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Energy mechanism of bolt supporting effect to fissured rock under static and dynamic loads in deep coal mines 被引量:4
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作者 Deyuan Fan Xuesheng Liu +2 位作者 Yunliang Tan Xuebin Li Shenglong Yang 《International Journal of Mining Science and Technology》 SCIE EI CAS CSCD 2024年第3期371-384,共14页
The stability control of fissured rock is difficult,especially under static and dynamic loads in deep coal mines.In this paper,the dynamic mechanical properties,strain rate evolution and energy dissipation of fissured... The stability control of fissured rock is difficult,especially under static and dynamic loads in deep coal mines.In this paper,the dynamic mechanical properties,strain rate evolution and energy dissipation of fissured and anchored rocks were respectively obtained by SHPB tests.It was found that bolt can provide supporting efficiency-improving effect for fissured rock against dynamic disturbance,and this effect increased quadratically with decrease in anchoring angles.Then,the energy dissipation mechanism of anchored rock was obtained by slipping model.Furthermore,bolt energy-absorbing mechanism by instantaneous tensile-shear deformation was expressed based on material mechanics,which was the larger the anchoring angle,the smaller the energy absorption,and the less the contribution to supporting efficiency improvement.On this basis,the functional relationship between energy dissipation of anchored rock and energy absorption of bolt was established.Taking the coal-gangue separation system of Longgu coal mine as an example,the optimal anchoring angle can be determined as 57.5°–67.5°.Field monitoring showed fissured rock with the optimal anchoring angle,can not only effectively control the deformation,but also fully exert the energy-absorbing and efficiency-improving effect of bolt itself.This study provides guidance to the stability control and supporting design for deep engineering under the same or similar conditions. 展开更多
关键词 static and dynamic loads Anchored rock Energy absorption Anchoring angle Engineering verification
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Mechanical behavior and failure mechanisms of rock bolts subjected to static-dynamic loads 被引量:1
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作者 Hongpu Kang Guiyang Yuan +4 位作者 Linpo Si Fuqiang Gao Jinfu Lou Jinghe Yang Shuangyong Dong 《International Journal of Mining Science and Technology》 SCIE EI CAS CSCD 2024年第3期281-288,共8页
This study explores the effects of dynamic and static loading on rock bolt performance a key factor in maintaining the structural safety of coal mine roadways susceptible to coal bursts.Employing a housemade load fram... This study explores the effects of dynamic and static loading on rock bolt performance a key factor in maintaining the structural safety of coal mine roadways susceptible to coal bursts.Employing a housemade load frame to simulate various failure scenarios,pretension-impact-pull tests on rock bolts were conducted to scrutinize their dynamic responses under varied static load conditions and their failure traits under combined loads.The experimental results denote that with increased impact energy,maximum and average impact loads on rock bolts escalate significantly under pretension,initiating plastic deformation beyond a certain threshold.Despite minor reductions in the yield load due to impactinduced damage,pretension aids in constraining post-impact deformation rate and fluctuation degree of rock bolts.Moreover,impact-induced plastic deformation causes internal microstructure dislocation,fortifying the stiffness of the rock bolt support system.The magnitude of this fortification is directly related to the plastic deformation induced by the impact.These findings provide crucial guidance for designing rock bolt support in coal mine roadway excavation,emphasizing the necessity to consider both static and dynamic loads for improved safety and efficiency. 展开更多
关键词 Rock bolt PRETENSION static and dynamic load IMPACT
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Simulation on the dynamic stability derivatives of battle-structure-damaged aircrafts
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作者 Bai-gang Mi 《Defence Technology(防务技术)》 SCIE EI CAS CSCD 2021年第3期987-1001,共15页
