Fixed point theorems on fuzzy normed linear spaces

In this paper, definitions of strongly fuzzy convergent sequence, l-fuzzy weakly convergent sequence and l-fuzzy weakly compact set are given in a fuzzy normed linear space. The concepts of fuzzy normal structure, fuzzy non-expansive mapping, uniformly convex fuzzy normed linear space are introduced and fixed point theorems for fuzzy non-expansive mappings are proved.     

Approximate fixed point sequence for a finite family of asymptotically pseudocontractive mappings

Let E be a real Banach space and K be a nonempty, closed, convex, and bounded subset of E. Let T_i:K→K, i=1,2,…,N, be N uniformly L-Lipschitzian, uniformly asymptotically regular with sequences {ε_n}, and asymptotically pseudocontractive mappings with sequences , where {ε_n} and , i=1,2,…,N, satisfy certain mild conditions. Let a sequence {x_n} be generated from x₁K by

for all integers n1, where T_n=T_n(modN), {u_n} be a sequence in K, and {λ_n}, {θ_n} and {μ_n} are three real sequences in [0,1] satisfying appropriate conditions; then x_n−T_lx_n→0 as n→∞ for each l{1,2,…,N}.     

钢筋混凝土迭合梁斜截面抗裂试验研究

通过１２根钢筋混凝土迭合梁在多点等代均布荷载作用下斜截面受力性能的试验，研究了预制截面与迭合截面高度比和一期荷载作用跨中弯矩与预制截面极限承载弯矩之比对钢筋混凝土梁斜截面抗裂性能的影响规律。在原钢筋混凝土梁斜截面抗裂计算理论模式基础上，提出了均布荷载作用下钢筋混凝土迭合梁斜截面抗裂计算方法。     

一类单输入线性切换系统的可镇定性研究

考虑一类单输入线性切换系统的可镇定性问题,利用变结构控制对系统进行降维．通过对系统滑动模态的研究,得出了系统一致可镇定的充分条件和系统存在容许镇定策略的充分条件．给出了具体的容许镇定策略集合,并对二阶切换系统给出了详细的容许镇定策略．仿真实例验证了所提出结论的有效性．     

集聚纺车间地沟均匀吸风设计方法探讨

探讨集聚纺车间地沟均匀吸风设计方法。介绍了地沟均匀吸风的设计原理和实现均匀吸风的措施;分析了变风量系统对均匀吸风性能的影响;介绍了变风量均匀吸风系统的设计;计算分析表明:回风沟道应采用变截面分段设计法,吸风口采用条缝型形高速自适应风口,吸风口面积之和与沟道截面积之比不大于0.4,前后吸口的吸风不均匀程度可以控制在15%以内。认为:采用支沟道变截面分段设计能较好地控制吸风的均匀性,可以保证集聚纺车间气流均匀稳定。     

Generalized projection method for a variational inequality system with different mapping in Banach spaces

The approximate solution of a system for variational inequality with different mapping in Hilbert spaces has been studied, based on the convergence of projection methods. However, little research has been done in Banach space. The primary reason is that projection mapping lacks preferable properties in Banach space. In this paper, we introduce generalized projection methods. By using these methods, the results presented in this paper have extended the main results of Chang et al.’s and Huang and Noor’s recent works [S.S. Chang, H.W. Joseph Lee, C.K. Chan, Generalized system for relaxed cocoercive variational inequalities in Hilbert spaces, Appl. Math. Lett. 20 (2007) 329–334; Zhenyu Huang, Muhammad Aslam Noor, An explicit projection method for a system of nonlinear variational inequalities with different (γ,r)-cocoercive mappings, Appl. Math. Comput. 190 (2007) 356–361] from Hilbert spaces to Banach space.     

