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Stability analysis of loose accumulation slopes under rainfall:case study of a high‑speed railway in Southwest China
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作者 Xin Wang Qian Su +2 位作者 Zongyu Zhang Feihu Huang Chenfang He 《Railway Engineering Science》 EI 2024年第1期95-106,共12页
The high and steep slopes along a high-speed railway in the mountainous area of Southwest China are mostly composed of loose accumulations of debris with large internal pores and poor stability,which can easily induce... The high and steep slopes along a high-speed railway in the mountainous area of Southwest China are mostly composed of loose accumulations of debris with large internal pores and poor stability,which can easily induce adverse geological disasters under rainfall conditions.To ensure the smooth construction of the high-speed railway and the subsequent safe operation,it is necessary to master the stability evolution process of the loose accumulation slope under rainfall.This article simulates rainfall using the finite element analysis software’s hydromechanical coupling module.The slope stability under various rainfall situations is calculated and analysed based on the strength reduction method.To validate the simulation results,a field monitoring system is established to study the deformation characteristics of the slope under rainfall.The results show that rainfall duration is the key factor affecting slope stability.Given a constant amount of rainfall,the stability of the slope decreases with increasing duration of rainfall.Moreover,when the amount and duration of rainfall are constant,continuous rainfall has a greater impact on slope stability than intermittent rainfall.The setting of the field retaining structures has a significant role in improving slope stability.The field monitoring data show that the slope is in the initial deformation stage and has good stability,which verifies the rationality of the numerical simulation method.The research results can provide some references for understanding the influence of rainfall on the stability of loose accumulation slopes along high-speed railways and establishing a monitoring system. 展开更多
关键词 High-speed railway Loose accumulation slope Slope stability analysis Rainfall effect Strength reduction
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Probabilistic approach for open pit bench slope stability analysis——A mine case study 被引量:10
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作者 Christian Obregon Hani Mitri 《International Journal of Mining Science and Technology》 SCIE EI CSCD 2019年第4期629-640,共12页
The geotechnical slope design of an open pit wall starts at the bench scale configuration.At this scale,the rock slope stability is governed primarily by the geological discontinuities within the rock mass and as a re... The geotechnical slope design of an open pit wall starts at the bench scale configuration.At this scale,the rock slope stability is governed primarily by the geological discontinuities within the rock mass and as a result,structurally-controlled failures(e.g.planar,wedge or toppling)are most likely to occur.The probabilistic approach offers a major advantage over the traditional deterministic method in that it accounts for the different degrees of variability and uncertainty often encountered in rock properties.This paper presents a bench slope stability assessment for an open pit mine in Peru using a probabilistic-based approach by coupling a kinematic analysis based on stereographic projection techniques followed by a kinetic analysis by means of the limit equilibrium method.Finally,these two probabilities are combined to provide an overall measure of the probability of failure(PoF)of the bench slope system.The case study is characterized by significant scatter in the geometrical and mechanical properties of the joints.Extensive surface mapping was conducted at 36 different sites following the ISRM suggested procedures.Several direct shear tests were carried out.It is shown that by combining field and laboratory measurements and engineering judgment,the probability density functions(PDF)of the discontinuity parameters can be obtained.These are then used in a Monte Carlo simulation process to compute both kinematic and kinetic probabilities of failure.The overall probability of failure aims to provide the design engineer with a tool to critically evaluate the bench performance from a geotechnical risk perspective and to provide a basis for future bench design optimization. 展开更多
关键词 MINE safety Rock SLOPE stability KINEMATIC analysis Probability of failure LIMIT EQUILIBRIUM analysis Case study
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Stability of mine ventilation system based on multiple regression analysis 被引量:12
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作者 JIA Ting-gui LIU Jian 《Mining Science and Technology》 EI CAS 2009年第4期463-466,共4页
