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EQUIVALENT THEOREMS ON SIMULTANEOUS APPROXIMATION BY COMBINATIONS OF BERNSTEIN OPERATORES 认领 引用 被引量：1
1
作者 Li Cheng Linsen Xie 《Analysis in Theory and Applications》 2006年第3期246-253,共8页
In this paper we give equivalent theorems on simultaneous approximation for the combinations of Bernstein operators by r-th Ditzian- Totik modulus of smoothness w^rφλ （f, t）（0 ≤ λ≤ 1）. We also investigate the... In this paper we give equivalent theorems on simultaneous approximation for the combinations of Bernstein operators by r-th Ditzian- Totik modulus of smoothness w^rφλ （f, t）（0 ≤ λ≤ 1）. We also investigate the relation between the derivatives of the combinations of Bernstein operators and the smoothness of derivatives of functions. 展开更多
关键词 Bernstein operators combination simultaneous approximation moduli of smoothness
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EQUIVALENT THEOREMS ON SIMULTANEOUS APPROXIMATION BY COMBINATIONSOF GAMMA OPERATORS 认领 引用
2
作者 LiangchengMao Xueyan Xiang Wenshan Yang 《Analysis in Theory and Applications》 2008年第2期149-159,共11页
In this paper, some equivalent theorems on simultaneous approximation for combinations of Gamma operators by weighted moduli of smoothness ωφλ^r（f,t）wφ^s（0≤λ≤1）are given. The relation between derivatives of... In this paper, some equivalent theorems on simultaneous approximation for combinations of Gamma operators by weighted moduli of smoothness ωφλ^r（f,t）wφ^s（0≤λ≤1）are given. The relation between derivatives of combinations of Gamma operators and smoothness of derivatives of functions is also investigated. 展开更多
关键词 Gamma operator simultaneous approximation weighted moduli of smoothness
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The order of accuracy related to the error from source approximation in the method of characteristics for purely absorbing materials in planar geometry 认领 引用
3
作者 Ji-Pu Wang Zhen-Wen Wei +5 位作者 Can Huang William Martin Brendan Kochunas Qi-Cang Shen Si-Juan Chen Martin Pilch 《Nuclear Science and Techniques》 SCIE EI CAS CSCD 2026年第6期257-270,共14页
The method of characteristics(MoC)is a well-established tool for lattice physics calculations,offering advantages such as accurate representation of both lattice geometry and boundary conditions.The flat source(FS)app... The method of characteristics(MoC)is a well-established tool for lattice physics calculations,offering advantages such as accurate representation of both lattice geometry and boundary conditions.The flat source(FS)approximation is the most commonly used approach,whereas the linear source(LS)approximation enhances the accuracy by preserving the higherorder spatial moments of the neutron source.However,determining the order of accuracy(OoA)for spatial discretization in the MoC is challenging,particularly for the LS approximation.This complexity arises because MoC employs two spatial meshes:the fission source region(FSR)mesh and a set of characteristic rays used to integrate the transport equation over the FSR mesh.In this study,we analyzed the spatial order of accuracy of the MoC in planar geometry for both FS and LS approximations in relation to the distributed source.Our theoretical predictions are consistent with the numerical results obtained using the Method of Manufactured Solutions(MMS).The results demonstrate that the FS approximation achieves second-order accuracy,whereas the LS approximation attains fourth-order accuracy. 展开更多
关键词 Method of characteristics Order of accuracy Flat source approximation Linear source approximation Method of manufactured solutions
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Fast Sweeping Method Based on Equivalent Slowness for Solving the Eikonal Equation 认领 引用
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作者 Hong-Yi Jiang Jian-Xun Yang +3 位作者 Yong-ming Lu Jun-xin Guo Hao Zhang Li-chan Wang 《Applied Geophysics》 SCIE CSCD 2026年第1期162-171,430,共10页
The Fast Sweeping Method based on equivalent slowness is an improved algorithm for solving seismic wave traveltime,aiming to address the significant errors caused by the large wavefront curvature near the source point... The Fast Sweeping Method based on equivalent slowness is an improved algorithm for solving seismic wave traveltime,aiming to address the significant errors caused by the large wavefront curvature near the source point in traditional methods.The core of this method lies in transferring part of the complex curvature information of the traveltime eld to the distance term of the analytical solution,thereby simplifying the calculation process of the traveltime eld.Specically,by dening the equivalent slowness as the ratio of traveltime to the straight-line distance from a point to the source point,using a nite dierence scheme to discretely solve the equivalent slowness,and then converting it into traveltime values,this approach can signicantly enhance computational accuracy and efciency.In this study,numerical examples are employed to verify the effectiveness and superiority of the Fast Sweeping Method based on equivalent slowness in handling complex seismic wave traveltime calculations. 展开更多
