钢筋混凝土结构破坏过程的近场动力学模拟

采用近场动力学(Peridynamics,PD)方法对钢筋混凝土结构破坏过程进行模拟,在"键"型近场动力学模型的基础上,考虑物质点对间的转动以突破泊松比的限制,采用能够描述混凝土材料的拉压异性和断裂特征的损伤模型,引入动态松弛、分级加载、平衡收敛准则和冲击接触等算法,建立了能准确描述钢筋混凝土结构破坏的近场动力学模型....     

Energy dependence on modes of electric activities of neuron driven by multi-channel signals

Nonlinear Dynamics - Neuron can receive electric signals or forcing currents from more than one channel, and these forcing currents could show some diversity. Based on the Hindmarsh–Rose...     

阶跃信号电探针诊断爆轰加载下金属微喷现象

针对目前缺乏用于狭小测试空间复杂结构金属样品的微喷现象诊断技术的现状,探索使用阶跃信号电探针诊断爆轰加载下金属样品微喷现象的方法。设计阶跃信号电探针测试技术,开展仿真验证电探针在微喷物质导通下K+RX模式的放电机理。在爆轰微喷实验中通过电探针信号观察到准连续状态微喷区及其存在的两种动作演化过程:阶梯放电曲线表征微喷物质随靠近后界面密度逐步增加,多次放电现象表征微喷物质从连续状态拉升变为离散状态。采用微射流模型描述准连续状态微喷区物质状态,通过电平曲线计算出被测物质等效电阻,再通过等效电阻计算微射流的等效尺寸,从而可描述准连续状态微喷区物质的密度。     

Simulating gas–liquid multiphase flow using meshless Lagrangian method

A multiphase flow model has been established based on a moving particle semi‐implicit method. A surface tension model is introduced to the particle method to improve the numerical accuracy and stability. Several computational techniques are employed to simplify the numerical procedure and further improve the accuracy. A particle fraction multiphase flow model is developed and verified by a two‐phase Poiseuille flow. The multiphase surface tension model is discussed in detail, and an ethanol drop case is introduced to verify the surface tension model. A simple dam break is simulated to demonstrate the improvements with various modifications in particle method along with a new boundary condition. Finally, we simulate several bubble rising cases to show the capacity of this new model in simulating gas–liquid multiphase flow with large density ratio difference between phases. The comparisons among numerical results of mesh‐based model, experimental data, and the present model, indicate that the new multiphase particle method is acceptable in gas–liquid multiphase fluids simulation. Copyright © 2014 John Wiley & Sons, Ltd.     

Simulating the Kinematic Dynamo Forced by Heteroclinic Convective Velocity Fields

We report on the integration of the kinematic dynamo problem in a spherical domain forced by velocity fields that are convective fluid flows resulting from a bifurcation analysis of the spherical Bénard problem. We derive a code based on generalized spherical harmonics that ensures a divergence-free magnetic field. We determine the growth or decay of a magnetic field in the kinematic dynamo equation for various physically relevant velocity fields which are stationary as well as time-periodic and chaotic. Velocity signals that are produced by heteroclinic cycles are used as an input to an energy-saturated kinematic dynamo equation that limits the growth of the linearly unstable modes. Preliminary calculations indicate the possibility of reversals of the magnetic field for this case of forcing. Received 8 October 1996 and accepted 28 April 1997     

Analysis of an emission model with electromagnetic coils using electric shock

In this paper, we investigate an emission model with two electromagnetic coils using two-dimensional ordinary differential equations. By carrying out the bifurcation analysis of the model, it is shown there are different kinds of bifurcation in this model, including Hopf bifurcation, and Bogdanov?CTakens bifurcation. The obtained results may provide some new insights in electric firing models.     

Tomographic diagnostics of technical materials and biological tissues using electric current

A mathematical model for impedance computer tomography methods is considered. The continuum formulation of the main problem is studied. Resolving integral equations are derived. A solution algorithm based on the Bubnov—Galerkin method with linearization of nonlinear resolving equations is developed. A numerical example is given, and numerical results are analyzed. Some drawbacks of the model are considered together with methods for avoiding them.     

