磁流变阻尼器Bingham力学模型改进及参数辨识

磁流变阻尼器不仅具有阻尼快速响应、良好的温度稳定性、内部结构简单等优势,而且可以通过调节控制电流使阻尼器的出力值连续变化,实现阻尼力可控。由于磁流变阻尼器阻尼特性与内部磁流变液的磁流变效应有关,具体表现非常复杂,现有力学模型目精度不足,无法精确描述磁流变阻尼器的阻尼特性。在磁流变阻尼器力学性能测试基础上,应用分段拟合函数方法同时结合反正切函数模型改进模型,并辨识改进后力学模型中各参数。将改进后的Bingham模型与实际测试出力值进行对比,结果表明改进后的Bingham模型能够很好地解决Bingham力学模型在非线性滞回阶段出力值曲线与实际测试数据不符的问题,改进后模型总体出力值曲线与阻尼器实际出力值基本相同,模型精度大幅提升。此种改进方法为磁流变阻尼器建立高精度力学模型提供参考。

Fractional-order visco-plastic constitutive model for uniaxial ratcheting behaviors

This paper proposes a novel unified visco-plastic constitutive model for uniaxial ratcheting behaviors. The cyclic deformation of the material presents remarkable time-dependence and history memory phenomena. The fractional(fractional-order)derivative is an efficient tool for modeling these phenomena. Therefore, we develop a cyclic fractional-order unified visco-plastic(FVP) constitutive model. Specifically, within the framework of the cyclic elasto-plastic theory, the fractional derivative is used to describe the accumulated plastic strain rate and nonlinear kinematic hardening rule based on the Ohno-Abdel-Karim model. Moreover, a new radial return method for the back stress is developed to describe the unclosed hysteresis loops of the stress-strain properly.The capacity of the FVP model used to predict the cyclic deformation of the SS304 stainless steel is verified through a comparison with the corresponding experimental data found in the literature(KANG, G. Z., KAN, Q. H., ZHANG, J., and SUN, Y. F. Timedependent ratcheting experiments of SS304 stainless steel. International Journal of Plasticity, 22(5), 858–894(2006)). The FVP model is shown to be successful in predicting the rate-dependent ratcheting behaviors of the SS304 stainless steel.

Local Bifurcation Analysis of a Delayed Fractional-order Dynamic Model of Dual Congestion Control Algorithms

In this paper, we propose a delayed fractional-order congestion control model which is more accurate than the original integer-order model when depicting the dual congestion control algorithms. The presence of fractional orders requires the use of suitable criteria which usually make the analytical work so harder. Based on the stability theorems on delayed fractionalorder differential equations, we study the issue of the stability and bifurcations for such a model by choosing the communication delay as the bifurcation parameter. By analyzing the associated characteristic equation, some explicit conditions for the local stability of the equilibrium are given for the delayed fractionalorder model of congestion control algorithms. Moreover, the Hopf bifurcation conditions for general delayed fractional-order systems are proposed. The existence of Hopf bifurcations at the equilibrium is established. The critical values of the delay are identified, where the Hopf bifurcations occur and a family of oscillations bifurcate from the equilibrium. Same as the delay,the fractional order normally plays an important role in the dynamics of delayed fractional-order systems. It is found that the critical value of Hopf bifurcations is crucially dependent on the fractional order. Finally, numerical simulations are carried out to illustrate the main results.

Modeling and dynamics analysis of the fractional-order Buck-Boost converter in continuous conduction mode

In this paper, the fractional-order mathematical model and the fractional-order state-space averaging model of the Buck-Boost converter in continuous conduction mode （CCM） are established based on the fractional calculus and the Adomian decomposition method. Some dynamical properties of the current-mode controlled fractional-order Buck- Boost converter are analysed. The simulation is accomplished by using SIMULINK. Numerical simulations are presented to verify the analytical results and we find that bifurcation points will be moved backward as α and β vary. At the same time, the simulation results show that the converter goes through different routes to chaos.

Modified Grey Model Predictor Design Using Optimal Fractional-order Accumulation Calculus

The major advantage of grey system theory is that both incomplete information and unclear problems can be processed precisely. Considering that the modeling of grey model(GM) depends on the preprocessing of the original data,the fractional-order accumulation calculus could be used to do preprocessing. In this paper, the residual sequence represented by Fourier series is used to ameliorate performance of the fractionalorder accumulation GM(1,1) and improve the accuracy of predictor. The state space model of optimally modified GM(1,1)predictor is given and genetic algorithm(GA) is used to find the smallest relative error during the modeling step. Furthermore,the fractional form of continuous GM(1,1) is given to enlarge the content of prediction model. The simulation results illustrated that the fractional-order calculus could be used to depict the GM precisely with more degrees of freedom. Meanwhile, the ranges of the parameters and model application could be enlarged with better performance. The method of modified GM predictor using optimal fractional-order accumulation calculus is expected to be widely used in data processing, model theory, prediction control and related fields.

