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Research on characterization methods for track irregularities
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作者 Lifeng Xin Lei Xu +3 位作者 Jiaxin Zhang Menglin Pei Jianfeng Mao Dangxiong Wang 《Railway Engineering Science》 2026年第1期25-39,共15页
The characterization of track irregularities is crucial in railway dynamics,as track irregularities are the primary source of internal excitation in railway systems.In this paper,three mathematical models are proposed... The characterization of track irregularities is crucial in railway dynamics,as track irregularities are the primary source of internal excitation in railway systems.In this paper,three mathematical models are proposed to characterize the track irregularities under different circumstances.The first model is a novel explicit track spectrum function,which performs better in reflecting the inherent periodic components of track irregularities than the existing track spectra.On this foundation,the second model,a parameterized track spectrum random model,is proposed to represent the vast measured track irregularities from the probabilistic perspective.Finally,the third model,an imprecise track spectrum interval model based on a neighborhood uniform sampling Bootstrap method,is presented to identify the confidential interval of the track spectra when the track irregularity data are limited.Three examples are illustrated to demonstrate the feasibility of the three track irregularity models in characterizing the track irregularities in different conditions.This research can help capture the railway deformation status and optimize track maintenance strategies. 展开更多
关键词 RAILWAY Track irregularity Power spectral density CHARACTERIZATION Random model Imprecise track spectrum
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Finite p-Groups with a Cyclic Subgroup of Index p^3 被引量:4
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作者 Qinhai ZHANG Pujin LI 《Journal of Mathematical Research with Applications》 CSCD 2012年第5期505-529,共25页
We classify up to isomorphism those finite p-groups, for odd primes p, which contain a cyclic subgroup of index p3.
关键词 finite p-groups inner abelian p-groups metacyclic p-groups regular p-groups irregular p-groups.
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Two Important Classes of p-groups and the Orders of Their Automorphism Groups 被引量:2
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作者 BAN Gui-ning ZHANG Xin-zheng 《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2008年第4期491-493,共3页
In the paper we obtain two infinite classes of p-groups, calculate the orders of their automorphism groups and correct a mistake(perhaps misprinted) of Rodney James' paper in 1980.
关键词 finite group p-group AUTOMORPHISM order CLASSIFICATION
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Finite p-Groups with Large or Small Normal Closures of Non-Normal Cyclic Subgroups
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作者 Libo ZHAO Lu GONG 《Journal of Mathematical Research with Applications》 CSCD 2017年第2期209-213,共5页
A p-group G is called a JC-group if the normal closure HG of every cyclic subgroup H satisfies|G:HG|≤p or|HG:H|≤p.In this paper, we classify the non-Dedekindian JC-groups for p 〉 2.
关键词 JC-group non-Dedekindian p-group regular p-group
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Factorization Numbers of a Class of Finite p-groups
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作者 WANG Yu-lei ZHANG Yuan-feng GUO Peng 《Chinese Quarterly Journal of Mathematics》 2018年第4期434-440,共7页
Let p be a prime number and f_2(G) be the number of factorizations G = AB of the group G, where A, B are subgroups of G. Let G be a class of finite p-groups as follows,G = a, b | a^(p^n)= b^(p^m)= 1, a^b= a^(p^(n-1)+1... Let p be a prime number and f_2(G) be the number of factorizations G = AB of the group G, where A, B are subgroups of G. Let G be a class of finite p-groups as follows,G = a, b | a^(p^n)= b^(p^m)= 1, a^b= a^(p^(n-1)+1), where n > m ≥ 1. In this article, the factorization number f_2(G) of G is computed, improving the results of Saeedi and Farrokhi in [5]. 展开更多
关键词 finite p-group FACTORIZATION number SUBGROUP COMMUTATIVITY DEGREE
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On the Structure of the Augmentation Quotient Group for Some Non-abelian p-groups
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作者 ZHAO HUI-FANG NAN JI-ZHU Du Xian-kun 《Communications in Mathematical Research》 CSCD 2017年第4期289-303,共15页