The use of channel flow cells for electrochemical kinetic studies in high temperature aqueous solutions

It has been shown that, for the case of one-step reactions of arbitrary order, the relationship between the average current density and the limiting current density on a working electrode mounted on the inner radius of an annular flow channel of arbitrary length obeys, with great accuracy, the same relations as does a reaction on a uniformly accessible surface. This allows us to combine the advantages of non-uniformly accessible surfaces (high sensitivity, and no need to use rotating contacts) with the advantages of uniformly accessible surface systems (simple treatment of experimental data). This feature can be very important when investigating systems at high temperatures and pressures, where RDEs are difficult to employ. Using this approach, and by employing previously measured polarization data, the kinetic parameters (exchange current density and anodic transfer coefficient) for the oxidation of hydrogen on platinized nickel in 0.1 M NaOH + 0.7 × 10⁻³ m H₂ at temperatures between 25 °C and 300 °C have been derived. The anodic transfer coefficient is found to be almost temperature independent with a value of 0.43. The exchange current density displays Arrhenius behavior with temperature, increasing from 1.9 × 10⁻⁴ A cm⁻² at 25 °C to 3.9 × 10⁻³ A cm⁻² at 300 °C.     

3D elasticity analysis of sandwich panels with graded core under distributed and concentrated loadings

Sandwich panels are a type of panel offering weight savings over standard single layer panels, whilst remaining both strong and stiff. However, due to the mismatch of properties between the face sheets and the core, stress concentrations can occur at the face sheet/core interfaces, often leading to delamination. One possible solution to this problem is the introduction of a functionally graded core—a core in which the properties vary gradually from the face sheets to the centre, eliminating any abrupt changes in properties. This paper presents a three-dimensional elasticity analysis for a sandwich panel with stiffness of the core graded in the thickness direction, on the basis of the recently developed 3D elasticity solution. A comparative study of panels with homogeneous and functionally graded cores is carried out to examine the effect of introducing a graded core on the stress and displacement fields under five different loading configurations (uniformly distributed, patch, point, hydrostatic and line).     

Finite element analysis of steel-concrete-steel sandwich beams

The static behaviour of Bi-Steel beams was simulated using a finite element model. The model was compared to test results showing good agreement. It was then used in parametric studies of transverse shear capacity and uniformly distributed load cases of Bi-Steel beams. It was possible to isolate the transverse shear failure mode and prevent other failure modes from using the FE model. This enabled the comparison and verification of the proposed design equations for transverse shear. Based on parametric studies, modifications to the design method were also proposed to accommodate udl cases.     

Performance Assessment of Processing and Delivery Times for Very Large Scale Integration Using Process Capability Indices

Process quality and delivery time have received increasing attention in the highly competitive electronics industry. Many studies have proposed process capability indices (PCIs) to assess process effectiveness. However, methods to assess the performance in terms of processing and delivery times of products have seldom been discussed. The conventional PCIs can no longer assess the processing time (PT) and delivery time (DT) performance objectively or identify the relationship between PCIs and the non-conformance rate of PT or the conformance rate of DT. Lacking an effective performance index or an objective testing procedure to assess process/product performance will lead to inefficiency or a high manufacturing management overhead cost. Therefore, this study offers effective performance indices (i.e., PCIs) to assess the PT and DT performance for very large scale integration (VLSI). The uniformly minimum variance unbiased (UMVU) estimators of the proposed PCIs are derived under the assumption of a normal process distribution. The PCI estimators are then employed to construct a one-to-one relationship between the PCIs and the conformance rate of DT or non-conformance rate of PT, respectively. Finally, hypothesis testing procedures for the proposed PCIs are also developed. The testing procedure can be used to determine whether DT or PT can satisfy a customer’s requirements. ID="A1" Correspondence and offprint requests to: Dr K. S. Chen, National Chin-Yi Institute of Technology, 35, Lane 215, Sec. 1 Chung Shan Road, Taiping, Taichung, 411 Taiwan. E-mail: kschen@chinyi.nci-t.edu.tw