关键词 Fast Sweeping Method equivalent slowness Eikonal equation Seismic Source Processing
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Investigation of equivalent strength parameters of soil-rock mixture using numerical manifold method 认领 引用
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作者 Junfeng Li Yongtao Yang +2 位作者 Yang Xia Hong Zheng Shuilin Wang 《Journal of Rock Mechanics and Geotechnical Engineering》 SCIE CSCD 2026年第1期637-650,共14页
As binary geological media,soil-rock mixtures(SRMs)exhibit a distinct gradational composition,leading to their unique mechanical behaviors.To appraise the stability of SRM slopes,it is essential to determine equivalen... As binary geological media,soil-rock mixtures(SRMs)exhibit a distinct gradational composition,leading to their unique mechanical behaviors.To appraise the stability of SRM slopes,it is essential to determine equivalent parameters of SRMs,which are typically obtained through experimental and numerical methods.In contrasted to other numerical methods,the numerical manifold method(NMM)is more effective in addressing SRM problems.This is because the high-precision regular mathematical meshes in NMM can be used without aligning with the soil-rock interfaces and boundaries of SRMs.In the current research,the equivalent strength parameters of SRMs,i.e.the equivalent cohesion ce and internal friction angleϕe,are determined using NMM.Initially,an NMM triaxial numerical model is established and validated based on triaxial experiments.Subsequently,the soil and rock parameters are derived through parameter inversion.Moreover,the impacts of rock content,size,shape and rock blocks'major-axis orientation on ce andϕe of SRMs are thoroughly examined using the NMM triaxial numerical model.Additionally,a fitting function is proposed to linkϕe to the rock content and size of SRMs.When other influencing factors are fixed,the above fitting model leads to the following conclusions:(1)the predictedϕe of SRMs increase with the increase of rock content;and(2)SRM samples with smaller rocks display a higher predictedϕe. 展开更多
关键词 Soil-rock mixtures Equivalent strength parameters Numerical manifold method
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A computational method for equivalent area distribution characterized by the normal contact behavior of two rough surfaces 认领 引用
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作者 Linqiang ZHOU Shijie SONG +1 位作者 Hao QU Ji QIAN 《ENGINEERING Structure and Civil Engineering》 SCIE EI CAS CSCD 2026年第3期645-656,共12页
The contact state of surfaces significantly influences the dynamic properties of assemblies,where the contact area is the key parameter to describe the contact state of assemblies.To address the computational challeng... The contact state of surfaces significantly influences the dynamic properties of assemblies,where the contact area is the key parameter to describe the contact state of assemblies.To address the computational challenges associated with contact area distribution,an improved nominal contact area distribution model is proposed for accurately characterizing the contact state of surfaces.Based on the distribution pattern of contact area,a cumulative quantity function for nominal contact area in logarithmic form is established.And its superiority is proved by comparing with two traditional functions.Based on this,a fractal dimension conversion formula was derived to equate the contact of two rough surfaces to the contact of single rough surface,thereby the optimized expression for the nominal contact area distribution function is obtained.The proposed model is verified through actual contact analysis of the anchorage system(anchor plate and anchor base plate).The results show that the proposed cumulative quantity function for nominal contact area and equivalent fractal dimension function exhibit excellent fitting accuracy and feasibility.In the contact between two rough surfaces,the surface with the smaller fractal dimension dominates the contact behavior.The effectiveness and applicability of the proposed model in complex contact problems are verified through case studies.This research provides new theoretical tools for multiscale mechanical analysis of complex contact surfaces,which has important application value in these fields such as precision manufacturing and tribological optimization. 展开更多