In this paper, we study the basis of augmentation ideals and the quotient groups of finite non-abelian p-group which has a cyclic subgroup of index p, where p is an odd prime, and k is greater than or equal to 3. A co... In this paper, we study the basis of augmentation ideals and the quotient groups of finite non-abelian p-group which has a cyclic subgroup of index p, where p is an odd prime, and k is greater than or equal to 3. A concrete basis for the augmentation ideal is obtained and then the structure of its quotient groups can be determined. 展开更多
关键词 integral group ring augmentation ideal quotient group p-group
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FINITE p-GROUPS WHICH CONTAIN A SELF-CENTRALIZING CYCLIC NORMAL SUBGROUP
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作者 郝成功 靳竹萱 《Acta Mathematica Scientia》 SCIE CSCD 2013年第1期131-138,共8页
For any prime p, all finite noncyclic p-groups which contain a self-centralizing cyclic normal subgroup are determined by using cohomological techniques. Some applications are given, including a character theoretic de... For any prime p, all finite noncyclic p-groups which contain a self-centralizing cyclic normal subgroup are determined by using cohomological techniques. Some applications are given, including a character theoretic description for such groups. 展开更多
关键词 finite p-group self-centralizing cyclic normal subgroup 2-nilpotent group cohomology group irreducible complex character
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On the Factorization Numbers of a Class of Finite p-Groups
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作者 WANG Yu-lei BAI Xue ZHANG Yuan-feng 《Chinese Quarterly Journal of Mathematics》 2022年第2期132-141,共10页
Let G be a group and A and B be subgroups of G.If G=AB,then G is said to be factorized by A and B.Let p be a prime number.The factorization numbers of a 2-generators abelian p-group and a modular p-group have been det... Let G be a group and A and B be subgroups of G.If G=AB,then G is said to be factorized by A and B.Let p be a prime number.The factorization numbers of a 2-generators abelian p-group and a modular p-group have been determined.Further,suppose that G is a finite p-group as follows G=<a,b|a^(p)^(n)=b^(p)^(m)=1,a^(b)=a^(p^(n-1)+1)>,where n≥2,m≥1.In this paper,the factorization number of G is computed completely,which is a generalization of the result of Saeedi and Farrokhi. 展开更多
关键词 Finite p-group Factorization number Subgroup commutativity degree
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A Novel Model for Describing Rail Weld Irregularities and Predicting Wheel-Rail Forces Using a Machine Learning Approach
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作者 Linlin Sun Zihui Wang +3 位作者 Shukun Cui Ziquan Yan Weiping Hu Qingchun Meng 《Computer Modeling in Engineering & Sciences》 SCIE EI 2025年第1期555-577,共23页
Rail weld irregularities are one of the primary excitation sources for vehicle-track interaction dynamics in modern high-speed railways.They can cause significant wheel-rail dynamic interactions,leading to wheel-rail ... Rail weld irregularities are one of the primary excitation sources for vehicle-track interaction dynamics in modern high-speed railways.They can cause significant wheel-rail dynamic interactions,leading to wheel-rail noise,component damage,and deterioration.Few researchers have employed the vehicle-track interaction dynamic model to study the dynamic interactions between wheel and rail induced by rail weld geometry irregularities.However,the cosine wave model used to simulate rail weld irregularities mainly focuses on the maximum value and neglects the geometric shape.In this study,novel theoretical models were developed for three categories of rail weld irregularities,based on measurements of the high-speed railway from Beijing to Shanghai.The vertical dynamic forces in the time and frequency domains were compared under different running speeds.These forces generated by the rail weld irregularities that were measured and modeled,respectively,were compared to validate the accuracy of the proposed model.Finally,based on the numerical study,the impact force due to rail weld irrregularity is modeled using an Artificial Neural Network(ANN),and the optimum combination of parameters for this model is found.The results showed that the proposed model provided a more accurate wheel/rail dynamic evaluation caused by rail weld irregularities than that established in the literature.The ANN model used in this paper can effectively predict the impact force due to rail weld irrregularity while reducing the computation time. 展开更多
关键词 Rail weld irregularity high-speed railway vehicle-track coupled dynamics wheel/rail dynamic vertical force artificial neural networks
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Dynamic modeling and simulation of irregular faults in axle box bearings of high-speed trains