Fractional-order Maxwell model of seabed mud and its effect on surface-wave damping

A fractional-order Maxwell model is used to describe the viscoelastic seabed mud. The experimental data of the real mud well fit the results of the fractional-order Maxwell model that has fewer parameters than the traditional model. The model is then used to investigate the effect of the mud on the surface-wave damping. The damping rate of a linear monochromatic wave is obtained. The elastic resonance of the mud layer is observed, which leads to the peaks in the damping rate. The damping rate is a sum of the modal damping rates, which indicates the wave damping induced by the mud motion of particular modes. The analysis shows that near the resonance, the total damping rate is dominated by the damping rate of the corresponding mode.

Intelligent Networks for Chaotic Fractional-Order Nonlinear Financial Model

The purpose of this paper is to present a numerical approach based on the artificial neural networks(ANNs)for solving a novel fractional chaotic financial model that represents the effect of memory and chaos in the presented system.The method is constructed with the combination of the ANNs along with the Levenberg-Marquardt backpropagation(LMB),named the ANNs-LMB.This technique is tested for solving the novel problem for three cases of the fractional-order values and the obtained results are compared with the reference solution.Fifteen numbers neurons have been used to solve the fractional-order chaotic financial model.The selection of the data to solve the fractional-order chaotic financial model are selected as 75%for training,10%for testing,and 15%for certification.The results indicate that the presented approximate solutions fit exactly with the reference solution and the method is effective and precise.The obtained results are testified to reduce the mean square error(MSE)for solving the fractional model and verified through the various measures including correlation,MSE,regression histogram of the errors,and state transition(ST).

On a new fractional-order Logistic model with feedback control

In this paper,we formulate and analyze a new fractional-order Logistic model with feedback control,which is different from a recognized mathematical model proposed in our very recent work.Asymptotic stability of the proposed model and its numerical solutions are studied rigorously.By using the Lyapunov direct method for fractional dynamical systems and a suitable Lyapunov function,we show that a unique positive equilibrium point of the new model is asymptotically stable.As an important consequence of this,we obtain a new mathematical model in which the feedback control variables only change the position of the unique positive equilibrium point of the original model but retain its asymptotic stability.Furthermore,we construct unconditionally positive nonstandard finite difference(NSFD)schemes for the proposed model using the Mickens’methodology.It is worth noting that the constructed NSFD schemes not only preserve the positivity but also provide reliable numerical solutions that correctly reflect the dynamics of the new fractional-order model.Finally,we report some numerical examples to support and illustrate the theoretical results.The results indicate that there is a good agreement between the theoretical results and numerical ones.

A Nonlinear Grey Bernoulli Model with Conformable Fractional-Order Accumulation and Its Application to the Gross Regional Product in the Cheng-Yu Area

This study considers a nonlinear grey Bernoulli forecasting model with conformable fractionalorder accumulation,abbreviated as CFNGBM(1,1,λ),to study the gross regional product in the ChengYu area.The new model contains three nonlinear parameters,the power exponentγ,the conformable fractional-orderαand the background valueλ,which increase the adjustability and flexibility of the CFNGBM(1,1,λ)model.Nonlinear parameters are determined by the moth flame optimization algorithm,which minimizes the mean absolute prediction percentage error.The CFNGBM(1,1,λ)model is applied to the gross regional product of 16 cities in the Cheng-Yu area,which are Chongqing,Chengdu,Mianyang,Leshan,Zigong,Deyang,Meishan,Luzhou,Suining,Neijiang,Nanchong,Guang’an,Yibin,Ya’an,Dazhou and Ziyang.With data from 2013 to 2021,several grey models are established and results show that the new model has higher accuracy in most cases.

A Bingham-Plastic Model for Fluid Mud Transport Under Waves and Currents

Simplified equations of fluid mud motion, which is described as Bingham-Plastic model under waves and currents, are presented by order analysis. The simplified equations are non-linear ordinary differential equations which are solved by hybrid numerical-analytical technique. As the computational cost is very low, the effects of wave current parameters and fluid mud properties on the transportation velocity of the fluid mud are studied systematically. It is found that the fluid mud can move toward one direction even if the shear stress acting on the fluid mud bed is much smaller than the fluid mud yield stress under the condition of wave and current coexistence. Experiments of the fluid mud motion under current with fluctuation water surface are carried out. The fluid mud transportation velocity predicted by the presented mathematical model can roughly match that measured in experiments.

