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Exponential Synchronization of Infinite-Dimensional Stochastic Systems With Poisson Jumps Under Aperiodically Intermittent Impulse Control 认领 引用
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作者 Lili Chen Yiqun Liu +1 位作者 Yanfeng Zhao Zhen Wang 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI CSCD 2026年第2期383-393,共11页
A novel aperiodically intermittent impulse control(AIIC)method is proposed to investigate the exponential synchronization in mean square(ESMS)of a class of impulsive stochastic infinite-dimensional systems with Poisso... A novel aperiodically intermittent impulse control(AIIC)method is proposed to investigate the exponential synchronization in mean square(ESMS)of a class of impulsive stochastic infinite-dimensional systems with Poisson jumps(ISIDSP).The AIIC control strategy inherits the flexibility of aperiodically intermittent control,including the variable control period,adjustable control interval length,and the discretization of impulsive control.In addition,this article introduces a novel mild Itô's formula.By leveraging semigroup theory,the contraction mapping principle,and graph theory,along with constructing the Lyapunov function,the criterion for the existence and uniqueness of a mild solution of ISIDSP is thereby established.Furthermore,the mean-square exponential synchronization problem of the above systems is resolved,and the constraints within the mild solution domain are alleviated.These criteria clarify the impact of control parameters,control intervals and network topology on ESMS.The theoretical results are subsequently applied to a class of neural networks with reaction-diffusion processes,and the validity of the results is verified using numerical simulations. 展开更多
关键词 Complex network exponential synchronization impulse control infinite dimensional system intermittent control
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Bridging machine learning and CosMo-SAC for accurate prediction of infinite dilute activity coefficients of binary mixtures 认领 引用 被引量：1
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作者 Yuxin Qiu Guzhong Chen +3 位作者 Qian Liu Zhiwen Qi Kake Zhu Zhen Song 《ENGINEERING Chemical Engineering》 SCIE EI CAS CSCD 2026年第1期55-65,共11页
Infinite dilution activity coefficient(γ∞)is a key thermodynamic parameter in solvent design for chemical processes.Although conductor-like screening model for segment activity coefficient(COSMO-SAC)exhibits stro... Infinite dilution activity coefficient(γ∞)is a key thermodynamic parameter in solvent design for chemical processes.Although conductor-like screening model for segment activity coefficient(COSMO-SAC)exhibits strong prior predictive capabilities,its estimations are sometimes only qualitative rather than quantitative.Another limitation of COSMO-SAC arises from the reliance on time-intensive quantum chemistry calculations,which restricts its scalability for large-scale solvent screening.To overcome these issues,this study integrates COSMO-SAC with machine learning for accurate γ∞ prediction of binary mixtures.By bypassing the necessity for quantum chemistry calculations,the multi-task machine learning model could rapidly predict the surface charge density distribution(o-profiles)and molecular cavity volume(Vcosmo)of molecules and ions,while accurately distinguishing isomers.Four adjustable parameters of COSMO-SAC are optimized using more than 20000 experimental data points of γ,and residual systematic errors are further corrected with the boosting ensemble strategy to improve the model performance.The resulting hybrid model reduces the mean absolute error from 0.944 to 0.102(R2=0.969),representing an 89%improvement,while preserving the physicochemical interpretability of model.This accurate and efficient approach broadens the practical applicability of o-profiles and Vcosmo prediction,as well as γ∞ calculations based on COSMO-SAC,facilitating the high-throughput solvent screening for diverse chemical engineering applications. 展开更多
关键词 infinite dilution activity coefficient COSMO-SAC machine learning solvent design multitask learning
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Multiuser Scheduling and Precoding in Cell-Free Massive MIMO Systems with Finite and Infinite Blocklengths 认领 引用
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作者 Fu Jiafei Zhu Pengcheng +2 位作者 Li Jiamin Jiang Yanxiang Wang Dongming 《China Communications》 SCIE EI CSCD 2026年第5期151-167,共17页
