Weighted ergodic theorems for Banach-Kantorovich lattice Lp(∇^,μ^)L_{p}(\hat{\nabla},\hat{\mu})

In the present paper we prove weighted ergodic theorems and multiparameter weighted ergodic theorems for positive contractions acting on $L_p(\hat{\nabla},\hat{\mu})$. Our main tool is the use of methods of measurable bundles of Banach-Kantorovich lattices.Comment: 11 page

A new dynamical mechanism of incomplete fusion in heavy-ion collision

The incomplete fusion has been proved as the formation and emission of the $\alpha$ particle by the increase in the rotational energy of the very mass-asymmetric dinuclear system. The results of the dinuclear system model have confirmed that the incomplete fusion in heavy-ion collisions occurs at a large orbital angular momentum ($L > 30 \hbar$) due to the strong increase of the intrinsic fusion barrier.Comment: 6 pages, 11 figure

Ultrasonic treatment by an intermediate striker: Tool dynamics and material improvement

© 2015 Elsevier Inc. All rights reserved. A dynamic model of the ultrasonic impact tool with an intermediate striker is considered as a two-mass system with two impact joints. Direct measurements of the period of the sequence of impact pulses and duration of a single impact of striker upon the treated surface are assumed as a basis for theoretical description. Amplitude-frequency and phase-frequency characteristics of the impact oscillations of ultrasonic converter and striker are calculated with the use of methods of the theory of vibration-impact systems. An oscillatory stability of ultrasonic vibrations of striker with the rebounding from the converter tip and the surface being treated (impact mode) as well as in-phase ultrasonic vibrations without detachment of striker from the both surfaces is investigated. It is shown, that the amplitude of the impact oscillation of striker weakly depends on the pressing force in the sufficiently wide limits of variation of the pressing force value. Hardening of treated material and redistribution of residual weld stresses is investigated with the use of the metallography methods. The beneficial compressive stresses are generated (induced) inside the narrow surface layer in the result of fine crushing of crystalline grains of metal

Impact vibrations of ultrasonic multistriker hand tool

© Springer International Publishing Switzerland 2015. The impact vibrations of the multi-striker ultrasonic hand tool are investigated theoretically and experimentally. The lightweight intermediate strikers are placed into the gap between the end-face of the high-power ultrasonic converter and the specimen being treated. The high-frequency impact force was measured by the calibrated piezoelectric sensor. The dynamical drift of the tool casing was measured by the linear displacement gauge. Both signals were simultaneously recorded with the use of the two-channel digital storage oscilloscope. The scanpictures allow to determine the duration of the single impact pulse and its peak value, frequency of the pulse sequence, etc. It was observed, that slow oscillations of the tool casing are synchronously accompanied by the periodical changes of impact force. The dynamic model of the high-frequency impact treatment was constructed by the methods of theory of the vibro-impact systems. The induced impact stresses were calculated in the frames of the Hertz contact approximation with the use of experimental data. It is shown that the impact stress value reaches the yield point of material being treated. The ultrasonic impact processing can be interpreted as a cyclic alternation of setting-up and failure of the vibro-impact oscillation of the striker inside the variable gap. The changes in the mechanical properties and texture were analyzed by the metallographic methods. Metal hardening and creation of the profitable residual stresses on the surface of the specimen were observed

Conditional expectations and martingales in noncommutative Lp-spaces associated with center-valued traces

In this paper we prove the existence of conditional expectations in the noncommutative Lp(M,Φ)-spaces associated with center-valued traces. Moreover, their description is also provided. As an application of the obtained results, we establish the norm convergence of weighted averages of martingales in noncommutative Lp(M,Φ)-spaces

Rheological properties of epoxy oligomers and their mixtures in a wide temperature range

The rheological properties of a series of epoxy-diane and epoxy-novolac oligomers and active diluents were studied in a wide temperature range. The activation energies of their viscous flow in the regions of low and high temperatures were calculated. In a series of active diluents, the efficiency of decreasing viscosity of their mixtures with epoxy oligomers correlates with the glass transition temperature of the diluent. © 2014 Springer Science+Business Media, Inc

Effect of hot and cold severe deformation by extrusion on the properties of lead and aluminum alloys

© 2015, Pleiades Publishing, Ltd. The study of the effect of severe plastic deformation (SPD) by extrusion shows that the ductility of lead after several cycles of SPD increases significantly (3–4 times) as compared to as-cast samples. An aluminum alloy after this processing is hardened by a factor of 2.3–2.5, with ductility decreasing by 2.5–2.7 times, as compared to the as-delivered state

Innovative decisions at steel semifinished items metal restructuring in mechanical engineering

Kinds of defects in cast steel and their influence on properties of an alloy are resulted. Stability of structural heterogeneity and liquating phenomenon at the stage of technological restructuring of steel is shown. Decisions are offered on liquation of line and isle structural heterogeneity, preservation of a fine-grained structure and localization of separate metallurgical defects in steel products. © IDOSI Publications, 2013

Special aspects of preparation of microstructure images for parametrization of welding joints

The paper discusses the implementation areas of multifractal parameterization of microstructures for metallurgy and welding purposes. The objects of investigation are welds made by argon arc welding in the austenitic steel parts. Radiographic, spectral, microstructure analysis, parameterization of microstructures and Vickers hardness test were used. The design data were acquired with MFRDrom software on the basis of the analysis of microstructure images of welding joints made from austenitic steel. It was determined how the preparation defects of thin sections (grind and polish marks) and welding defects such as pores, cracks, influence the results of parameterization of welding joint microstructures. The relations between hardness and multifractal parameters of uniformity and orderliness were established. © IDOSI Publications, 2014

VAR - analysis of Global financial economic crisis impact on public budget and unemployment: evidence from the economy of the Kyrgyz Republic

The Global financial crisis hit the economy of the Kyrgyz Republic by the third wave of its transmission in the early of 2009. The article examines the impact of the Global financial economic crisis on the public budget and unemployment of the Kyrgyz Republic. We analyzed the transmission of the crisis on the public budget firstly and its effect on unemployment level by using the vector autoregression approach (VAR) and quarterly data for 2005-2013 within the framework of IS-LM model for small open economies with floating exchange rate. There is an inverse relationship between the public budget and remittances inflow, liquidity level, volume of deposits, and exchange rate. As a result of the study, the fall in remittances inflows, liquidity level of the banking system, depreciation of the national currency lead to an increase in public revenue. Therefore, the increase in public spending during the crisis period, with the aim of unemployment reduction, may be considered as a crucial policy. The study result allows to policy-makers to exactly know what channels of transmission mechanism transfer the Global crisis on the public budget and its effect on unemployment level of the republic in order to undertake anticrisis macroeconomic policy. The final result of the study indicates that the increase of unemployment level by 1 % requires the increase of public spending by 0.63 %. © Copyright 2005-2016 Institute of Economics, the Ural branch of the RAS. All rights reserved