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Is Dynesys dynamic stabilization system superior to posterior lumbar fusion in the treatment of lumbar degenerative diseases? 被引量:7
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作者 Bao-Gan Peng Chun-Hua Gao 《World Journal of Clinical Cases》 SCIE 2020年第22期5496-5500,共5页
Dynesys,a pedicle-based dynamic stabilization system,was introduced to overcome some undesirable complications of fusion procedures.Nevertheless,the theoretical advantages of Dynesys over fusion have not been clearly ... Dynesys,a pedicle-based dynamic stabilization system,was introduced to overcome some undesirable complications of fusion procedures.Nevertheless,the theoretical advantages of Dynesys over fusion have not been clearly confirmed.The purpose of this editorial was to compare clinical and radiological outcomes of patients who underwent Dynesys system with those who underwent posterior lumbar fusion according to the existing literature and to see if the application of the Dynesys system is superior to the traditional lumbar fusion surgery.According to published clinical reports,the short-term effects of the Dynesys dynamic stabilization system are similar to that of traditional lumbar fusion surgery.Three comparative studies of Dynesys dynamic stabilization and fusion surgery with medium-term follow-up are encouraging.However,the results from four single-treatment-arm and small-sample studies of case series with long-term follow-up were not encouraging.In the present circumstances,it is not possible to conclude that the Dynesys dynamic stabilization system is superior to fusion surgery for lumbar degenerative diseases. 展开更多
关键词 dynamic stabilization system Lumbar fusion Lumbar degenerative diseases COMPLICATION
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Lumbar disc rehydration in the bridged segment using the BioFlex dynamic stabilization system: A case report and literature review 被引量:1
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作者 Yong-Chao Li Xiao-Fei Feng +2 位作者 Xiao-Dong Pang Jun Tan Bao-Gan Peng 《World Journal of Clinical Cases》 SCIE 2020年第10期1958-1965,共8页
BACKGROUND In recent years,the mechanical concept of intervertebral disc regeneration has become more and more popular due to the increasing awareness of the importance of preservation of spine movement.Interestingly,... BACKGROUND In recent years,the mechanical concept of intervertebral disc regeneration has become more and more popular due to the increasing awareness of the importance of preservation of spine movement.Interestingly,there is increasing evidence,however,that dynamic stabilization systems may compensate nonphysiological loads,limit pathological movement,normalize disc height and intradiscal pressure,and provide an adaptive environment for disc regeneration.CASE SUMMARY The patient was a 54-year-old man,who presented with a 10-year history of mechanical back pain,which had become progressively serious and radiated into the left lower limb with numbness 3 mo prior.He had decreased muscle strength(class IV)of the left dorsal extensor and plantar flexor.Magnetic resonance imaging scans showed L3-S1 disc degeneration and L4-L5 disc herniation.Because the patient did not respond to various conservative treatments,he underwent a posterior L4-5 discectomy with fixation of the BioFlex dynamic stabilization system(Bio-Spine,Seoul,Korea).Preoperative symptoms were relieved and lumbar function was markedly improved after the operation.L4-L5 disc rehydration of instrumented segment was noted on magnetic resonance imaging at the 2-year follow-up.CONCLUSION Rehydration of the degenerated disc in our patient indicates that the BioFlex dynamic stabilization system may promote disc regeneration.Further research is needed to provide more evidence to support lumbar disc rehydration in the bridged segment using this system. 展开更多
关键词 Disc regeneration dynamic stabilization system Degenerative disc disease Magnetic resonance imaging BioFlex Case report
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Dynesys dynamic stabilization system for the lumbar degenerative disease: a preliminary report from China 被引量:16
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作者 LI Hai-peng LI Fang +3 位作者 GUAN Kai ZHAO Guang-ming SHAN Jian-lin SUN Tian-sheng 《Chinese Medical Journal》 SCIE CAS CSCD 2013年第22期4265-4269,共5页