This paper centres on achieving the maximization of weighted throughput(WTP)in a multiuser cell-free massive multiple-input multiple-output(mMIMO)system with both finite blocklength(FBL)and infinite blocklength(INFBL)... This paper centres on achieving the maximization of weighted throughput(WTP)in a multiuser cell-free massive multiple-input multiple-output(mMIMO)system with both finite blocklength(FBL)and infinite blocklength(INFBL),which is conducted against the backdrop of constrained time-frequency resources.We aim to ensure quality of service(QoS)for all users,particularly in the FBL scenario,maintaining an acceptable latency and block error rate(BLER).To counteract the impact of reduced DoF of channel matrix due to a large number of users accessing the system,which leads to decreased system performance,we strive to optimize WTP by scheduling multiple users to different resource elements(REs)and applying precoding operations accordingly,subject to the limitations imposed by total power consumption per time slot and requisite QoS parameters.Simulation results demonstrate the superiority of the proposed multiuser processing(MUP)scheme over both single-user processing(SUP)and all-user processing(AUP)alternatives,and the proposed iterative algorithm based on genetic algorithm(GA)achieves up to 49.36%system performance gains compared to the benchmark algorithms.This substantiates the efficacy of our method in enhancing network performance and user satisfaction. 展开更多
关键词 cell-free(CF) finite blocklength(FBL) infinite blocklength(INFBL) massive multiple-input and multiple-output(mMIMO)
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The physical significance and applications of infinitely many symmetries of the potential modified Korteweg-de Vries equation 认领 引用
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作者 Qiao-Hong Han Man Jia 《Communications in Theoretical Physics》 SCIE CAS CSCD 2026年第6期28-38,共11页
The potential modified Korteweg-de Vries(pmKdV) equation possesses an infinite number of symmetries;however,the physical implications of these symmetries remain unexplored.Recent improvements have successfully elucida... The potential modified Korteweg-de Vries(pmKdV) equation possesses an infinite number of symmetries;however,the physical implications of these symmetries remain unexplored.Recent improvements have successfully elucidated that the physical significance of the infinite symmetries are related to wave number translation and wave center translation invariance.Following the ideas of these results,this paper aims to investigate the physical meanings associated with the infinite symmetries linked to the n-soliton solutions of the pmKdV equation.The findings indicate that the K-symmetries are related to the translational invariance of the wave center,while the τ-symmetry is associated with combined translational symmetries of both the wave center and wave number.Furthermore,these infinitely many symmetries are not entirely independent,only some of the special symmetries are autonomous.These results offer a novel method for deriving n-wave solutions of the pmKdV equation.Using this method,some special exact solutions of the pmKdV equation,such as the soliton,complexiton,breather and double-pole solutions,are presented. 展开更多
关键词 infinitely many symmetries wave number translation invariance wave center translation invariance linear combinations n-wave solutions
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Nonlocal Boundary Value Problems for Nonlinear Fractional Differential Equations with a Disturbance Parameter on the Infinite Interval 认领 引用
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作者 ZHENG Yanping YANG Hui WANG Wenxia 《应用数学》 北大核心 2026年第2期360-372,共13页
This paper is concerned with a class of nonlinear fractional differential equations with a disturbance parameter in the integral boundary conditions on the infinite interval.By using Guo-Krasnoselskii fixed point theo... This paper is concerned with a class of nonlinear fractional differential equations with a disturbance parameter in the integral boundary conditions on the infinite interval.By using Guo-Krasnoselskii fixed point theorem,fixed point index theory and the analytic technique,we give the bifurcation point of the parameter which divides the range of parameter for the existence of at least two,one and no positive solutions for the problem.And,by using a fixed point theorem of generalized concave operator and cone theory,we establish the maximum parameter interval for the existence of the unique positive solution for the problem and show that such a positive solution continuously depends on the parameter.In the end,some examples are given to illustrate our main results. 展开更多
