Linnik A. Solving problems of stability plates at unhomogeneous before buckling state with the help of the R-functions method

Object of investigation is the orthotropic plates with complex form in the plan. The purpose of the work is the development of the new effective method for the solving stability and vibration problems of plates loaded in plan and investigation their of post buckling behaviour. The methods of investigation are variational, R-functions and numerical methods. Theoretical and practical value consists in the development of methods, algorithms and software for calculating stability and researching post bucling behaviour. Novelty: first the universal method for calculating stability and free vibration of orthotropic plates with complex forms at unhomogeneous before buckling state and researching their post bucling behaviour is worked out on the base of theory R-function and variational methods; the structural formulas for displacement functions are constructed. Application in fields where thin-walled elements are used i.e. in aerocosmic, building, metallurgical and another fields of industry is planned.