Accurately evaluating the aerodynamic performance of a battle-structure-damaged aircraft is essential to enable the pilot to optimize the flight control strategy. Based on CFD and rigid dynamic mesh techniques,a numer... Accurately evaluating the aerodynamic performance of a battle-structure-damaged aircraft is essential to enable the pilot to optimize the flight control strategy. Based on CFD and rigid dynamic mesh techniques,a numerical method is developed to calculate the longitudinal and longitudinal-lateral coupling forces and moments with small amplitude sinusoidal pitch oscillation, and the corresponding dynamic derivatives of two fragment-structure-damaged and two continuous-rod-damaged models modified from the SACCON UAV. The results indicate that, at the reference point set in this paper, additional positive damping is generated in fragment-damaged configurations;thus, the absolute values of the negative pitch dynamic derivative increase. The missing wingtip induces negative pitch damping on the aircraft and decreases the value of the pitch dynamic derivative. The missing middle wing causes a noticeable increase in the absolute value of the pitch dynamic derivative;the missing parts on the right wing cause the aircraft to roll to the right side in the dynamic process, and the pitch-roll coupling cross dynamic derivatives are positive. Moreover, the values of these derivatives increase as the damaged area on the right wing increases, and an optimal case with the smallest cross dynamic derivative can be found to help improve the survivability of damaged aircraft. 展开更多
关键词 Flying wing Fragment damage Continuous rod damage Combined dynamic derivative Computational fluid dynamics(CFD)
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Comparative study on three dynamic modulus of elasticity and static modulus of elasticity for Lodgepole pine lumber 被引量:5
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作者 梁善庆 傅峰 《Journal of Forestry Research》 SCIE CAS CSCD 2007年第4期309-312,共4页
The dynamic and static modulus of elasticity (MOE) between bluestained and non-bluestained lumber of Lodgepole pine were tested and analyzed by using three methods of Non-destructive testing (NDT), Portable Ultras... The dynamic and static modulus of elasticity (MOE) between bluestained and non-bluestained lumber of Lodgepole pine were tested and analyzed by using three methods of Non-destructive testing (NDT), Portable Ultrasonic Non-destructive Digital Indicating Testing (Pundit), Metriguard and Fast Fourier Transform (FFT) and the normal bending method. Results showed that the dynamic and static MOE of bluestained wood were higher than those of non-bluestained wood. The significant differences in dynamic MOE and static MOE were found between bulestained and non-bluestained wood, of which, the difference in each of three dynamic MOE (Ep. the ultrasonic wave modulus of elasticity, Ems, the stress wave modulus of elasticity and El, the longitudinal wave modulus of elasticity) between bulestained and non-bluestained wood arrived at the 0.01 significance level, whereas that in the static MOE at the 0.05 significance level. The differences in MOE between bulestained and non-bluestained wood were induced by the variation between sapwood and heartwood and the different densities of bulestained and non-bluestained wood. The correlation between dynamic MOE and static MOE was statistically significant at the 0.01 significance level. Although the dynamic MOE values of Ep, Em, Er were significantly different, there exists a close relationship between them (arriving at the 0.01 correlation level). Comparative analysis among the three techniques indicated that the accurateness of FFT was higher than that of Pundit and Metriguard. Effect of tree knots on MOE was also investigated. Result showed that the dynamic and static MOE gradually decreased with the increase of knot number, indicating that knot number had significant effect on MOE value. 展开更多
关键词 Lodgepole pine Non-destructive testing dynamic modulus of elasticity static modulus of elasticity
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Static and dynamic collaborative optimization of ship hull structure 被引量:4
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作者 黄海燕 王德禹 《Journal of Marine Science and Application》 2009年第1期77-82,共6页
The goal of this effort was to provide a static and dynamic collaborative optimization (CO) model for the design of ship hull structure. The CO model integrated with static, mode and dynamic analyses. In the system-... The goal of this effort was to provide a static and dynamic collaborative optimization (CO) model for the design of ship hull structure. The CO model integrated with static, mode and dynamic analyses. In the system-level optimization model, a new objective function was advised, integrating all the subsystem-levels' objective functions, so as to eliminate the effects of dimensions and magnitude order. The proposed CO architecture enabled multi-objectives of the system and subsystem-level to be considered at both levels during optimization. A bi-level optimization strategy was advised, using the multi-island genetic algorithm. The proposed model was demonstrated with a deck optimization problem of container ship stern. The analysis progress and results of example show that the CO strategy is not only feasible and reliable, but also well suited for use in actual optimization problems of ship design. 展开更多
