Numerical analysis of the wrinkling behavior of thin membranes

Archive of Applied Mechanics - Membranes are widely applied in the large-span buildings and spatial deployable structures. They are prone to wrinkle under compression due to their small bending...     

N2与CO2对合成气爆炸特性影响的实验研究

为了研究惰性气体（氮气及二氧化碳）对合成气爆炸特性的影响，利用20 L球形爆炸仪器，开展不同体积分数氮气与二氧化碳作用下不同当量比合成气的爆炸实验，从爆炸峰值压力、爆炸压力到达峰值时间、爆炸指数方面分析惰性气体对合成气爆炸特性的影响。研究结果表明:惰性气体体积分数的增加会降低合成气的爆炸压力和爆炸指数，推迟爆炸压力到达峰值的时间；在相同体积分数下，CO₂比N₂能更有效地降低合成气的爆炸峰值压力和爆炸指数，减小爆炸反应的剧烈程度，CO₂在抑制合成气爆炸方面比N₂的效果明显。     

Influence of thermal and UV treatment on the polypropylene/graphite composite

Electrically conductive polypropylene/graphite (PP/graphite) composites were prepared via blending granulated PP with maleic anhydride grafted PP and natural graphite. Electrical conductivity of prepared samples containing either 65, 70, or 75 wt% of graphite was measured and the most conductive sample containing 75 wt% of graphite was exposed to UV irradiation for 1 and 24 h or thermally treated at 170 °C for 1 h. The influence of thermal and UV exposure on the structural and electrical changes in such treated samples was studied. Local current measurements on the surface were made using scanning spreading resistance microscopy and morphology of the surface was studied by atomic force microscopy. X-ray diffraction analysis, infrared and Raman spectroscopy were also used for the structural characterization. Properties of treated and untreated samples are compared and differences are discussed.     

Nucleophilic imidoesterification of dicarbonyl compounds with cyanatobenzenes through C-C bond formation

Under neat conditions,an efficient method for synthesis of imidoesters has been developed using cyanatobenzenes and dicarbonyl compounds.Nucleophilic addition spontaneously occurred between the two kinds of materials at room temperature with yields of up to 90%.A mechanism directed towards to the imidoester formation has been proposed.     

Weak attractors for the dissipative fractional Heisenberg equation

In this short paper, we consider the long time behaviors of the fractional Heisenberg equation and the existence of a global weak attractor is proved for the shift dynamics in the path space. The key ingredient is some new type of commutator structure introduced in this paper, which seems indispensable in proving the compactness of the dynamics. The technique introduced in this paper may also be useful to other fractional order partial differential equations.     

试纸法快速测定高粱中单宁的研究

探讨了试纸与单宁反应的最佳条件,提出了用Fe(SCN)3-壳聚糖试纸法快速检测高粱中单宁的方法。结果表明,在pH 7.0～9.0的条件下,单宁与试纸上的显色物质反应生成紫红色稳定络合物,试纸颜色深浅与样品中单宁浓度成正比,通过与标准色阶图谱比较确定单宁浓度。试纸最低检出限达1.0μg/mL,5 min即可实现检测。应用于7种高粱样品中单宁含量的测定,并通过与国标法测定结果比较,本方法可实现半定量检测,已应用于高粱样品中单宁的实时、快速检测。     

On existence and essential components for solution set for system of strong vector quasi-equilibrium problems

In this paper, we study the system of strong vector quasi-equilibrium problems without assuming that the dual of the ordering cone has a weak* compact base. We show the existence and essential components of solution set for system of strong vector quasi-equilibrium problems by defining the best-reply mapping.     

Homogenization of parabolic problem with nonlinear transmission condition

In this paper, we investigate the periodic homogenization of nonlinear parabolic equation arising from heat exchange in composite material problems. This problem, defined in periodical domain, is nonlinear at the interface. This nonlinearity models the heat radiation on the interface, which constitutes the transmission boundary conditions, between the two components of the material. The main challenge is, first, to show the well-posedness of the microscopic problem using the topological degree of Leray–Schauder tools. Then, we apply the two scale convergence to identify the equivalent macroscopic model using homogenization techniques. Finally, in order to confirm the efficiency of the homogenization process, we present some numerical results obtained via finite element approximation.     

Global synchronization of weighted cellular neural network with time-varying coupling delays

New sufficient conditions are derived to guarantee the global synchronization of the weighted cellular neural network with multiple time delays. Based on Lyapunov theory, this paper proposes an adaptive feedback controlling method to identify the exact topology of a rather general weighted cellular neural network system with time-varying delays and then considers the synchronization of the neural network with different nodes dynamics. The parameters in this paper are very few and experiments show that the methods presented in this paper are of high application in global synchronization.     

A mathematical model for the admission process in intensive care units

A mathematical model is given for the admission process in Intensive Care Units (ICUs). It is shown that the model exhibits bistability for certain values of its parameters. In particular, it is observed that in a two-dimensional parameter space, two saddle-node bifurcation curves terminate at a single point of the cusp bifurcation, creating an enclosed region in which the model has one unstable and two stable states. It is shown that in the presence of bistability, variations in the value of parameters may lead to undesired outcomes in the admission process as the value of state variables abruptly changes. Using numerical simulations, it is also discussed how such outcomes can be avoided by appropriately adjusting the parameter values.