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The heat transfer in multiple plate sandwiches of spacecraft's screen-vacuum heat insulation is simulated for determining the characteristics of heat shielding against long-term solar heat flux. To choose optimal characteristics of heat shielding, it is necessary to determine precisely the number of plates and their peculiarities. The new, absolutely stable method for solving numerically heat transfer problems is presented. We obtain results showing that the screen-vacuum insulation is characterized by low heating-up inertance that is unacceptable. To remove this effect, the inertial heat shielding is used on the internal surface of the heat shielding and its state is examined. [ABSTRACT FROM AUTHOR]

A refined mathematical model of deformation mechanics for a plane curvilinear laminated rod taking into account transverse shear and reduction of package layers is proposed. The numerical algorithms to analyze the stress-strain state and free oscillations of the structure elements being considered are constructed. The refined model proposed provides a basis for extending the range of problems being solved and obtaining some new results. [ABSTRACT FROM AUTHOR]