SECOND-ORDER MOMENT MODEL FOR DENSE TWO-PHASE TURBULENT FLOW OF BINGHAM FLUID WITH PARTICLES

The USM-θ model of Bingham fluid for dense two-phase turbulent flow was developed, which combines the second-order moment model for two-phase turbulence with the particle kinetic theory for the inter-particle collision. In this model, phases interaction and the extra term of Bingham fluid yield stress are taken into account. An algorithm for USM-θ model in dense two-phase flow was proposed, in which the influence of particle volume fraction is accounted for. This model was used to simulate turbulent flow of Bingham fluid single-phase and dense liquid-particle two-phase in pipe. It is shown USM-θ model has better prediction result than the five-equation model, in which the particle-particle collision is modeled by the particle kinetic theory, while the turbulence of both phase is simulated by the two-equation turbulence model. The USM-θ model was then used to simulate the dense two-phase turbulent up flow of Bingham fluid with particles. With the increasing of the yield stress, the velocities of Bingham and particle decrease near the pipe centre. Comparing the two-phase flow of Bingham-particle with that of liquid-particle, it is found the source term of yield stress has significant effect on flow.

Fractional-order Generalized Principle of Self-support (FOGPSS) in Control System Design

This paper reviews research that studies the principle of self-support(PSS) in some control systems and proposes a fractional-order generalized PSS framework for the first time.The existing PSS approach focuses on practical tracking problem of integer-order systems including robotic dynamics,high precision linear motor system,multi-axis high precision positioning system with unmeasurable variables,imprecise sensor information,uncertain parameters and external disturbances.More generally,by formulating the fractional PSS concept as a new generalized framework,we will focus on the possible fields of the fractional-order control problems such as practical tracking,λ-tracking,etc.of robot systems,multiple mobile agents,discrete dynamical systems,time delay systems and other uncertain nonlinear systems.Finally,the practical tracking of a first-order uncertain model of automobile is considered as a simple example to demonstrate the efficiency of the fractional-order generalized principle of self-support(FOGPSS) control strategy.

动水条件下宾汉体浆液在倾斜裂隙中运移规律

通过理论推导建立了考虑浆液自重的倾斜裂隙动水注浆扩散模型,通过模型试验分析了动水流速及裂隙倾角对扩散规律的影响,验证了扩散模型的合理性。结果表明,不同工况下浆液的扩散形态基本都是从圆形到椭圆形再到U形;随着裂隙倾角增加,浆液形态中圆形持续时间逐渐缩短直至消失,椭圆形持续时间变长,逆水方向和横向扩散距离减小,扩散形态略显修长;水速越高浆液形态变化耗时越短,逆水方向和横向扩散距离越小,浆液的最终形态越修长。

沥青温拌技术分类及温拌效果的试验评价方法

沥青温拌技术日益广泛应用于路面工程,为了定量评价温拌沥青混合料在拌和生产过程中的温拌效果,提供试验评价方法,本研究自主开发了一种沥青混合料变速拌和试验装置,采用70^(#)基质和SBS改性两种沥青、自主研发的一种表面活性剂型沥青温拌剂(取名为Alube)和一种有机降黏型沥青温拌剂(取名为ACMP),以市场成熟产品Evotherm为参照,分别制备了温拌沥青及其AC-13C型混合料,测试了不同沥青和温拌沥青的三大指标、布氏黏度和动态剪切流变指标,分析了沥青的黏温曲线特性,通过混合料的变温击实试验和变速拌和试验,研究了沥青混合料的压实特性和拌和流动特性,提出了沥青混合料的拌和流动模型。研究结果表明,有机降黏型温拌剂减小了沥青的黏度,增大了沥青的流动性,改变了沥青的技术性能,如针入度、延度、相位角等增大,软化点、布氏黏度等减小,而表面活性剂型温拌剂不改变沥青的基本技术性能;黏温曲线法仅可表征有机降黏型温拌沥青的温度变化,等黏温度降低约9℃,变温击实法和变速拌和法则可以同时表征两大类温拌剂的温拌效果;沥青混合料的拌和流动性服从宾汉黏塑性模型,从流变理论上解答了混合料的拌和流动性及和易性,推荐采用变速拌和试验来评价温拌沥青混合料的温拌效果;综合考察现有沥青温拌技术可知,在常用温拌剂掺量下,温拌沥青的生产拌和温度可比热拌沥青混合料低20~30℃,符合常规认识。

