This work contains development of solution of the problems of theory of elasticity in curvilinear coordinates for displacement. For accurate solution of system of differential equations it is necessary to receive all equations for the same system for Euler s coordinates.

With use of а metiwd affinal differences distribution is investigated water temperatures in a wall of the hollow cylinder. The algorithm is developed and the program on the IBM for definition of temperatures in any point of the cylinder is made at the set temperature on internal and external surfaces. Analytically also the specific thermal stream on an external surface is ...

By using the asymptotic approach the solution of the Timoschenko-like equations governing the wave processes in the infinitely long elastic cylindrical shell lying on the non-homogeneous visco-elastic foundation has been constructed in the form of the wave packets traveling in the longitudinal direction. The solution represents the superposition of the bending and longitudinal waves.

The equation of characteristics for system of the equations of movement cubic anisotropic environment which thermal properties are described by the hyperbolic law of heat conductivity is obtained.

The new integral equations for brightness coefficients of pkineparellel dispersive medium of optical thickness Tq are obtained using invariance relations, involving usual Green’s functions or their generalization (for example, reduced Green’s functions) of radiation transfer equations. It is shown that the structure of these integral equations enables to obtain multiterm asimptotics ...

The paper presents the analysis of the mechanics the systems, which is modeling the motor-car with the basket jack - the telescopic lift. For the assumed mathenmtical model, its equations were introduced, solved by means of the Mathematica 5.2 software. The results are shown in the form of adequate graphs.

This work contains development of solution of the problem of optimization of the weight of beams from Hook's materials and also solution of this problem for nonlinear materials.

А cylindrical shell undergoing irregular temperature and radiation has been considered. The numerical solution has been proposed to solve the problem for fuel cladding under creep, thermal and radiation strains. A graphic distribution of deflections and stresses of a short cylindrical shell have been received.

In article the energy method, which may be successfully used to account of various statically indeterminate systems as “work method”, is considered in details (for examples, the bars, beam and frame). The effectiveness of energy method and the reason of using it in learn process is established.

Предложена структурная модель термоупругого поведения пространственно армированной среды при общей анизотропии компонент композиции. На основе энергетического критерия эквивалентности и кинематических допущений о связи усредненных деформаций такого композита с деформациями в компонентах композиции определены термоупругие характеристики эквивалентного материала. Показано, что на ...