041,共5页
Using improved homogeneous balance method, we obtain new exact solutions for the coupled integrable dispersionless equation. On the basis of these exact solutions, we find some new interesting coherent structures by s... Using improved homogeneous balance method, we obtain new exact solutions for the coupled integrable dispersionless equation. On the basis of these exact solutions, we find some new interesting coherent structures by selecting arbitrary functions appropriately. 展开更多
关键词 exact solution coherent structure coupled integrable dispersionless equation improved homogeneous balance method
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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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Performance Prediction of Structured Packing Column for Cryogenic Air Separation with Hybrid Model
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作者 张小斌 朱佳凯 +3 位作者 吴钊 熊炜 张学军 邱利民 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2014年第8期930-936,共7页
A detailed investigation of a thermodynamic process in a structured packing distillation column is of great impor- tance in prediction of process efficiency. In order to keep the simplicity of an equilibrium stage mod... A detailed investigation of a thermodynamic process in a structured packing distillation column is of great impor- tance in prediction of process efficiency. In order to keep the simplicity of an equilibrium stage model and the accu- racy of a non-equilibrium stage model, a hybrid model is developed to predict the structured packing column in cryogenic air separation. A general solution process for the equilibrium stage model is developed to solve the set of equations of the hybrid model, in which a separation efficiency function is introduced to obtain the resulting tri-diagonal matrix and its solution by the Thomas algorithm. As an example, the algorithm is applied to analyze an upper column of a cryogenic air separation plant with the capacity of 17000 m3·h-1. Rigorous simulations are conducted using Aspen RATEFRAC module to validate the approach. The temperature and composition distributions are in a good agreement with the two methods. The effects of inlet/outlet position and flow rate on the temperature and composition distributions in the column are analyzed. The results demonstrate that the hybrid model and the solution algorithms are effective in analvzin~ the distillation process for a a cryogenic structured packing column. 展开更多
关键词 DISTILLATION Cryogenic air separation Structured packings Hybrid model ASPEN
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Interface stress element method and its application in analysis of anti-sliding stability of gravity dam 被引量:4
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作者 ZHANG Qing WANG ZhiQiang XIA XiaoZhou 《Science China(Technological Sciences)》 SCIE EI CAS 2012年第12期3285-3291,共7页
The rigid body limit equilibrium method (LEM) and the nonlinear finite element method (NFEM) are often used in the analysis of anti-sliding stability of gravity dam. But LEM cannot reflect the process of progressi... The rigid body limit equilibrium method (LEM) and the nonlinear finite element method (NFEM) are often used in the analysis of anti-sliding stability of gravity dam. But LEM cannot reflect the process of progressive instability and mechanical mecha- nism on failure for rock mass while NFEM is difficult to use to solve the displacement discontinuity of weak structural plane. Combining the research with Xiangjiaba Hydropower Station project, the analysis of anti-sliding stability for segment 12# of the dam has been carried out using interface stress element method (ISEM). The results can reflect the most dangerous location, the scope and distribution of failure zone in weak structural plane, and present the process of progressive failure in dam foun- dation as well as the safety coefficient of possible sliding body. These achievements provide an important technical reference for dam foundation treatment measures. The computational results show that ISEM can naturally describe discontinuous de- formation of rock mass such as dislocation, openness and sliding. Besides, this method is characterized by good adaptability, convenient calculation and high compatibility, thus it is regarded as an effective way to make an analysis of anti-sliding stabil- ity of gravity dam 展开更多
关键词 discontinuous mechanics interface stress element method gravity dam analysis of anti-sliding stability
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