In order to overcome the disadvantages of diagonal connection structures that are complex and for which it is difficult to derive the discriminant of the airflow directions of airways, we have applied a multiple regre... In order to overcome the disadvantages of diagonal connection structures that are complex and for which it is difficult to derive the discriminant of the airflow directions of airways, we have applied a multiple regression method to analyze the effect, of changing the rules of mine airflows, on the stability of a mine ventilation system. The amount of air ( Qj ) is determined for the major airway and an optimum regression equation was derived for Qi as a function of the independent variable ( Ri ), i.e., the venti- lation resistance between different airways. Therefore, corresponding countermeasures are proposed according to the changes in airflows. The calculated results agree very well with our practical situation, indicating that multiple regression analysis is simple, quick and practical and is therefore an effective method to analyze the stability of mine ventilation systems. 展开更多
关键词 ventilation network stability diagonal connection multiple regression analysis
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Influence of lane change on stability analysis for two-lane traffic flow 被引量:2
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作者 郑亮 马寿峰 钟石泉 《Chinese Physics B》 SCIE EI CAS CSCD 2011年第8期495-507,共13页
This paper deals mainly with the influence of lane changing behaviours on the stability of two-lane traffic flow under a periodic boundary condition. Following the description of an optimal velocity model for two vehi... This paper deals mainly with the influence of lane changing behaviours on the stability of two-lane traffic flow under a periodic boundary condition. Following the description of an optimal velocity model for two vehicle groups and the derivation of their stability conditions, the feedback signals, which involve information about vehicles from both lanes acting on the two-lane traffic system, are introduced into the optimal velocity model. The control signals play a role in alleviating the traffic jam only if the traffic state is in congestion, and their role will vanish if the traffic state is in the steady state. The numerical simulations show that lane changing behaviours can break the steady state of two-lane traffic flow and aggravate the traffic disturbance, but the control method would successfully suppress the traffic jam eventually, which implies that the conclusions obtained here have certain theoretical and practical significance. 展开更多
关键词 stability analysis optimal velocity model lane changing behaviours feedback signals
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Stability analysis for flow past a cylinder via lattice Boltzmann method and dynamic mode decomposition 被引量:2
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作者 张伟 王勇 钱跃竑 《Chinese Physics B》 SCIE EI CAS CSCD 2015年第6期378-384,共7页
A combination of the lattice Boltzmann method and the most recently developed dynamic mode decomposition is proposed for stability analysis. The simulations are performed on a graphical processing unit. Stability of t... A combination of the lattice Boltzmann method and the most recently developed dynamic mode decomposition is proposed for stability analysis. The simulations are performed on a graphical processing unit. Stability of the flow past a cylinder at supercritical state, Re = 50, is studied by the combination for both the exponential growing and the limit cycle regimes. The Ritz values, energy spectrum, and modes for both regimes are presented and compared with the Koopman eigenvalues. For harmonic-like periodic flow in the limit cycle, global analysis from the combination gives the same results as those from the Koopman analysis. For transient flow as in the exponential growth regime, the combination can provide more reasonable results. It is demonstrated that the combination of the lattice Boltzmann method and the dynamic mode decomposition is powerful and can be used for stability analysis for more complex flows. 展开更多
关键词 lattice Boltzmann dynamic mode decomposition stability analysis graphical processing unit
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Sensitivity analysis of influencing parameters in cavern stability 被引量:9
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作者 Abolfazl Abdollahipour Reza Rahmannejad 《International Journal of Mining Science and Technology》 SCIE EI 2012年第5期707-710,共4页
In order to analyze the stability of the underground rock structures,knowing the sensitivity of geomechanical parameters is important.To investigate the priority of these geomechanical properties in the stability of c... In order to analyze the stability of the underground rock structures,knowing the sensitivity of geomechanical parameters is important.To investigate the priority of these geomechanical properties in the stability of cavern,a sensitivity analysis has been performed on a single cavern in various rock mass qualities according to RMR using Phase 2.The stability of cavern has been studied by investigating the side wall deformation.Results showed that most sensitive properties are coefficient of lateral stress and modulus of deformation.Also parameters of Hoek-Brown criterion and r c have no sensitivity when cavern is in a perfect elastic state.But in an elasto-plastic state,parameters of Hoek-Brown criterion and r c affect the deformability;such effect becomes more remarkable with increasing plastic area.Other parameters have different sensitivities concerning rock mass quality(RMR).Results have been used to propose the best set of parameters for study on prediction of sidewall displacement. 展开更多
关键词 Sensitivity analysis Cavern stability Numerical methods RMR rating system
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STABILITY AND BIFURCATION ANALYSIS OF A DELAYED INNOVATION DIFFUSION MODEL 被引量:1