关键词 fractal theory rough surface pressure grade equivalent fractal dimension normal contact area distribution function
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Solutions of three-body problem based on an equivalent system approach 认领 引用 被引量：1
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作者 Jing Tang Xing 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2026年第1期292-309,共18页
Generalised reduced masses with a set of equations governing the three relative motions between two of 3-bodies in their gravitational field are established,of which the dynamic characteristics of 3-body dynamics,fund... Generalised reduced masses with a set of equations governing the three relative motions between two of 3-bodies in their gravitational field are established,of which the dynamic characteristics of 3-body dynamics,fundamental bases of this paper,are revealed.Based on these findings,an equivalent system is developed,which is a 2-body system with its total mass,constant angular momentum,kinetic and potential energies same as the total ones of three relative motions,so that it can be solved using the well-known theory of the 2-body system.From the solution of an equivalent system with the revealed characteristics of three relative motions,the general theoretical solutions of the 3-body system are obtained in the curve-integration forms along the orbits in the imaged radial motion space.The possible periodical orbits with generalised Kepler’s law are presented.Following the description and mathematical demonstrations of the proposed methods,the examples including Euler’s/Lagrange’s problems,and a reported numerical one are solved to validate the proposed methods.The methods derived from the 3-body system are extended to N-body problems. 展开更多
关键词 Three-body problem Equivalent system with solutions Orbit-equation of a conic section Generalised reduced mass Chaotic motions Generalised Kepler’s law N-body problem
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Quasibound states of massless spin particles in Schwarzschild equivalent mediums 认领 引用
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作者 Li-Qin Mi Dandan Li Zhong-Heng Li 《Communications in Theoretical Physics》 SCIE CAS CSCD 2026年第2期78-87,共10页
We show that in Schwarzschild equivalent mediums,the massless spin particles obey the same dynamical equation,from which we obtain remarkably simple formulae for the frequencies of the quasibound states.We find that t... We show that in Schwarzschild equivalent mediums,the massless spin particles obey the same dynamical equation,from which we obtain remarkably simple formulae for the frequencies of the quasibound states.We find that the quasibound frequencies of different bosons can be identical at the same quantum number l,and the same is true of different fermions,but a quasibound frequency for bosons can never equal a quasibound frequency for fermions.These results mean that in Schwarzschild equivalent mediums with the quasibound-state boundary conditions,characteristics of electromagnetic waves are the same as those for all the massless bosonic waves,thereby allowing electromagnetic waves to simulate gravitational waves.Our predictions can be tested in future experiments,building upon the successful preparation of Schwarzschild equivalent mediums. 展开更多
关键词 quasibound state theory of analogical experiment Schwarzschild equivalent medium gravitational wave electromagnetic wave massless spin particle
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A Koopman-Based Equivalent-Input-Disturbance Tremor-Suppressing Strategy 认领 引用
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作者 Mingyuan Xie Jinhua She +3 位作者 Zhen-Tao Liu Jian Huang Daiki Sato Seiichi Kawata 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI CSCD 2026年第6期1521-1523,共3页
Dear Editor,This letter introduces a novel Koopman-based equivalent-inputdisturbance(EID)approach to enhance tremor suppression performance.Since the first-order linear model used in the conventional EID approach cann... Dear Editor,This letter introduces a novel Koopman-based equivalent-inputdisturbance(EID)approach to enhance tremor suppression performance.Since the first-order linear model used in the conventional EID approach cannot accurately describe the wrist-exoskeleton system,we propose a Koopman modeling framework to construct a high-precision linear model.Furthermore,we incorporate an additional gain parameter into the EID estimator to improve the tremor suppression performance.Simulation results demonstrate the superiority of our approach. 展开更多
