管件无模拉伸成形力能参数数学模型研究

对不锈钢管件无模拉伸变形速度场及力能参数进行了理论及实验研究.分析了不锈钢管件无模拉伸的变形模型、速度场以及力能参数的影响因素及影响规律,采用上限法确定了不锈钢管件无模拉伸速度场及力能参数物理模型,填补了国内外关于不锈钢管件无模拉伸变形及力能参数物理模型研究的空白.为不锈钢管件无模拉伸工艺工业化应用奠定基础.     

管材无模扩径壁厚变化数学模型研究

对管材无模扩径变形速度场及壁厚变化规律进行了理论及实验研究.分析了管材无模扩径的变形模型、速度场以及壁厚变化的影响因素及影响规律,采用上限法确定了管材无模扩径速度场及壁厚变化数学模型.     

余弦模拉拔方棒速度场的曲面积分解法

本文对使用余弦模拉拔方棒变形问题,设定了运动许可的三维速度场。证明了该速度场的散度为零且变形区出。入口截面不消耗剪切功率,然后用上界定理与曲面积分方法首次得到了用余弦模拉拔方棒时变形力的解析解。     

平面变形拉拔挤压的变上限积分与解析解

本文采用直角坐标系,设定与Avitzur不同的运动许可速度场,经变上限积分得到扁带平面变形拉拔挤压的上界解析解.     

基于智能控制的高速线材轧机水冷控制系统优化

针对武汉钢铁集团公司大型轧钢厂当前在高速线材生产线中存在的水冷控制系统可靠性差,轧线温度波动范围大等问题,应用智能计算理论及方法对上述工业控制系统进行系统辨识、建模以及优化.分析比较了基于梯度下降搜索BP算法、径向基函数网络、Levenberg Marquardt BP算法的前馈神经网络对SMS水冷系统的逼近精度、训练速度.研究了采用Levenberg-Marquardt BP算法的前馈神经网络在样本集和测试集上的表现,建立了基于Levenberg-Marquardt BP算法的前馈神经网络水冷控制系统模型.解决了高速线材水冷控制系统可靠性,温度控制精度问题.     

流经有热源多孔平板并伴有化学反应的传热传质混合对流MHD流动

对流经无限竖直多孔平板的不可压缩粘性导电流体,稳定的传热传质混合对流MHD流动问题,给出了精确解和数值解.假定均匀磁场横向作用于流动方向,考虑了感应磁场及其能量的粘性和磁性损耗.多孔平板有恒定的吸入速度并均匀地混入流动速度.用摄动技术和数值方法求解控制方程.得到了平板上速度场、温度场、感应磁场、表面摩擦力和传热率的分析表达式.相关参数取不同数值时,用图形表示出问题的数值结果.讨论了从平板到流体的Hartmann数、化学反应参数、磁场的Prandtl数,以及包括速度场、温度场、浓度场和感应磁场等其它参数的影响.可以发现,热源/汇或Eckert数的增大,极大地提高了流体的速度值.x-方向的感应磁场随着Hartmann数、磁场的Prandtl数、热源/汇和粘性耗散的增大而增大.但是,研究表明,随着破坏性化学反应(K0)的增大,流动速度、流体温度和感应磁场将减小.对色谱分析系统和材料加工的磁场控制,该研究在热离子反应堆模型、电磁感应、磁流体动力学传输现象中得到了应用.     

移动热源作用下基于分数阶应变的三维弹性体热-机响应

基于分数阶应变理论,研究了移动热源作用下三维弹性体的热-机动态响应.将分数阶应变理论下的控制方程应用于三维半空间模型,通过Laplace积分变换、双重Fourier变换及其数值反变换对控制方程进行求解,得到了不同热源速度和不同分数阶参数下,无量纲温度、应力、应变和位移的分布规律.结果表明,分数阶应变参数对机械波影响显著...     

在有热源/热汇的竖直通道中作混合对流时的第3类边界条件

在竖向平行板通道中,研究粘性耗散和热源/热汇对充分发展的混合层状对流的影响.平板与外部流体进行了热交换,考虑了两种边界条件:与外部流体的参考温度相同的和不相同的.首先,数值地求解Brinkman数或Grashof数可以忽略的简单情况,然后,运用摄动级数法分析有热源/热汇存在时,浮力和粘性耗散对流动的组合影响,并证明摄动参数不大时是有效的.为了放宽摄动参数的使用条件,运用4阶Runge-Kutta打靶法,求解速度和温度场,对平板处的速度、温度、表面摩擦和Nusselt数进行数值讨论并绘出图形.     

射流通道内方柱发热器件的几何设计北大核心CSCD

基于构形理论,建立了二维射流通道内导热基座上方柱离散热源的散热优化模型.给定离散热源的总纵截面面积和热源高度为约束条件,以系统最高温度和熵产率为优化目标,以各热源的长度比为优化变量进行了几何设计,并分析了射流速度和热源间距对热源最优构形的影响.当射流速度和热源间距给定时,均存在最优长度比使系统最高温度和熵产率最低,但对应不同射流速度和热源间距的最优长度比不同.研究结果可为方柱发热器件的热设计提供理论指导.     