关键词 collaborative optimization multi-island genetic algorithm static analysis dynamic analysis
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On Static English and Dynamic Chinese through Tess of the D'urbervilles and its Two Versions in Chinese
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作者 陈李艾伦 《英语广场(学术研究)》 2015年第5期16-17,共2页
Based on Tess of the D'urbervilles and its two versions in Chinese, the static feature of English is clarifi ed from two aspects: preponderance of nouns and feeble verbs while the dynamic feature of Chinese is ref... Based on Tess of the D'urbervilles and its two versions in Chinese, the static feature of English is clarifi ed from two aspects: preponderance of nouns and feeble verbs while the dynamic feature of Chinese is refl ected by the frequent and fl exible application of verbs and verbal reduplication. The realistic value of this contrastive analysis is that it can point out the key points and diffi culties in learning English which is helpful for FL teaching, translation and lexicography. 展开更多
关键词 contrastive analysis static dynamic NOUN VERB REDUPLICATION
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《Engineering Mechanics——Statics》,《Engineering Mechanics——Dynamics》(10th Edition)评介
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作者 谢传锋 《力学与实践》 CSCD 北大核心 2005年第6期91-91,共1页
R.C.Hibbeler编著《工程力学——静力学》、《工程力学——动力学》(第10版)(Engineering Mechanics——Statics,Engineering Mechanics Dynamics(10th Edition),Prenties Hall,2003)已于2004年1月由高等教育出版社出版了影... R.C.Hibbeler编著《工程力学——静力学》、《工程力学——动力学》(第10版)(Engineering Mechanics——Statics,Engineering Mechanics Dynamics(10th Edition),Prenties Hall,2003)已于2004年1月由高等教育出版社出版了影印版、该教材对我国的理论力学教材建设和双语教学具有极大参考价值。 展开更多
关键词 高等教育出版社 力学教材 静力学 ENGINEERING MECHANICS dynamicS 《工程力学——静力学》 《工程力学——动力学》 ENGINEERING MECHANICS staticS
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A numerical simulation study on mechanical behaviour of coal with bedding planes under coupled static and dynamic load 被引量:10
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作者 Lihai Tan Ting Ren +1 位作者 Xiaohan Yang Xueqiu He 《International Journal of Mining Science and Technology》 SCIE EI CSCD 2018年第5期791-797,共7页
To investigate the bedding influence on coal mechanical behaviour in underground environments such as coal or rock burst, simulations of dynamic SHPB tests of pre-stressed coal specimens with different bedding angles ... To investigate the bedding influence on coal mechanical behaviour in underground environments such as coal or rock burst, simulations of dynamic SHPB tests of pre-stressed coal specimens with different bedding angles were carried out using a particle flow code 2-dimensional(PFC2D). Three impact velocities of 4, 8 and 12 m/s were selected to study dynamic behaviours of coal containing bedding planes under different dynamic loads. The simulation results showed that the existence of bedding planes leads to the degradation of the mechanical properties and their weakening effect significantly depends on the angle h between the bedding planes and load direction. With h increaseing from 0° to 90°, the strength first decreased and subsequently increased and specimens became most vulnerable when h was 30° or 45°.Five failure modes were observed in the specimens in the context of macro-cracks. Furthermore, energy characteristics combined with ultimate failure patterns revealed that maximum accumulated energy and failure intensity have a positive relation with the strength of specimen. When bedding planes were parallel or perpendicular to loading direction, specimens absorbed more energy and experienced more violent failure with increased number of cracks. In contrast, bedding planes with h of 30° or 45° reduced the specimens' ability of storing strain energy to the lowest with fewer cracks observed after failure. 展开更多
关键词 staticdynamic COUPLED loads SHPB COAL BEDDING angle Strain energy PFC2D
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Upper bound for the time derivative of entropy for a stochastic dynamical system with double singularities driven by non-Gaussian noise 被引量:2
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作者 郭培荣 徐伟 刘迪 《Chinese Physics B》 SCIE EI CAS CSCD 2010年第3期233-238,共6页