关键词 enhance tremor suppression performancesince Koopman based modeling koopman modeling framework tremor suppression High precision linear model Gain parameter Equivalent input disturbance
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Improved probabilistic seismic AVO inversion constrained by instantaneous phase using quadratic PP-reflectivity approximation and IA2RMS-Gibbs algorithm 认领 引用
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作者 Shuang-Shuang Zhou Xing-Yao Yin +1 位作者 Kun Li Ya-Ming Yang 《Petroleum Science》 SCIE EI CAS CSCD 2026年第1期127-142,共16页
Seismic amplitude variation with offset(AVO)inversion is a cornerstone of oil and gas reservoir prediction,enabling the estimation of subsurface elastic parameters and characterization of stratigraphic interfaces.Howe... Seismic amplitude variation with offset(AVO)inversion is a cornerstone of oil and gas reservoir prediction,enabling the estimation of subsurface elastic parameters and characterization of stratigraphic interfaces.However,balancing inversion accuracy and computational efficiency remains a critical challenge.To address this,we propose a novel probabilistic AVO inversion framework integrating three key innovations.First,we derive a high-precision quadratic approximation for compressional(P-wave)reflectivity by retaining first-and second-order terms from the exact Zoeppritz equations through a perturbation strategy.This approach significantly enhances accuracy compared to conventional linear approximations,particularly in reflecting the true amplitude variation at large angles.Subsequently,to improve lateral continuity and stratigraphic resolution,we introduce an instantaneous phase constraint derived via the Hilbert transform.This constraint leverages phase sensitivity to seismic waveform coherence,ensuring geologically consistent interface characterization during stochastic inversion.Furthermore,we develop a hybrid Markov Chain Monte Carlo(MCMC)algorithm combining adaptive Gibbs sampling with the independent doubly adaptive rejection Metropolis sampling(IA2RMS)method.This framework efficiently samples high-dimensional posterior probability density functions(PDFs)of elastic pa rameters:Gibbs sampling gene rates adaptive proposal distributions,while IA2RMS accele rates Markov chain convergence through location-and scale-adjustable proposals.Numerical experiments and field seismic data demonstrate the robustness and feasibility of the proposed probabilistic AVO inversion method. 展开更多
关键词 Quadratic approximation Instantaneous phase constraint Gibbs sampling Independent doubly adaptive rejection metropolis sampling(IA2RMS) Probability density functions(PDFs)
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A fast equivalent-isotropic-plate model for the symmetrically stiffened plate under pulse loading 认领 引用
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作者 Chongxi Jiao Mu Wang Xinming Qiu 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2026年第6期477-489,共13页
In engineering,a reasonable and efficient method to simplify the large-scale calculation of dynamic response of stiffened plates is highly desired.This paper proposes a novel equivalent-isotropic-plate model(EIPM)to c... In engineering,a reasonable and efficient method to simplify the large-scale calculation of dynamic response of stiffened plates is highly desired.This paper proposes a novel equivalent-isotropic-plate model(EIPM)to convert a symmetrically stiffened plate to an isotropic flat plate within elasticity.EIPM provides concise and explicit formulas to calculate the equivalent plate thickness,which can save a lot of computational resources compared with direct simulation or solving complex differential equations.Under uniformly distributed impulse loading,EIPM performs excellently in predicting the maximum deflection response with an error of no more than 10%.The stiffened and the equivalent plates have similar vibration modes,but the former has a vibration frequency slightly higher than the latter by about 17%at maximum.After verification,EIPM is suitable for various complex stiffening forms with independence of materials and loads,and even qualified for large deformation problems.Due to its accuracy,efficiency,and applicability,the EIPM has potential applications in structural optimization and fast prediction of dynamic response. 展开更多
关键词 Equivalent plate model Symmetrically stiffened plate Isotropic equivalence Dynamic response Pulse loading
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Measurement of the equivalent complex permittivity of electromagnetic structural materials without prior thickness 认领 引用