Background Dynesys dynamic stabilization system in 2007. Therefore, it was a new technique for Ch about Dynesys in China. The objective of this study degenerative disease in China. was first implanted in patients in 1... Background Dynesys dynamic stabilization system in 2007. Therefore, it was a new technique for Ch about Dynesys in China. The objective of this study degenerative disease in China. was first implanted in patients in 1994, and introduced to China nese orthopedics and hence necessary to collect clinical data was to report the preliminary results of Dynesys for the lumbar Methods Twenty-seven patients were treated with the Dynesys between July 2007 and January 2009. The diagnosis included degenerative spondylolisthesis (12 cases), degenerative spinal stenosis (nine cases), and lumbar intervertebral disc herniation (six cases). Back pain and leg pain were evaluated using 100-mm visual analog scales (VAS). The Oswestry Disability Index (ODI) was used to evaluate the patients' function. The intervertebral disc height and range of motion at the operative level were taken on radiographs. Results All the patients were followed-up, with an average of (22.40±4.23) months (range 15±32 months). VAS of back pain and leg pain were improved significantly (P 〈0.05) at foUow-up. The ODI scores were reduced from (62.58±12.01)% preoperatively to (15.01±5.71)% at follow-up (P 〈0.05). The preoperative mean height of the intervertebral disc was (11.21±1.58) mm (range 8.5±13.8 mm) and mean was (10.10±1.78) mm (range 7.0±13.4 mm) at follow-up (P 〈0.05). The mean range of motion of the implanted segment was (6.00±1.79)° (range 2.5-9.3°) preoperatively and (5.47±1.27)° (range 2.9±7.8°) at follow-up (P=0.11). Conclusions The preliminary results of Dynesys for the lumbar degenerative disease in China are similar to the published results of other countries. It can significantly improve the clinic symptoms and preserved motion at the level of implantation. However, the long-term follow-up data need to be collected. 展开更多
关键词 lumbar degenerative disease dynamic stabilization DYNESYS China
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Trajectory planning for multi-robot coordinated towing system based on stability
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作者 赵志刚 ZHAO Xiangtang +2 位作者 WEI Qizhe SU Cheng MENG Jiadong 《High Technology Letters》 EI CAS 2024年第1期43-51,共9页
Given the unconstrained characteristics of the multi-robot coordinated towing system,the rope can only provide a unidirectional constraint force to the suspended object,which leads to the weak ability of the system to... Given the unconstrained characteristics of the multi-robot coordinated towing system,the rope can only provide a unidirectional constraint force to the suspended object,which leads to the weak ability of the system to resist external disturbances and makes it difficult to control the trajectory of the suspended object.Based on the kinematics and statics of the multi-robot coordinated towing system with fixed base,the dynamic model of the system is established by using the Newton-Euler equations and the Udwadia-Kalaba equations.To plan the trajectories with high stability and strong control,trajectory planning is performed by combining the dynamics and stability of the towing system.Based on the dynamic stability of the motion trajectory of the suspended object,the stability of the suspended object is effectively improved through online real-time planning and offline manual adjustment.The effectiveness of the proposed method is verified by comparing the motion stability of the suspended object before and after planning.The results provide a foundation for the motion planning and coordinated control of the towing system. 展开更多
关键词 towing system unconstrained system trajectory planning dynamic stability
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Nonlinear dynamics of flexible tethered satellite system subject to space environment 被引量:6
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作者 Bensong YU Dongping JIN Hao WEN 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2016年第4期485-500,共16页
The paper studies the nonlinear dynamics of a flexible tethered satellite system subject to space environments, such as the J2 perturbation, the air drag force, the solar pressure, the heating effect, and the orbital ... The paper studies the nonlinear dynamics of a flexible tethered satellite system subject to space environments, such as the J2 perturbation, the air drag force, the solar pressure, the heating effect, and the orbital eccentricity. The flexible tether is modeled as a series of lumped masses and viscoelastic dampers so that a finite multi- degree-of-freedom nonlinear system is obtained. The stability of equilibrium positions of the nonlinear system is then analyzed via a simplified two-degree-freedom model in an orbital reference frame. In-plane motions of the tethered satellite system are studied numerically, taking the space environments into account. A large number of numerical simulations show that the flexible tethered satellite system displays nonlinear dynamic characteristics, such as bifurcations, quasi-periodic oscillations, and chaotic motions. 展开更多
关键词 tethered satellite system flexible tether model space environment stability nonlinear dynamics
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Comparing dynamical systems concepts and techniques for biomechanical analysis 被引量:3
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作者 Richard E.A.van Emmerik Scott W.Ducharme +1 位作者 Avelino C.Amado Joseph Hamill 《Journal of Sport and Health Science》 SCIE 2016年第1期3-13,共11页