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作者 Rakesh KUMAR Anuj Kumar SHARMA Kulbhushan A GNIHOTRI 《Acta Mathematica Scientia》 SCIE CSCD 2018年第2期709-732,共24页
In this article, a nonlinear mathematical model for innovation diffusion with stage structure which incorporates the evaluation stage (time delay) is proposed. The model is analyzed by considering the effects of ext... In this article, a nonlinear mathematical model for innovation diffusion with stage structure which incorporates the evaluation stage (time delay) is proposed. The model is analyzed by considering the effects of external as well as internal influences and other demographic processes such as emigration, intrinsic growth rate, death rate, etc. The asymptotical stability of the various equilibria is investigated. By analyzing the exponential characteristic equation with delay-dependent coefficients obtained through the variational matrix, it is found that Hopf bifurcation occurs when the evaluation period (time delay, T) passes through a critical value. Applying the normal form theory and the center manifold argument, we de- rive the explicit formulas determining the properties of the bifurcating periodic solutions. To illustrate our theoretical analysis, some numerical simulations are also included. 展开更多
关键词 Innovation diffusion model stability analysis HOPF-BIFURCATION normal form theory center manifold theorem
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Two-dimensional face stability analysis in rock masses governed by the Hoek-Brown strength criterion with a new multi-horn mechanism 被引量:2
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作者 Junhao Zhong Xiaoli Yang 《International Journal of Mining Science and Technology》 SCIE EI CAS CSCD 2023年第8期963-976,共14页
The face stability problem is a major concern for tunnels excavated in rock masses governed by the Hoek-Brown strength criterion.To provide an accurate prediction for the theoretical solution of the critical face pres... The face stability problem is a major concern for tunnels excavated in rock masses governed by the Hoek-Brown strength criterion.To provide an accurate prediction for the theoretical solution of the critical face pressure,this study adopts the piecewise linear method(PLM)to account for the nonlinearity of the strength envelope and proposes a new multi-horn rotational mechanism based on the Hoek-Brown strength criterion and the associative flow rule.The analytical solution of critical support pressure is derived from the energy-work balance equation in the framework of the plastic limit theorem;it is formulated as a multivariable nonlinear optimization problem relying on 2m dependent variables(m is the number of segments).Meanwhile,two classic linearized measures,the generalized tangential technique(GTT)and equivalent Mohr-Coulomb parameters method(EMM),are incorporated into the analysis for comparison.Surprisingly,the parametric study indicates a significant improvement in support pressure by up to 13%compared with the GTT,and as expected,the stability of the tunnel face is greatly influenced by the rock strength parameters.The stress distribution on the rupture surface is calculated to gain an intuitive understanding of the failure at the limit state.Although the limit analysis is incapable of calculating the true stress distribution in rock masses,a rough approximation of the stress vector on the rupture surface is permitted.In the end,sets of normalized face pressure are provided in the form of charts for a quick assessment of face stability in rock masses. 展开更多
关键词 Face stability Piecewise linear method Hoek-Brown strength criterion Multi-horn rotational mechanism Limit analysis
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Three-dimensional MHD flow over a shrinking sheet: Analytical solution and stability analysis 被引量:1
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作者 Sumaira Afzal Saleem Asghar Adeel Ahmad 《Chinese Physics B》 SCIE EI CAS CSCD 2017年第1期285-289,共5页
The magnetohydrodynamic(MHD) steady and unsteady axisymmetric flows of a viscous fluid over a two-dimensional shrinking sheet are addressed. The mathematical analysis is carried out in the presence of a large magnet... The magnetohydrodynamic(MHD) steady and unsteady axisymmetric flows of a viscous fluid over a two-dimensional shrinking sheet are addressed. The mathematical analysis is carried out in the presence of a large magnetic field. The steady state problem results in a singular perturbation problem having an infinite domain singularity. The secular term appearing in the solution is removed and a two-term uniformly valid solution is derived using the Lindstedt–Poincaré technique. This asymptotic solution is validated by comparing it with the numerical solution. The solution for the unsteady problem is also presented analytically in the asymptotic limit of large magnetic field. The results of velocity profile and skin friction are shown graphically to explore the physical features of the flow field. The stability analysis of the unsteady flow is made to validate the asymptotic solution. 展开更多
关键词 steady and unsteady magnetohydrodynamic flows two-directional shrinking sheet exact and asymptotic solutions stability analysis
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3D stability analysis method of concave slope based on the Bishop method 被引量:6