粉末注射成形填充过程的数值模拟

本文将粉末注射成形喂料在薄壁模腔中的流动视为二维流动，以流变学的基本方程为基础，建立了从动量方程、连续方程和热传递方程得到的描述PIM喂料充模二维流动的数学模型。在无滑移边界的条件下，推导了喂料熔体流导率的计算公式和压力场的控制方程，得到的压力场控制方程是一非线性椭圆偏微分方程．从而可用Galerkin方法进行数值求解，使模型的数值求解成为可能，为进一步对粉末注射成形进行计算机模拟和数值分析奠定了数学基础。     

Plastic mechanical analysis of drawing force based on a twin elliptical die

According to the stream function requirement, a twin elliptical die for rod or wire drawing is designed, and the subsequent plastic mechanical analysis is carried out. In terms of the volume constant condition, a kinematically admissible velocity field describing the drawing process is constructed. Based on the velocity field, the analytical expression of internal plastic deformation energy rate accounting for the non-zero shear strain rate is obtained by using the mean value theorem of integral. Then, the analytical expression of friction energy rate is also derived by the mean value theorem of integral. Ultimately, the analytical expression of the drawing force is obtained based on the upper bound method. It is found that there exists the optimal die semi-angle which depends on the relative reduction and friction factor. The analytical drawing force based on the twin elliptical die is validated by the corresponding simulated results, and a very agreement is found since the relative errors between them are less than 9.2%.     

抛物线模拔速度场的曲线积分问题

文章采用ｖｏｎＫａｒｍａｎ基本假设对模面函数为抛物线（又称喇叭模）的拔制问题设定了运动许可速度场，并经曲线积分与变上限积分得到拔制力的上界解析解。     

On Plane Dilatational Plasticity

The plane plastic deformation of a generally anisotropic rigid-plastic material which possesses a yield condition dependent upon mean triaxial stress and which, through the classical associated flow rule, exhibits plastic dilatation, is considered. This model is used to represent the behavior of micro-porous ductile metals in which the micro-cavities may be strongly aligned due to large prior plastic strains, as for example the material surrounding the tip of an extending notch in a ductile metal. It is shown that the stress and velocity fields are hyperbolic where a line of vanishing extension rate may be found in the plane of deformation, and that the characteristics of both the stress and velocity fields coincide with the lines of vanishing extension rate. Coincidence of the characteristics of stress and velocity fields in general anisotropic plastic bodies seems not to have been expected in earlier writings, but is a natural consequence of the associated flow rule. Simple means of determining whether a given stress state at yield lies in a hyperbolic or elliptic field are discussed. The role of characteristics in providing ductile fracture nuclei is discussed.     

Strain field and extrusion load in ECAE process of bi-metal circular cross section

In this paper the previous velocity field proposed by the authors for the prediction of strain field and deformation load of circular cross section billet in ECAE process has been extended to take into account the deformation behavior of bimetal circular billet in the same process. Accordingly, using Bezier method, as a robust method for determining the geometry of the streamlines, the strain field developed in the circular bimetal billet is calculated. Then, based on the kinematically admissible velocity and strain fields and using the upper bound theorem the ECAE load is predicted. It was found that at constant inner corner angle of ECAE die, with decreasing of outer curve corner the inhemogenity of strain distribution is decreased and the ECAE force is increased. Also, at a constant outer curve corner, by decreasing the inner corner angle, the extrusion load is increased. A good agreement was found between the predicted and experimental results.     

Modeling the Sedimentation of Red Blood Cells in Flow under Strong External Magnetic Body Force Using a Lattice Boltzmann Fictitious Domain Method

Experimental observations show that a strong magnetic field has a dramatic influence on the sedimentation of RBCs, which motivates us to model the sedimentation of red blood cell (RBC) under strong external magnetic body force. To model the sedimentation of a RBC in a square duct and a circular pipe, a recently developed technique derived from the lattice Boltzmann and the distributed Lagrange multiplier/fictitious domain methods (LBM-DLM/FD) is extended to employ the mesoscopic network model for simulations of the sedimentation of a RBC in flow. The flow is simulated by the LBM with a strong magnetic body force, while the network model is used for modeling RBC deformation. The fluid-RBC interactions are enforced by the Lagrange multiplier. The sedimentation of RBC in a square duct and a circular pipe is simulated, which demonstrates the developed method's capability to model the sedimentation of RBCs in various flows. Numerical results illustrate that the terminal settling velocity increases incrementally with the exerted body force. The deformation of RBC has a significant effect on the terminal settling velocity due to the change in the frontal area. The larger the exerted force, the smaller the frontal area and the larger the RBC deformation become. Additionally, the wall effect on the motion and deformation of RBC is also investigated.     

解析辊拔问题的变上限与参变量积分

本文建立与Ａｖｉｔｚｕｒ不同的直角坐标系速度场与应变速率场，并采用变上限积分与参变量积分获得辊拔力的上界解析解。     

Analysis of plate rolling by MY criterion and global weighted velocity field

A three-dimensional velocity field for plate rolling is proposed by global weighted method. Then, using the field and linear MY (mean yield) criterion, the power functional of internal deformation for plate rolling is analyzed. The collinear vector inner product is used in the friction power functional. Ultimately, analytical solution of total power functional is obtained. By minimizing the power functional, the rolling force and torque, as well as the stress effective factor are obtained. The calculated results by the solutions of rolling torque and force are compared with those of experimental ones. Good agreement is found and the maximum error percentage between them is less than 15.5%.