A stochastic dynamical system with double singularities driven by non-Gaussian noise is investigated. The Fokker Plank equation of the system is obtained through the path-integral approach and the method of transforma... A stochastic dynamical system with double singularities driven by non-Gaussian noise is investigated. The Fokker Plank equation of the system is obtained through the path-integral approach and the method of transformation. Based on the definition of Shannon's information entropy and the Schwartz inequality principle, the upper bound for the time derivative of entropy is calculated both in the absence and in the presence of non-equilibrium constraint. The present calculations can be used to interpret the effects of the system dissipative parameter, the system singularity strength parameter, the noise correlation time and the noise deviation parameter on the upper bound. 展开更多
关键词 non-Gaussian noise stochastic dynamical system with double singularities informationentropy upper bound for the time derivative of entropy
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MDSLB:A new static load balancing method for parallel molecular dynamics simulations 被引量:1
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作者 武云龙 徐新海 +2 位作者 杨学军 邹顺 任小广 《Chinese Physics B》 SCIE EI CAS CSCD 2014年第2期628-643,共16页
Large-scale parallelization of molecular dynamics simulations is facing challenges which seriously affect the simula- tion efficiency, among which the load imbalance problem is the most critical. In this paper, we pro... Large-scale parallelization of molecular dynamics simulations is facing challenges which seriously affect the simula- tion efficiency, among which the load imbalance problem is the most critical. In this paper, we propose, a new molecular dynamics static load balancing method (MDSLB). By analyzing the characteristics of the short-range force of molecular dynamics programs running in parallel, we divide the short-range force into three kinds of force models, and then pack- age the computations of each force model into many tiny computational units called "cell loads", which provide the basic data structures for our load balancing method. In MDSLB, the spatial region is separated into sub-regions called "local domains", and the cell loads of each local domain are allocated to every processor in turn. Compared with the dynamic load balancing method, MDSLB can guarantee load balance by executing the algorithm only once at program startup without migrating the loads dynamically. We implement MDSLB in OpenFOAM software and test it on TianHe-lA supercomputer with 16 to 512 processors. Experimental results show that MDSLB can save 34%-64% time for the load imbalanced cases. 展开更多
关键词 molecular dynamics static load balancing parallel computing
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Saturated sodium chloride solution under an external static electric field: A molecular dynamics study
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作者 任淦 王延颋 《Chinese Physics B》 SCIE EI CAS CSCD 2015年第12期79-86,共8页
The behavior of saturated aqueous Na Cl solutions under a constant external electric field(E) was studied by molecular dynamics(MD) simulation. Our dynamic MD simulations indicated that the irreversible nucleation... The behavior of saturated aqueous Na Cl solutions under a constant external electric field(E) was studied by molecular dynamics(MD) simulation. Our dynamic MD simulations indicated that the irreversible nucleation process towards crystallization is accelerated by a moderate E but retarded or even prohibited under a stronger E, which can be understood by the competition between self-diffusion and drift motion. The former increases with E, thereby accelerating the nucleation process, whereas the latter pulls oppositely charged ions apart under a stronger E, thereby decelerating nucleation.Additionally, our steady-state MD simulations indicated that a first-order phase transition occurs in saturated solutions at a certain threshold Ec. The magnitude of Ec increases with concentration because larger clusters form more easily when the solution is more concentrated and require a stronger E to dissociate. 展开更多
关键词 NaCl solution NUCLEATION static external electric field molecular dynamics simulation
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DETERMINATION OF STATIC AND DYNAMIC DIFFUSION COEFFICIENTS OF MOISTURE IN PARTICLEBOARDS
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作者 Dai Fangtian Cai LipinNortheast Forestry UniversityZhang ShufenWeihe Forestry Bureau, Heilongjiang Province 《Journal of Northeast Forestry University》 SCIE CAS CSCD 1993年第2期87-92,共6页
