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Euler’s First-Order Explicit Method–Peridynamic Differential Operator for Solving Population Balance Equations of the Crystallization Process 认领 引用 被引量：1
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作者 Chunlei Ruan Cengceng Dong +2 位作者 Kunfeng Liang Zhijun Liu Xinru Bao 《Computer Modeling in Engineering & Sciences》 SCIE EI 2024年第3期3033-3049,共17页
Using Euler’s first-order explicit(EE)method and the peridynamic differential operator(PDDO)to discretize the time and internal crystal-size derivatives,respectively,the Euler’s first-order explicit method–peridyna... Using Euler’s first-order explicit(EE)method and the peridynamic differential operator(PDDO)to discretize the time and internal crystal-size derivatives,respectively,the Euler’s first-order explicit method–peridynamic differential operator(EE–PDDO)was obtained for solving the one-dimensional population balance equation in crystallization.Four different conditions during crystallization were studied:size-independent growth,sizedependent growth in a batch process,nucleation and size-independent growth,and nucleation and size-dependent growth in a continuous process.The high accuracy of the EE–PDDO method was confirmed by comparing it with the numerical results obtained using the second-order upwind and HR-van methods.The method is characterized by non-oscillation and high accuracy,especially in the discontinuous and sharp crystal size distribution.The stability of the EE–PDDO method,choice of weight function in the PDDO method,and optimal time step are also discussed. 展开更多
关键词 Population balance equation crystallization peridynamic differential operator Euler’s first-order explicit method
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An explicit method for numerical simulation of wave equations 认领 引用 被引量：3
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作者 Liu Heng Liao Zhenpeng 《Earthquake Engineering and Engineering Vibration》 SCIE EI 2009年第1期17-28,共12页
In this paper, a method to develop a hierarchy of explicit recursion formulas for numerical simulation in an irregular grid for scalar wave equations is presented and its accuracy is illustrated via 2-D and 1-D models... In this paper, a method to develop a hierarchy of explicit recursion formulas for numerical simulation in an irregular grid for scalar wave equations is presented and its accuracy is illustrated via 2-D and 1-D models. Approaches to develop the stable formulas which are of 2M-order accuracy in both time and space with Mbeing a positive integer for regular grids are discussed and illustrated by constructing the second order （M= 1） and the fourth order （M = 2） recursion formulas. 展开更多
关键词 wave equation numerical simulation explicit recursion formula finite element method
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An explicit method for numerical simulation of wave equations: 3D wave motion 认领 引用 被引量：1
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作者 Liu Heng Liao Zhenpeng 《Earthquake Engineering and Engineering Vibration》 SCIE EI CSCD 2011年第1期13-20,共8页
In this paper, an explicit method is generalized from 1D and 2D models to a 3D model for numerical simulation of wave motion, and the corresponding recursion formulas are developed for 3D irregular grids. For uniform ... In this paper, an explicit method is generalized from 1D and 2D models to a 3D model for numerical simulation of wave motion, and the corresponding recursion formulas are developed for 3D irregular grids. For uniform cubic grids, the approach used to establish stable formulas with 2M-order accuracy is discussed in detail, with M being a positive integer, and is illustrated by establishing second order （M=1） recursion formulas. The theoretical results presented in this paper are demonstrated through numerical testing. 展开更多
关键词 3D wave equation numerical simulation explicit recursion formula finite element method