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作者 Xiaohui GU Yajia WANG +2 位作者 Pengfei LIU Zechao LIU Shaopu YANG 《Applied Mathematics and Mechanics(English Edition)》 2025年第10期1883-1902,共20页
Axle box bearings are critical components of high-speed trains.Localized defects,such as pitting and spalling,on raceways or rollers pose significant threats to the operational safety of railway vehicles.In this work,... Axle box bearings are critical components of high-speed trains.Localized defects,such as pitting and spalling,on raceways or rollers pose significant threats to the operational safety of railway vehicles.In this work,a novel bearing-flexible axle boxvehicle coupling model is established to explore the vibration characteristics of axle box bearings with irregular localized defects.First,based on the contact and kinematic relationship between rollers and raceways,the three-dimensional(3D)bearing force elements are analyzed and formulated.Second,the established model and a flexible axle box are integrated into the vehicle,and the responses of the normal and faulty bearings under the combined excitations of wheel roughness and track irregularities are simulated.Third,the simulation results are verified through a rolling-vibrating test bench for full-scale wheelsets of high-speed trains.The comparisons of the fault-induced repetitive transients in the time-domain and the fault characteristic frequencies in the envelope spectra demonstrate the efficiency of the proposed model.Finally,based on the flexible axle box model,a sensitivity analysis of the accelerometer placements to the bearing faults is carried out,and the optimal one is identified based on both the time-domain and frequency-domain signal-to-noise ratios(SNRs)for engineering applications. 展开更多
关键词 axle box bearing irregular fault track irregularity flexible axle box accelerometer placement selection
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Influence of deterioration of CRTSⅢslab ballastless track irregularity on the safety and stability of high-speed vehicles
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作者 GAO Rui-kai XIN Tao +2 位作者 GAO Liang MA Shuai LIU Xiu-bo 《Journal of Central South University》 2025年第11期4613-4632,共20页
As one of the major high-speed railway ballastless track structures in China,CRTSIII slab ballastless track has been laid for more than 6500 km.However,there are no detailed studies on its track irregularity deteriora... As one of the major high-speed railway ballastless track structures in China,CRTSIII slab ballastless track has been laid for more than 6500 km.However,there are no detailed studies on its track irregularity deterioration throughout extended service periods,which may threaten the safety and stability of high-speed vehicles(HSV).In this study,a long-term tracking detection of CRTSIII slab ballastless track irregularities has been conducted,revealing its annual evolution law.An HSV-track coupled dynamics model was established to investigate the HSV dynamic responses under annual evolution of track irregularities.Considering the potential deterioration of track irregularities to extremely bad condition,the recommended classified limits for irregularity are proposed by analyzing the limit-exceeding probability of the safety and stability indexes of HSV.The results show that:taking 10 m wavelength as a demarcation,longer-wavelength irregularities exhibit larger amplitudes,faster evolution rates and a linear increasing trend,primarily affecting the stability of HSV.Conversely,shorter-wavelength irregularities exhibit smaller amplitudes and an insignificant evolution trend,predominantly affecting the safety of HSV.Furthermore,the periodic irregularity induced by the arching of 32 m simply-supported beam bridge should be paid closer attention to,as their evolution rate significantly surpasses that of irregularities at other wavelengths. 展开更多
关键词 high-speed railway CRTSIII slab ballastless track track irregularity deterioration characteristics vehicle dynamic responses track irregularity limit management
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Comprehensive Evaluation of Biomechanical and Biological Properties of the Porous Irregular Scaffolds Based on Voronoi-tessellation
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作者 Yuzhu Wang Chenhao Ma +3 位作者 Yufeng Wu Dawei Gao Yue Meng Haibin Wang 《Journal of Bionic Engineering》 2025年第1期322-340,共19页
