Interroll tension model adapted to a secondary annealing process

Due to the special secondary rolling and annealing processes,the physical properties of strip ductility and stress relief differ from those of the general products.The proportional integral differential(PID)algorithm for the annealing furnace tension control and the conventional control method that only controls the total tension of the furnace entrance and exit cannot meet production continuity.Aiming at the tension in the annealing furnace,the interroll tension model of the tension of the steel strip between the adjacent furnace rolls is established.By combining the control principle of the annealing furnace roll transmission mechanism,the tension control involves the motor and frequency converter equipment.The coupling relationship between the stator current and the motor’s output torque was determined through the asynchronous equivalent motor circuit.Also,the direct influence of the load torque on the calculated value of the motor’s output tension was obtained through the motor vector control equation.Furthermore,the frequency converter’s voltage control model was analyzed to control the motor’s output tension.Finally,the adjacent furnace roll tension and the horizontal annealing furnace tension were calculated through the interroll tension model.

Modeling bubble column reactor with the volume of fluid approach:Comparison of surface tension models

This work aims at comparing surface tension models in VOF(Volume of Fluid) modeling and investigating the effects of gas distributor and gas velocity. Hydrodynamics of a continuous chain of bubbles inside a bubble column reactor was simulated. The grid independence study was first conducted and a grid size of 1.0 mm was adopted in order to minimize the computing time without compromising the accuracy of the results. The predictions were validated by comparing the experimental studies reported in the literature. It was found that all surface tension models can describe the bubble rise and bubble plume in a column with slight deviations.

A Surface Tension Model for Liquid Mixtures Based on NRTL Equation

A new equation for predicting surface tension is proposed based on the thermodynamic definition of surface tension and the expression of the Gibbs free energy of the system. Using the NRTL equation to represent the excess Gibbs free energy, a two-parameter surface tension equation is derived. The feasibility of the new equation has been tested in terms of 124 binary and 16 multicomponent systems(13-ternary and 3-quaternary) with absolute relative deviations of 0.59% and 1.55% respectively. This model is also predictive for the temperature dependence of surface tension of liquid mixtures. It is shown that, with good accuracy, this equation is simple and reliable for practical use.

Modified surface tension model for free surface flow with single-phase lattice Boltzmann method

A single-phase lattice Boltzmann model with modified surface tension is developed in this paper to solve the problem of high-density-ratio free surface flow.The computational efficiency and accuracy are both enhanced.The restriction to the relaxation factor （which needs to be smaller than 1） is circumvented by the new surface tension algebra,due to its rational physical nature compared with the treatment of Xing,Buther and Yang in their paper （Comp.Mater.Sci.,2007,39（2）：282-290）.The proposed stable surface tension scheme is applied to simulate the free deformation of a square droplet with surface tension effect and the process of a droplet impinging on a liquid film.The numerical solution for free deformation of a droplet agrees well with thermodynamic principles,and also achieves high accuracy in comparison with Xing,et al.＇s model.Three typical impinging modes are successfully obtained with the new scheme,and another particular mode found by Wang and Chen is also successfully simulated.The evolutions of liquid crown agree well with the power law related to time.

Hubble Tension Explanation from This Cosmological Model AΛΩ (Slow Bang Model, SB)

In this article we present a model of Hubble-Lemaître law using the notions of a transmitter (galaxy) and a receiver (MW) coupled to a model of the universe (Slow Bang Model, SB), based on a quantum approach of the evolution of space-time as well as an equation of state that retains all the infinitesimal terms. We find an explanation of the Hubble tension H0. Indeed, we have seen that this constant depends on the transceiver pair which can vary from the lowest observable value, from photons of the CMB (theoretical [km/s/Mpc]) to increasingly higher values depending on the earlier origin of the formation of the observed galaxy or cluster (ETG ~0.3 [Gy], ~74 [km/s/Mpc]). We have produced a theoretical table of the values of the constant according to the possible pairs of transmitter/receiver in the case where these galaxies follow the Hubble flow without large disturbance. The calculated theoretical values of the constant are in the order of magnitude of all values mentioned in past studies. Subsequently, we applied the models to 9 galaxies and COMA cluster and found that the models predict acceptable values of their distances and Hubble constant since these galaxies mainly follow the Hubble flow rather than the effects of a galaxy cluster or a group of clusters. In conclusion, we affirm that this Hubble tension does not really exist and it is rather the understanding of the meaning of this constant that is questioned.

