A method for solution of the inverse boundary thermal conductivity problem of recovery of the heat fluxes to the structural components of aircraft fabricated of anisotropic materials is proposed. The method is based on a previously obtained analytical solution of a 2D nonstationary thermal conductivity problem in an anisotropic fin under boundary heat transfer. The method consists in parametric identification and finite element approximation of the dependence of the heat flux on the spatial variable. A regularizing algorithm is developed that permits identification of heat fluxes with large, up to 10%, errors in the experi mental temperature values. The results obtained in numerical experiments are analyzed.
Free vibrations of a three-layer cylindrical circular shell in an elastic medium are considered. It is assumed that the bearing layers satisfy the Kirchhoff-Love hypotheses. The work of transverse shear and the compression over the thickness are taken into account in the thick filler. It is assumed that the variations in the displacements are linear in the transverse coordinate. The displacement continuity conditions are used on the boundaries of contact. The Winkler hypothesis is accepted for the elastic inertialess environment. The variation in the natural vibration frequencies depending on the rigidity characteristics of the shell-environment system is studied.
An investigation is made of heat transfer in anisotropic bodies under conditions of phase transformations using the numerical solution of multidimensional unsteady-state problems of the Stefan type. A procedure of solving such problems is suggested. It is demonstrated that the characteristics of thermal conductivity tensors of both phases affect significantly both the temperature fields and the shape and velocity of motion of the boundary of phase transformations. Numerous results are analyzed of the effect which is made on the thermal state of anisotropic body by the orientation of principal axes and principal coefficients of thermal conductivity tensors of both phases.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.