The static and dynamic diffusion coefficients are important coefficients to describe the moisture transfer processes in particleboard. In this paper, the formula of culculating the static and dynamic diffusion coeffic... The static and dynamic diffusion coefficients are important coefficients to describe the moisture transfer processes in particleboard. In this paper, the formula of culculating the static and dynamic diffusion coefficients were deduced. At first, the static diffusion coefficients of four kinds of particleboards were determined by using diffusion cup method. The results demonstrated that the static diffusion coefficients parallel to panel surface were 10-20 times as large as that of perpendicular to panel surface for test boards. To determine both dynamic diffusion coefficients and surface emission coefficients of moisture in particleboards in one experimental period, specimens in four different thicknesses of each kind of particleboard were used in the experiment. Then the method of regression was used and the dynamic diffusion coefficients and surface emission coefficients were determined based on the slope and intercept of the regressive line. 展开更多
关键词 static diffusion coefficient dynamic diffusion coefficient Moisture transfer
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Static and Dynamic Integrated Analysis Scheme for Android Malware
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作者 Chun-Hao Yung Wen-Shenq Juang 《Journal of Electronic Science and Technology》 CAS CSCD 2017年第3期246-250,共5页
The Android platform is the most popular mobile operating system.With the increase of the number of Android users,a lot of security issues have occurred.In order to detect the malicious behaviors for the installed And... The Android platform is the most popular mobile operating system.With the increase of the number of Android users,a lot of security issues have occurred.In order to detect the malicious behaviors for the installed Android Apps,in this paper,we propose an Android malware detecting scheme by integrating static and dynamic analysis methods.We use Androguard and Droid Box to extract the features,and then remove the irrelevant features.Then we employ the support vector machine(SVM) to classify the Android malware and benignware.From the result of our proposed scheme,the proposed integrated static and dynamic analysis scheme with SVM can effectively detect the Android malware. 展开更多
关键词 Index Terms--Android dynamic analysis malware static analysis support vector machine
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Static and Dynamic Precipitation Behavior of the Al-20wt.% Zn Alloy
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作者 刘崇宇 江鸿杰 +4 位作者 王春霞 亓海全 李义兵 马明臻 刘日平 《Chinese Physics Letters》 SCIE CAS CSCD 2016年第5期63-66,共4页
The static and dynamic precipitation behavior of solution-treated binary Al-20 wt.% Zn alloy is investigated via artificial aging, cold rolling and artificial aging combined with cold rolling. The solution-treated Al-... The static and dynamic precipitation behavior of solution-treated binary Al-20 wt.% Zn alloy is investigated via artificial aging, cold rolling and artificial aging combined with cold rolling. The solution-treated Al-Zn alloy exhibits high thermal stability during aging, and low densities of nano-sized Zn particles are precipitated along with AI grain boundaries after aging at 200℃ for 13 h. Compared with static precipitation, dynamic precipitation occurs more easily in the Al-Zn alloy. Zn clusters are obtained after cold rolling at an equivalent plastic strain of 0.6, and the size of the Zn phase reaches hundreds of nanometers when the strain is increased to 12.1. The results show that the speed of static precipitation can be significantly enhanced after the application of 2.9 rolling strain. Grain refinement and defects induced by cold rolling are considered to promote Zn precipitation. The hardness of Al-Zn alloy is also affected by static and dynamic precipitations. 展开更多
关键词 Zn Alloy in on AS AL static and dynamic Precipitation Behavior of the Al-20wt of
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IMPULSIVE EXPONENTIAL SYNCHRONIZATION OF FRACTIONAL-ORDER COMPLEX DYNAMICAL NETWORKS WITH DERIVATIVE COUPLINGS VIA FEEDBACK CONTROL BASED ON DISCRETE TIME STATE OBSERVATIONS
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作者 Ruihong LI Huaiqin WU Jinde CAO 《Acta Mathematica Scientia》 SCIE CSCD 2022年第2期737-754,共18页