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作者 Zhang Tianwen Cai Qingxiang +2 位作者 Han Liu Shu Jisen Zhou Wei 《International Journal of Mining Science and Technology》 SCIE EI CSCD 2017年第2期365-370,共6页
In order to study the stability control mechanism of a concave slope with circular landslide, and remove the influence of differences in shape on slope stability, the limit analysis method of a simplified Bishop metho... In order to study the stability control mechanism of a concave slope with circular landslide, and remove the influence of differences in shape on slope stability, the limit analysis method of a simplified Bishop method was employed. The sliding body was divided into strips in a three-dimensional model, and the lateral earth pressure was put into mechanical analysis and the three-dimensional stability analysis methods applicable for circular sliding in concave slope were deduced. Based on geometric structure and the geological parameters of a concave slope, the influence rule of curvature radius and the top and bottom arch height on the concave slope stability were analyzed. The results show that the stability coefficient decreases after growth, first in the transition stage of slope shape from flat to concave, and it has been confirmed that there is a best size to make the slope stability factor reach a maximum. By contrast with average slope, the stability of a concave slope features a smaller range of ascension with slope height increase, which indicates that the enhancing effect of a concave slope is apparent only with lower slope heights. 展开更多
关键词 Bishop method Concave slope Three-dimensional structure stability analysis
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Determination and stability analysis of ultimate open-pit slope under geomechanical uncertainty 被引量:10
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作者 Ali Moradi Afrapoli Morteza Osanloo 《International Journal of Mining Science and Technology》 SCIE EI 2014年第1期105-110,共6页
In open-pit mines,pit slope as one of the important parameters affects the mine economy and total minable reserve,and it is also affected by different uncertainties which arising from many sources.One of the most crit... In open-pit mines,pit slope as one of the important parameters affects the mine economy and total minable reserve,and it is also affected by different uncertainties which arising from many sources.One of the most critical sources of uncertainty effects on the pit slope design is rock mass geomechanical properties.By comparing the probability of failure resulted from deterministic procedure and probabilistic one,this paper investigated the effects of aforesaid uncertainties on open-pit slope stability in metal mines.In this way,to reduce the effect of variance,it implemented Latin Hypercube Sampling(LHS)technique.Furthermore,a hypothesis test was exerted to compare the effects on two cases in Middle East.Subsequently,the investigation approved high influence of geomechanical uncertainties on overall pit steepness and stability in both iron and copper mines,though on the first case the effects were just over. 展开更多
关键词 Safety factor Probability of failure Geomechanical property uncertainty Overall pit slope stability analysis
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Multiple Nonlinear Regression Analysis for the Stability of Non-overtopping Perforated Quarter Circle Breakwater 被引量:1
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作者 S.Binumol Subba Rao Arkal Vittal Hegde 《Journal of Marine Science and Application》 CSCD 2020年第2期293-300,共8页
Breakwaters have been built throughout the centuries for the coastal protection and the port development,but changes occurred in their layout and criteria used for the design.Quarter circle breakwater(QBW)is a new typ... Breakwaters have been built throughout the centuries for the coastal protection and the port development,but changes occurred in their layout and criteria used for the design.Quarter circle breakwater(QBW)is a new type evolved having advantages of both caisson type and perforated type breakwaters.The present study extracts the effect of change in the percentage of perforations on the stable conditions of seaside perforated QBW by using various physical models.The results were graphically analyzed using dimensionless parameters and it was concluded that there is a reduction in dimensionless stability parameter with an increase in steepness of the wave and change in water depth to the height of breakwater structure.Multiple non–linear regression analysis was done and the equation for the best fit curve with a higher regression coefficient was obtained by using Excel statistical software—XLSTAT. 展开更多
关键词 BREAKWATER PERFORATIONS Regression analysis stability Wave steepness Water depth
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High-frequency structure design and RF stability analysis of a 4-vane radio frequency quadrupole with pi-mode stabilizer loops 被引量:1
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作者 Xiao-Wen Zhu Claude Marchand +1 位作者 Olivier Piquet Michel Desmons 《Nuclear Science and Techniques》 SCIE EI CAS CSCD 2022年第3期113-125,共13页
