Shear Buckling Form of a Circular Sandwich Ring under Uniform External Pressure

The problem on the stability of a circular sandwich ring under uniform external pressure is considered. It is shown that, along with a mixed flexural-shear buckling form (BF), a pure shear BF can be realized in the core. This form is accompanied by rotation of the load-carrying layers at the cost of the transverse shear strain (constant in the circumferential direction) in the core. It is found that the simplified equations of the theory of shallow shells cannot describe this nonclassical BF. The critical loads corresponding to the shear BF may prove to be smaller than the critical load of the classical mixed flexural BF for a circular sandwich ring of medium thickness at a low shear modulus of the core. The results obtained contribute greatly to the understanding of buckling mechanisms of sandwich structures and supplement the existing classification of BFs.     

Geometric Ergodicity of Metropolis-Hastings Algorithms for Conditional Simulation in Generalized Linear Mixed Models

Conditional simulation is useful in connection with inference and prediction for a generalized linear mixed model. We consider random walk Metropolis and Langevin-Hastings algorithms for simulating the random effects given the observed data, when the joint distribution of the unobserved random effects is multivariate Gaussian. In particular we study the desirable property of geometric ergodicity, which ensures the validity of central limit theorems for Monte Carlo estimates.     

非理想二元表面活性剂复配增效理论的进一步研究

在Rubingh与Rosen 提出非理想二元表面活性剂复配增效条件基础上,利用相分离模型和正规溶液理论,导出了体系降低表面张力的能力增效条件βs-βm<0,及最佳摩尔分数α1*、最低表面张力γ*cmc12和γ*cmc处对应的临界胶束浓度cmc*12.通过作三条γ～logc曲线或两条γ～logc曲线加上一个cmc值的方法,对C12NMe3Br～C12SO4Na、 C12NMe3Br～C8SO4N两种复配体系进行验证,计算结果与实验结果相符.     

Hydrocarbon/hydrogen mixed gas permeation in poly(1-trimethylsilyl-1-propyne) (PTMSP), poly(1-phenyl-1-propyne) (PPP), and PTMSP/PPP blends

The gas permeation properties of poly(1-trimethylsilyl-1-propyne) (PTMSP), poly(1-phenyl-1-propyne) (PPP), and blends of PTMSP and PPP have been determined with hydrocarbon/hydrogen mixtures. For a glassy polymer, PTMSP has unusual gas permeation properties which result from its very high free volume. Transport in PPP is similar to that observed in conventional, low-free-volume glassy polymers. In experiments with n-butane/hydrogen gas mixtures, PTMSP and PTMSP/PPP blend membranes were more permeable to n-butane than to hydrogen. PPP, on the other hand, was more permeable to hydrogen than to n-butane. As the PTMSP composition in the blend increased from 0 to 100%, n-butane permeability increased by a factor of 2600, and n-butane/hydrogen selectivity increased from 0.4 to 24. Thus, both hydrocarbon permeability and hydrocarbon/hydrogen selectivity increase with the PTMSP content in the blend. The selectivities measured with gas mixtures were markedly higher than selectivities calculated from the corresponding ratio of pure gas permeabilities. The difference between mixed gas and pure gas selectivity becomes more pronounced as the PTMSP content in the blend increases. The mixed gas selectivities are higher than pure gas selectivities because the hydrogen permeability in the mixture is much lower than the pure hydrogen permeability. For example, the hydrogen permeability in PTMSP decreased by a factor of 20 as the relative propane pressure (p/p_sat) in propane/hydrogen mixtures increased from 0 to 0.8. This marked reduction in permanent gas permeability in the presence of a more condensable hydrocarbon component is reminiscent of blocking of permanent gas transport in microporous materials by preferential sorption of the condensable component in the pores. The permeability of PTMSP to a five-component hydrocarbon/hydrogen mixture, similar to that found in refinery waste gas, was determined and compared with published permeation results for a 6-Å microporous carbon membrane. PTMSP exhibited lower selectivities than those of the carbon membrane, but permeability coefficients in PTMSP were nearly three orders of magnitude higher. © 1996 John Wiley & Sons, Inc.     

