Solution of the deformation problem for flexible noncircular cylindrical shells subject to bending moments at the edges

An exact analytical solution is found to a nonlinear boundary-value deformation problem for a long noncircular cylindrical shell of variable curvature. The shell is subject to bending moments at the edges. The dependence of the stress-strain state of the shell on the curvature is analyzed __________ Translated from Prikladnaya Mekhanika, Vol. 42, No. 11, pp. 93–100, November 2006.     

Investigation of epoxide adhesive compositions cured with polyoxypropylene triamine

The results of investigations of the effect of Jeffamine-type curing agents on the adhesion and physicomechanical properties of epoxide compositions modified with rubber are presented. It was shown that epoxy-rnbber oligomers cured with polyoxypropylene tria mine are characterized by high elasticity with good cohesion and adhesion strength, which allows one to obtain adhesive compositions with small quantities of internal stresses on their basis that can be used at negative temperatures under the conditions of dynamic loads and thermal cycles.     

Modeling of the mechanism of hydrolysis of succinylcholine in the active site of native and modified (Asp70Gly) human butyrylcholinesterase

The quantum mechanics/molecular mechanics method was used to model the mechanism of hydrolysis of succinylcholine in the active site of native butyrylcholinesterase and the Asp70Gly single mutant enzyme. The energy diagram for the reaction pathway of the acylation was constructed, and the effect of the mutation on the reaction mechanism and energy characteristics of the process are discussed.     

Synthesis of novel optical isomers of α-methylpolyamines

Earlier unknown (R)- and (S)-α-methylspermidine, (R)- and (S)-α-methylspermine, (R,R)-, (S,S)-, and (R,S)-α,ω-dimethylspermine were synthesized in gram scale from readily available (R)- and (S)-2-aminopropanols in high overall yields.     

Cooperative population dynamics of an ensemble of Λ atoms in a bichromatic field

Equations are derived which describe the dynamics of three-level atoms with a Λ level scheme, interacting with two coherent resonance fields under conditions such that cooperative relaxation predominates over incoherent spontaneous emission. A numerical calculation of the temporal dynamics of the values of the atomic populations is performed. It is shown that coherent population trapping in the presence of cooperative decay is possible. The quantities characterizing this phenomenon are calculated—the width of the black line and the transition time to coherent trapping in this scheme. Zh. Tekh. Fiz. 68, 19–24 (June 1998)     

Numerical simulation of plate autorotation in a viscous fluid flow

A general formulation of the plane coupled dynamical and aerodynamical problem of the motion of a rigid body with a rotational degree of freedom in a viscous incompressible fluid flow is given. A computation technique for solving the Navier-Stokes equations based on the meshless viscous vortex domain method is used. The autorotation of a single plate and a pair of plates is investigated. The effect of the reduced moment of inertia and the Reynolds number on the angular rotation velocity is determined. The time dependences of the hydrodynamic loads are compared with the corresponding instantaneous flow patterns. The increased the autorotation velocity of two plates in tandem is detected.     

Isomonodromic deformations and the differential Galois theory

We show how to use solution of the inverse problem of the differential Galois theory for the construction of isomonodromic deformations. __________ Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 59, No. 8, pp. 1131–1134, August, 2007.