关键词 Boundary value problem Disturbance parameter Infinite interval Bifurcation point Cone
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Calculation algorithm for the space charge force of a train with infinite bunches 认领 引用 被引量：1
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作者 San-Hai Ren Hong-Yu Li +5 位作者 Jia-Ru Shi Hao Zha Wei-Hang Gu Qiang Gao Qian Tan Huai-Bi Chen 《Nuclear Science and Techniques》 SCIE EI CAS CSCD 2025年第6期13-25,共13页
Industrial linear accelerators often contain many bunches when their pulse widths are extended to microseconds.As they typically operate at low electron energies and high currents,the interactions among bunches cannot... Industrial linear accelerators often contain many bunches when their pulse widths are extended to microseconds.As they typically operate at low electron energies and high currents,the interactions among bunches cannot be neglected.In this study,an algorithm is introduced for calculating the space charge force of a train with infinite bunches.By utilizing the ring charge model and the particle-in-cell(PIC)method and combining analytical and numerical methods,the proposed algorithm efficiently calculates the space charge force of infinite bunches,enabling the accurate design of accelerator parameters and a comprehensive understanding of the space charge force.This is a significant improvement on existing simulation software such as ASTRA and PARMELA that can only handle a single bunch or a small number of bunches.The PIC algorithm is validated in long drift space transport by comparing it with existing models,such as the infinite-bunch,ASTRA single-bunch,and PARMELA several-bunch algorithms.The space charge force calculation results for the external acceleration field are also verified.The reliability of the proposed algorithm provides a foundation for the design and optimization of industrial accelerators. 展开更多
关键词 Particle-in-cell method Space charge force Algorithm Infinite bunches
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Bound States in the Continuum of Infinite Quality Factor in Finite Unit Cells 认领 引用
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作者 Hua-Wei Liang Yuan-Zhi Liu +2 位作者 Yu-Jia Zeng Yang-Jian Cai Ting-Yin Ning 《Chinese Physics Letters》 SCIE EI CAS CSCD 2025年第8期38-53,共16页
A theory based on the superposition principle is developed to uncover the basic physics of wave behavior in a finite grating of N unit cells.The theory reveals that bound states in the continuum(BICs)of infinite quali... A theory based on the superposition principle is developed to uncover the basic physics of wave behavior in a finite grating of N unit cells.The theory reveals that bound states in the continuum(BICs)of infinite quality factor(Q-factor)can be supported by such a grating when perfect reflection is introduced at its boundaries.If geometrical perturbations are introduced into the structure,the dark BICs transform into bright quasi-BICs with finite Q-factor,maintaining spectral characteristics nearly identical to those of quasi-BICs supported by infinite gratings.When the boundaries are replaced with high-reflectivity metallic mirrors,the Q-factor of the resonant mode is reduced to be finite;however,it can be much larger than that in the corresponding nanostructure with open boundaries and can be tuned over a large range by varying the number of unit cells or boundary conditions. 展开更多
关键词 Superposition Principle wave behavior perfect reflection Finite Unit Cells geometrical perturbations dark bics Bound States Continuum Infinite Quality Factor
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ON THE MEASURE CONCENTRATION OF INFINITELY DIVISIBLE DISTRIBUTIONS 认领 引用 被引量：1
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作者 Jing ZHANG Zechun HU Wei SUN 《Acta Mathematica Scientia》 SCIE CSCD 2025年第2期473-492,共20页
Let I be the set of all infinitely divisible random variables with finite second moments,I0={X∈I;Var(X)>0},PI=infx∈IP{|X-E[X]|≤√Var(X)}and P_(I0)=inf P{|X-E[X]|0.Secondly,we find_(x∈I0)the exact... Let I be the set of all infinitely divisible random variables with finite second moments,I0={X∈I;Var(X)>0},PI=infx∈IP{|X-E[X]|≤√Var(X)}and P_(I0)=inf P{|X-E[X]|0.Secondly,we find_(x∈I0)the exact values of inf P{|X-E[X]|≤√Var(X)}and inf P{|X-E[X]|<√Var(X)}for the cases that J is the set of all geometric random variables,symmetric geometric random variables,Poisson random variables and symmetric Poisson random variables,respectively.As a consequence,we obtain that PI≤e-1∞∑k=01/22k(k!)2≈0.46576 and P_(I0)≤e-1≈0.36788. 展开更多