Traditional biomechanical analyses of human movement are generally derived from linear mathematics.While these methods can be useful in many situations,they do not describe behaviors in human systems that are predomin... Traditional biomechanical analyses of human movement are generally derived from linear mathematics.While these methods can be useful in many situations,they do not describe behaviors in human systems that are predominately nonlinear.For this reason,nonlinear analysis methods based on a dynamical systems approach have become more prevalent in recent literature.These analysis techniques have provided new insights into how systems(1) maintain pattern stability,(2) transition into new states,and(3) are governed by short-and long-term(fractal) correlational processes at different spatio-temporal scales.These different aspects of system dynamics are typically investigated using concepts related to variability,stability,complexity,and adaptability.The purpose of this paper is to compare and contrast these different concepts and demonstrate that,although related,these terms represent fundamentally different aspects of system dynamics.In particular,we argue that variability should not uniformly be equated with stability or complexity of movement.In addition,current dynamic stability measures based on nonlinear analysis methods(such as the finite maximal Lyapunov exponent) can reveal local instabilities in movement dynamics,but the degree to which these local instabilities relate to global postural and gait stability and the ability to resist external perturbations remains to be explored.Finally,systematic studies are needed to relate observed reductions in complexity with aging and disease to the adaptive capabilities of the movement system and how complexity changes as a function of different task constraints. 展开更多
关键词 Adaptability Complexity dynamical systems Nonlinear dynamics Stability Variability
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Dynamic Stability Analysis of Linear Time-varying Systems via an Extended Modal Identification Approach 被引量:2
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作者 Zhisai MA Li LIU +3 位作者 Sida ZHOU Frank NAETS Ward HEYLEN Wim DESMET 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2017年第2期459-471,共13页
The problem of linear time-varying(LTV) system modal analysis is considered based on time-dependent state space representations, as classical modal analysis of linear time-invariant systems and current LTV system mo... The problem of linear time-varying(LTV) system modal analysis is considered based on time-dependent state space representations, as classical modal analysis of linear time-invariant systems and current LTV system modal analysis under the "frozen-time" assumption are not able to determine the dynamic stability of LTV systems. Time-dependent state space representations of LTV systems are first introduced, and the corresponding modal analysis theories are subsequently presented via a stabilitypreserving state transformation. The time-varying modes of LTV systems are extended in terms of uniqueness, and are further interpreted to determine the system's stability. An extended modal identification is proposed to estimate the time-varying modes, consisting of the estimation of the state transition matrix via a subspace-based method and the extraction of the time-varying modes by the QR decomposition. The proposed approach is numerically validated by three numerical cases, and is experimentally validated by a coupled moving-mass simply supported beam exper- imental case. The proposed approach is capable of accurately estimating the time-varying modes, and provides anew way to determine the dynamic stability of LTV systems by using the estimated time-varying modes. 展开更多
关键词 Linear time·varying systems · Extended modal identification · dynamic stability analysis · Time·varying modes
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Spinal Manipulation and Dynamic Neuromuscular Stabilization Care for a 4-Year-Old Patient with Agenesis of the Corpus Callosum 被引量:1
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作者 Michael Oppelt Virginia Barber +1 位作者 Susan Larkin Brennan Roberts 《Journal of Behavioral and Brain Science》 2016年第12期498-508,共12页
The purpose of this case study is to describe the chiropractic care of a 4-year-old male patient with agenesis of the corpus callosum. Methods: Chiropractic care plan consisted of weekly appointments with the inclusio... The purpose of this case study is to describe the chiropractic care of a 4-year-old male patient with agenesis of the corpus callosum. Methods: Chiropractic care plan consisted of weekly appointments with the inclusion of at-home exercises coupled with academic intervention of physical and occupational therapies and assistive gait devices. Functional changes were monitored via objective clinic findings, independent clinical examination, and parental observation. Results: Agitated flexion contracted non-weight bearing child with gastrointestinal dysfunction and developmentally shunted growth responds to co-managed chiropractic care. Focus on aiding structural balance helped improve the weight bearing movement and mobility, physical calmness and contentment, emotional and verbal communication, as well as gastointestinal function. Discussion: This therapeutic approach decreased aberrant posture and enhanced quality of life. Conclusion: Chiropractic care in combination with academic intervention improved this child’s postural abnormalities, attitude, and cognitive development warranting consideration in subsequent care investigation. 展开更多