The irregular porous structure,similar to human bone tissue,is more beneficial for bone ingrowth than the regular one.We proposed a new design method to create uniform and gradient irregular porous structures with por... The irregular porous structure,similar to human bone tissue,is more beneficial for bone ingrowth than the regular one.We proposed a new design method to create uniform and gradient irregular porous structures with porosities from 38 to 83%based on Voronoi tessellation.The models were fabricated using selective laser sintering,and micro-CT was used to assess their morphological features.Mechanical and fluid flow properties were evaluated through experiments and computational fluid dynamics simulations.Micro-CT scans confirmed that 3D printing can produce high-quality irregular structures.The Graded Irregular(GI)structure showed clear advantages in mechanical properties by reducing stress shielding and improving hydrodynamic performance with higher fluid flow velocity and lower permeability compared to the Uniform Irregular(UI)structure.Additionally,in vitro cell experiments indicated that the GI structure was better than the UI structure in promoting osteogenic differentiation,while in vivo animal studies showed that the GI structure was superior in terms of the ratio of Bone Volume to Total Volume(BV/TV)and Trabecular Number(Tb.N).Thus,the GI structure has greater application potential in bone tissue engineering. 展开更多
关键词 irregular structure Mechanical properties Fluid dynamic Bone growth
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Carbody sway behaviour of railway vehicles due to track irregularity from rail alternate side wear
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作者 Lai Wei Jing Zeng +3 位作者 Ren Luo Feng Gan Jijun Gong Jun Jiang 《Railway Engineering Science》 2025年第1期27-42,共16页
Track irregularity from rail alternate side wear is manifested as uneven rail wear waveforms alternating in the left and right rails with equal intervals,which will cause carbody sway behaviour of railway vehicles and... Track irregularity from rail alternate side wear is manifested as uneven rail wear waveforms alternating in the left and right rails with equal intervals,which will cause carbody sway behaviour of railway vehicles and greatly influences the passenger comfort.In this work,the carbody sway behaviour and mechanism due to track irregularity from rail alternate side wear and possible solutions to this issue were studied by the field testing and numerical calculation approaches.First,the carbody sway of an urban rail transit train is introduced with full-scale field tests,through which the rail alternate side wear is characterized and the formatted track irregularity are presented.Then,multibody vehicle dynamic models are developed to reproduce the carbody sway behaviour induced by the track irregularity from the rail alternate side wear.The creep forces acting on the wheel and rail are preliminarily discussed to study the influence of the carbody sway on the wear of the wheel flange and the rail corner.Finally,some potential solutions,e.g.improving the damping ratio of carbody rigid mode and rail grinding,are proposed to relieve this issue.It is concluded that an increased damping ratio of the carbody mode can alleviate the carbody sway and wheel–rail interactions,while properly maintaining track conditions can improve the vehicle performance. 展开更多
关键词 Carbody sway Track irregularity Rail wear Creep force Carbody mode
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Large-scale experimental study on scour around both slender and large monopiles under irregular waves
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作者 En-yu Gong Song-gui Chen +2 位作者 Xin Chen Da-wei Guan Jin-hai Zheng 《Water Science and Engineering》 2025年第3期369-377,共9页
Offshore wind power plays a crucial role in energy strategies.The results of traditional small-scale physical models may be unreliable when extrapolated to large field scales.This study addressed this limitation by co... Offshore wind power plays a crucial role in energy strategies.The results of traditional small-scale physical models may be unreliable when extrapolated to large field scales.This study addressed this limitation by conducting large-scale(1:13)experiments to investigate the scour hole pattern and equilibrium scour depth around both slender and large monopiles under irregular waves.The experiments adopted KeuleganeCarpenter number(NKC)values from 1.01 to 8.89 and diffraction parameter(D/L,where D is the diameter of the monopile,and L is the wave length)values from 0.016 to 0.056.The results showed that changes in the maximum scour location and scour hole shape around a slender monopile were associated with NKC,with differences observed between irregular and regular waves.Improving the calculation of NKC enhanced the accuracy of existing scour formulae under irregular waves.The maximum scour locations around a large monopile were consistently found on both sides,regardless of NKC and D/L,but the scour hole topography was influenced by both parameters.Notably,the scour range around a large monopile was at least as large as the monopile diameter. 展开更多