This article aims to address the global exponential synchronization problem for fractional-order complex dynamical networks(FCDNs)with derivative couplings and impulse effects via designing an appropriate feedback con... This article aims to address the global exponential synchronization problem for fractional-order complex dynamical networks(FCDNs)with derivative couplings and impulse effects via designing an appropriate feedback control based on discrete time state observations.In contrast to the existing works on integer-order derivative couplings,fractional derivative couplings are introduced into FCDNs.First,a useful lemma with respect to the relationship between the discrete time observations term and a continuous term is developed.Second,by utilizing an inequality technique and auxiliary functions,the rigorous global exponential synchronization analysis is given and synchronization criterions are achieved in terms of linear matrix inequalities(LMIs).Finally,two examples are provided to illustrate the correctness of the obtained results. 展开更多
关键词 Fractional-order complex dynamical networks fractional derivative couplings IMPULSES discrete time state observations
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Static and Dynamic Analysis of Lasing Action from Single and Coupled Photonic Crystal Nanocavity Lasers
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作者 Peng-Chao Zhao Fan Qi +2 位作者 Ai-Yi Qi Yu-Fei Wang Wan-Hua Zheng 《Chinese Physics Letters》 SCIE CAS CSCD 2017年第2期30-33,共4页
The single and coupled photonic crystal nanocavity lasers are fabricated in the InGaAsP material system and their static and dynamic features are compared. The coupled-cavity lasers show a larger lasing e^ciency and g... The single and coupled photonic crystal nanocavity lasers are fabricated in the InGaAsP material system and their static and dynamic features are compared. The coupled-cavity lasers show a larger lasing e^ciency and generate an output power higher than the single-cavity lasers, results that are consistent with the theoretical results obtained by rate equations. In dynamic regime, the single-cavity lasers produce pulses as short as 113 ps, while the coupled-cavity lasers show a significantly longer lasing duration. These results indicate that the photonic crystal laser is a promising candidate for the light source in high-speed photonic integrated circuit. 展开更多
关键词 static and dynamic Analysis of Lasing Action from Single and Coupled Photonic Crystal Nanocavity Lasers
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NMR-based damage characterisation of backfill material in host rock under dynamic loading 被引量:23
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作者 Binglei Li Jiquan Lan +2 位作者 Guangyao Si Guopeng Lin Liuqing Hu 《International Journal of Mining Science and Technology》 SCIE EI CSCD 2020年第3期329-335,共7页
It is not uncommon that backfill material used in underground mining being exposed to repetitive dynamic stresses induced by blasting operations or rockburst events. Understanding the strength and fracture evolution o... It is not uncommon that backfill material used in underground mining being exposed to repetitive dynamic stresses induced by blasting operations or rockburst events. Understanding the strength and fracture evolution of backfilled stopes is critical to maintain the long-term stope stability and ensure safe mining activities. This paper aims to study the damage evolution of the backfill material and its host rock behaviour under three-dimensional(3D) dynamic loading. Using a true-triaxial testing machine, multiple samples of backfill material enclosed by country rock were fabricated and tested under various dynamic loadings with different true-triaxial confining stress conditions. In addition, the nuclear magnetic resonance(NMR) measurement was conducted on the samples before and after exerting static and dynamic loading to obtain their porosity distribution changes. The experiment results suggested that with the increase of the dynamic loading, the porosity of the backfill sample goes through a two-stage process,which shows a slightly linear decrease and then followed by an exponential increase. The research findings can help understand the damage mechanism and fracture development of backfilled stopes and its host rock in deep underground mines, which are constantly subject to the combination of 3D static confining stress and dynamic loading. 展开更多
关键词 dynamic loading Backfill-country rock system True triaxial test Coupled static and dynamic loads Nuclear magnetic resonance(NMR) Damage evolution
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Dynamic failure risk of coal pillar formed by irregular shape longwall face:A case study 被引量:3
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作者 Yixin Zhao Hao Wang +2 位作者 Shimin Liu Zonglong Mu Zhiguo Lu 《International Journal of Mining Science and Technology》 SCIE EI CSCD 2018年第5期775-781,共7页