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An Explicit Method for the Coupled Forward Backward Stochastic Differential Equations 认领 引用
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作者 Xiao Tang Jie Xiong 《Advances in Applied Mathematics and Mechanics》 SCIE CSCD 2025年第6期1682-1714,共33页
This paper proposes an explicit method for the coupled forward backward stochastic differential equations(FBSDEs).Our method combines skillfully a weak second order stochastic Runge-Kutta method for solving forward eq... This paper proposes an explicit method for the coupled forward backward stochastic differential equations(FBSDEs).Our method combines skillfully a weak second order stochastic Runge-Kutta method for solving forward equations with a two-step method for solving backward equations.We give a convergence theorem for the proposed method when the FBSDEs is weakly coupled(the forward equations are independent of the variable Z).Finally,some numerical results are presented,and the numerical results show that our method still works well even if the forward equations depend on Z. 展开更多
关键词 Forward backward stochastic differential equations explicit method convergence
An explicit finite volume element method for solving characteristic level set equation on triangular grids 认领 引用 被引量：1
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作者 Sutthisak Phongthanapanich Pramote Dechaumphai 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2011年第6期911-921,共11页
Level set methods are widely used for predicting evolutions of complex free surface topologies,such as the crystal and crack growth,bubbles and droplets deformation,spilling and breaking waves,and two-phase flow pheno... Level set methods are widely used for predicting evolutions of complex free surface topologies,such as the crystal and crack growth,bubbles and droplets deformation,spilling and breaking waves,and two-phase flow phenomena.This paper presents a characteristic level set equation which is derived from the two-dimensional level set equation by using the characteristic-based scheme.An explicit finite volume element method is developed to discretize the equation on triangular grids.Several examples are presented to demonstrate the performance of the proposed method for calculating interface evolutions in time.The proposed level set method is also coupled with the Navier-Stokes equations for two-phase immiscible incompressible flow analysis with surface tension.The Rayleigh-Taylor instability problem is used to test and evaluate the effectiveness of the proposed scheme. 展开更多
关键词 Keywords Characteristic level set equation - Finite volume element method Explicit method Triangular grid Twophase incompressible flow
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A fast explicit finite difference method for determination of wellhead injection pressure 认领 引用 被引量：6
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作者 白冰 李小春 +2 位作者 刘明泽 石露 李琦 《Journal of Central South University》 SCIE EI CAS 2012年第11期3266-3272,共7页
A fast explicit finite difference method (FEFDM),derived from the differential equations of one-dimensional steady pipe flow,was presented for calculation of wellhead injection pressure.Recalculation with a traditiona... A fast explicit finite difference method (FEFDM),derived from the differential equations of one-dimensional steady pipe flow,was presented for calculation of wellhead injection pressure.Recalculation with a traditional numerical method of the same equations corroborates well the reliability and rate of FEFDM.Moreover,a flow rate estimate method was developed for the project whose injection rate has not been clearly determined.A wellhead pressure regime determined by this method was successfully applied to the trial injection operations in Shihezi formation of Shenhua CCS Project,which is a good practice verification of FEFDM.At last,this method was used to evaluate the effect of friction and acceleration terms on the flow equation on the wellhead pressure.The result shows that for deep wellbore,the friction term can be omitted when flow rate is low and in a wide range of velocity the acceleration term can always be deleted.It is also shown that with flow rate increasing,the friction term can no longer be neglected. 展开更多