关键词 measure concentration infinitely divisible distribution geometric distribution Poisson distribution Berry-Esseen theorem
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Anti-Control of Hopf Bifurcation for a Chaotic System with Infinite Equilibria 认领 引用
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作者 HAN Qin 《Wuhan University Journal of Natural Sciences》 CAS CSCD 2025年第5期497-507,共11页
One method to change the bifurcation characteristics of chaotic systems is anti-control,which can either delay or advance bifur-cation and transform an unstable state into a stable one.The chaotic system with infinite... One method to change the bifurcation characteristics of chaotic systems is anti-control,which can either delay or advance bifur-cation and transform an unstable state into a stable one.The chaotic system with infinite equilibria exhibits complex bifurcation characteris-tics.The Hopf bifurcation and hidden attractors with symmetric coexistence of the system are analyzed.An improved dynamic state feed-back control method is adopted to reduce the tedious calculation process to prevent the Hopf bifurcation from being controlled.A hybrid controller that includes both nonlinear and linear controllers is set up for the system.With the method,the delay and stability of the Hopf bifurcation of the system are studied and the goal of anti-control is achieved.Numerical analysis verified the correctness. 展开更多
关键词 chaotic system infinite equilibria hidden attractors anti-control the Hopf bifurcation
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Countability of Infinite Paths in the Infinity Tree: Proof of the Continuum Hypothesis in a Non-Cantorian Infinity Theory 认领 引用
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作者 Philip C. Jackson 《Advances in Pure Mathematics》 2025年第1期73-90,共18页
A previous paper showed that the real numbers between 0 and 1 could be represented by an infinite tree structure, called the ‘infinity tree’, which contains only a countably infinite number of nodes and arcs. This p... A previous paper showed that the real numbers between 0 and 1 could be represented by an infinite tree structure, called the ‘infinity tree’, which contains only a countably infinite number of nodes and arcs. This paper discusses how a finite-state Turing machine could, in a countably infinite number of state transitions, write all the infinite paths in the infinity tree to a countably infinite tape. Hence it is argued that the real numbers in the interval [0, 1] are countably infinite in a non-Cantorian theory of infinity based on Turing machines using countably infinite space and time. In this theory, Cantor’s Continuum Hypothesis can also be proved. And in this theory, it follows that the power set of the natural numbers P(ℕ) is countably infinite, which contradicts the claim of Cantor’s Theorem for the natural numbers. However, this paper does not claim there is an error in Cantor’s arguments that [0, 1] is uncountably infinite. Rather, this paper considers the situation as a paradox, resulting from different choices about how to represent and count the continuum of real numbers. 展开更多
关键词 Infinity Countable Uncountable Diagonalization Real Numbers Infinity Tree Continuum Hypothesis Turing Machine Infinite Time Turing Machine Non-Cantorian
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A NOVEL ELLIPSOIDAL ACOUSTIC INFINITE ELEMENT 认领 引用
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作者 杨瑞梁 汪鸿振 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2005年第2期261-268,共8页
A novel ellipsoidal acoustic infinite element is proposed. It is based a new pressure representation, which can describe and solve the ellipsoidal acoustic field more exactly. The shape functions of this novel acousti... A novel ellipsoidal acoustic infinite element is proposed. It is based a new pressure representation, which can describe and solve the ellipsoidal acoustic field more exactly. The shape functions of this novel acoustic infinite element are similar to the (Burnett's) method, while the weight functions are defined as the product of the complex conjugates of the shaped functions and an additional weighting factor. The code of this method is cheap to generate as for 1-D element because only 1-D integral needs to be numerical. Coupling with the standard finite element, this method provides a capability for very efficiently modeling acoustic fields surrounding structures of virtually any practical shape. This novel method was deduced in brief and the conclusion was kept in detail. To test the feasibility of this novel method efficiently,in the examples the infinite elements were considered,excluding the finite elements relative. This novel ellipsoidal acoustic infinite element can deduce the analytic solution of an oscillating sphere. The example of a prolate spheroid shows that the novel infinite element is superior to the boundary element and other acoustic infinite elements. Analytical and numerical results of these examples show that this novel method is feasible. 展开更多