关键词 Agenesis of Corpus Callosum (AgCC) CHIROPRACTIC dynamic Neuromuscular stabilization (DNS) Individualized Educational Program (IEP)
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Dynamic stability analysis of porous functionally graded beams under hygro-thermal loading using nonlocal strain gradient integral model 被引量:2
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作者 Pei ZHANG P.SCHIAVONE Hai QING 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2023年第12期2071-2092,共22页
We present a study on the dynamic stability of porous functionally graded(PFG)beams under hygro-thermal loading.The variations of the properties of the beams across the beam thicknesses are described by the power-law ... We present a study on the dynamic stability of porous functionally graded(PFG)beams under hygro-thermal loading.The variations of the properties of the beams across the beam thicknesses are described by the power-law model.Unlike most studies on this topic,we consider both the bending deformation of the beams and the hygro-thermal load as size-dependent,simultaneously,by adopting the equivalent differential forms of the well-posed nonlocal strain gradient integral theory(NSGIT)which are strictly equipped with a set of constitutive boundary conditions(CBCs),and through which both the stiffness-hardening and stiffness-softening effects of the structures can be observed with the length-scale parameters changed.All the variables presented in the differential problem formulation are discretized.The numerical solution of the dynamic instability region(DIR)of various bounded beams is then developed via the generalized differential quadrature method(GDQM).After verifying the present formulation and results,we examine the effects of different parameters such as the nonlocal/gradient length-scale parameters,the static force factor,the functionally graded(FG)parameter,and the porosity parameter on the DIR.Furthermore,the influence of considering the size-dependent hygro-thermal load is also presented. 展开更多
关键词 nonlocal strain gradient integral model dynamic stability porous functionally graded(PFG)shear deformation beam size-dependent hygro-thermal load generalized differential quadrature method(GDQM)
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Improving Dynamic Stability of Yunnan Provincial and South China Power System by PSS
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作者 薛武 李文云 +1 位作者 曹昆南 赵云 《Electricity》 2001年第2期25-30,共6页
For solving the dynamic instability problem of Yunnan Provincial Power System (YNPS) and the South China Interconnected Power System (SCIPS), Lubuge Hydropower Station was chosen to install Power System Stabilizer (PS... For solving the dynamic instability problem of Yunnan Provincial Power System (YNPS) and the South China Interconnected Power System (SCIPS), Lubuge Hydropower Station was chosen to install Power System Stabilizer (PSS). This paper introduces the principles and methods of parameter selection for PSS, in addition to field test. The test results show that the PSS installed can significantly improve the system damping. 展开更多
关键词 dynamic stability power system stabilizer (PSS) low frequency oscillation
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Influence of unsupported sleepers on the dynamic stability of ballasted bed based on wheelset impact tests 被引量:1
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作者 Juzhen Liu Shuai Du +4 位作者 Ganzhong Liu Ping Wang Rong Chen Xiankui Wei Hao Liu 《Railway Engineering Science》 2023年第1期52-60,共9页
The unsupported sleeper can change the load characteristics of ballast particles and thus affect the dynamic stability of a ballasted bed.In this work,a laboratory test was constructed on a ballasted track containing ... The unsupported sleeper can change the load characteristics of ballast particles and thus affect the dynamic stability of a ballasted bed.In this work,a laboratory test was constructed on a ballasted track containing unsupported sleepers.The ballasted track was excited by a wheelset,and the influence of unsupported sleepers on the dynamic stability of a ballasted bed was studied.The results show that the main frequency of the sleeper vibration appeared at 670 Hz,and the first-order rigid vibration mode at the frequency of 101 Hz had a significant effect on the condition without the unsupported sleeper.When the sleepers were continuously unsupported,the vibration damping effect of ballasted bed within the frequency range of 0–450 Hz was better than that at higher frequencies.Within the frequency range of 70–250 Hz,the vibration damping effect of the ballasted bed with unsupported sleepers was better than that without the unsupported sleeper.Owing to the excitation from the wheelset impact,the lateral resistance of the ballasted bed with unsupported sleepers whose hanging heights were 30,60,and 90 mm increased by 37.43%,12.25%,and 18.23%,respectively,while the lateral resistance of the ballasted bed without the unsupported sleeper remained basically unchanged.The unsupported sleeper could increase the difference in the quality of the ballasted bed between two adjacent sleepers.In addition,test results show that the hanging height of the unsupported sleeper had little effect on the lateral resistance of a ballasted bed without external excitation,but had an obvious effect on the rate of change of the lateral resistance of a ballasted bed and the acceleration amplitude of the sleeper vibration under the wheelset impact. 展开更多