磁流变液阻尼器Bingham-多项式力学模型研究

针对磁流变液的流变特性,分别以磁流变液的Bingham力学模型、多项式力学模型和Bingham-多项式力学模型为理论基础,建立磁流变液阻尼器的力学模型,并对三种力学模型进行参数辨识,得到准确的数学模型。搭建一套双通道负载模拟试验台,通过试验研究对比三种力学模型模拟结果和试验测试结果,评估三种力学模型的精度和Runge振荡现象。研究结果表明,Bingham力学模型具有结构简单、物理量意义明确和较强的工程实用性等优点,但缺点是模型精度较差;六阶以上多项式力学模型模拟精度较高,但是随着多项式阶数的升高,模拟曲线的Runge振荡现象也越来越严重,而且曲线有可能失真;提出的Bingham-多项式力学模型能够同时解决传统多项式力学模型中低阶曲线精度低和高阶曲线易振荡的问题,模型的模拟结果和试验测试结果吻合精度较高。研究结果可为磁流变液阻尼器在振动控制领域中力学模型的选择提供参考。

考虑磁场的磁流变效应Bingham建模

作为可控智能材料,磁流变体在车辆减振器、发动机悬置等减振领域应用日趋广泛。磁流变效应表现为在磁场作用下,磁流变体的剪切屈服应力将显著增长,从液态转变为半固态。通过考虑磁场条件下的磁流变效应 Bingham建模,研究了不同激励电流和剪切速率条件下磁流变体的轴对称环状间隙流动。同时,研究不同间隙宽度、不同粘度和不同剪切速率条件下,阻尼力随激励电流的变化关系。

改进的广义Bingham岩石蠕变模型

基于岩石全自动流变伺服仪上得到的绿片岩三轴流变试验数据,分析蠕变曲线的特征,构造出能够表现岩石衰减蠕变和加速蠕变阶段特征的非线性函数,引入到广义Bingham的蠕变本构方程中,得到一个新的非线性蠕变模型,该模型的材料参数较少。通过绿片岩流变数据对新的非线性蠕变模型的参数进行辩识,得到了蠕变模型的材料参数。对蠕变模型计算结果和试验结果的比较表明,该模型能够很好的描述蠕变曲线中的初始衰减蠕变阶段、稳态蠕变阶段和加速蠕变阶段,证明了该模型的正确性和合理性。

Bingham型黏性泥石流流体的三维数值模拟

使用CFD软件对泥石流中固体物质以土为主的Bingham型黏性泥石流流体进行了三维数值模拟.首先通过CAD软件AutoCAD和Unigraphics,建立了泥石流沟谷三维地形模型,然后分析了泥石流流体的流变特性,并建立了Bingham计算模型,最后运用CFD软件CFX,对泥石流流体的速度场及压力场的大小与分布进行了三维数值模拟分析,得出了流场的相关力学指标和泥石流速度场及压力场的大小与分布,并实现了泥石流模拟结果的显示.计算结果表明,泥石流流体数值模拟可以在CFD软件环境下完成,计算得出的泥石流流场各种数据有助于更合理地避让和防治泥石流.

磁流变阻尼器的分数阶Bingham模型研究

为解决磁流变阻尼器的Bingham模型在拟合阻尼力-位移关系时"具有较高精度,但是无法准确描述阻尼力-速度的滞后"的问题,基于传统Bingham模型进行了改进,应用分数阶微分形式的Bingham模型,更加准确地拟合了速度-阻尼力的滞回特性。在改进的模型中以分数阶导数代替了传统模型中位移的一阶导数,既能够描述磁流变液屈服后的粘性剪切流动,又包含磁流变液体在低剪切速率下未屈服时的弹性变形。对一种磁流变阻尼器进行了实验,比较传统Bingham模型和改进分数阶模型阻尼力-位移和阻尼力-速度拟合的精度,分析分数阶微分项阶数与控制电流及阻尼力-速度滞后特性的关系。实验结果表明,分数阶微分形式的Bingham模型拟合磁流变阻尼器力-位移和力-速度关系,其精度均较传统Bingham模型有明显提高。

基于Bingham模型的磁流变阻尼器的优化设计

利用磁流变液这种智能材料设计制作阻尼耗能器件在近些年得到了广泛重视,但多数采用经验公式决定结构尺寸的方法具有片面性。本文利用Bingham轴对称模型并根据具体使用要求优化设计了阻尼器的结构参数,并编程进行了计算。根据计算结果制作的磁流变阻尼器经测试其性能达到了预期的要求,表明优化设计方法是正确可行的。