关键词 SCOUR KeuleganeCarpenter number irregular waves Equilibrium scour depth Large-scale test
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Monitoring track irregularities using multi-source on-board measurement data
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作者 Qinglin Xie Fei Peng +4 位作者 Gongquan Tao Yu Ren Fangbo Liu Jizhong Yang Zefeng Wen 《Railway Engineering Science》 2025年第4期746-765,共20页
Accurate monitoring of track irregularities is very helpful to improving the vehicle operation quality and to formulating appropriate track maintenance strategies.Existing methods have the problem that they rely on co... Accurate monitoring of track irregularities is very helpful to improving the vehicle operation quality and to formulating appropriate track maintenance strategies.Existing methods have the problem that they rely on complex signal processing algorithms and lack multi-source data analysis.Driven by multi-source measurement data,including the axle box,the bogie frame and the carbody accelerations,this paper proposes a track irregularities monitoring network(TIMNet)based on deep learning methods.TIMNet uses the feature extraction capability of convolutional neural networks and the sequence map-ping capability of the long short-term memory model to explore the mapping relationship between vehicle accelerations and track irregularities.The particle swarm optimization algorithm is used to optimize the network parameters,so that both the vertical and lateral track irregularities can be accurately identified in the time and spatial domains.The effectiveness and superiority of the proposed TIMNet is analyzed under different simulation conditions using a vehicle dynamics model.Field tests are conducted to prove the availability of the proposed TIMNet in quantitatively monitoring vertical and lateral track irregularities.Furthermore,comparative tests show that the TIMNet has a better fitting degree and timeliness in monitoring track irregularities(vertical R2 of 0.91,lateral R2 of 0.84 and time cost of 10 ms),compared to other classical regression.The test also proves that the TIMNet has a better anti-interference ability than other regression models. 展开更多
关键词 Track irregularities Vehicle accelerations On-board monitoring Multi-source data Deep learning
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Research on Optimization Method for Irregular Seismic Acquisition in Curved Wave Domain Based on Simulated Annealing
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作者 Zhao Hu Chen Meng-yang +4 位作者 Ni Yu-dong Zhao Rong-rong Jiang Fu-hao Chen Wei Dai Jing-yun 《Applied Geophysics》 2025年第1期220-230,236,共12页
With the continued expansion of oil and gas exploration,both in the eastern and western regions,the quality of seismic acquisition has become a key factor in oil and gas exploration in complex areas.However,convention... With the continued expansion of oil and gas exploration,both in the eastern and western regions,the quality of seismic acquisition has become a key factor in oil and gas exploration in complex areas.However,conventional seismic acquisition methods cannot efficiently avoid challenging acquisition locations and produce high-quality seismic data.In this regard,based on the curvelet transform,this paper proposes an irregular seismic acquisition method,which utilizes the high-precision characteristics of the curvelet transform and simulated annealing algorithm to establish a method for the evaluation of the coherence of irregular sampling matrices and design of observation systems.The method was verified using forward simulation and actual acquisition data.The results suggest the superior quality of seismic data gathered in complicated areas through this method over those acquired using traditional methods,which can provide technical guidance for the design of observation systems in complex areas. 展开更多
关键词 Seismic acquisition curvelet transform irregular acquisition design of observation system
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Research on the Clinical Correlation Between the Detection of Irregular Antibodies in Red Blood Cell Blood Groups and Hemolytic Disease of the Newborn
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作者 Yanping Yang Wei Li +3 位作者 Jiaqing Duan Yifan Yu Lili Yang Ziyu Zhou 《Journal of Clinical and Nursing Research》 2025年第12期66-71,共6页