Turbulence generation by electric body forces

The effect of an electric body force on vorticity production and turbulence generation in a gas is investigated by examination of the governing electrohydrodynamic equations. The theoretical concepts are illustrated by hot-film anemometer measurements of the electrically induced turbulence in a large scale electrostatic precipitator. The results indicate dramatic increases in turbulence and diffusivity due to the corona discharge and suggest that turbulence control in this application requires a modification in electrode geometry.This paper was presented at the Ninth symposium on turbulence, University of Missouri-Rolla, October 1–3, 1984     

Simulating a crack by a notch in the solution of dynamic problems

In the article the method of dynamic photoelasticity is used to investigate the formation of a state of stress at the apexes of cracks and notches under the action of stress waves. Edge and closed cracks in the case of the action of longitudinal and surface waves are discussed. The investigations show that a crack may be simulated by a notch only under definite conditions.Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 4, pp. 173–178, July–August, 1973.The author thanks Yu. N. Rabotnov for his advice and for his observations during evaluation of the work.     

Simulating 3D deformable particle suspensions using lattice Boltzmann method with discrete external boundary force

A method for direct numerical analysis of three‐dimensional deformable particles suspended in fluid is presented. The flow is computed on a fixed regular ‘lattice’ using the lattice Boltzmann method (LBM), where each solid particle is mapped onto a Lagrangian frame moving continuously through the domain. Instead of the bounce‐back method, an external boundary force (EBF) is used to impose the no‐slip boundary condition at the fluid–solid interface for stationary or moving boundaries. The EBF is added directly to the lattice Boltzmann equation. The motion and orientation of the particles are obtained from Newtonian dynamics equations. The advantage of this approach is outlined in comparison with the standard and higher‐order interpolated bounce‐back methods as well as the LBM immersed‐boundary and the volume‐of‐fluid methods. Although the EBF method is general, in this application, it is used in conjunction with the lattice–spring model for deformable particles. The methodology is validated by comparing with experimental and theoretical results. Copyright © 2009 John Wiley & Sons, Ltd.     

Stabilization of bubble-liquid processes by an electric field

The stability of bubble-liquid and sedimentation processes in the presence of an electric field is investigated. To describe such processes in the case of polarizable particles or bubbles in a dielectric liquid in the presence of an electric field, the multivelocity model of a multiphase mixture interacting with an electric field [1] has been used. Gogosov, Naletova, and Shaposhnikova [2] have shown that a transition can take place to a regime of uniform ascent or sinking of the particles in the field of a planar capacitor. In the present paper, a criterion of stability of such a regime in an electric field is derived. It is shown that if the electric field is sufficiently strong (stronger than a certain critical E_cr) the regime is stable. The stability arises because in a mixture of polarizable phases in the presence of an electric field the difference between the permittivities results in a force F which acts on the disperse phase. In the one-dimensional case, under certain conditions, this force is proportional to the gradient of the volume concentration of the particles and has the opposite direction (F = -² ). Thus, this force, like the pressure gradient in a gas, tends to smooth perturbations of the density, velocity, and other parameters. It is found that if the electric field is absent or sufficiently weak the processes of uniform ascent and sinking are unstable with respect to small perturbations. A formula is derived for calculating the thickness of a liquid layer in which weak perturbations do not succeed in increasing their amplitude appreciably (the case when the flow parameters are such that the motion is unstable with respect to small perturbations). The thicknesses of this layer for different mixtures are given. It is shown that a magnetic field has a stabilizing influence on the considered processes in a magnetic liquid or in magnetizable particles in an ordinary liquid.Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 4, pp. 5–12, July–August, 1982.     

用非线性模态综合法模拟碰撞接触区应力

本文从振动分析的观点出发,研究了线弹性系统的碰撞问题.文中借助有限元方法确定参与碰撞之系统的动力学特性,然后应用非线性模态综合法对碰撞过程进行模拟计算,得到了接触面皮下微深处的应力分布及其随时间变化的规律.文中指出:只要有碰撞存在,接触表面的挤压应力就一定能够超过材料的线弹性极限而出现塑性变形或破坏.     

