Off-line determination of relative orientation between the instrument frames of two strapdown inertial navigation systems during motion / A. V. Kozlov, N. A. Parusnikov. Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2010. ... The autonomous motion estimation of a relative misalignment for two strapdown inertial navigation systems is studied. ... Key words : strapdown inertial navigation system, inertial navigation, attitude determination, initial alignment. ...
Averaging the equations of small oscillations in a prestressed randomly inhomogeneous medium / V. A. Goncharuk, Yu. ... Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2010. ... This paper is concerned with the theoretical study of vibration propagation in anisotropic stochastic inhomogeneous media such as granulated material and porous media, in the area of high initial tension. An exact equation for the mean deformation of media is derived. ...
Charge formation in a dielectric liquid in the case of a weak electrolyte / V. N. Pribylov. Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2010. ... The problem of electric charge formation in a dielectric fluid placed between two electrodes is solved. Some simple formulas are derived for the electric charge density, the electric potential, and the current. Key words : ion, charge density, electric potential, current. ...
. The Hamilton nil-glamour of an affine algebraic plane / O. V. Gerasimova, Yu. P. Razmyslov. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2010. ? 1. P. 67-70 [Moscow Univ. Math. Bulletin. Vol. 65, N 1, 2010. P. 51-54]. Properties of finite nil-indexed polinomial vector fields on an affine plane are studied. Key words : affine plane, vector field, differentiation, nil-index, flat curve. ? 1/2010 . Toggle formulas format . (LaTeX / SVG)
Multigrid method application to solve the tire rolling problem / K. A. Lopukhin, S. V. Sheshenin. Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2010. ... This paper studies one geometric multigrid method in a rolling tire problem, finding components that make it reasonably effective for solving systems that are large enough for real simulation. ... Key words : multigrid method, tire simulation. ...
Stability of forced torsional vibrations of an equipped rod / G. L. Brovko, S. A. Kuzichev. Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2010. ... An equipped elastic rod model demonstrating the one-dimensional Cosserat continuum properties under longitudinal and rotary motion is considered. ... Key words : Cosserat continuum, equipped rod, longitudinal-torsional motions, free and forced vibrations, stability, divergence. ...
Archery simulation: Error estimation and comparison of numerical and experimental results / A. A. Luzhin. Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2009. ... The method proposed by the author and A.V. Zvyagin for the archery problem is verified. The method is briefly discussed. ... The numerical results are compared with experimental data. ...
Integral formulas in symmetric and asymmetric elasticity / V. I. Gorbachev. Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2009. ... Some new integral representations of the solutions to the problems of the moment and nonmoment elasticity theories for nonhomogeneous bodies are obtained using the solutions to the same problems for homogeneous ones. ... Key words : elasticity, composite, integral formulas, moment theories, homogenization. ...
Adaptive approximation of a filtration problem for a viscous compressible fluid in a fissured porous medium / N. S. Mel'nichenko. Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2009. ... A filtration problem for a viscous compressible multiphase fluid mixture in a porous medium is considered in the case of high degree anisotropy caused by fractions. ... Key words : adaptive approximation, subgrid method, L-method, fluid filtration, fractured media. ...
Quality testing algorithms for the manual reentry guidance of the Soyuz-TMA spacecraft using a dynamic bench / E. S. Lobashov. Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2009. ... The first stage of this method is implemented by reducing the original dynamic game to a matrix game of large scale. ... Key words : dynamic simulator, maximin testing, centrifuge, matrix game. ...
Estimation of instrumental errors for an inertial navigation system using the Schuler period / O. V. Demidov. Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2009. ... The control problem with consideration of the Schuler period is a special operation mode of the INS-2000 platform inertial navigation system. ... Some error equations of INS-2000 are proposed for this mode. ... Key words : inertial navigation system (INS), calibration, error equations, estimation. ...
Motion of a single hailstone / B. Ya. ... Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2009. ... A mathematical model is developed on the basis of theoretical and experimental data on the process of hailstone growth. This model is used to estimate the height of hailstone ascent, its maximum size, the time of its upward motion, and the time of its return to the initial height. ...
... Vestnik Moskovskogo Universiteta. ... Rod models of longitudinal, torsional, and bending vibrations are used to find the natural vibration spectrum of a carbon nanotube. ... It is shown that the spectra of longitudinal, radial, and torsional vibrations of the carbon nanotube are of the same order of magnitude (the minimum frequency is about 10^{11} Hz), whereas the natural frequency spectrum for the bending vibrations is of two orders of magnitude less (the minimum frequency is about 10^{9} Hz). ...
Evolution of detonation propagation through an annular gap into a combustion chamber / N. N. Smirnov, V. F. Nikitin, Yu. ... Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. ... Some results of theoretical studies of detonation processes in combustible gaseous mixtures are discussed for a model geometry of large combustion chambers of detonation engines in the case of mixtures of hydrogen and oxygen-enriched air. ... Key words : combustion, detonation, transition processes, engine. ...
Unsteady motions of dense envelopes generated by ionization-shock fronts in the interstellar medium / G. Yu. ... Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2009. ... The process of formation and acceleration of a neutral gas envelope during the propagation of an ionization-shock front in a spherical gas cloud is numerically modeled. The velocity and acceleration of the envelope as well as its mass variation with time are determined. ...
A generalization of the Gauss sum / Kh. ... Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2009. ... For the generalized Gauss sum . S(N;a,q)=\sum\limits_{k=1}^{Nq} e\bigg(\frac1N \Big( k-\frac{a}{q}\Big)^2\bigg), where N,q are natural numbers, a is integer, 0\leq a<q , (a,q)=1 , its value is determined. Key words : Gauss sum, Poisson summation. ...
Depth of \alpha -completions of systems of Boolean functions / D. V. Truschin. Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2009. ... A problem of implementation of Boolean functions by \alpha -formulas is considered. ... Upper and lower polynomial estimates of Shannon functions for \alpha -supplements of finite systems of Boolean functions are obtained. Key words : Boolean function, formula, complexity, depth. ...
A new estimate of the Montgomery constant in the theory of zeros distribution of the Riemann zeta-function in the critical stripe / I. F. Avdeev, L. G. Arkhipova. Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2009. ... The new value \alpha=\frac{91}{116} is obtained for the constant \alpha such that for all \sigma\geq \alpha the "density hypothesis" is valid for the Riemann zeta-function in the critical stripe. ...