Calculation of Particle Decay Times in the Standard Model

We present here a two-step method of classification and calculation for decay rates in the Standard Model. The first step is a phenomenological classification method, which is an extended and improved schematic experimental formula for decay width originally introduced by Chang. This schematic formula separates decays into seven classes. Furthermore, from it is derived a process-specific interaction energy mX. The second step is a numerical calculation method, which calculates this interaction energy mX numerically by minimization of action from the Lagrangian of the process, from which follows the decay width via the phenomenological formula. The Lagrangian is based on an extension of the Standard Model, the extended SU(4)-preon-model. A comparison of numerically calculated and observed decay widths for a large selection of decays shows a good agreement.

Calculation Model for Surface Tension of Slag Melt

Based on the coexistence theory of slag melt structure and Butler’s equation,a new calculation model has been proposed for the calculation of surface tension of slag melt.This model establishes a specific correlation between surface tension and mass action concentrations(activities) in the melt and on its surface on the basis of inner and surficial structures of slag melt.Calculated surface tensions of CaO-SiOand MnO-SiOslag melts are consistent with those measured.Furthermore,iso-surface tension lines of CaO-MnO-SiOslag melt have also been calculated.

A Molecular Thermodynamic Model for Interfacial Tension in Surfactant-Oil-Water System

An interracial equation of state based on perturbation theory for surfactant-oil-water system has been developed. By comblninE the interracial equation of state with Boudh-Hir and IViansoori's model, a molecular thermodynamic model has been proposed. The interracial tension of surfactant-oil-water systems can be calculated from the surface tensions of pure oil and water by this model. The interfacial tension data for sodium dodecyl sulphate-heptane-water system, polyoxyethylene n-octylphenol-heptane-water system and hexadecyl trimethyl ammonium bromide-heptane-water system have been correlated. By using the adjustable parameters obtained, the interfacial tensions of these systems at other temperatures have been predicted. Both the correlated and the predicted values are sstisfactorv.

A 3-DOF Pseudo-Rigid-Body Model for Tension-Based Compliant Bistable Mechanisms

Compliant bistable mechanisms, devices with two distinct stable equilibrium positions, are used in a variety of applications, such as switches, clasps, and valves. Many kinds of compliant bistable mechanisms were proposed and studied during the past decade. Among them, tension-based compliant bistable mechanisms, that incorporate tension pivots as their flexible members, feature in short travel distance and low power consuming. So far, the design of this kind of bistable mechanisms is done using finite element method through trial and error, thus is time-consuming. By treating the tension pivots as fixed-guided segments and their elongation as a spring, we developed a novel three degree-of-freedom （3-DOF） pseudo-rigid-body model （PRBM） for this kind of bistable mechanisms. The principle of virtual work is used to derive the force-deflection relationship of the PRBM model. The comparison between the PRBM results and the experimental results of the force-deflection characteristics shows that the PRBM can predict not only the bistable behavior of the tension-based bistable mechanisms, but also their soft spring-like post-bistable behavior and the spring-like force-deflection characteristics when pulling in the reverse direction from the as-fabricated position, which is called reverse behavior. The 3-DOF PRBM can be used to design and identify tension-based bistable mechanisms. Using the PRBM instead of the trial-and-error method can greatly reduce the development time of this kind of bistable mechanisms.

Simplified Prediction Model for Vortex-Induced Vibrations of Top Tensioned Risers

According to the characteristics of deepwater top tensioned risers, a simplified model is presented to predict the multi-modal response of vortex-induced vibration （VIV） in non-uniform flow based on energy equilibrium theory and the exporimental data from VIV self-excited and forced oscillations of rigid cylinders. The response amplitude of each mode is determined by a balance between the energy fed into the riser over the lock-in regions and the energy dissipated by the fluid damping over the remainders. Compared with the previous prediction models, this method can take fully account of the intrinsic nature of VIV for low mass ratio structures on lock-in regions, added mass and nonlinear fluid damping effect, etc. Moreover, it is the first time to propose the accurate calculating procedure for VIV amplitude correction factor by solving energy equilibrium equation and a closed form solution is presented for the case of a riser of uniform mass and cross-section oscillating in a uniform flow. The predicted values show a reasonable agreement with VIV experiments of riser models in stepped and sheared currents.

