By the method of numerical simulation, behavior deformation field both separated and related model fractal structures a cylindrical type was investigated. It is shown, that for considered structures, essentially depends on choice stochastic processes (realized during iterations) states qubit in perpendicular plane to axis cylinder. shown structure complex circular (elliptical) cylinder initial ...

Applying the finite-element method, we analyze stress-strain state of three-dimensional solids bounded by cylindrical surfaces with directrices in form confocal ellipses. In this case, use an elliptic coordinate system to deduce resolving equations. We also compare displacements a noncircular cylinder for different values semiaxes ellipses cross section.

In this paper, in the cylindrical domain, we consider a fractional elliptic operator with Dirichlet conditions. We prove, that first eigenvalue of is minimised circular cylinder among all domains same Lebesgue measure. This inequality called Rayleigh–Faber–Krahn inequality. Also, give Lyapunov and Hartmann–Wintner inequalities for boundary value problem.

Transmission efficiency is an important index to evaluate the transmission performance and energy consumption of gear systems. To analyse elliptic gears, load torque fluctuation model established influence system on input output. The data output under different working conditions are obtained by conducting test. Finally, pair through measurement test, its variation law analysed. results show th...

Abstract This paper investigates the spatial behavior of the solutions of the Laplace equation on a semi-infinite cylinder when dynamical nonlinear boundary conditions are imposed on the lateral side of the cylinder. We prove a Phragmén-Lindelöf alternative for the solutions. To be precise, we see that the solutions increase in an exponential way or they decay as a polynomial. To give a complet...