Smetankina N. Non-stationary vibrations, thermoelasticity and optimization of multilayer plates and cylindrical shells of complex plan shape

The research object is processes of deformation of multilayer plates and cylindrical shells at non-stationary force and temperature effects. The purpose of the work is development of effective methods for solving problems of non-stationary deformation, heat conductivity, thermoelasticity and optimization of multilayer plates and shells with a complex plan shape at action of short-term intensive loading and non-stationary temperature fields, and application of these methods for solving actual applied problems. Research methods are the immersion method, Fourier series theory, an expansion on the Legendre polynomials method, method of an expansion into Taylor's series, hybrid adaptive search method of optimization. On the basis of the refined theory of multilayer structures and the immersion method, research methods of non-stationary vibrations and thermostrained state of multilayer plates and cylindrical shells with a complex plan shape for the first time are developed. The new method is offered for solving problems of stationary and non-stationary heat conduction of multilayer plates of complex plan shape when they are heated with interlayer film heat sources. The technique of optimal design of multilayer plates and cylindrical shells is improved at impulse loading, the new two-level iterative scheme of mass minimization of anisotropic plates is proposed. The new complex technique for calculating strength of multilayer glazing elements of airplanes which completely considers influence of various operational factors is created. Scientific novelty of the received results consists in working out new and refinement of existing methods of research of non-stationary and thermoelastic deformation of multilayer plates and shells with a complex plan shape at temperature, impulse and shock loadings, and also development of method of optimal design of multilayer structural elements at non-stationary loading. Results of work are used at designing of multilayer glazing elements of airplanes in Antonov ASTC and PJSC "Spetstekhsteklo A". Areas of application are aircraft engineering, transport mechanical engineering, industrial building.