关键词 wellhead pressure injection pressure bottom-hole pressure fast explicit finite difference method
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Convergence and Stability of an Explicit Method for Autonomous Time-Changed Stochastic Differential Equations with Super-Linear Coefficients 认领 引用
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作者 Xiaotong Li Juan Liao +1 位作者 Wei Liu Zhuo Xing 《Advances in Applied Mathematics and Mechanics》 SCIE 2023年第3期651-683,共33页
In this paper,numerical methods for the time-changed stochastic differential equations of the form dY(t)=a(Y(t))dt+b(Y(t))dE(t)+s(Y(t))dB(E(t))are investigated,where all the coefficients a(·),b(·)and s(·... In this paper,numerical methods for the time-changed stochastic differential equations of the form dY(t)=a(Y(t))dt+b(Y(t))dE(t)+s(Y(t))dB(E(t))are investigated,where all the coefficients a(·),b(·)and s(·)are allowed to contain some super-linearly growing terms.An explicit method is proposed by using the idea of truncating terms that grow too fast.Strong convergence in the finite time of the proposed method is proved and the convergence rate is obtained.The proposed method is also proved to be able to reproduce the asymptotic stability of the underlying equation in the almost sure sense.Simulations are provided to demonstrate the theoretical results. 展开更多
关键词 Time-changed stochastic differential equations explicit method super-linear coefficients strong convergence asymptotic stability
An explicit finite element method for dynamic analysis in three-medium coupling system and its application 认领 引用
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作者 赵成刚 李伟华 +1 位作者 王进廷 李亮 《Acta Seismologica Sinica(English Edition)》 2003年第3期272-282,共11页
In this paper, an explicit finite element method to analyze the dynamic responses of three-medium coupled systems with any terrain is developed on the basis of the numerical simulation of the continuous conditions on ... In this paper, an explicit finite element method to analyze the dynamic responses of three-medium coupled systems with any terrain is developed on the basis of the numerical simulation of the continuous conditions on the bounda-ries among fluid saturated porous medium, elastic single-phase medium and ideal fluid medium. This method is a very effective one with the characteristic of high calculating speed and small memory needed because the formulae for this explicit finite element method have the characteristic of decoupling, and which does not need to solve sys-tem of linear equations. The method is applied to analyze the dynamic response of a reservoir with considering the dynamic interactions among water, dam, sediment and basement rock. The vertical displacement at the top point of the dam is calculated and some conclusions are given. 展开更多
关键词 fluid saturated porous medium-elastic single-phase medium-ideal fluid medium coupled system dynamic response analysis explicit finite element method
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Explicit concomitance of implicit method to solve vibration equation 认领 引用
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作者 Li, Changqing Jiang, Lizhong 《Earthquake Engineering and Engineering Vibration》 SCIE EI CSCD 2012年第2期269-272,共4页
It has been proven that the implicit method used to solve the vibration equation can be transformed into an explicit method,which is called the concomitant explicit method.The constant acceleration method's concom... It has been proven that the implicit method used to solve the vibration equation can be transformed into an explicit method,which is called the concomitant explicit method.The constant acceleration method's concomitant explicit method was used as an example and is described in detail in this paper.The relationship between the implicit method and explicit method is defined,which provides some guidance about how to create a new explicit method that has high precision and computational efficiency. 展开更多