关键词 infinite element ellipsoidal acoustic infinite element shape function weight function ellipsoidal coordinate Burnett's method
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PLANE INFINITE ANALYTICAL ELEMENT AND HAMILTONIAN SYSTEM 认领 引用
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作者 孙雁 周钢 刘正兴 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2003年第5期568-575,共8页
It is not convenient to solve those engineering problems defined in an infinite field by using FEM. An infinite area can be divided into a regular infinite external area and a finite internal area. The finite internal... It is not convenient to solve those engineering problems defined in an infinite field by using FEM. An infinite area can be divided into a regular infinite external area and a finite internal area. The finite internal area was dealt with by the FEM and the regular infinite external area was settled in a polar coordinate. All governing equations were transformed into the Hamiltonian system. The methods of variable separation and eigenfunction expansion were used to derive the stiffness matrix of a new infinite analytical element.This new element, like a super finite element, can be combined with commonly used finite elements. The proposed method was verified by numerical case studies. The results show that the preparation work is very simple, the infinite analytical element has a high precision, and it can be used conveniently. The method can also be easily extended to a three-dimensional problem. 展开更多
关键词 infinite field infinite analytical element Hamiltonian system method of eigenfunction expansion FEM
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DISCRETE TIME STOCHASTIC EQUILIBRIUM WITH INFINITE HORIZON INCOMPLETE ASSET MARKETS 认领 引用
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作者 Zhang ShunmingSchoolofEconomicsandManagement,TsinghuaUniv.,Beijing100084.Dept.ofEconomics,Univ.ofWesternOntario,LondonON,CanadaN6A5C2 《Applied Mathematics(A Journal of Chinese Universities)》 2001年第2期203-218,共16页
This paper examines the existence of general equilibrium in a discrete time economy with the infinite horizon incomplete markets.There is a single good at each node in the event tree.The existence of general equilibri... This paper examines the existence of general equilibrium in a discrete time economy with the infinite horizon incomplete markets.There is a single good at each node in the event tree.The existence of general equilibrium for the infinite horizon economy is proved by taking limit of equilibria in truncated economies in which trade stops at a sequence of dates. 展开更多
关键词 General equilibrium infinite horizon incomplete asset markets infinite horizon economy truncated economy associated stochastic economy purely exchange economy.
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Infinite Sequence of Conservation Laws and Analytic Solutions for a Generalized Variable-Coefficient Fifth-Order Korteweg-de Vries Equation in Fluids 认领 引用 被引量：6
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作者 于鑫 高以天 +1 位作者 孙志远 刘颖 《Communications in Theoretical Physics》 SCIE CAS CSCD 2011年第4期629-634,共6页
In this paper, an infinite sequence of conservation laws for a generalized variable-coefficient fifth-order Korteweg-de Vries equation in fluids are constructed based on the Backlund transformation. Hirota bilinear fo... In this paper, an infinite sequence of conservation laws for a generalized variable-coefficient fifth-order Korteweg-de Vries equation in fluids are constructed based on the Backlund transformation. Hirota bilinear form and symbolic computation are applied to obtain three kinds of solutions. Variable coefficients can affect the conserved density, associated flux, and appearance of the characteristic lines. Effects of the wave number on the soliton structures are also discussed and types of soliton structures, e.g., the double-periodic soliton, parallel soliton and soliton complexes, are presented. 展开更多
关键词 variable-coefficient fifth-order Korteweg-de Vries equation in fluids infinite sequence of conservation laws Hirota bilinear method soliton solutions wave number symbolic computation
