Unexpected products of the allyldiethylamine hydroformylation homogeneously catalyzed by rhodium complexes

Attempts to carry out the hydroformylation of allyldiethylamine homogeneously catalyzed by rhodium complexes led to unexpected formation of N,N,N,N-tetraethyl-1,4-diaminobutane and 4-(diethylamino)-1-butanole as final products. The role of the catalyst on the product formation and the reaction mechanism are briefly discussed.     

On the probability theory on MV algebras

 The paper contains a review of some results concerning probability theory on MV algebras (laws of large numbers, central limit theorem, martingale convergence theorem). Also some algebraic and methodical aspects are discussed.     

Observation of a half-quantum-flux periodicity pattern in an rf SQUID with small critical currents

We have found experimentally that rf SQUID's working in a nonhysteretic mode with small critical currents give exactly at resonance and at very low rf bias a triangular pattern with a period equal to half of one elementary quantum of magnetic flux. We discuss a possible explanation of this peculiar result.     

Discrete (n + 1)-valued states and n-perfect pseudo-effect algebras

We give sufficient and necessary conditions to guarantee that a pseudo-effect algebra admits an (n + 1)-valued discrete state. We introduce n-perfect pseudo-effect algebras as algebras which can be split into n + 1 comparable slices. We prove that the category of strong n-perfect pseudo-effect algebras is categorically equivalent to the category of torsion-free directed partially ordered groups of a special type.     

Analysis and DEM simulation of granular material flow patterns in hopper models of different shapes

By using the discrete element method (DEM) a comparison and observations on material flow patterns in plane-wedged, space-wedged, and flat-bottomed hopper were accounted for. Numerical results obtained by combining data of individual particles, statistical processing of particle assemblies and evaluation of the field variables provided the essential characteristics for different regimes of the discharge flow (within steady or unsteady state of flow) and the differences in differently shaped hoppers due to different microscopic inter-particle friction. For validation of the performed simulations, velocity patterns developed in three-dimensional flat-bottomed hopper containing 20,400 pea grains were also analysed. To represent the continuum by avoiding the local effects produced by the individual grains, the simulation results were focused on the mean velocity distributions with data smoothening. The effect of rolling resistance on granular material flow was also considered.     

Determination of optimal cutting edge geometry on a stamped orthotropic circular electrical steel sheet

Today engineers involved in the stamping process used for high-volume production of rotor and stator laminations are faced with a great challenge to achieve extremely narrow dimensional and geometrical tolerance on their products. Because materials are produced by different suppliers, adjustments of technological parameters to the emerging differences are required to maintain the high quality of products. An upgraded engineering method was developed in which electrical steel sheet of semi-finish grade was not treated traditionally, but as a 3D body with orthotropic material behaviour. The round profile of the cutting edge was studied from the experimental and numerical point of view. If the completely round punch was used, the profile of the cutting edge appeared as a non-round shape. With additional FEM analyses a new profile of punch was designed as a non-round shape to be able to provide much better circularity. FEM simulation showed that 10 times lower profile deviations were found on the workpiece shaped by the new cutting element profile.