Irregular shape workface would result in the presence of coal pillar, which leads to high stress concentration and possibly induces coal bumps. In order to study the coal bump mechanism of pillars, static and dynamic ... Irregular shape workface would result in the presence of coal pillar, which leads to high stress concentration and possibly induces coal bumps. In order to study the coal bump mechanism of pillars, static and dynamic stress overlapping(SDSO) method was proposed to explain the impacts of static stress concentration and tremors induced by mining activities. The stress and deformation in surrounding rock of mining face were analyzed based on the field case study at 1303 workface in Zhaolou Coal Mine in China.The results illustrate that the surrounding rock of a workface could be divided into four different zones,i.e., residual stress zone, stress decrease zone, stress increase zone and original stress zone. The stress increase zone is prone to failure under the SDSO impact loading conditions and will provide elastic energy for inducing coal bump. Based on the numerical modelling results, the evolution of static stress in coal pillar as the size of gob increasing was studied, and the impact of dynamic stress was investigated through analyzing the characteristics of tremor activities. The numerical results demonstrate the peak value of vertical stress in coal pillar rises from about 30 MPa with mining distance 10 m to 52.6 MPa with mining distance 120 m, and the location of peak stress transfers to the inner zone of coal pillars as the workface moves forward. For the daily tremor activities, tremors with high energy released indicate high dynamic stress disturbance on the surrounding rock, therefore, the impact of dynamic stressing is more serious during workface extension period because the tremor frequency and average energy after workface extension are higher than those before the workface extension. 展开更多
关键词 COAL BUMP COAL PILLAR TREMOR Irregular shape LONGWALL face static and dynamic stress overlapping
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Fractional Birkhoffian Dynamics Based on Quasi-fractional Dynamics Models and Its Lie Symmetry 被引量:3
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作者 JIA Yundie ZHANG Yi 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI CSCD 2021年第1期84-95,共12页
In order to investigate the dynamic behavior of non-conservative systems,the Lie symmetries and conserved quantities of fractional Birkhoffian dynamics based on quasi-fractional dynamics model are proposed and studied... In order to investigate the dynamic behavior of non-conservative systems,the Lie symmetries and conserved quantities of fractional Birkhoffian dynamics based on quasi-fractional dynamics model are proposed and studied.The quasi-fractional dynamics model here refers to the variational problem based on the definition of RiemannLiouville fractional integral(RLFI),the variational problem based on the definition of extended exponentially fractional integral(EEFI),and the variational problem based on the definition of fractional integral extended by periodic laws(FIEPL).First,the fractional Pfaff-Birkhoff principles based on quasi-fractional dynamics models are established,and the corresponding Birkhoff’s equations and the determining equations of Lie symmetry are obtained.Second,for fractional Birkhoffian systems based on quasi-fractional models,the conditions and forms of conserved quantities are given,and Lie symmetry theorems are proved.The Pfaff-Birkhoff principles,Birkhoff’s equations and Lie symmetry theorems of quasi-fractional Birkhoffian systems and classical Birkhoffian systems are special cases of this article.Finally,some examples are given. 展开更多
关键词 quasi-fractional dynamics model Lie symmetry conserved quantity fractional Birkhoffian system Riemann-Liouville derivative
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Study on Relation between Dynamic Imbalance Degree and Product of Inertia
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作者 张心明 王黎明 +1 位作者 刘建河 周化文 《Defence Technology(防务技术)》 SCIE EI CAS 2008年第1期65-68,共4页
Based on the study of the relation between the dynamic imbalance degree and the product of inertia,a new static test method of the dynamic imbalance degree is presented.It is theoretically proved that the essence of t... Based on the study of the relation between the dynamic imbalance degree and the product of inertia,a new static test method of the dynamic imbalance degree is presented.It is theoretically proved that the essence of the imbalance degree test for projectile body is the test of its product of inertia.A more precise calculation formula of dynamic imbalance degree is also given.The experiment results show that this method can not only reduce the cost of equipment,simplify the test procedures,save human resource,but also has more reliable test precision. 展开更多
关键词 子弹 动力平衡 旋转惯性 军事技术
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