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Mixed-solvothermal Synthesis, Crystal Structure and Luminescence of a New Dinuclear Yttrium(Ⅲ) Coordination Polymer with 1-D Wave-like Infinite Chains 认领 引用 被引量：6
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作者 冯玉全 姜兰婷 +1 位作者 邢正正 王璐 《Chinese Journal of Structural Chemistry》 SCIE CAS CSCD 2018年第5期825-831,共7页
A new dinuclear Y（3＋） coordination polymer{[Y2（H2O）2（C（14）H8O4）3（C（12）H8N2）2]·3 H2O}n （1, C（14）H8 O4 = 2,2＇-biphenyldicarboxylate, phen = 1,10-phenanthroline）, has been obtained by means of a mi... A new dinuclear Y（3＋） coordination polymer{[Y2（H2O）2（C（14）H8O4）3（C（12）H8N2）2]·3 H2O}n （1, C（14）H8 O4 = 2,2＇-biphenyldicarboxylate, phen = 1,10-phenanthroline）, has been obtained by means of a mixed-solvothermal method using ethylene glycol and water as solvent. The compound was characterized by elemental analysis, energy-dispersive X-ray spectroscopy（EDS）, IR spectrum and single-crystal X-ray diffraction. The results reveal that 1 belongs to monoclinic system, space group C2/c with a = 24.249（3）, b = 12.069（48）, c = 22.7304（08） A, β = 113.480（7）°, Z = 4, V = 6102（2） A3, Dc = 1.462 g·cm^-3, F（000） = 2728, μ = 1.968 mm（-1）, the final R = 0.0673, w R = 0.1508 and S = 1.085. Its structure can be regarded as a 1-D coordination polymer constructed by Y^3＋ cations, 2,2A-biphenyldicarboxylate, 1,10-phenanthroline and water molecules. The compound not only contains two kinds of organic ligands, but also exhibits interesting wave-like infinite chains and 18-MR windows with the diameter of 4.070（7）A × 5.326（9）A. The structure is further stabilized by means of O–H…O hydrogen bonds and π-π stacking interactions. Furthermore, the luminescent properties（including emission spectrum, CIE chromaticity coordinate and decay curve） of 1 were also investigated in the solid-state at room temperature. 展开更多
关键词 mixed-solvothermal synthesis dinuclear Y^3＋ coordination polymer wave-like infinite chains luminescent properties
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Completeness of Eigenfunction Systems for Off-Diagonal Infinite-Dimensional Hamiltonian Operators 认领 引用 被引量：17
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作者 侯国林 阿拉坦仓 《Communications in Theoretical Physics》 SCIE CAS 2010年第2期237-241,共5页
For the off-diagonal infinite dimensional Hamiltonian operators, which have at most countable eigenvalues, a necessary and sufficient condition of the eigenfunction systems to be complete in the sense of Cauchy princi... For the off-diagonal infinite dimensional Hamiltonian operators, which have at most countable eigenvalues, a necessary and sufficient condition of the eigenfunction systems to be complete in the sense of Cauchy principal value is presented by using the spectral symmetry and new orthogonal relationship of the operators. Moreover, the above result is extended to a more general case. At last, the completeness of eigenfunction systems for the operators arising from the isotropic plane magnetoelectroelastic solids is described to illustrate the effectiveness of the criterion. The whole results offer theoretical guarantee for separation of variables in Hamiltonian system for some mechanics equations. 展开更多
关键词 Hamiltonian system infinite dimensional Hamiltonian operator completeness Cauchy principalvalue magnetoelectroelastic solid
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A closed-form solution for a double infinite Euler-Bernoulli beam on a viscoelastic foundation subjected to harmonic line load 认领 引用 被引量：4
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作者 Li Bing Cheng Yongfeng +1 位作者 Zhu Zhaoqing Zhang Fuyou 《Earthquake Engineering and Engineering Vibration》 SCIE EI CSCD 2019年第1期129-140,共12页
The dynamic response of a double infinite beam system connected by a viscoelastic foundation under the harmonic line load is studied. The double infinite beam system consists of two identical and parallel beams, and t... The dynamic response of a double infinite beam system connected by a viscoelastic foundation under the harmonic line load is studied. The double infinite beam system consists of two identical and parallel beams, and the two beams are infinite elastic homogeneous and isotropic. A viscoelastic layer connects the two beams continuously. To decouple the two coupled equations governing the response of the double infinite beam system, a variable substitution method is introduced. The frequency domain solutions of the decoupled equations are obtained by using Fourier transforms as well as Laplace transforms successively. The time domain solution in the generalized integral form are then obtained by employing the corresponding inverse transforms, i.e. Fourier transform and inverse Laplace transform. The solution is verified by numerical examples, and the effects of parameters on the response are also investigated. 展开更多