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作者 Xiang-Bao Zhu Yun-Peng Zhang +7 位作者 Pin-Hong Xie Yi-Hang Tu Jia-Wei Long Xue Niu Chong Gao Cheng-Yong Yu Yong Gao En Li 《Chinese Physics B》 SCIE EI CAS CSCD 2026年第4期202-212,共11页
Electromagnetic structural materials exhibit significant sensitivity to the polarization state and incidence angle of electromagnetic waves.The equivalent complex permittivity is the core parameter that describes the ... Electromagnetic structural materials exhibit significant sensitivity to the polarization state and incidence angle of electromagnetic waves.The equivalent complex permittivity is the core parameter that describes the dielectric properties of electromagnetic structural materials.Therefore,accurate characterization of their equivalent complex permittivity is essential for establishing electromagnetic models and guiding the design of functional devices.This paper proposes a broadband inversion method based solely on reflection measurements at different incident polarizations and incident angles.By establishing a set of adaptive equations for multi-reflection measurement states under oblique incidence,the proposed method directly resolves the equivalent complex permittivity without requiring prior knowledge of the sample thickness and iterative phase unwrapping,and obtains broadband measurement results in a single measurement.The simulation and experimental results show that this method has good testing consistency and accuracy.This study provides a highprecision,low-cost and efficient testing solution for dielectric property evaluation of electromagnetic structural materials.It can simplify the complex modeling design of electromagnetic structural materials into an equivalent single-layer material design,providing a reference value for rapid analysis of the scattering characteristics of complex structures. 展开更多
关键词 equivalent complex permittivity electromagnetic structural materials broadband thickness unknown
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HYDROSTATIC APPROXIMATION OF THE NAVIER-STOKES-ALPHA MODEL IN A THIN STRIP 认领 引用
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作者 Léo GLANGETAS Van-Sang NGO El Mehdi SAID 《Acta Mathematica Scientia》 SCIE CSCD 2026年第3期1287-1323,共37页
In this paper we study the hydrostatic approximation of the Navier-Stokes-alpha(NS-α)small initial data in appropriate analytic function spaces.We also justify this approximation by proving the convergence of the Nav... In this paper we study the hydrostatic approximation of the Navier-Stokes-alpha(NS-α)small initial data in appropriate analytic function spaces.We also justify this approximation by proving the convergence of the Navier-Stokes-alpha system towards its hydrostatic limit. 展开更多
关键词 Navier-Stokes-αmodel hydrostatic approximation analyticity
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Improved branched multi-point approximation method and its application in spacecraft topology optimization 认领 引用
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作者 Shuanjun LIU Hai HUANG +1 位作者 Pengcheng WANG Weipeng LI 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2026年第3期431-446,共16页
The Branched Multi-point Approximation(BMA)method holds immense potential in tackling topology optimization challenges involving discrete variables.This research focuses on enhancing the adaptability,approximation eff... The Branched Multi-point Approximation(BMA)method holds immense potential in tackling topology optimization challenges involving discrete variables.This research focuses on enhancing the adaptability,approximation efficiency and engineering application of the method.Four key advancements are presented below.Firstly,an adjusted BMA function is introduced,which comprehensively incorporates the topologies of known and current points,utilizing topological difference between them as the foundation for function segmentation.This function further mitigates singularities as continuous variables approach zero,and is verified for its approximation capability through randomized numerical simulations.Secondly,the concept of adjacent individuals is proposed to ensure that the topological disparities between the current point and current optimal solution remain within manageable limits.This approach prevents approximation failures while maintaining the diversity of the population generated by genetic algorithm.Thirdly,for optimizing continuous variable in complex problems,an improved separable-variable approximation is formulated to ensure strong duality validity.Finally,an adaptive technique for move limit of the retained continuous variables is established.Benchmark examples demonstrate the effectiveness of the improved method in iterations and optimal results.Optimization systems capable of performing topology optimization for spacecraft such as stiffened satellite and carrier rocket have been rare in prior research. 展开更多
