A coupled thermoelasticity model is used to study the dynamics of a thermoelastic half-plane influenced by nonstationary body forces and heat sources. In space of Laplace transforms with...

The purpose of this work is to study the influence of solar sail surface oscillations on the motion of a spacecraft performing an interplanetary flight. The solar sail is a propulsion system, creating thrust due to the pressure of sunlight. The article consists of three parts. The first part focuses on the wave equation applied to this problem. The equation for oscillations is derived for various cases of sail loading, and various types of its design. Also, we derived a formula for the thrust produced by the solar sail. In the second part, the problem of oscillations of the sail structure is solved and its thrust is estimated. Solar sail thrust depends both on the shape of the sail, and on its distance from the Sun. In the third part, the interplanetary flight is modeled taking into account these factors.

The heliocentric motion of the solar sail spacecraft (SSS) is described in classical Keplerian elements. The solar sail with an ideal reflection coefficient is considered. The spacecraft performs a non-coplanar motion with the sun gravity and the light pressure. Disturbances of other celestial bodies gravity are not considered. To confirm the results correctness, we simulated the motion of solar sail spacecraft. The spacecraft's initial orbit coincides with the average Earth orbit relative to the Sun. Authors developed a program complex to simulate the planar heliocentric movement and obtained results for motion simulation of flights to Venus. The results were compared with the simulation results obtained using the Pontryagin maximum principle.

The purpose of the research is to construct the method of the boundary integral equations (BIEM) for solving a transient value problem of coupled thermoelastodynamics. The following problems have been solved: (i) Dispersion properties of mountain rocks (marble, granite, limestone, sandstone etc) were investigated regarding their thermoelastic properties in the range 0÷1000 H; (ii) the influence of the temperature on the character of distribution of thermoelastic waves was investigated; (iii) The thermoelastic statement of media in two- and three-dimensional cases was considered under by action of the non-stationary concentrated mass forces and thermal sources; (iv) Two types of Tensors of fundamental stresses were constructed, their properties were investigated, and their asymptotics were constructed. The BIEM for the thermostresses condition of media was developed at the given non-stationary loadings and thermal flow on its border in bounds in two- and three-dimensional cases.