K-Co-Mo-C催化剂的制备及其合成低碳醇的性能

 采用溶胶-凝胶法制备了含碳的K-Co-Mo-C催化剂,通过改变碳前驱体的添加量以获得不同的碳含量,测试了催化剂上合成气制混合醇的性能. 结果表明,适量的残留碳增加了催化剂中活性相的分散度,提高了合成醇的收率和选择性,但过量的碳导致烃的选择性增加而醇的选择性下降,这是由于随着碳前驱体添加量的增加,催化剂中的Mo物种更容易被还原成金属态. 与惰性气氛中焙烧的样品不同,空气中焙烧的样品中没有碳的存在,氧化物组分容易生成难以还原的物相,合成醇活性较低. 含碳量为2.8%的样品具有最大的比表面积和孔体积,同时也具有最高的醇收率和选择性. 惰性气氛中高温焙烧样品导致其合成醇活性明显降低,但同时高碳醇的选择性增加.     

AN ADAPTIVE UNSTRUCTURED TRI-TREE ITERATIVE SOLVER FOR MIXED FINITE ELEMENT FORMULATION OF THE STOKES EQUATIONS

An iterative adaptive equation solver for solving the implicit Stokes equations simultaneously with tri-tree grid generation is developed. The tri-tree grid generator builds a hierarchical grid structure which is mapped to a finite element grid at each hierarchical level. For each hierarchical finite element grid the Stokes equations are solved. The approximate solution at each level is projected onto the next finer grid and used as a start vector for the iterative equation solver at the finer level. When the finest grid is reached, the equation solver is iterated until a tolerated solution is reached. In order to reduce the overall work, the element matrices are integrated analytically beforehand. The efficiency and behaviour of the present adaptive method are compared with those of the previously developed iterative equation solver which is preconditioned by incomplete LU factorization with coupled node fill-in. The efficiency of the incomplete coupled node fill-in preconditioner is shown to be largely dependent on the global node numbering. The preconditioner is therefore tested for the natural node ordering of the tri-tree grid generator and for different ways of sorting the nodes.     

正常金属-铁磁绝缘层-dx2-y2+idxy混合波超导结中的磁散射对隧道谱的影响

在正常金属铁磁绝缘层dx2-y2 idxy混合波超导隧道结中,考虑到铁磁绝缘层的磁散射和界面的粗糙散射效应,运用BogoliubovdeGennes(BdG)方程和BlonderTinkhamKlapwijk(BTK)理论,计算了隧道结中的准粒子传输系数和微分电导.研究表明:(1)磁散射和界面粗糙散射均可以压低电导峰,其中磁散射能使电导峰滑移,而粗糙界面散射却能阻止这种滑移,且两散射的共同作用可抑制由混合波两序参数的幅值比不同所导致的电导峰滑移;(2)随铁磁层离超导表面距离的增加,隧道谱在零偏压处由凹陷变成了零偏压电导峰,继而又演化为凹陷中的中心峰;(3)当铁磁层离开超导表面有若干相干长度时,隧道谱中将呈现一些子能级谐振峰.     

拟线性双曲组一类非局部混合初-边值问题的半整体C1解

在研究拟线性弦振动方程带第三类边值问题的精确边界能控性时,出现了拟线性双曲组一类非局部混合初-边值问题.论文先证明该类非局部混合问题局部C1解的存在惟一性,并考察其存在高度的性质,进而利用一致先验估计证明半整体C1解的存在惟一性,并以此为基础研究相应问题的精确边界能控性,最后为便于应用,将论文的结论写成了可化约方程组的情形.     

乙酸-三氟化硼乙醚混合质子电解质

乙酸和三氟化硼乙醚(BFEE)本身离子电导率很低, 向乙酸中加入少量BFEE可以形成良好的混合质子电解质溶液. 随着乙酸中BFEE浓度的变化, 混合电解质溶液的离子电导率迅速上升, 当BFEE摩尔分数为65%时具有最大值, 达5800 μS/cm. 红外光谱和¹H NMR研究表明混合电解质中的主要导电离子为CH₃COOH₂^＋和CH₃COOBF₃^－.     

A Positive Solution of Mixed Non-Linear Fractional Delay Differential Equations with Integral Boundary Conditions

In this paper, we study mixed non-linear fractional delay differential equations with integral boundary conditions. We obtain an equivalence result between the proposed problem and non-linear Fredholm integral equation of the second kind. Further, we establish existence and uniqueness of positive solutions for the problem using Guo-Krasnoseleskii’s fixed point theorem and Banach contraction principle.