关键词 Unsupported sleeper Ballasted bed Wheelset impact test VIBRATION dynamic stability
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Dynamic stabilization of Na atom in an intense pulsed laser field
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作者 Xiao-Li Guo Song-Feng Zhao +1 位作者 Guo-Li Wang Xiao-Xin Zhou 《Chinese Physics B》 SCIE EI CAS CSCD 2018年第4期281-284,共4页
We investigate theoretically the ionization properties of the valence electron for the alkali metal atom Na in an intense pulsed laser field by solving numerically the time-dependent Schrodinger equation with an accur... We investigate theoretically the ionization properties of the valence electron for the alkali metal atom Na in an intense pulsed laser field by solving numerically the time-dependent Schrodinger equation with an accurate l-dependent model potential.By calculating the variations of the ionization probabilities with laser peak intensity for wavelengths ranging from 200 nm to 600 nm,our results present a dynamic stabilization trend for the Na atom initially in its ground state(3 s) and the excited states(3 p and 4 s) exposed to an intense pulsed laser field.Especially a clear "window" of dynamic stabilization at lower laser intensities and longer wavelengths for the initial state 4 s(the second excited state) is found.By analyzing the time-dependent population distributions of the valence electron in the bound states with the different values of principal quantum number n and orbital quantum number l,we can attribute the dynamic stabilization to the periodic population in the low-excited states since the valence electron oscillates rapidly between the lowly excited states and the continuum states. 展开更多
关键词 accurate model potential atomic dynamic stabilization ionization probability
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The Investigation of the Dynamical Evolution of Extrasolar Three-planetary System GJ 3138
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作者 Alexander Perminov Eduard Kuznetsov 《Research in Astronomy and Astrophysics》 SCIE CAS CSCD 2022年第1期68-84,共17页
This article is devoted to studying the dynamical evolution and orbital stability of compact extrasolar threeplanetary system GJ 3138. In this system, all semimajor axes are less than 0.7 au. The modeling of planetary... This article is devoted to studying the dynamical evolution and orbital stability of compact extrasolar threeplanetary system GJ 3138. In this system, all semimajor axes are less than 0.7 au. The modeling of planetary motion is performed using the averaged semi-analytical motion theory of the second order in planetary masses,which the authors construct. Unknown and known with errors orbital elements vary in allowable limits to obtain a set of initial conditions. Each of these initial conditions is applied for the modeling of planetary motion. The assumption about the stability of observed planetary systems allows to eliminate the initial conditions leading to excessive growth of the orbital eccentricities and inclinations and to identify those under which these orbital elements conserve moderate values over the whole modeling interval. Thus, it becomes possible to limit the range of possible values of unknown orbital elements and determine their most probable values in terms of stability. 展开更多
关键词 Planetary systems planets and satellites:dynamical evolution and stability planetstar interactions celestial mechanics
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Impulsive dynamics and stabilization of a single wheel robot
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作者 Ou Yongsheng Wu Xinyu Xu Yangsheng 《Engineering Sciences》 EI 2011年第1期76-83,共8页
The impulsive motion of a dynamically stabilized robot—Gyrover, which is a single-wheel gyroscopically stabilized robot is studied. A method based on the D’Alembert-Lagrange principle is proposed to develop the impu... The impulsive motion of a dynamically stabilized robot—Gyrover, which is a single-wheel gyroscopically stabilized robot is studied. A method based on the D’Alembert-Lagrange principle is proposed to develop the impulsive dynamic model of the single wheel robot. This method that can be used to find ways to investigate a single wheel mobile robot rolling on a rough terrain is tested using the experimental platform Gyrover. The conditions of falling over without actuators are addressed. Simulations that validate the analysis are provided as well. 展开更多