Optimization study of spray detonation initiation by electric discharges

Development of air-breathing pulse detonation engines is faced with a challenging problem of detonation initiation in fuel sprays at distances feasible for propulsion applications. Extensive experimental study on initiation of a confined n-hexane spray detonation in air by electric discharges is reported. It is found that for direct initiation of spray detonation with minimal energy requirements (1) it is worth to use one discharger located near the closed end of a detonation tube and at least one additional discharger downstream from it to be triggered in-phase with primary shock wave arrival; (2) the discharge area should be properly insulated to avoid electric loss to metal tube walls; (3) discharge duration should be minimized to at least 50 μs; (4) discharge channel should preferably occupy a large portion of a tube cross-section; (5) test tube should be preferably of a diameter close to the limiting tube diameter; (6) gradual transition between the volume with electric discharger and the tube should be used; and (7) a powerful electric discharger utilized for generating a primary shock wave can be replaced by a primary shock wave generator comprising a relatively low-energy electric discharger, Shchelkin spiral, and tube coil. With all these principles implemented, the rated electric energy of about 100 J was required to initiate n-hexane spray–air detonation in a 28-mm tube at a distance of about 1 m from the atomizer. PACS 02.60.Cb; 05.10.Ln; 47.11.+j; 47.15.Cb; 47.40.Nm This paper was based on work that was presented at the 19th Inter-national Colloquium on the Dynamics of Explosions and Reactive Systems, Hakone, Japan, July 27 - August 1, 2003     

Chemical analysis by force measurements in electric fields

A method is presented measuring the force acting on a sample in the inhomogeneous part of the electric field of a condensor. The possibilities for using this method in automatic chemical analysis of liquids or in liquid chromatography are discussed.     

血管内支架扩张行为的有限元分析

用非线性有限元技术模拟了球囊胀开式血管内支架在内表面压力作用下的自由扩张过程.计算了不锈钢支架扩张过程的径向位移、轴向位移和非线性回复量,结果表明支架变形后的径向位移量随载荷压力增大而增加,最大应力值随之升高.本文的模拟方法为血管内支架的优化设计及性能评估提供了科学的依据.     

Non-linear longitudinal vibrations of piezoceramics excited by weak electric fields

Typical non-linear effects, e.g. dependence of the resonance frequency on the amplitude, superharmonics in spectra and a non-linear relationship between excitation voltage and vibration amplitude as well as jump phenomena are observed in experiments with piezoceramics excited at resonance by weak electric fields. These non-linear effects can be observed for both the piezoelectric 31- and the 33-effect. In contrast to the well-known non-linear effects exhibited by piezoceramics in the presence of strong electric fields, these effects are not described in detail in the literature.In this paper, we attempt to model these phenomena using an electric enthalpy density to capture the cubic-like effects observed in the experiments. The equations of motion for the system under consideration are derived via the Ritz method using Hamilton's principle. The ‘non-linear’ parameters are identified and the numerical results are compared to those obtained experimentally. The effects described herein may have a significant influence in structures excited close to resonance frequencies via piezoelectric elements.     

微喷射物质作用下脉冲信号电探针的放电机理

针对脉冲信号电探针在微喷射物质作用下出现的“非正常”放电现象,提出了微喷射物质K+R_x等效电路模型,用以解释微喷射物质导通电探针放电机理。开展爆轰实验,联合X射线测试技术,确定了电探针放电区域处于微喷射区与微层裂区的过渡地带,并发现电探针的3类“非正常”放电现象。建立电路仿真模型,将微喷射物质等效成K+R_x电路,调节K+R_x等效电路模型参数,模拟电探针的3类“非正常”放电现象。仿真结果表明,K+R_x等效电路模型很好地解释了微喷射物质作用下脉冲信号电探针的放电机理。