A load dispatch method using fractional programming and semidefinite programming

This paper describes a load dispatch method which minimizes power cost—[fuel cost]/[electric output]—for a power system with thermal plants and energy storage facilities. The proposed method employs fractional programming to convert a minimization problem with fractional objective function to a series of quadratic minimization problems, and semidefinite programming to solve converted problems. The method provides the optimum time‐dependent power output/input and storage level of energy storage facilities as well as time‐dependent power output of thermal plants. The method has been applied to a power system with five thermal plants, two energy storage facilities of various performances, and five load demands. The optimum load scheme of four time mesh points is obtained for the thermal plants and energy storage facilities. The fractional programming successfully converges the optimal scheme through a few iterations. The semidefinite programming deals with a variable matrix of 164 dimensions, and 185 inequality constraints. © 2001 Scripta Technica, Electr Eng Jpn, 138(2): 49–58, 2002     

粘弹性圆柱壳在轴向恒压下的动力稳定性

基于Timoshenko-Mindlin假设,得到考虑粘弹性的各向同性圆柱壳及纤维增强正交铺设层合圆柱壳在轴向恒压下的动力学方程。文中对两端简支的圆柱壳进行了分析,依Laplace变换,导出动力稳定的特征方程,由Routh-Hurwitz判据建立动力稳定性条件,对两类圆柱壳讨论了横向剪切变形的影响。     

Effect of crack-growth mechanism on the prediction of fracture load of adhesive joints

This paper presents observations regarding the cracking behavior of tensile-loaded structural adhesive joints. Experiments showed that fracture occurred by the development and propagation of a damage zone, rather than a single, sharp crack, and that the presence of the adhesive spew fillet did not affect the fracture load of the adhesive joints studied. For joints bonded with the mineral-filled epoxy Cybond 4523GB (American Cyanamid), there was approximately 5 mm of subcritical crack propagation prior to final fracture. Fracture-load predictions based on the initial uncracked geometry made in previous papers were unaffected by this small change in geometry. For joints bonded with the rubber-toughened epoxy Permabond ESP 310, approximately 50 mm of subcritical crack propagation was observed. It was again found that predictions made in previous papers on the basis of the initial geometry gave a good estimate of the final fracture load even though this subcritical crack propagation significantly altered the geometry, and thus the applied energy release rates. The effect of shear deformations of the adherends was also investigated, and it was found that shear deformations could be neglected in engineering calculations for joints subject to remote tensile loading.     

带有给定切线多边形的保形有理三次B样条曲线

本文给出了带有给定切线多边形的保形有理三次Ｂ样条曲线，其部分权因子可通过选取切点的位置来确定，由此方法还导出了保形有理三次Ｂ样条插值曲线，最后，给出了两个例子。     

转向柱管承载能力的试验研究

在分析转向柱管花键部位应力集中情况的基础上,通过对某厂生产的转向柱管扭转破坏的试验研究,得到如下结论:①转向柱管的承载能力与其外花键齿与方向盘中心内花键齿之间的非接触区长度有关,以花键端部过渡圆弧的直径大小为宜;②安装方向盘总成时所施加在安装螺母上的拧紧力矩在70N.m左右时,转向柱管的承载能力最大。     

EDA介质快慢横波时差和振幅-方位曲线的实验分析

在含垂直定向裂隙的各向异性（EDA）介质中，地震快、慢横波传播的时差及振幅随裂隙（缝）方位变化曲线能反映裂缝的密度、走向和介质的性质，这对多波地震资料的处理、解释有着重要意义。但受观测条件限制以及噪声的影响，在横波分裂记录上，同相轴往往会出现扭曲、倾斜和不规则抖动等现象，给快、慢横波时差的求取和振幅-方位曲线的绘制带来误差。设计了EDA介质物理模型，并利用岩石超声波测量系统获得了快、慢横波记录；分析记录可知，在相同传播方向的分裂横波具有走时和传播速度不随裂缝方位变化的恒定性特征；以此为基础，提出了利用平均法和瞬时振幅法来计算快、慢横波的走时时差和绘制振幅-方位曲线，以提高精度。利用物理模型实验得到的2个正交横波（S1波与S2波）的快、慢横波记录，分别用平均法和瞬时振幅法计算了快、慢横波走时的平均值、时差和均方差，并绘制了相应的振幅一方位曲线。结果表明，采用上述2种方法，消除了同相轴扭曲、倾斜和不规则抖动等对计算结果的影响，时差的计算是可靠的，振幅一方位曲线的绘制是合理的。     

Phase equilibria of quasi-binary systems consisting of multicomponent polymers 1 and 2. IV: Poly(ethylene oxide)/poly(propylene oxide) systems

To confirm the reliability of the theory of phase equibria of multicomponent polymer 1/multicomponent polymer 2 systems (i.e. quasi-binary systems) and the method of computer experiment based on this theory (Brit. Polym. J., 23 (1990)285; 23 (1990)299; Polym. Int., 29 (1992)219), could point curves (CPC), two-phase volume ratios ( R ) and critical solution points (CSP) have been determined experimentally for the quasi-binary mixtures of poly(ethylene oxide) (M¯_w = 647, M¯_w/M¯_n = 1.15; M¯_w and M¯_n, the weight-average and numberaverage molecular weights, respectively) and poly(propylene oxide) (M¯_w = 2028, M¯_w/M¯_n = 1.08; and M_w = 2987, M_w/M_n = 1.13). The hydroxyl end groups of both polymers were methoxylated in advance by the Cooper & Booth method (Polymer, 18 (1977)164). The thermodynamic interaction parameter between both polymers, χ₁₂, and the concentration dependence parameters for the above quasi-binary systems were determined by the method proposed in a previous paper (Brit. Polym. J., 23 (1990)299). CPC, R and CSP values calculated on the basis of the theory are in good agreement with the values determined experimentally.     

Geometry-Dependent R-Curve for Quasi-Brittle Materials

Fracture of quasi-brittle materials such as ceramics and cement-based materials can be described by an R -curve, defined as fracture resistance. The R -curve can be constructed as the envelope of the strain energy release rates ( G ). In this study, R -curve is defined as an envelope of G -curves obtained by varying the dimensions of identical specimens, while keeping the geometry and the initial flaw size constant. By approximating the G -curve with a second-order function of the crack length, a simple formulation of the R -curve is derived by solving a differential equation. Three parameters are needed for the proposed R -curve. These parameters can be obtained by testing a notched-beam specimen and using linear elastic fracture mechanics. The proposed R -curve simulates well the geometry dependency as well as other characteristics of the fracture response of quasi-brittle materials.     

条形荷载下饱和均质地基曼德尔效应研究

本文通过研究biot固结理论,探讨了曼德尔效应产生的原因,并利用大型非线性有限元软件adina进行数值分析,得出条形荷载下饱和均质地基固结的数值解。并通过计算分析,得出了影响曼德尔效应的因素。     

渐变填充的性质和算法

本文着重研究了Jordan数字流形上的渐变填充,设计了紧缩渐变填充算法和分裂渐变填充算法;并证明:如果D是离散网格空间上的Jordan凸集,那么存在O(|D||D|)时间的紧缩算法去做渐变填充.最后,我们对Jordan正方形区域、三角域和圆盘,分别给出了它们各自的O(|D|log_2|D|)时间的分裂渐变填充算法.