Mechanics
The paper contains new results related to extension of the field theoretical approach and its formalism to non-linear coupled
micropolar thermoelastic media. A mathematical model of micropolar (MP) type-II (GNII) thermoelastic (TE) continuum is considered.
A formulation of the least thermoelastic action principle is discussed. Partial differential equations subsequent to the least action
principle are derived. The translational symmetries of non-linear Lagrangians are adopted. Those include an additional symmetry:
Finite elementmodel of porous titaniuminserts for cementless endoprosthesis was reconstructed usingX-ray tomography. The stress distribution is calculated for a model with open-cell foam and composite bone / titanium. The results explain the mechanism of the porous structure destruction and positive influence of the osteointegration effect on the strength properties. Numerical calculations are confirmed by experimental data of the porous samples during compression testing.
The methology of solving the direct kinematics problem of manipulators by using screw mechanics methods (dual direction cosine matrices, Clifford biquaternions) is shown on the example of Stanford robot arm. Kinematic equations of motion of the manipulator
are found. These equations will be used for solving the inverce kinematics problem with the help of biquaternion theory of kinematic control.
The article contains investigation of second boundary value problem for equilibrium equation «in mixed formulation» describing nonclassical mathematical model for hinged isotropic and uniform plate under generalized Timoshenko hypothesis taking into account initial irregularities. For this problem for the first time were proved the existance of generalized solution and weak compactness of the
The purpose of the article is to generalize the results derived in the cases of a circular shell and of a shell with a cut edge. Non-stationary wave process in a cylindrical shell with an arbitrary edge is considered. Half-geodesic frame is introduced on the middle surface of the shell and dynamical simple edge effect is studied. To find the solution Laplace transform is used while the inverse transform is realized via saddle-point method.
The new model, which determines the active area (the region for which high-precision quantum methods must be used) of the
structure,was developed within the of the hybrid method (QM/MM). Problem of determining atoms with the critical tension values
is the basis of this model. The potential energy of these atoms and its nearest neighbours was calculated by quantum-chemical
method. The potential energy of the rest structure was calculated by molecular mechanical method. The Hybrid method (QM/MM)
The problem of determining the stress strain state of an elastic medium, taking into account the structural changes caused by the presence of diffusion fluxes. The influence of diffusion processes on the stress-strain state of the environment is taken into account by using the locally equilibrium model of thermoelastic diffusion, which includes the coupled system of equations of motion of an
The wall temperature change for a cylindrical cavity in a solid was found as a response to the temperature change of the gas flowing in a cavity. Three important special cases of the gas temperature dependence on time are considered: temperature is constant;
temperature changes according to the linear law; temperature changes according to the harmonic law. The plots of five «µ-functions» used to denote solutions are submitted. The plots are obtained by the means of the numerical integration of the Gauss quadrature
In present paper the results of the stress-strain state finite element analysis of the humanmaxillary complex after activating orthodontic
appliance are performed. Skull and abutment teeth models are obtained on the basis of the tomographic data of the dry intact adult
skull. Orthodontic appliance designs are differ in the arrangement of rods and screws relative to the sky. The equivalent stresses and
displacements of the maxillary bones and supporting the teeth are evaluated. It is shown that the horizontal location of orthodontic
The paper is about an active control problem. It solves the inverse problem of dynamics and concerns with construction of program motions of non-autonomous mechanical systems. This study is important and necessary in software design of automated systems for control of mechanisms. In particular, it is used in various modeling problems of robot-manipulators. Here, we construct all possible asymptotically stable program motions for a model of robots arm-manipulator, which is simulated by a mechanical system with three degrees of freedom.
Pages