Compact accelerator-based neutron source facilities are garnering attention and play an important and expanding role in material and engineering sciences,as well as in neutron science education and training.Neutrons a... Compact accelerator-based neutron source facilities are garnering attention and play an important and expanding role in material and engineering sciences,as well as in neutron science education and training.Neutrons are produced by bombarding a low-energy proton beam onto a beryllium or lithium target.In such an acceleratorbased neutron source,a radio frequency quadrupole(RFQ)is usually utilized to accelerate a high-intensity proton beam to a few MeV.This study mainly covers the highfrequency structure design optimizations of a 4-vane RFQ with pi-mode stabilizer loops(PISLs)and its RF stability analysis.A 176 MHz RFQ accelerator is designed to operate at a 10%duty factor and could accelerate an80 mA proton beam from 65 keV to 2.5 MeV within a length of 5.3 m.The adoption of PISLs ensures high RF stability,eases the operation of the accelerator,and implies less stringent alignment and machining tolerances. 展开更多
关键词 Accelerator-based neutron source 4-vane RFQ accelerator Pi-mode stabilizer loops Perturbative analysis Electromagnetic design Multipacting simulation
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Stability Analysis of Space Compcoite Structore and Its Ultimate Bearing Capacity 被引量:1
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作者 Zhao Lel Pen Junsheng Du Zhengguo (Department of Architectural Engineering,Southwest Jiaotong University)Chengdu610031, China 《Journal of Modern Transportation》 1995年第2期198-207,共10页
In this paper, using incremental equilibrium equation, the authors have studiedthe effeet of ultimate bearing capacity of every component on structuralstability, and discussed the stability analysis method for space c... In this paper, using incremental equilibrium equation, the authors have studiedthe effeet of ultimate bearing capacity of every component on structuralstability, and discussed the stability analysis method for space compositestructures. With the help of the test results for the concrete filled ateel tubeskeleton of the long-spen RC arch bridse, it is proved that the proposed methodis accurate and reliable. 展开更多
关键词 stability analysis ultimate bearing capacity space composite structure extremepoint collapse finite element method
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Energy Harvesting in Cognitive Networks with Cooperative Beamforming:Power Allocation and Stability Analysis
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作者 Jin-Xin Niu Wei Guo 《Journal of Electronic Science and Technology》 CAS CSCD 2019年第2期126-134,共9页
Energy harvesting (EH) is a promising technology to improve both energy efficiency and spectral efficiency in cognitive radio (CR) networks. However, due to the randomness of the harvested energy and the interference ... Energy harvesting (EH) is a promising technology to improve both energy efficiency and spectral efficiency in cognitive radio (CR) networks. However, due to the randomness of the harvested energy and the interference constraint at the primary users (PUs), the limited transmission power of secondary users (SUs) may reduce the service rate of SUs. To solve this problem, this paper investigates a cooperative transmission method where a zero-forcing beamforming method is used in the EH based secondary network. Considering the transmission power constraint and energy causality, we derive the closed-form solution of the optimal transmission power for the secondary source and relays, which achieves the maximal stable throughput of the secondary network. Numerical results show the impact of different system parameters to the maximal stable throughput. In addition, compared with the traditional decode-and-forward (DF) scheme, the cooperative beamforming method achieves higher stable throughput under an high quality source-to-relay channel. 展开更多
关键词 COOPERATIVE BEAMFORMING energy HARVESTING power ALLOCATION stability analysis
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The selection and stability analysis of stable and high Taxol-producing cell lines from Taxus cuspidata
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作者 Shujie Wang Hujun Wang +3 位作者 Tong Li Chun Li Yajun Zhou Xiangmei Zhong 《Journal of Forestry Research》 SCIE CAS CSCD 2018年第1期65-71,共7页
In this study to screen for stable, high Taxolproducing cell lines(CL5, CL12, and CL21) of Taxus cuspidata, stem tissues were used to induce calli, which were then subcultured nine times to establish suspension cell... In this study to screen for stable, high Taxolproducing cell lines(CL5, CL12, and CL21) of Taxus cuspidata, stem tissues were used to induce calli, which were then subcultured nine times to establish suspension cell cultures. From 97 cell lines obtained from conditioned cultures, 10 cell lines with high Taxol content were selected. Stability analyses on solid and liquid B5 media were then used to obtain lines that stably produced high levels of Taxol. Fresh biomass and Taxol production of the ninth generation became stable. Taxol content of selected CL5, CL12, and CL21 samples was 0.0448, 0.0477, and0.0428% of dry mass(DW), respectively. Proliferation of CL5, CL12 and CL21 was 346.3, 382.5, and 409.2%,respectively. From work over about 2 years, the three cell lines appear suitable for mass production of Taxol,promoting the industrialisation and commercial-scale production of Taxol using cell culture. 展开更多
关键词 PACLITAXEL Taxus cuspidata TAXOL Cell lines stability analysis
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An Approach to Stability Analysis of Sliding Motion in a Clearance Joint of a Four-Bar Mechanism