Objective:To explore the clinical correlation between the detection of irregular antibodies in red blood cell blood groups and hemolytic disease of the newborn.Methods:This study selected newborns who underwent examin... Objective:To explore the clinical correlation between the detection of irregular antibodies in red blood cell blood groups and hemolytic disease of the newborn.Methods:This study selected newborns who underwent examinations and were diagnosed with hemolytic disease at our hospital from October 2024 to October 2025 as the research subjects.Based on the severity of their hemolytic disease,the infants were divided into a severe group and a mild group.All the infants underwent detection for irregular antibodies in their red blood cell blood groups.General information,blood types,and irregular antibody test results of the two groups were recorded.Univariate analysis was conducted,and variables with statistical significance from the univariate analysis were included in a multivariate logistic regression analysis to explore the clinical correlation between the detection of irregular antibodies in red blood cell blood groups and hemolytic disease of the newborn.Results:Through univariate analysis,it was found that IgG1 and IgG3 subclass antibodies,as well as ABO blood group incompatibility,were statistically significant(p<0.05).When these factors were included in a multivariate logistic regression analysis,it was discovered that IgG1(OR=2.461,95%CI:1.859-2.709),IgG3(OR=2.509,95%CI:1.918-2.893),and ABO blood group incompatibility(OR=2.998,95%CI:2.149-3.493)all exhibited a positive correlation with hemolytic disease of the newborn.Conclusion:As levels of IgG1,IgG3,and ABO blood group incompatibility increase,the incidence of hemolytic disease of the newborn also rises,warranting clinical attention. 展开更多
关键词 Red blood cell blood group irregular antibody detection NEWBORN Hemolytic disease Correlation analysis
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Vibration Transfer Function of Railway Vehicle System and its Spatial Coherence Under Vertical Track Irregularity Conditions
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作者 Peng Lu Xi Wang Yu Hou 《Chinese Journal of Mechanical Engineering》 2025年第2期374-393,共20页
Current research on rail vehicle system vibrations primarily relies on numerical methods,with vibration transfer functions commonly derived through data fitting.However,the physical mechanisms underlying these vibrati... Current research on rail vehicle system vibrations primarily relies on numerical methods,with vibration transfer functions commonly derived through data fitting.However,the physical mechanisms underlying these vibrations are not well understood.To clarify the vibration transfer function and its characteristics,four basic input vectors are defined,and an analytical method is proposed.The vibration transfer functions of the vehicle system are solved,and their spatial coherence is analyzed.The results show that there are two spatial scales and four coherent modes in the vehicle system.The track irregularity wavelengths are combined with two spatial scales to alter the proportions of basic input vectors and then show the characteristics of spatial coherence.Four coherent modes are involved in wheel-rail force and primary suspension force;two coherent modes are involved in bogie vertical motion;and their dominant modes vary with the input frequency.On the other hand,the coherent modes involved in the bogie pitching motion and vehicle body motion are single and fixed over the whole range of frequency.This study presents an analytical method for the rapid solution of dynamic responses in vehicle systems and systematically analyzes the coherence behavior of vibration transfer functions with respect to tracking irregularity wavelengths. 展开更多
关键词 Vertical track irregularity Vibration transfer function Spatial coherence Dominant mode Transfer matrix method
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Finite-difference simulation of elastic waves in fluid-solid coupled media with irregular interface
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作者 Xu-Hui Zhou Yi-Yuan Wang Shou-Dong Huo 《Petroleum Science》 2025年第10期4083-4101,共19页
