Robustness issues in optimal control of unstable plants

This paper presents a robustness analysis of the optimal solution of the step tracking problem in a one-degree of freedom control architecture, for the discrete-time multivariable (MIMO) case. It is shown that the resulting closed loop becomes arbitrarily fragile, i.e. the sensitivity peak becomes arbitrarily large, for certain reference directions. The cause of this problem is that the optimal controller depends on the reference direction. The paper shows that this dependence can be eliminated with an alternative formulation of the optimal problem where the cost is averaged over all reference directions.     

Micromechanical modelling of ductile crack growth in the binder phase of WC–Co

This study focuses on numerical simulation of ductile failure in the Co binder phase of WC–Co hardmetal. The growth of edge cracks under mode I loading is considered. A computational micromechanics approach is taken where the Co binder ligaments are explicitly represented in finite element models. An embedding technique is employed. Crystal plasticity theory is used to represent plastic deformation in the Co ligaments. Crack propagation in the binder is simulated using an element removal technique based on a modified Rice and Tracey model for ductile void growth, and fracture resistance curves are generated. Parameter studies are performed for variations in microstructrual parameters such as numbers of Co ligaments ahead of the crack tip and local Co volume fraction. The importance of thermal residual stresses and finite element mesh density are also investigated.     

复合载荷下波纹管横向非线性弯曲摄动有限元法

采用新的小参数、将摄动法和有限元法相结合,研究了复合载荷作用下波纹管横向非线性弯曲的位移和应力分布。小参数为结构环向应变的均方根。将节点位移摄动展开,并以复合载荷的等效节点载荷为参考载荷,将其公共系数1摄动展开。由此划分载荷的级别、建立各级载荷和相应位移的关系,避免了常规的迭代运算。算例为一考虑自重的U型波纹管在注满水时的横向非线性弯曲问题。计算表明,波纹管的挠度和膜应力有非常显著的非线性效应;当最大挠度与壁厚之比达到5.1后本法将失效。本法在摄动小参数的选取和复合载荷的处理上有特色,能解决较大的挠度问题。     

金属包覆平板波导模式特性的有限元法分析

采用有限元法（FEM）分析了具有复数折射率的金属包覆介质波导的模折射率与模场分布情况。计算了具有损耗层的6层介质平板波导模折射率，并与解析解比较，二者有较好的一致性；分析了金属包覆3层平板波导中TM模折射率与波导芯厚度的变化关系，计算了金属包覆5层平板波导中TM模折秧经与金属层厚度的变化关系，并结合对模场分布的分析对模式进行了定性判断，给出了其模式演变过程。     

极大代数意义下幂矩阵的周期性特征

在分析一类离散事件动态系统的运行周期性及稳定性时,必须求解极大代数意义下矩阵的特征值。这一直被认为是十分困难的工作。直至目前为止,尚无一种能确定任一方阵全部特征值及特征向量的简易方法。本文对极大代数意义下任一方阵的幂矩阵的周期性特征进行了深入分析。本文的结果为寻求计算特征值及特征向量的新算法提供了十分有效的途径。     

Boundary knot method for 2D and 3D Helmholtz and convection–diffusion problems under complicated geometry

The boundary knot method (BKM) of very recent origin is an inherently meshless, integration‐free, boundary‐type, radial basis function collocation technique for the numerical discretization of general partial differential equation systems. Unlike the method of fundamental solutions, the use of non‐singular general solution in the BKM avoids the unnecessary requirement of constructing a controversial artificial boundary outside the physical domain. The purpose of this paper is to extend the BKM to solve 2D Helmholtz and convection–diffusion problems under rather complicated irregular geometry. The method is also first applied to 3D problems. Numerical experiments validate that the BKM can produce highly accurate solutions using a relatively small number of knots. For inhomogeneous cases, some inner knots are found necessary to guarantee accuracy and stability. The stability and convergence of the BKM are numerically illustrated and the completeness issue is also discussed. Copyright © 2003 John Wiley & Sons, Ltd.     

微量稀土元素在铸钢中的应用

综述了近几年稀土在铸钢中的应用研究现状 ,分析了稀土在铸钢中的作用机理及对铸钢性能的影响 ,指出了铸钢中加入稀土的原则 ,提出了今后的研究方向     

Solution of large deformation contact problems with friction between Blatz-Ko hyperelastic bodies

The present paper is devoted to the analysis of the contact problems with Coulomb friction and large deformation between two hyperelastic bodies. One approach to separate the material nonlinearity and contact nonlinearity is presented. The total Lagrangian formulation is adopted to describe the geometrically nonlinear behavior. Nondifferentiable contact potentials are regularized by means of the augmented Lagrangian method. Numerical examples are carried out in two cases: rigid-deformable contact and deformable-deformable contact with large slips. The numerical results prove that the proposed approach is robust and efficient concerning numerical stability.     

Quantitative assessment of preferential fatigue initiation sites in a multi‐phase aluminium alloy

Complex multi‐phase Al–Sn–Si alloys are commonly employed in the manufacture of small automotive plain bearings. The fundamental fatigue initiation behaviour of this class of alloys is currently not well understood. A range of analytical techniques were applied to investigate preferential initiation site location and to attempt to identify critical microstructural features. It was apparent from experimental studies that points of fatigue crack initiation are associated with the Si secondary phase. Using tessellation approaches and subsequently both adaptive numerical modelling and micro‐scale finite element modelling allowed the identification of features affecting the probability that a given Si phase would initiate a fatigue crack.     

非均匀材料破坏过程数值模拟的边界元法研究

用格子模型和统计分布模拟非均匀材料性质的初始分布,针对二维非均匀材料格子模型建立了重复多子域边界元法求解方程。通过把各行子域集成为亚子域,然后对链状排列的亚子域应用域转移矩阵法进行求解。由于使用的域转移矩阵法对内存的要求仅略大于一个亚子域的求解,以及重复多子域法只需要进行一次系数矩阵积分,因而可以大大提高求解的规模和效率。在此基础上,对非均匀脆性材料在简单载荷作用下的破坏过程进行了数值模拟。采用重复多子域法和域转移矩阵法,可以得到子域内高精度的连续应力分布,为进一步研究非均匀材料裂纹萌生、扩展和破坏过程提供了基础。