关键词 impulsive dynamics single wheel robot dynamically stabilized system
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Dynamic analysis of rotating flexible disk subjected to double slider loading systems
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作者 Yongchen Pei Xin Yang 《Theoretical & Applied Mechanics Letters》 2012年第6期31-36,共6页
Rotating disk subjected to stationary slider loading system is a very common mechanical structure. This paper investigates the multibody dynamics of a rotating flexible annular thin disk subjected to double slider loa... Rotating disk subjected to stationary slider loading system is a very common mechanical structure. This paper investigates the multibody dynamics of a rotating flexible annular thin disk subjected to double slider loading systems. Along the rotating disk radial and circumferential directions, two stationary slider loading systems are distributed. System dynamic model is solved by Galerkin's method, and then natural frequency, dynamic stability and mode shape are determined with a quadratic eigenvalue problem. Effects of the distributing positions and interaction mechanism of the double slider loading systems on natural frequency, dynamic stability and mode shape are discussed and investigated. 展开更多
关键词 multibody dynamics rotating disk double sliders mode shape dynamic stability
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Physical modeling of long-term dynamic characteristics of the subgrade for medium-low-speed maglevs
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作者 Minqi Dong Wubin Wang +4 位作者 Chengjin Wang Zhichao Huang Zhaofeng Ding Zhixing Deng Qian Su 《Railway Engineering Science》 2023年第3期293-308,共16页
To investigate the dynamic characteristics and long-term dynamic stability of the new subgrade structure of medium-low-speed(MLS)maglevs,cyclic vibration tests were performed under natural and rainfall conditions,and ... To investigate the dynamic characteristics and long-term dynamic stability of the new subgrade structure of medium-low-speed(MLS)maglevs,cyclic vibration tests were performed under natural and rainfall conditions,and the dynamic response of the subgrade structure was monitored.The dynamic response attenuation characteristics along the depth direction of the subgrade were compared,and the distribution characteristics of the dynamic stress on the surface of the subgrade along the longitudinal direction of the line were analyzed.The critical dynamic stress and cumulative deformation were used as indicators to evaluate the long-term dynamic stability of the subgrade.Results show that water has a certain effect on the dynamic characteristics of the subgrade,and the dynamic stress and acceleration increase with the water content.With the dowel steel structure set between the rail-bearing beams,stress concentration at the end of the loaded beam can be prevented,and the diffusion distance of the dynamic stress along the longitudinal direction increases.The dynamic stress measured in the subgrade bed range is less than 1/5 of the critical dynamic stress.The postconstruction settlement of the subgrade after similarity ratio conversion is 3.94 mm and 7.72 mm under natural and rainfall conditions,respectively,and both values are less than the 30 mm limit,indicating that the MLS maglev subgrade structure has good long-term dynamic stability. 展开更多
关键词 Medium-low-speed maglev SUBGRADE dynamic characteristics Long-term dynamic stability Model test
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Most Suitable Power System Stabilizer Selection for the Improvement of Dynamic Stability
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作者 MOHAMMED Heikal 《Computer Aided Drafting,Design and Manufacturing》 2009年第1期117-122,共6页
A method of enhancing power system stability for a single machine to infinite bus power system is presented. The technique used compromises the effectiveness of Proportional-Integral-Derivative controller (PID). In ... A method of enhancing power system stability for a single machine to infinite bus power system is presented. The technique used compromises the effectiveness of Proportional-Integral-Derivative controller (PID). In order to satisfy the damping characteristics for the proposed power system over a wide range of operating interval, rotational speed, torque angle and terminal voltage signals of the synchronous machine are utilized as control signals of the system. It is well known that these variables have significant effects on damping the generators shaft mechanical oscillations, it'll be so easy to validate the most suitable controller as seen from the simulation results. 展开更多
关键词 power system dynamic stability PID control MATLAB programming power system engineering
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Effect of Orbital Characteristic of Inclined Third-body on Motion of Secondary-body for a Hierarchical Triple Systems
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作者 Majid Bakhtiari 《Research in Astronomy and Astrophysics》 SCIE CAS CSCD 2023年第6期1-11,共11页