关键词 dynamic analysis explicit method implicit method structural dynamics
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Explicit K-symplectic methods for nonseparable non-canonical Hamiltonian systems 认领 引用 被引量：1
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作者 朱贝贝 纪伦 +1 位作者 祝爱卿 唐贻发 《Chinese Physics B》 SCIE EI CAS CSCD 2023年第2期60-79,共20页
We propose efficient numerical methods for nonseparable non-canonical Hamiltonian systems which are explicit,K-symplectic in the extended phase space with long time energy conservation properties. They are based on ex... We propose efficient numerical methods for nonseparable non-canonical Hamiltonian systems which are explicit,K-symplectic in the extended phase space with long time energy conservation properties. They are based on extending the original phase space to several copies of the phase space and imposing a mechanical restraint on the copies of the phase space. Explicit K-symplectic methods are constructed for two non-canonical Hamiltonian systems. Numerical tests show that the proposed methods exhibit good numerical performance in preserving the phase orbit and the energy of the system over long time, whereas higher order Runge–Kutta methods do not preserve these properties. Numerical tests also show that the K-symplectic methods exhibit better efficiency than that of the same order implicit symplectic, explicit and implicit symplectic methods for the original nonseparable non-canonical systems. On the other hand, the fourth order K-symplectic method is more efficient than the fourth order Yoshida’s method, the optimized partitioned Runge–Kutta and Runge–Kutta–Nystr ¨om explicit K-symplectic methods for the extended phase space Hamiltonians, but less efficient than the the optimized partitioned Runge–Kutta and Runge–Kutta–Nystr ¨om extended phase space symplectic-like methods with the midpoint permutation. 展开更多
关键词 non-canonical Hamiltonian systems nonseparable explicit K-symplectic methods splitting method
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OPTIMIZATION OF AUTOBODY PANEL STAMPING PROCESS BASED ON DYNAMIC EXPLICIT FINITE ELEMENT METHOD 认领 引用 被引量：6
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作者 X. G. Bao D. N. He +2 位作者 D. Lu C. X. Li J. L. Cheng and J. Y. Jiang National Mold and Dies CAD Engineering Research Center, Shanghai 200030, China 2) Shanghai Volkswagen Automotive Company Ltd., Shanghai 201805, China) 《Acta Metallurgica Sinica(English Letters)》 EI CAS 2000年第1期387-393,共7页
Taking CPU time cost and analysis accuracy into account, dynamic explicit finite ele- ment method is adopted to optimize the forming process of autobody panels that often have large sizes and complex geometry. In this... Taking CPU time cost and analysis accuracy into account, dynamic explicit finite ele- ment method is adopted to optimize the forming process of autobody panels that often have large sizes and complex geometry. In this paper, for the sake of illustrating in detail how dynamic explicit finite element method is applied to the numerical simulation of the autobody panel forming process,an example of optimization of stamping process pain meters of an inner door panel is presented. Using dynamic explicit finite element code Ls-DYNA3D, the inner door panel has been optimized by adapting pa- rameters such as the initial blank geometry and position, blank-holder forces and the location of drawbeads, and satisfied results are obtained. 展开更多
关键词 dynamic explicit finite element method autobody panel optimization stamping process
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Verification of an Explicitly Coupled Thermal-Phase Field-Mechanical Electromagnetic (TPME) Framework by the Method of Manufactured Solutions 认领 引用
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作者 Travis S. Ramsay 《Open Journal of Modelling and Simulation》 2021年第1期1-25,共25页