关键词 Adaptive technique Adjacent individual Branched multi-point approximation Spacecraft Topology optimization
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Refined equivalent modeling of sloshing dynamics in the multi-ballonet system of stratospheric airship 认领 引用
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作者 Yuyang GE Xiaoliang WANG Quanbao WANG 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2026年第4期334-348,共15页
Multiple ballonets are arranged within the airship,each confined to an individual section by diaphragms.The gas-air interface within the ballonet sections induces sloshing,which subsequently influences the motion of t... Multiple ballonets are arranged within the airship,each confined to an individual section by diaphragms.The gas-air interface within the ballonet sections induces sloshing,which subsequently influences the motion of the airship.This paper presents an equivalent mechanical model for simulating gas sloshing in multiple ballonet sections to better understand this influence.Building on previous work,which employed a spring-mass-dashpot system to model sloshing in a tank and utilized the strip method to represent a horizontal cylinder by accumulating tank slices,this paper further introduces a frequency normalization process to enhance the cylinder model,thereby enabling the simplification of an individual section of the airship in which the ballonet is located.Based on these individual ballonet sections,a final multi-ballonet sloshing model is established,providing a quantitative understanding of the sloshing forces and moments under variations in airship layouts,ballonet numbers,and air filling levels.The sloshing behavior of the airship's multiballonet system is similar to that of a multi-compartment horizontal cylinder,showing limited sensitivity to the air filling level and an optimal number of ballonets,with 5 to 6 being ideal for airships like the YEZ-2A.This model facilitates the development of a motion-sloshing model,enabling airship designers to efficiently account for multi-ballonet gas sloshing effects during the initial design and control stages,contributing to more accurate airship motion modeling. 展开更多
关键词 Airships Ballonet systems Equivalent modeling Fluid sloshing Sloshing dynamics
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Research on heuristic approximation algorithm of the densest k-subgraph discovery in large-scale dynamic graphs 认领 引用
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作者 HAN Tao TIAN Yuxi +1 位作者 ZHAO Jianwei WANG Senzhang 《Journal of Southeast University(English Edition)》 EI CAS 2026年第1期74-79,共6页
To address the issue that static densest subgraph mining algorithms often exhibit low efficiency when handling large scale dynamic graphs,this paper proposes a heuristic approximation algorithm.The algorithm approxima... To address the issue that static densest subgraph mining algorithms often exhibit low efficiency when handling large scale dynamic graphs,this paper proposes a heuristic approximation algorithm.The algorithm approximates the densest k-subgraphs of the entire graph through four steps:partitioning the large-scale dynamic graph,constructing a partial set of the densest k-subgraphs,heuristically merging the subgraph sets,and finally extracting the densest k-subgraphs.This approach significantly reduces the computational time for large-scale dynamic graphs while simultaneously improving the quality of the resulting subgraphs.This algorithm is applicable to various definitions of“density”and can accommodate diverse requirements on the number of edges.When integrated with existing static densest subgraph detection algorithms,it achieves scalability and computational efficiency.Theoretical analysis demonstrates that the optimal density of the densest k-subgraphs extracted by the proposed algorithm reaches 0.9.To evaluate the performance of the algorithm,experiments were conducted on four billion-scale datasets:Friendster,Orkut,YouTube,and DBLP.The results indicate that the proposed algorithm outperforms static methods in both runtime efficiency and subgraph quality on large-scale dynamic graphs. 展开更多
关键词 the densest k-subgraph features heuristic approximation algorithm optimal density
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Precursory changes in seismic processes before the 2025 MW7.7 Myanmar earthquake revealed in the equivalent dimension space 认领 引用
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作者 Stanisław Lasocki Beata Orlecka-Sikora Anastasios Kostoglou 《Earthquake Science》 CAS CSCD 2026年第3期339-354,共16页