基于修正断裂分析模型的混凝土劈拉强度预测

数值分析是规避试验短板、实现理论预期的重要研究手段。该文采用细观尺度数值试验方法,对建立的基于绕晶失效模式的混凝土三维细观断裂理论分析模型进行修正。采用的混凝土数值分析模型由砂浆、界面及骨料组成,与理论分析模型保持一致。为模拟普通强度混凝土的力学行为,采用塑性损伤本构模型表征砂浆和界面的力学性能,骨料则设为弹性球体。采用自编骨料投放程序,建立了截面尺寸分别为100 mm(一级配)、150 mm(二级配)、300 mm(三级配)和450 mm(四级配)的三维模型混凝土标准立方体试件。通过开展不同界面强度条件下标准立方体试件劈裂拉伸加载数值试验,对理论分析模型进行了修正,建立了用于不同级配混凝土劈拉强度预测的半理论-半经验修正计算公式。与数值试验及物理试验结果对比表明:修正后的理论分析模型能够有效表征混凝土宏观力学性能随细观组成材料力学特性和结构特性的变化规律。该文提出的基于重叠效应和结构效应分析的理论模型修正方法,可为后续建立基于修正断裂分析模型的混凝土力学性能半理论-半经验预测公式奠定基础。

基于GMM的湿筛混凝土轴拉损伤演化机制研究

为研究不同加载阶段下的二级配湿筛混凝土开裂模式与损伤演化过程,将声发射技术(AE)与高斯混合模型(GMM)进行结合作为损伤识别手段,以3种加载速率(1×10^(-6)、5×10^(-6)、25×10^(-6)s^(-1))作为试验变量,对二级配湿筛混凝土开展单轴拉伸损伤时空演化机制试验研究。结果表明:随着加载速率增大,湿筛混凝土试件内部裂缝开展更加密集,并且裂缝种类随机性更高;利用GMM法对声发射数据进行处理分类结果显示,拉伸裂缝为试验加载过程的主要开裂模式,加载速率升高会导致剪切裂缝占比增大;随着加载速率增大,拉伸裂缝频率分布明显扩大,而剪切裂缝与混合裂缝频率分布基本不变;随着加载进行,拉伸裂缝与剪切裂缝概率密度区域均向AF轴趋近;GMM法所得裂缝开裂模式有拉伸裂缝、剪切裂缝与混合裂缝3种类别,并且随着加载进行,混合断裂区所处位置也会发生变化;相较于常规裂缝模式分类方法,GMM法提供了更好的裂缝分类近似值分析,对裂缝开裂模式表述更加可靠。

常温养护超高性能混凝土弯拉性能及轴拉本构模型

根据水化反应方程和紧密堆积理论确定了常温养护下超高性能混凝土(UHPC)的基础配合比,基于此考虑水胶比和钢纤维掺量设计了8组UHPC抗弯试件。通过四点弯曲试验,分析了试件的受弯破坏形态、荷载-挠度曲线、弯拉特征参数和弯曲韧性等;基于试验结果采用倒推方法得到了UHPC轴拉应力-应变曲线,采用回归分析提出了考虑纤维特征的轴拉本构模型,并经过材料和构件两个层次的验证。结果表明:掺加钢纤维可抑制主裂缝的发展,从而明显改善UHPC的抗弯韧性,钢纤维掺量为2.0%的UHPC弯曲韧性指数达到116.9 J;随着水胶比增大,试件抗折强度和峰值挠度均呈下降趋势;增大钢纤维掺量明显提升了试件弯曲性能,掺入2.0%钢纤维的UHPC与未掺纤维相比,其初裂挠度和抗折强度分别提升157.14%和148.63%;当纤维含量为1.5%~2.0%时,试件具有良好的弯拉性能;水胶比对曲线平台段趋势影响不大,纤维掺量大于1.0%时曲线具有较明显的应变硬化特征,可保证UHPC良好的抗拉性能,其应变硬化特征随着纤维掺量增大而变得更明显;所提模型对UHPC受拉应力-应变关系具有较好的预测性。