An explicitly coupled two-dimensional (2D) multiphysics finite element method (FEM) framework comprised of thermal, phase field, mechanical and electromagnetic (TPME) equations was developed to simulate the conversion... An explicitly coupled two-dimensional (2D) multiphysics finite element method (FEM) framework comprised of thermal, phase field, mechanical and electromagnetic (TPME) equations was developed to simulate the conversion of solid kerogen in oil shale to liquid oil through in-situ pyrolysis by radio frequency heating. Radio frequency heating as a method of in-situ pyrolysis represents a tenable enhanced oil recovery method, whereby an applied electrical potential difference across a target oil shale formation is converted to thermal energy, heating the oil shale and causing it to liquify to become liquid oil. A number of in-situ pyrolysis methods are reviewed but the focus of this work is on the verification of the TPME numerical framework to model radio frequency heating as a potential dielectric heating process for enhanced oil recovery. Very few studies exist which describe production from oil shale;furthermore, there are none that specifically address the verification of numerical models describing radio frequency heating. As a result, the Method of Manufactured Solutions (MMS) was used as an analytical verification method of the developed numerical code. Results show that the multiphysics finite element framework was adequately modeled enabling the simulation of kerogen conversion to oil as a part of the analysis of a TPME numerical model. 展开更多
关键词 Radio Frequency Heating In-Situ Pyrolysis Oil Shale Multiphysics Explicit Coupling Finite Element Method Method of Manufactured Solutions
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Investigation on the rolling contact fatigue cracks initiation of subway fixed frogs based on transient dynamics 认领 引用
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作者 Zhaoguang Zheng Zhiguo Dong +3 位作者 Jiayi Hu Jingmang Xu Kai Wang Ping Wang 《Railway Engineering Science》 EI 2026年第2期275-293,共19页
The issue of fatigue damage to rails has become increasingly prominent with the rise in subway traffic and speed.The hazardous space of the turnout frog significantly intensifies the dynamic interaction between the ve... The issue of fatigue damage to rails has become increasingly prominent with the rise in subway traffic and speed.The hazardous space of the turnout frog significantly intensifies the dynamic interaction between the vehicle and the frog rail,leading to more pronounced fatigue damage in the turnout rail.This paper focuses on the No.9 turnout fixed frog commonly used in subway lines.A three-dimensional explicit transient rolling contact finite element model of the fixed frog is established.The dynamic response of wheel-rail rolling contact is analyzed under various speeds and vertical stiffness conditions.Rolling contact fatigue crack locations,angles,and initiation life were investigated.The research indicates that the 30 mm top width cross-section of the nose rail is most susceptible to fatigue cracks,which initiate on the rail surface.The angle between the crack initiation surface and the lateral direction is between 70°and 95°.Higher speeds result in shorter fatigue life,while the vertical stiffness of the fastener has less of an effect.The simulation results align with findings from field surveys.The established model and research conclusions can provide theoretical support for optimizing fixed frog structures and predicting fatigue life. 展开更多
关键词 Fixed frog Rolling contact fatigue Crack initiation Explicit finite element method Vehicle speed Fastener stiffness
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Solving Load Flow Problems of Power System by Explicit Pseudo-Transient Continuation (E-ψtc) Method 认领 引用
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作者 Tianmin Han Yuhuan Han 《Energy and Power Engineering》 2016年第2期99-115,共17页