The influence of a third-body's orbital elements on the second-body's motion in a hierarchical triple system is a crucial problem in astrophysics.Most prolonged evaluation studies have focused on a distant zer... The influence of a third-body's orbital elements on the second-body's motion in a hierarchical triple system is a crucial problem in astrophysics.Most prolonged evaluation studies have focused on a distant zero-inclined thirdbody.This study presents a new perspective on second-body motion equations that addresses a perturbing-body in an elliptic orbit derived with consideration of the axial-tilt(obliquity)of the primary.The proposed model is compared by the dual-averaged method and the N-body problem algorithm.After validation,a generalized threebody model is derived to investigate the effects of the third-body's orbital elements on secondary-body motion behavior.The proposed model considers short-time oscillations that affect secular evaluation and applies to exoplanets with all the primary and third body eccentricities,inclinations,and mass ratios.It is shown that the obliquity of the primary(or third-body's inclination)must be considered for precise long-term assessment,even in highly-hierarchical systems. 展开更多
关键词 celestial mechanics planets and satellites:dynamical evolution and stability Planetary systems GRAVITATION
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Studying the Equilibrium Points of the Modified Circular Restricted Three-body Problem: The Case of Sun–Haumea System
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作者 INurul Huda B.Dermawan +2 位作者 M.B.Saputra R.Sadikin T.Hidayat 《Research in Astronomy and Astrophysics》 SCIE CAS CSCD 2023年第11期232-242,共11页
We intend to study a modified version of the planar Circular Restricted Three-Body Problem(CRTBP) by incorporating several perturbing parameters. We consider the bigger primary as an oblate spheroid and emitting radia... We intend to study a modified version of the planar Circular Restricted Three-Body Problem(CRTBP) by incorporating several perturbing parameters. We consider the bigger primary as an oblate spheroid and emitting radiation while the small primary has an elongated body. We also consider the perturbation from a disk-like structure encompassing this three-body system. First, we develop a mathematical model of this modified CRTBP.We have found there exist five equilibrium points in this modified CRTBP model, where three of them are collinear and the other two are non-collinear. Second, we apply our modified CRTBP model to the Sun–Haumea system by considering several values of each perturbing parameter. Through our numerical investigation, we have discovered that the incorporation of perturbing parameters has resulted in a shift in the equilibrium point positions of the Sun–Haumea system compared to their positions in the classical CRTBP. The stability of equilibrium points is investigated. We have shown that the collinear equilibrium points are unstable and the stability of non-collinear equilibrium points depends on the mass parameter μ of the system. Unlike the classical case, non-collinear equilibrium points have both a maximum and minimum limit of μ for achieving stability. We remark that the stability range of μ in non-collinear equilibrium points depends on the perturbing parameters. In the context of the Sun–Haumea system, we have found that the non-collinear equilibrium points are stable. 展开更多
关键词 celestial mechanics Kuiper Belt:general planets and satellites:dynamical evolution and stability
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A Sufficient Statistical Test for Dynamic Stability
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作者 Muhammad Ashfaq Ahmed Nasreen Nawaz 《Journal of Data Analysis and Information Processing》 2023年第2期144-174,共31页
In the existing Statistics and Econometrics literature, there does not exist a statistical test which may test for all kinds of roots of the characteristic polynomial leading to an unstable dynamic response, i.e., pos... In the existing Statistics and Econometrics literature, there does not exist a statistical test which may test for all kinds of roots of the characteristic polynomial leading to an unstable dynamic response, i.e., positive and negative real unit roots, complex unit roots and the roots lying inside the unit circle. This paper develops a test which is sufficient to prove dynamic stability (in the context of roots of the characteristic polynomial) of a univariate as well as a multivariate time series without having a structural break. It covers all roots (positive and negative real unit roots, complex unit roots and the roots inside the unit circle whether single or multiple) which may lead to an unstable dynamic response. Furthermore, it also indicates the number of roots causing instability in the time series. The test is much simpler in its application as compared to the existing tests as the series is strictly stationary under the null (C01, C12). 展开更多
关键词 dynamic Stability Real and Complex Roots Unit Circle
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