铝粒尺寸及入炉高度对运动轨迹的影响

二次精炼过程中,铝是钢液进行脱氧及合金化的主要物料之一,但纯铝的密度小于钢液,能否穿越渣层与钢液接触及接触时间对铝的脱氧效果和钢中溶解铝的含量有直接影响。在忽略铝的熔化、溶解及化学反应的情况下,通过对铝粒运动过程受力分析,建立铝粒在气-渣-钢相内的三维运动数学模型,明晰铝粒尺寸及入炉高度对铝粒运动轨迹的影响。结果表明:在渣层厚度为70 mm且入炉高度为1~1.5 m的情况下,1 mm和5 mm的铝粒在渣钢界面处波动;入炉高度为1 m时,粒径为10 mm的铝粒停留在渣钢界面处,但在入炉高度为1.5 m及以上时可以进入钢液;20 mm及以上尺寸的铝粒可以进入钢液。在入炉高度为1 m时、30 mm尺寸的铝粒在钢液中的停留时间与深度相较于20 mm的基础上分别增加22.86%和50.00%;在铝粒尺寸为20 mm时、入炉高度为1.5 m时的铝粒在钢液中的停留时间与深度在1 m的基础上分别增加5.71%和10.00%。增加钢渣界面张力、减小钢铝界面张力或增加渣铝界面张力有利于铝粒进入钢液,而铝粒的尺寸大于20 mm,界面张力对铝块运动几乎没有影响;增大密度会使钢芯铝在钢液中停留更长时间,有利于钢液脱氧。

硅锭线切割张力控制方法对比研究

为满足低成本、低切损、高精度、高稳定性的硅片切割要求,在分析常用的两种线切割张力控制方法优缺点的基础上,采用ADAMS软件进行了弹簧式张力控制原理的建模与动力学仿真,并基于Simulink与MFAC控制算法对电控式张力控制进行了ADAMS与MATLAB动力学联合仿真。结果表明,两种张力控制方法所得到的电极丝加速度变化曲线走势一致,电控式张力控制在快速性及精确性方面优于弹簧式张力控制,但平稳性较差。进而,提出弹簧与电控相结合的张力控制方法,并在ADAMS中完成建模与动力学仿真。结果表明,该装置可在一定程度上取长补短。

多层光纤线包结构稳定性高效计算模型与分析

光纤线包的结构稳定性显著影响光纤系统的服役状态,为解决以有限单元法为代表的数值分析方法,因光纤线包缠绕层数多、非线性强等因素导致的计算时间长、效率低等问题,根据光纤层间仅受压的特点建立光纤线包结构稳定性的高效计算模型,分析光纤的缠绕制度和线径的均匀程度对光纤线包结构稳定性的影响规律,给出线包失稳的线径均匀性临界值。研究结果表明:相比于有限元仿真,该模型在不损失计算精度的前提下计算效率可提升约100倍;等残余张力缠绕制度更有利于线包的结构稳定性;当线径的偏差值超过标准线径的±3%时,光纤位移急剧增大,严重影响光纤线包的结构稳定性;此研究对于多层光纤线包绕制工艺的实时分析和控制具有重要的意义。

多函数模型拟合表面张力与浓度曲线的比较

为了更深入地研究表面张力的经典实验,利用Origin软件,采用多种函数模型对表面张力与浓度曲线分别进行拟合,并对每种函数拟合的优缺点加以讨论。其中对数函数拟合数学准确性较高,同时兼具物理意义,更贴切实况。明确了表面张力与浓度拟合的经典实验中以对数函数模型最为适宜。

模拟爆炸冲击加载下岩石破裂行为的改进JH2模型

JH2模型广泛应用于模拟脆性材料的动态力学行为,但是其强度准则和损伤定义存在一定不足,因此本文针对爆炸冲击荷载作用下的岩石材料提出了一个改进JH2模型.首先为强度模型增加了初始屈服面和非线性损伤尺度因子,对拉伸和压缩损伤分别进行拉压不对称处理,并将体积塑性应变引入到压缩损伤中.将该模型嵌入LS-DYNA材料子程序后,开展一系列单元测试、分离式霍普金森压杆(Split Hopkinson Pressure Bar, SHPB)动态劈裂试验和岩石爆破试验的数值模拟.数值模拟结果表明:改进后的JH2模型克服了原始JH2模型在损伤演化的拉压不对称特性、非线性应变硬化行为、洛德角效应和体积行为等方面的不足,证明了本文所提改进JH2模型的预测精度和应用潜力.