We used the seismic regularity and seismic strain dynamics coefficients to investigate the seismic process preceding the 2025 M7.7 Myanmar earthquake,which ruptured the central portion of the Sagaing Fault.The analysi... We used the seismic regularity and seismic strain dynamics coefficients to investigate the seismic process preceding the 2025 M7.7 Myanmar earthquake,which ruptured the central portion of the Sagaing Fault.The analysis focused on a seismic cluster located between the Sagaing Fault and Sunda Trench over the ten years prior to the mainshock.In our approach,earthquakes are parameterized by magnitude,elapsed time since the previous event,and epicentral distance to the previous event.These parameters were transformed into equivalent dimensions,ensuring their comparability.The seismic regularity coefficient,which is the mean distance between earthquakes represented by these transformed parameters,acts as a proxy for the strain localization and rupture coherence.The seismic strain dynamics coefficient,which is defined as the logarithm of the ratio between the sum of the cube roots of the scalar seismic moments and the time span over which the events occurred,serves as a proxy for the average inelastic strain accumulation within the fault damage zone.Approximately 29 months before the mainshock,a precursory signal emerged in the seismic regularity coefficient time series.This signal decreased to a pronounced minimum approximately 26 months before the earthquake,followed by an increase to a distinct maximum approximately 10 months before the mainshock.The seismicity responsible for this pattern was distributed across a large area(~1,550 km×500 km),with most events occurring on smaller fault structures west of the Sagaing Fault,rather than along the main fault itself.The premonitory behavior of the seismic regularity coefficient prior to the Myanmar earthquake closely matched the patterns observed during other large events.The signal was even more pronounced when analyzed with the seismic strain dynamics coefficient.The joint evolution of both parameters was interpreted within the framework of a model that describes the preparatory process leading to large earthquakes.The obtained results confirm the potential of this approach for long-term earthquake forecasting. 展开更多
关键词 2025 Myanmar earthquake seismic regularity coefficient seismic strain dynamics coefficient precursory signals equivalent dimension space
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Equivalent Constant Amplitude Spectrum Design Method and Experimental Verification of Structural Crack Growth Flight⁃by⁃Flight Spectrum 认领 引用
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作者 ZHU Gaoshang ZHAO Qia CAO Jing 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI CSCD 2026年第1期85-94,共10页
In fatigue damage tolerance verification tests of aircraft structures,the simulation and loading of flight-byflight spectra require considerable time and resources.To improve the efficiency of load spectrum design and... In fatigue damage tolerance verification tests of aircraft structures,the simulation and loading of flight-byflight spectra require considerable time and resources.To improve the efficiency of load spectrum design and testing,an equivalent constant-amplitude spectrum design method for flight-by-flight spectra is proposed based on the equivalence of crack growth behavior.By combining the Paris crack growth model with the Walker stress ratio correction,the equivalent stress amplitude is directly calculated using structural parameters and load spectrum characteristics,enabling a rapid transformation from variable-amplitude spectra to constant-amplitude spectra.The original spectrum is discretized based on the load-exceedance curve,and the equivalence relationship between multilevel block spectra and constant-amplitude spectra is established.Taking a typical lower wing skin structure of a transport aircraft as an example,two equivalent spectra are designed and validated through fatigue crack growth tests on 2024-T351 center-hole plate specimens.The experimental results show that the fatigue life deviation between the equivalent spectra and the original flight-by-flight spectrum is within 10%,demonstrating the effectiveness of the proposed method.Moreover,the equivalent spectrum constructed under the condition of invariant mean flight stress exhibits higher equivalence accuracy.The influence of spectral shape on the equivalent stress amplitude is further analyzed,revealing that the equivalent stress amplitude increases with the spectrum shape coefficient.The proposed method provides a useful reference for load spectrum design in aircraft structural damage tolerance verification tests. 展开更多