This paper is a further study of two papers [1] and [2], which were related to Ill-Conditioned Load Flow Problems and were published by IEEE Trans. PAS. The authors of this paper have some different opinions, for exam... This paper is a further study of two papers [1] and [2], which were related to Ill-Conditioned Load Flow Problems and were published by IEEE Trans. PAS. The authors of this paper have some different opinions, for example, the 11-bus system is not an ill-conditioned system. In addition, a new approach to solve Load Flow Problems, E-&psi;tc, is introduced. It is an explicit method;solving linear equations is not needed. It can handle very tough and very large systems. The advantage of this method has been fully proved by two examples. The authors give this new method a detailed description of how to use it to solve Load Flow Problems and successfully apply it to the 43-bus and the 11-bus systems. The authors also propose a strategy to test the reliability, and by solving gradient equations, this new method can answer if the solution exists or not. 展开更多
关键词 Load Flow Problems of Power System Ill-Conditioned System Normal Newton Method Optimal Multiplier Method Brown Method Explicit Pseudo-Transient Continuation (E-ψtc) 11-Bus and 43-Bus Systems Reliability Gradient Equation
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基于显式动力学的双封隔器管柱下入仿真建模与影响因素分析 认领 引用
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作者 孙巧雷 王博 +3 位作者 王巍 吴江 崔西龙 夏乐 《石油钻采工艺》 CAS 北大核心 2026年第3期304-312,共9页
为了研究多封隔器管柱下入水平井弯曲段的力学特性,构建了双封隔器管柱下入弯曲段的平面几何模型和显式动力学仿真模型。首先,基于梁弯曲理论,推导了封隔器管柱的挠曲线方程、弯曲变形能公式,确定了管柱与套管内壁的临界接触判断条件及... 为了研究多封隔器管柱下入水平井弯曲段的力学特性,构建了双封隔器管柱下入弯曲段的平面几何模型和显式动力学仿真模型。首先,基于梁弯曲理论,推导了封隔器管柱的挠曲线方程、弯曲变形能公式,确定了管柱与套管内壁的临界接触判断条件及临界屈曲载荷计算公式,并引入三轴应力体系进行静力学评估。其次,通过显式动力学方法,模拟了不同套管曲率半径、套管壁厚、封隔器间距条件下,双封隔器管柱下入过程的动态强度变化规律。研究结果表明:(1)静力学分析显示,常规工况下管柱的三轴应力强度满足使用要求,临界屈曲载荷随着封隔器间距的增大而逐渐加速减小;(2)动力学分析表明,封隔器管柱与套管接触后应力急剧增大,下入速度10 m/s时的最大等效应力达655.4 MPa,主要集中在油管下端及油管与胶筒接触区域;(3)下入速度5 m/s时,较小间距双封隔器管柱在弯曲段与套管接触形式变化较大,8~50 m间距期间,最大等效应力随着下入深度的增加逐步增大,整体上随着间距的增大先增大后有所减小,但最大应力趋于稳定的时间缩短;在下入初期,封隔器管柱的初始最大等效应力随曲率半径减小而增大,最大等效应力在井斜30°左右均迅速增长,曲率半径200 m、300 m时,最大等效应力分别达到680.4 MPa、702.3 MPa;套管局部壁厚变化时,整体壁厚越大,最大等效应力越大,且波动幅度随着油套间隙减小而增大。研究结果为双封隔器管柱下入弯曲段的可行性分析提供了一定的依据,并为双封隔器管柱下入动态模拟的深入开展奠定了理论基础。 展开更多
关键词 双封隔器 完井管柱 弯曲段 显式动力学 等效应力
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A family of explicit algorithms for general pseudodynamic testing 认领 引用 被引量：7
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作者 Shuenn-Yih Chang Yuan—Sen Yang Chi-Wei Hsu 《Earthquake Engineering and Engineering Vibration》 SCIE EI CSCD 2011年第1期51-64,共14页
A new family of explicit pseudodynamic algorithms is proposed for general pseudodynamic testing.One particular subfamily seems very promising for use in general pseudodynamic testing since the stability problem for a ... A new family of explicit pseudodynamic algorithms is proposed for general pseudodynamic testing.One particular subfamily seems very promising for use in general pseudodynamic testing since the stability problem for a structure does not need to be considered.This is because this subfamily is unconditionally stable for any instantaneous stiffness softening system,linear elastic system and instantaneous stiffness hardening system that might occur in the pseudodynamic testing of a real structure.In addition,it also offers good accuracy when compared to a general second-order accurate method for both linear elastic and nonlinear systems. 展开更多
关键词 pseudodynamic test explicit method unconditional stability dominant mode structural dynamics instantaneous degree of nonlinearity
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弹塑性动力显式虚单元法及其在塑性成形工艺仿真中的应用 认领 引用
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作者 杨亦扬 詹梅 +3 位作者 翟卓蕾 董赟达 曹恒 樊晓光 《塑性工程学报》 CAS CSCD 北大核心 2026年第7期187-193,共7页