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作者 谢进 陈永 《Journal of Modern Transportation》 1999年第1期73-79,共7页
The sliding motion refers to the case when the pin of a revolute joint is in contact with the bush, following all or a segment of the circular trajectory inside the bearing. The equation of the sliding motion is obtai... The sliding motion refers to the case when the pin of a revolute joint is in contact with the bush, following all or a segment of the circular trajectory inside the bearing. The equation of the sliding motion is obtained based on Lagrangian approach. By use of the classical continuation method, the stationary points can be calculated, and their local stability is determined with the theory of stability. This paper focuses its analysis on the joint connecting the rocker of a four bar mechanism to the ground. The results show that there are some relations between the local stability of sliding motion and contact loss 展开更多
关键词 MECHANISM journal BEARING with CLEARANCE stability analysis
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Numerical Analysis on the Magneto-Elastic Stability of Current-Carrying Conductors: Aiming at Applications for the Tokamak System
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作者 李炜昕 袁振圣 +1 位作者 武文晶 陈振茂 《Plasma Science and Technology》 SCIE EI CAS CSCD 2013年第2期175-178,共4页
A novel method for calculating the magnetic stiffness matrix was proposed for the numerical analysis of the magneto-elastic stability of complicated current-carrying structures aim- ing for application in the magneto-... A novel method for calculating the magnetic stiffness matrix was proposed for the numerical analysis of the magneto-elastic stability of complicated current-carrying structures aim- ing for application in the magneto-elastic behavior of the tokamak system. A code based on the proposed method was developed and applied to the numerical analysis of two typical current- carrying structures. The good consistency of the numerical and analytical results validated the proposed method and the related numerical code. 展开更多
关键词 magneto-elastic stability magnetic stiffness current-carrying conductors nu-merical analysis
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Stability and performance analysis of a jump linear control system subject to digital upsets
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作者 王蕊 孙辉 马振洋 《Chinese Physics B》 SCIE EI CAS CSCD 2015年第4期6-15,共10页
This paper focuses on the methodology analysis for the stability and the corresponding tracking performance of a closed-loop digital jump linear control system with a stochastic switching signal. The method is applied... This paper focuses on the methodology analysis for the stability and the corresponding tracking performance of a closed-loop digital jump linear control system with a stochastic switching signal. The method is applied to a flight control system. A distributed recoverable platform is implemented on the flight control system and subject to independent digital upsets. The upset processes are used to stimulate electromagnetic environments. Specifically, the paper presents the scenarios that the upset process is directly injected into the distributed flight control system, which is modeled by independent Markov upset processes and independent and identically distributed (IID) processes. A theoretical performance analysis and simulation modelling are both presented in detail for a more complete independent digital upset injection. The specific examples are proposed to verify the methodology of tracking performance analysis. The general analyses for different configurations are also proposed. Comparisons among different configurations are conducted to demonstrate the availability and the characteristics of the design. 展开更多
关键词 stochastic process stability and performance analysis jump linear system digital upsets
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Further studies on stability analysis of nonlinear Roesser-type two-dimensional systems
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作者 代小林 《Chinese Physics B》 SCIE EI CAS CSCD 2014年第4期191-197,共7页
This paper is concerned with further relaxations of the stability analysis of nonlinear Roesser-type two-dimensional (2D) systems in the Takagi-Sugeno fuzzy form. To achieve the goal, a novel slack matrix variable t... This paper is concerned with further relaxations of the stability analysis of nonlinear Roesser-type two-dimensional (2D) systems in the Takagi-Sugeno fuzzy form. To achieve the goal, a novel slack matrix variable technique, which is homogenous polynomially parameter-dependent on the normalized fuzzy weighting functions with arbitrary degree, is developed and the algebraic properties of the normalized fuzzy weighting functions are collected into a set of augmented matrices. Consequently, more information about the normalized fuzzy weighting functions is involved and the relaxation quality of the stability analysis is significantly improved. Moreover, the obtained result is formulated in the form of linear matrix inequalities, which can be easily solved via standard numerical software. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed result. 展开更多
关键词 stability analysis Roesser-type two-dimensional system slack matrix variable reducing conser-vatism
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