关键词 aircraft structure crack growth fatigue load spectrum equivalent test stress intensity factor
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The Impact of Metabolic Equivalent-Based Exercise Rehabilitation Nursing Combined with Exercise-Psychological-Sleep Nursing on Mental Health and Cardiac Rehabilitation in Elderly Patients with Coronary Heart Disease and Heart Failure 认领 引用
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作者 Yuan Yuan Xia Zhou 《Journal of Clinical and Nursing Research》 2026年第4期433-439,共7页
Objective:To explore the effects of integrating metabolic equivalent-based exercise rehabilitation with exercise-psychological-sleep nursing in elderly patients with coronary heart disease complicated by heart failure... Objective:To explore the effects of integrating metabolic equivalent-based exercise rehabilitation with exercise-psychological-sleep nursing in elderly patients with coronary heart disease complicated by heart failure.Methods:A total of 70 patients meeting the inclusion criteria were selected and randomly divided into a control group(n=35,receiving conventional cardiac rehabilitation nursing)and an observation group(n=35,receiving metabolic equivalent-based exercise rehabilitation nursing combined with exercise-psychological-sleep integrated intervention)using a random number table method.Mental health indicators,cardiac rehabilitation indicators,and sleep quality indicators were observed and compared between the two groups before and after nursing.Results:After nursing,the observation group had significantly lower SAS scores,SDS scores,and PSQI scores,as well as higher 6MWT and METs levels compared to the control group(p<0.05).Conclusion:Metabolic equivalent-based exercise rehabilitation nursing combined with exercise-psychological-sleep integrated intervention can effectively alleviate anxiety and depression in patients,promote cardiac function recovery,optimize sleep status,and demonstrate clear long-term effects,indicating significant value for clinical promotion. 展开更多
关键词 Metabolic equivalent Exercise rehabilitation nursing Exercise-psychological-sleep nursing Elderly coronary heart disease with heart failure Mental health Cardiac rehabilitation
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An intelligent matching method for the equivalent circuit of electrochemical impedance spectroscopy based on Random Forest 认领 引用 被引量：1
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作者 Wenbo Chen Bingjun Yan +7 位作者 Aidong Xu Xin Mu Xiufang Zhou Maowei Jiang Changgang Wang Rui Li Jie Huang Junhua Dong 《Journal of Materials Science & Technology》 SCIE EI CAS CSCD 2025年第6期300-310,共11页
One of the core works of analyzing Electrochemical Impedance Spectroscopy(EIS)data is to select an appropriate equivalent circuit model to quantify the parameters of the electrochemical reaction process.However,this p... One of the core works of analyzing Electrochemical Impedance Spectroscopy(EIS)data is to select an appropriate equivalent circuit model to quantify the parameters of the electrochemical reaction process.However,this process often relies on human experience and judgment,which will introduce subjectivity and error.In this paper,an intelligent approach is proposed for matching EIS data to their equivalent circuits based on the Random Forest algorithm.It can automatically select the most suitable equivalent circuit model based on the characteristics and patterns of EIS data.Addressing the typical scenario of metal corrosion,an atmospheric corrosion EIS dataset of low-carbon steel is constructed in this paper,which includes five different corrosion scenarios.This dataset was used to validate and evaluate the pro-posed method in this paper.The contributions of this paper can be summarized in three aspects:(1)This paper proposes a method for selecting equivalent circuit models for EIS data based on the Random Forest algorithm.(2)Using authentic EIS data collected from metal atmospheric corrosion,the paper es-tablishes a dataset encompassing five categories of metal corrosion scenarios.(3)The superiority of the proposed method is validated through the utilization of the established authentic EIS dataset.The ex-periment results demonstrate that,in terms of equivalent circuit matching,this method surpasses other machine learning algorithms in both precision and robustness.Furthermore,it shows strong applicability in the analysis of EIS data. 展开更多
关键词 Electrochemical impedance spectroscopy Random forest Corrosion Equivalent circuit model
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