针对塑性成形工艺中几何与材料非线性显著的大变形弹塑性问题,建立了适用于三维有限变形的一阶虚单元显式计算格式。基于虚单元投影算子与稳定项的基本理论,推导了弹塑性大变形条件下的一阶虚单元显式时间积分格式,建立了包含质量矩阵... 针对塑性成形工艺中几何与材料非线性显著的大变形弹塑性问题,建立了适用于三维有限变形的一阶虚单元显式计算格式。基于虚单元投影算子与稳定项的基本理论,推导了弹塑性大变形条件下的一阶虚单元显式时间积分格式,建立了包含质量矩阵组装、内力矢量计算及稳定性时间步长估计的完整显式计算流程,其中稳定性条件考虑了多面体单元几何特征对临界时间步的影响。通过悬臂梁大变形、金属挤压成形等典型弹塑性数值算例对所提方法进行了系统验证。结果表明,所建立的显式虚单元格式在严重畸变网格及局部加密网格条件下均能够保持稳定计算,能够有效处理有限变形弹塑性问题中的大畸变与网格拓扑变化需求,其位移与应力计算结果与参考解吻合良好。该显式计算格式将虚单元法的应用拓展至弹塑性大变形显式动力学框架,为塑性成形工艺中的弹塑性大变形仿真提供了一种对网格质量敏感度低且适用于任意多面体单元的数值方法。 展开更多
关键词 塑性成形 有限元法 虚单元法 显式动力学 单元稳定
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Optimized Runge-Kutta Methods with Automatic Step Size Control for Compressible Computational Fluid Dynamics 认领 引用 被引量：2
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作者 Hendrik Ranocha Lisandro Dalcin +1 位作者 Matteo Parsani David I.Ketcheson 《Communications on Applied Mathematics and Computation》 2022年第4期1191-1228,共38页
We develop error-control based time integration algorithms for compressible fluid dynam-ics(CFD)applications and show that they are efficient and robust in both the accuracy-limited and stability-limited regime.Focusi... We develop error-control based time integration algorithms for compressible fluid dynam-ics(CFD)applications and show that they are efficient and robust in both the accuracy-limited and stability-limited regime.Focusing on discontinuous spectral element semidis-cretizations,we design new controllers for existing methods and for some new embedded Runge-Kutta pairs.We demonstrate the importance of choosing adequate controller parameters and provide a means to obtain these in practice.We compare a wide range of error-control-based methods,along with the common approach in which step size con-trol is based on the Courant-Friedrichs-Lewy(CFL)number.The optimized methods give improved performance and naturally adopt a step size close to the maximum stable CFL number at loose tolerances,while additionally providing control of the temporal error at tighter tolerances.The numerical examples include challenging industrial CFD applications. 展开更多
关键词 Explicit Runge-Kutta methods Step size control Compressible Euler equations Compressible Navier-Stokes equations hp-adaptive spatial discretizations
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基于接触斑内瞬态滚动接触解的钢轨滚动接触疲劳萌生模型研究 认领 引用
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作者 胡彬 赵鑫 +3 位作者 张昕 罗易飞 鲁连涛 温泽峰 《机械工程学报》 EI CAS CSCD 北大核心 2026年第2期354-366,共13页
小半径曲线钢轨易发生严重滚动接触疲劳,其萌生机理和疲劳寿命与轮轨接触斑内蠕滑行为直接相关。参照广泛应用的轮轨滚动接触疲劳传统损伤函数模型,以基于显式有限元法的三维轮轨瞬态滚动接触模型为核心分析手段,考虑自旋蠕滑影响,模拟... 小半径曲线钢轨易发生严重滚动接触疲劳,其萌生机理和疲劳寿命与轮轨接触斑内蠕滑行为直接相关。参照广泛应用的轮轨滚动接触疲劳传统损伤函数模型,以基于显式有限元法的三维轮轨瞬态滚动接触模型为核心分析手段,考虑自旋蠕滑影响,模拟得到随时变化的宏观、斑内细观轮轨滚动接触解,进而提出一种以斑内瞬态局部磨耗数τγL为自变量的新损伤函数模型,实现斑内滚动接触疲劳损伤分布的精确预测。以某重载铁路C80货车导向轮对在800 m半径曲线的瞬态通过为例,首先分析宏观与斑内微观蠕滑解的强相关性,确定新损伤函数模型的可行性;其次,基于传统损伤函数,提出一种τγL和局部损伤值dL间关系的确定方法;最后,开展参数变化分析,涵盖可导致滚动接触疲劳的轮轨接触载荷范围,建立重载用U75V淬火轨的新损伤函数模型,0.69 MPa<τγL<3.04 MPa时钢轨会发生滚动接触疲劳损伤且τγL=2.21 MPa时最严重。传统损伤函数预测接触应力很低的接触斑边缘部分也存在损伤,新损伤函数模型中修正了此不合理现象。应用于重载钢轨滚动接触疲劳预测,发现预测的疲劳区与现场观测结果相符,斑内损伤分布能解释现场裂纹扩展方向在一定范围内波动的事实。如何更精确确定新损伤函数关键参数和“磨耗折减量”,尚待更深入研究。 展开更多
关键词 滚动接触疲劳 损伤函数 轮轨瞬态滚动接触 损伤分布 重载钢轨 显式有限元法
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基于ANSYS/LS-DYNA与Rocky DEM联合仿真的高速公路清雪铲除雪性能分析 认领 引用
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作者 孔诚琳 赵明 +4 位作者 杜佳楠 郭扬程 樊锐 吴洪山 刘向东 《工程设计学报》 北大核心 2026年第2期285-300,共16页
针对现有高速公路清雪设备除雪效率低、作业时速慢及无法将积雪抛离至护栏外等问题,建立了清雪铲高速除雪作业的理论模型,并基于显式动力学和离散单元法对其作业过程中的工作参数进行了优化分析。首先,利用SolidWorks软件建立了简化的... 针对现有高速公路清雪设备除雪效率低、作业时速慢及无法将积雪抛离至护栏外等问题,建立了清雪铲高速除雪作业的理论模型,并基于显式动力学和离散单元法对其作业过程中的工作参数进行了优化分析。首先,利用SolidWorks软件建立了简化的清雪铲除雪模型,并分别利用ANSYS/LS-DYNA和Rocky DEM软件进行了显式动力学仿真和离散元仿真,模拟清雪铲对积雪的破碎和抛移过程,得到了积雪的等效应力、抛雪高度及抛雪位移。随后,通过MATLAB软件对理论分析结果和仿真结果进行拟合并转化为可视化结果,得到了清雪铲除雪时的切削角、行进角和行进速度的最优区间。仿真结果表明,清雪铲的最优切削角区间为35°~36°,最优行进角区间为51°~52°,最优行进速度区间为28~29 m/s,其在该条件下模拟作业时的最小抛雪高度为1.360 m,最小抛雪位移为11.700 m,较优化前分别提高了0.160 m和1.490 m,达到了清雪铲抛雪的行业标准。最后,利用Design-Expert软件对清雪铲除雪试验数据进行了响应面拟合,观察到切削角、行进角和行进速度间的两两交互作用均显著。为了得到更优的除雪效果,选择切削角为36°、行进角为52°、行进速度为28.5 m/s的参数组合开展除雪试验。试验结果显示,清雪铲的抛雪高度为1.450 m,抛雪位移为12.600 m,满足高速公路除雪作业的要求,验证了理论分析结果和仿真结果的可靠性。研究结果为高速公路清雪铲的结构参数优化设计提供了参考。 展开更多
关键词 清雪铲 显式动力学 离散单元法 联合仿真 响应面法
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