关键词 infinite two double beam transforms
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Computing of the Anchor by the Method of Three-Dimension Point-Radiate Infinite Elements 认领 引用 被引量：15
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作者 王艳芬 王元汉 谢洪阳 《Journal of China University of Geosciences》 2007年第2期185-190,共6页
On the basis of the one-dimension infinite element theory, the coordinate translation and shape function of 3D point-radiate 8-node and 4-node infinite elements are derived. They are coupled with 20-node and 8-node fi... On the basis of the one-dimension infinite element theory, the coordinate translation and shape function of 3D point-radiate 8-node and 4-node infinite elements are derived. They are coupled with 20-node and 8-node finite elements to compute the compression distortion of the prestressed anchorage segment. The results indicate that when the prestressed force acts on the anchorage head and segment, the stresses and the displacements in the rock around the anchorage head and segment concentrate on the zone center with the anchor axis, and they decrease with exponential forms. Therefore,the stresses and the displacement spindles are formed. The calculating results of the infinite element are close to the theoretical results. This indicates the method is right. This article introduces a new way to study the mechanism of prestressed anchors. The obtained results have an important role in the research of the anchor mechanism and engineering application. 展开更多
关键词 infinite element prestressed anchor couple finite element
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Vehicle–track–tunnel dynamic interaction:a finite/infinite element modelling method 认领 引用 被引量：10
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作者 Lei Xu Wanming Zhai 《Railway Engineering Science》 EI 2021年第2期109-126,共18页
The aim of this study is to develop coupled matrix formulations to characterize the dynamic interaction between the vehicle,track,and tunnel.The vehicle–track coupled system is established in light of vehicle–track ... The aim of this study is to develop coupled matrix formulations to characterize the dynamic interaction between the vehicle,track,and tunnel.The vehicle–track coupled system is established in light of vehicle–track coupled dynamics theory.The physical characteristics and mechanical behavior of tunnel segments and rings are modeled by the finite element method,while the soil layers of the vehicle–track–tunnel(VTT)system are modeled as an assemblage of 3-D mapping infinite elements by satisfying the boundary conditions at the infinite area.With novelty,the tunnel components,such as rings and segments,have been coupled to the vehicle–track systems using a matrix coupling method for finite elements.The responses of sub-systems included in the VTT interaction are obtained simultaneously to guarantee the solution accuracy.To relieve the computer storage and save the CPU time for the large-scale VTT dynamics system with high degrees of freedoms,a cyclic calculation method is introduced.Apart from model validations,the necessity of considering the tunnel substructures such as rings and segments is demonstrated.In addition,the maximum number of elements in the tunnel segment is confirmed by numerical simulations. 展开更多
关键词 Vehicle-track-tunnel interaction Railway tunnel Finite elements Infinite elements Dynamic modelling
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DOUBLE WAVE DESCRIPTION OF SINGLE PARTICLE IN AN INFINITELY DEEP SQUARE POTENTIAL WELL 认领 引用 被引量：3
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作者 HUANG Xiangyou QIAN Shangwu +1 位作者 LIU Quanhui HE Zuoxiu 《Chinese Physics Letters》 SCIE CAS 1990年第4期152-155,共4页
Recently we have suggested that the state of a single particle should be jointly defined by two wave functions.In this letter we use this suggestion to discuss the motion of a single particle in an infinitely deep squ... Recently we have suggested that the state of a single particle should be jointly defined by two wave functions.In this letter we use this suggestion to discuss the motion of a single particle in an infinitely deep square potential well;the results obiained in the classical limit correctly describe the motion of the single particle with clarity. 展开更多
关键词 functions infinitely particle
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