The finite-difference method(FDM)is an essential tool in exploration geophysics,particularly for simulating wave propagation in fluid-solid coupled media.Despite its widespread use,FDM faces significant challenges tha... The finite-difference method(FDM)is an essential tool in exploration geophysics,particularly for simulating wave propagation in fluid-solid coupled media.Despite its widespread use,FDM faces significant challenges that affect its accuracy and efficiency.Firstly,the implicit handling of fluid-solid boundary conditions through parameter averaging strategy often results in low simulation accuracy.Secondly,surface topography can introduce staircase diffraction noise when grid spacing is large.To address these issues,this paper presents a novel approach.We derive an implicit expression for fluidsolid boundary conditions based on average medium theory,translating explicit boundary conditions into model parameter modification.This enables implicit handling of fluid-solid boundaries by modifying the parameters near the boundary.Furthermore,to mitigate staircase diffraction noise,we employ multiple interface discretization based on the superposition method.This effectively suppresses staircase diffraction noise without requiring grid refinement.The efficacy of our method in accurately modeling wave propagation phenomena in fluid-solid coupled media is demonstrated by numerical examples.Results align well with those obtained using the spectral element method(SEM),with significant reduction in staircase diffraction noise. 展开更多
关键词 Fluid-solid coupled media Boundary condition irregular interface Numerical simulation Staircase diffraction noise
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A structured distributed learning framework for irregular cellular spatial-temporal traffic prediction
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作者 Xiangyu Chen Kaisa Zhang +4 位作者 Gang Chuai Weidong Gao Xuewen Liu Yibo Zhang Yijian Hou 《Digital Communications and Networks》 2025年第5期1457-1468,共12页
Spatial-temporal traffic prediction technology is crucial for network planning,resource allocation optimizing,and user experience improving.With the development of virtual network operators,multi-operator collaboratio... Spatial-temporal traffic prediction technology is crucial for network planning,resource allocation optimizing,and user experience improving.With the development of virtual network operators,multi-operator collaborations,and edge computing,spatial-temporal traffic data has taken on a distributed nature.Consequently,noncentralized spatial-temporal traffic prediction solutions have emerged as a recent research focus.Currently,the majority of research typically adopts federated learning methods to train traffic prediction models distributed on each base station.This method reduces additional burden on communication systems.However,this method has a drawback:it cannot handle irregular traffic data.Due to unstable wireless network environments,device failures,insufficient storage resources,etc.,data missing inevitably occurs during the process of collecting traffic data.This results in the irregular nature of distributed traffic data.Yet,commonly used traffic prediction models such as Recurrent Neural Networks(RNN)and Long Short-Term Memory(LSTM)typically assume that the data is complete and regular.To address the challenge of handling irregular traffic data,this paper transforms irregular traffic prediction into problems of estimating latent variables and generating future traffic.To solve the aforementioned problems,this paper introduces split learning to design a structured distributed learning framework.The framework comprises a Global-level Spatial structure mining Model(GSM)and several Nodelevel Generative Models(NGMs).NGM and GSM represent Seq2Seq models deployed on the base station and graph neural network models deployed on the cloud or central controller.Firstly,the time embedding layer in NGM establishes the mapping relationship between irregular traffic data and regular latent temporal feature variables.Secondly,GSM collects statistical feature parameters of latent temporal feature variables from various nodes and executes graph embedding for spatial-temporal traffic data.Finally,NGM generates future traffic based on latent temporal and spatial feature variables.The introduction of the time attention mechanism enhances the framework’s capability to handle irregular traffic data.Graph attention network introduces spatially correlated base station traffic feature information into local traffic prediction,which compensates for missing information in local irregular traffic data.The proposed framework effectively addresses the distributed prediction issues of irregular traffic data.By testing on real world datasets,the proposed framework improves traffic prediction accuracy by 35%compared to other commonly used distributed traffic prediction methods. 展开更多
关键词 Network measurement and analysis Distributed learning irregular time series Cellular spatial-temporal traffic Traffic prediction
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